The bearing from a lighthouse to Ship A is S 71° E. The bearing from the lighthouse to Ship B is S 39° E. If Ship A is 15 kilometers from the lighthouse and
Ship B is 96 kilometers from the lighthouse, find the distance between the ships
Answers
The distance between Ship A and Ship B is approximately 89.4 kilometers.
Now we can see that we have created a triangle with vertices L, A, and B. We want to find the length of side AB, which represents the distance between the ships. To do this, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angle C opposite side c,
c² = a² + b² - 2abcos(C)
In our case, c represents the distance between the ships, a represents the distance from the lighthouse to Ship A, and b represents the distance from the lighthouse to Ship B. We know that the angle between the two bearings is 32 degrees (since 71 + 39 = 110 and 180 - 110 = 70, and 70 - 39 = 32). So we can plug in the values we know and solve for c:
c² = 15² + 96² - 2(15)(96)cos(32)
c ≈ 89.4
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Related Questions
What is 7/8 + 8/45 =
Answers
Step-by-step explanation:
1.05277777778
hope it helps!
Answer:
1 19/360
Step-by-step explanation:
What we know:
The addends in this equation are 7/8 and 8/45.
First, find the LCM of 8 and 45. Since 8 and 45 don't have any common factors other than 1, just multiply the two numbers.
8 * 45 = 360
After that, find the equivalent fraction for both addends
7/8 * 45/45 = 315/360
8/45 * 8/8 = 64/360
Then, add the two new fractions together, and simplify if needed.
315/360 + 64/360 = 379/360 = 1 19/360
Question
Solve the inequality b – 27 > 3 and write the solution in interval notation, using improper fractions if necessary.
Answers
Answer:
(30, ∞)
Step-by-step explanation:
b – 27 > 3
Add 27 to both sides
b > 30
In interval notation
(30, ∞)
Answer:
(30,∞ )
Step-by-step explanation:
b> 27+3
b> 30
A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.
What kind of statistical study did the veterinarian conduct?
A.
theoretical study
B.
survey
C.
experiment
D.
observational study
Answers
Answer:b
Step-by-step explanation:
Plato
I have 8 red Valentine card and 2 pink. How many reds and pinks would I need to add to my collection so that the proportion of pink is 44%?
Answers
Answer:
88%
Step-by-step explanation:
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500
Answers
Answer:
The following statements about Josiah's solution are true:
He found the proportion of rock songs to the total number of songs correctly: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction.
He solved the proportion correctly: StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction.
He correctly determined that the number of rock songs on his MP3 player is 300 (x = 300).
Therefore, the statements that are true are:
He found the proportion of rock songs to the total number of songs correctly.
He solved the proportion correctly.
He correctly determined that the number of rock songs on his MP3 player is 300 (x = 300).
Describe the set of all complex numbers that are at a distance of 2 units from the origin.
Answers
Answer:
The description of the set is \(A = \{s\in \mathbb{C}|\|s\| = 2\}\).
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
\(s = a+i\, b\), \(a,b \in \mathbb{R}\) (1)
Where \(i = \sqrt{-1}\).
In addition, the distance from the origin is defined by the following Pythagorean identity:
\(\|s\| = \sqrt{a^{2}+b^{2}}\) (2)
The following condition must be satisfied:
\(\|s\| = 2\)
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
\(A = \{s\in \mathbb{C}|\|s\| = 2\}\) (3)
The set of all complex numbers that are at a distance of 2 units from the origin is \(\{z\in \mathbb{C} :\text{ }|z|=2\}\)
A complex number, written in rectangular form is
\(z=a+ib\\a,b\in \mathbb{R}\)
The distance of a complex number from the origin (the modulus of the complex number, denoted by \(|z|\)) is given by the formula
\(|z|=\sqrt{a^2+b^2}\)
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
\(|z|=2\)
thus, the set we are looking for is
\(D=\{z\in \mathbb{C} :\text{ }|z|=2\}\)
where \(\mathbb{C}\) is the set of all complex numbers
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Math help please!! Thanks in advance.
Answers
The third table is the answer.
x=-5 => y=-5-6=-11
x=-8 => y=--8-6=-14
y=-7 => y=-7-6=-13
Consider the following series and level of accuracy. ∑ n=0
[infinity]
(−1) n
6 n
+2
1
(10 −4
) Determine the least number N such that ∣R N
∣ is less than the given level of accuracy. N= 0. [-/8 Points] Consider the following series and level of accuracy. ∑ n=1
[infinity]
7 n
n
(−1) n
(10 −4
) Determine the least number N such that ∣R N
∣ is less than the given level of accuracy. N=
Answers
The least number N such that |\(R_N\)| is less than the given level of accuracy is N = 4.
