Answer:
B. 3.375
D. 2.25 × 1.5
Step-by-step explanation:
(1.5)³ = 1.5×1.5×1.5
= 2.25×1.5 (option D)
= 3.375 (Option B)
While working at a soup kitchen, Suzie made 9 quarts of vegetable soup to serve 25 people. She gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
Each person gets .36 quarts of vegetable soup.
Step-by-step explanation:
If Suzie makes 9 quarts of vegetable soup to serve among 25 people, you must divide 25 by 9, doing so you get .36 .
Is alcohol misuse biologically determined or culturally influenced? This debate is most relevant to the issue of:
O observation versus introspection.
O nature versus nurture.
O psychoanalysis versus cognitive psychology.
O structuralism versus functionalism.
O behavior versus mental processes.
The debate over whether alcohol misuse is biologically determined or culturally influenced is most relevant to the issue of nature versus nurture.
What is an nature?Nature refers to the physical world and its natural processes and phenomena, including everything from living organisms and their environments to the physical forces and structures that shape the universe.Diversity of life: The vast array of species and ecosystems that make up the biosphere, each with their own unique characteristics and adaptations.Natural processes: The physical, chemical, and biological processes that shape the Earth and its environment, including weather, erosion, and evolution.Physical structures: The geological and astronomical structures that form the foundation of the Earth, including mountains, oceans, and stars.Balance and harmony: The intricate interdependence of living and nonliving things, where changes in one part of the system can have far-reaching effects on the rest.Nature provides essential resources for human survival and well-being, as well as aesthetic beauty and inspiration. It is important to understand and protect the delicate balance of nature to ensure its continued existence and prosperity for future generations.To learn more about nature refer:
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The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes. What is the probability that the cycle time exceeds 60 minutes if it is