To determine the least number N such that the remainder term |\(R_N\)| is less than the given level of accuracy, we need to apply the alternating series remainder theorem.
For the series Σₙ₌₀(-1)ⁿ × \(6^{(n+2)\)/(10⁴), the remainder term \(R_N\) is given by:
|\(R_N\)| ≤ |\(a_{(N+1)\)|,
where \(a_{(N+1)\) is the absolute value of the (N+1)-th term of the series.
To find N, we need to find the term that satisfies |\(a_{(N+1)\)| < 10⁻⁸. Let's calculate the terms of the series:
a₁ = (-1)¹ × \(6^{(1+2)\)/(10⁴)
= -6³/(10⁴)
= -216/10000
a₂ = (-1)² × \(6^{(2+2)\)/(10⁴)
= 6⁴/(10⁴)
= 1296/10000
a₃ = (-1)³ × \(6^{(3+2)\)/(10⁴)
= -6⁵/(10⁴)
= -7776/10000
a₄ = (-1)⁴ × \(6^{(4+2)\)/(10⁴)
= 6⁶/(10⁴)
= 46656/10000
We can observe that the magnitude of the terms alternates between increasing and decreasing.
Checking the magnitude of the terms:
|a₁| = |216/10000| ≈ 0.0216
|a₂| = |1296/10000| ≈ 0.1296
|a₃| = |7776/10000| ≈ 0.7776
|a₄| = |46656/10000| ≈ 4.6656
We see that |a₄| ≈ 4.6656 > 10⁻⁸.
Therefore, we need to find the least number N such that N ≥ 4.
Hence, the least number N such that |\(R_N\)| is less than the given level of accuracy is N = 4.
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Vocab cards: Use this word in a sentence or give an example to show you understand its meaning.
Answers
2. I don’t know the formula to this do you?
3. So the equation says to find the length that miles ran
4. I don’t think we divide we should try to multiply first
5. Let me see how we can find the perimeter of this
6. My package came in a rectangle shape so I couldn’t tell what it was
7. I always get mixed up between a square and a rectangle
8.The apartments are in the shape of a square unit
9. After we find the length we have to find the width to solve this problem
The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answers
Answer:A) 8 miles
Step-by-step explanation:
8 miles
paul planed a 160 mile trip and assumed he would travle at an average rate of 50 miles per hour after 2 hours at his planned rate of travle, traffic slowedand he was only able to travel 40 miles per hour for the remainder of the trip. what effect did the slower speed have on his predicted travle time?
Answers
The effect of the slower speed is paul would be late by 10 minutes.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
Paul planned a 160-mile trip and assumed he would travel at an average rate of 50 miles per hour.
Estimated time = 160 / 50 = 3.2 hours
After 2 hours at his planned rate of travel, traffic slowed and he was only able to travel 40 miles per hour for the remainder of the trip.
Actual time = 2 + [160 - 2×50]/40
Actual time = 3.5 hours
Thus, the effect of the slower speed is paul would be late by 10 minutes.
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Office equipment is purchased with a down payment of 30% of the
cash value and 12 monthly installments of $375, if the interest
rate is 2.7% per month. Determine the cash value of the office
equipment
Answers
The cash value of office equipment purchased with a down payment of 30% of the cash value and 12 monthly installments of $375, with an interest rate of 2.7% per month, is $15,405.
The total amount of the monthly installments is 12 * $375 = $4,500.
The interest paid on the monthly installments is $4,500 * 2.7% = $121.50.
Therefore, the cash value of the office equipment is $4,500 + $121.50 = $4,621.50.
The down payment is 30% of the cash value, so the cash value is $4,621.50 / 0.3 = $15,405.
This is the amount that the buyer needs to borrow in order to purchase the office equipment. The monthly installments will be used to pay off the loan, plus interest.
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in the equation, y = 0.007x, how many inches of rain falls in 6 minutes?
Answers
Answer:
X represents the value you can multiply with the slope to get the answer.
y = 0.007x
= 0.007(6)
= 0.042
Therefore, 0.042 inches of rain falls in 6 minutes.
For this experiment you have been randomly assigned to a group consisting of you and one other person. You do not know now, nor will you ever know, who this other person is. For this experiment all you have to do is distribute your 10 points into two accounts. One account called KEEP and one account called GIVE. The GIVE account is a group account between you and your group member. For every point that you (or your group member) put in the GIVE account, I will add to it 50% more points and then redistribute these points evenly to you and your group member. The sum of the points you put in KEEP and GIVE must equal the total 10 points. Any points you put in the KEEP account are kept by you and are part of your score on this experiment. Your score on the experiment is the sum of the points from your KEEP account and any amount you get from the GIVE account. For example, suppose that two people are grouped together. Person A and Person B. If A designates 5 points in KEEP and 5 points in GIVE and person B designates 10 points to KEEP and 0 points to GIVE then each person’s experiment grade is calculated in this manner: Person A’s experiment grade = (A’s KEEP) + 1.5(Sum of the two GIVE accounts)/2 = 5 +(1.5)(0+5)/2= 5 + 3.75 = 8.75. Person A’s score then is 8.75 out of 10. Person B’s experiment grade = (B’s KEEP) + 1.5(Sum of the two GIVE accounts)/2 = 10 +(1.5)(0+5)/2 = 10 + 3.75. Person B’s score then is 13.75 out of 10. (you can think of any points over 10 as extra credit) In this module’s activity you were asked to make a decision about how to invest your resources (points). This activity is a classic strategic game where the good of the individual is at odds with the good for the group. These problems are pervasive in risk management. For example, a physician who is trained to treat diseases may be reluctant to discuss alternative treatments with a patient when the physician is sure that a specific treatment is the only truly viable treatment. Nonetheless, you have learned in this course that physicians (or an agent of the physician) must have this discussion and bow to the will of the patient even if, in the physician’s judgment, the patient chooses an alternative treatment which is likely to be superfluous. In this way, informed consent and patient education are nuisances to the physician but are very important to protect the group (maybe a hospital or surgical group) from liability. In light of recent events another example is warranted. Individuals may choose to not get vaccinated since they do not want to bear the risk of any possible adverse side-effects of a vaccine. This is perfectly reasonable to do so. The problem arises when large groups of people choose to not get vaccinated thus making the impact of the disease relatively larger than need be if everyone would choose to take a vaccine (remember our first cost-benefit experiment). This implies that individual’s rights to choose not to vaccinate are at odds with what is good for the group of individuals. These types of problems are common in risk management. Discussion: (If you post your answers to each of the four questions below before the deadline, you will get the full ten points for the discussion. The questions do not need to be answered mathematically or with a calculation. If you feel the need to use mathematics to make a calculation, then you are free to do so but the questions are merely asking you for a number and how you arrived at that number. If you do not do any calculations to arrive at the number, just say how you arrived at the number. (There are no incorrect answers.) 1. In this activity how did you arrive at your decision on the keep-give split? 2. What is the best outcome of this situation for you? 3. What is the best outcome of this situation for the group? 4. Can you see any parallels with this game and how risk management strategies work? Explain.
Answers
1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.
2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.
3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.
4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.
Which of the following is not an exact differential equations? a. 2xydx+(1+x2)dy=0 b. (x+siny)dx+(xcosy−2y)dy=0 c. sinxcosydx−sinycosxdy=0 d. (2xy+x)dx+(x2+y)dy=0
Answers
Hence, the differential equation that is not an exact differential equation is (d) \((2xy+x)dx+(x^2+y)dy=0.\)
Exact differential equations are those that have the property that its solution can be determined directly by integrating them once.
It does not matter how complex or simple the exact differential equation is.
It can be recognized by its differential being the result of differentiating an expression involving the variables alone, such that the expression is an integrable function of one variable that does not involve the other variable.
This means that the partial derivative of one variable with respect to the other is independent of the order of differentiation.
Which of the following is not an exact differential equations?
The differential equation is an exact differential equation if it can be written in the form Mdx+Ndy=0,
where M and N are functions of x and y, such that the mixed partial derivatives of M and N are equal, which is ∂M/∂y=∂N/∂x.
If this is true, then the differential equation is an exact differential equation.
A differential equation that is not exact is one where the mixed partial derivatives of M and N are not equal to each other.
Thus, one possible method of solving these differential equations is by utilizing integrating factors to transform the equation into an exact differential equation.
Hence, the differential equation that is not an exact differential equation is(d) (2xy+x)dx+(x^2+y)dy=0.
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∂M/∂y = ∂N/∂x, option d is an exact differential equation.
Therefore, options a and b are not exact differential equations.
To determine which of the given differential equations is not exact, we can check if the partial derivatives of the coefficients with respect to the variables are equal. If they are not equal, the equation is not exact.
Let's calculate the partial derivatives for each option:
a. For the equation 2xydx + (1 + x^2)dy = 0:
∂M/∂y = 0 and ∂N/∂x = 2y.
Since ∂M/∂y ≠ ∂N/∂x, option a is not an exact differential equation.
b. For the equation (x + sin(y))dx + (xcos(y) - 2y)dy = 0:
∂M/∂y = cos(y) and ∂N/∂x = 1.
Since ∂M/∂y ≠ ∂N/∂x, option b is not an exact differential equation.
c. For the equation sin(x)cos(y)dx - sin(y)cos(x)dy = 0:
∂M/∂y = -sin(y)cos(x) and ∂N/∂x = -sin(y)cos(x).
Since ∂M/∂y = ∂N/∂x, option c is an exact differential equation.
d. For the equation (2xy + x)dx + (x^2 + y)dy = 0:
∂M/∂y = 2x and ∂N/∂x = 2x.
Since ∂M/∂y = ∂N/∂x, option d is an exact differential equation.
Therefore, options a and b are not exact differential equations.
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find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
Answers
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations. False True
Answers
The statement "Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations" is False.
Linear programming can be used to find the optimal solution for profit as well as for non-profit organizations. Linear programming is a method of optimization that aids in determining the best outcome in a mathematical model where the model's requirements can be expressed as linear relationships. Linear programming can be used to solve optimization problems that require maximizing or minimizing a linear objective function, subject to a set of linear constraints.
Linear programming can be used in a variety of applications, including finance, engineering, manufacturing, transportation, and resource allocation. Linear programming is concerned with determining the values of decision variables that will maximize or minimize the objective function while meeting all of the constraints. It is used to find the optimal solution that maximizes profits for for-profit organizations or minimizes costs for non-profit organizations.
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I just need help on this and fast
Answers
hope this helps you understand the concept
(6,9) is F
(-4,-5) is B
(-7,6) is L
(-5,0) is E
(1,5) is M
(7,2) is K
I can’t tell what the first one say for the last question. If it’s B it’s quadrant 3
(7,2) is quadrant 1
(-7,6) is quadrant 2
I can’t tell what the 4th one is. It’s either quadrant 3 or 4. If both X and Y is negative, it’s quadrant 3. If the X is positive and it has negative 3 as a Y, it’s in quadrant 4
E is on the X axis
(-9,-9) is in quadrant 3
Ones to re do: N is (-9,-3) not positive 9 or positive 3. I is (5,-7) not positive 7. G is (-9,-9) C is (-2,7)
And if it helps write it as a number line on the y axis and x axis so you don’t mix up the positives and negatives
Hope these answers help! Keep up the good work! Don’t give up :)
what two numbers multiply to 60 and add up to -17?
Answers
Answer:
-5 and 12
Step-by-step explanation:
Answer:
-5 and -12
Step-by-step explanation:
-5 + (-12) = -17
-5 (-12) - 60
2001:01:11CA triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h,in cm?4x
Answers
SOLUTION
\(\begin{gathered} \text{The triangle has lengths } \\ 3x,7x\text{ and h} \\ \end{gathered}\)To get h
\(\begin{gathered} h\text{ must be greater than difference betw}ee\text{n} \\ 3x\text{ and 7x} \\ \text{That is } \\ 7x-3x=4x \end{gathered}\)And also
\(\begin{gathered} h\text{ must be less than the sum of 7x and 3x} \\ \text{That is } \\ 7x+3x=10x \end{gathered}\)So
\(\begin{gathered} h>4x\text{ and } \\ h<10x \\ \text{Therefore } \\ 4x4x is less than h and h is less than 10xThe first option is therefore the correct answer
Solve the equation for the given variable. (type "no solution" if the equation has no solution and type "all
real numbers" if the equation is valid for all possible x-values)
4(4x + 2) + 2(9x + 4) + 3 = 34x + 19
Answers
Answer:
all real numbers
Step-by-step explanation:
4(4x+2)+2(9x+4)+3=34x+19
16x+8+18x+8+3=34x+19
34x+19=34x+19
all real numbers
:]
At a large company retreat, management orders subs for lunch. They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub. Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian. Are the conditions for inference met?
No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all of the conditions for inference are met
Answers
Since random condition, 10% condition and Large counts condition are met, all of the conditions for inference are met.
Given that,
At a large company retreat, management orders subs for lunch.
They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub.
Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer.
The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian.
Conditions for inference are met if three conditions are met.
They are randomness, normal and independence.
Since the sample is random, random condition is met.
Normal condition is met if the sample size is reasonably large which is the Large Counts Condition.
Here sample size is >30. So it is also met.
For the condition of independence, 10% condition has to be met, which is the condition that sample size should not exceed 10% of the total population.
Here population size is not given.
Since it is a large company, we assume that the population is large enough that 10% condition is also met.
Hence all conditions are met.
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The area of LMN is 18 ft2, and the area of FGH is 32 ft². If LMN -FGH, what is the ratio of LM to FG?
A. 3:4
B. 3√2:4
C. √3:2
D. 4:3
Please select the best answer from the choices provided
Answers
The ratio of LM to FG is 3:4, so correct option is A.
Describe Triangles?A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.
The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.
Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.
Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.
If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.
Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).
So we have:
LMN / FGH = 18 / 32
(x²) = 18 / 32
x² = 9 / 16
x = (3 / 4)
Therefore, the ratio of LM to FG is 3:4, which is option A.
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the unit value of a cubic centimeter is the same as which metric measurement?
Answers
Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).
This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.
This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.
The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.
The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.
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1. Stingy Credit serves only low-risk customers and charges a 6% interest rate. If one of Stingy's
customers has to pay the company $3,000 in interest a year, how much money did the customer borrow?
Answers
The amount borrow by one of the Stingy's customer with interest in a year of $3000 at 6% interest rate is equal to $50,000.
As given in the question,
Interest rate 'R' = 6%
Interest amount 'I' = $3000
Time 'T' = 1year
Let 'P' be the money borrow by Stingy's customer
Simple interest = (P×R×T) /100
⇒3000 = (P×6×1) / 100
⇒P = (3000×100) / 6
⇒P = $50,000
Therefore, the amount borrow by one of the Stingy's customer with interest in a year of $3000 at 6% interest rate is equal to $50,000.
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How large a sample is required to obtain a 99% confidence interval for the proportion of all newborns who are breast-fed exclusively in the first two months of life to within 2 percentage points?
Answers
A sample size of approximately 4,148 newborns is required to obtain a 99% confidence interval for the proportion of all newborns who are breast-fed exclusively in the first two months of life to within 2 percentage points.
To calculate the required sample size for a 99% confidence interval with a margin of error (precision) of 2 percentage points for the proportion of newborns breast-fed exclusively in the first two months of life,
we will use the following formula:
\(n = (Z^2 * p * (1-p)) / E^2)\)
where:
n = required sample size
Z = Z-score for the desired confidence level (in this case, 99%)
p = estimated proportion (since we don't have this value, we will use 0.5 for the most conservative estimate)
E = margin of error (2 percentage points, or 0.02 in decimal form)
For a 99% confidence interval, the Z-score is 2.576.
Now, let's plug these values into the formula:
\(n = (2.576^2 * 0.5 * (1-0.5)) / 0.02^2\)
n = (6.635776 * 0.5 * 0.5) / 0.0004
n = 1.658944 / 0.0004
n ≈ 4147.36
Since we cannot have a fraction of a person, we will round up to the nearest whole number.
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8 girls and 17 boys how many boys are in total out of 100 students
Answers
Answer:
68 boys
Step-by-step explanation:
8 girls + 17 boys = 25 students.
boys make up 17/25.
17 out of 25 = (17 X 100) / 25 = 68 (%)
so, out of 100 students, there will be 68 boys
Generally, one gallon of paint can cover 350 ft².
How many gallons would be required to cover a wall that measures 144 ft2? "Round your answer to the correct number
of significant figures.
Answers
0.41 gallons of paint (rounded to two significant figures).
This is calculated by dividing the area of the wall (144 ft²) by the area that one gallon of paint can cover (350 ft²), which gives us:
144 ft² ÷ 350 ft²/gallon = 0.4114285714 gallons
We then round this number to two significant figures, which gives us 0.41 gallons.
( 8 2/4 + 2 1/6) - 5 2/12
Answers
Answer:
5 1/2 or 5.5
Step-by-step explanation:
=8 1/2+2 1/6-5 2/12
=17/2+ 2 1/6-5 2/12
=17/2+13/6-5 2/12
=32/3- 5 2/12
=32/3-31/6
=11/2
=5 1/2
i wil make u brainliest
help help help
Answers
Answer:
I can only answer ii.
A=Lxwxh
=6mx3mx4m
=18mx4m
A=40msquared .
A=Lxwxh
40msquared = 6mx3mxh
40msquared =18msquaredxh
40/18msquared=18xh/18msquared
131/3=h.
that's what I thought
Step-by-step explanation:
I think I should first find the area
of the figure.then I will use the area to find the height.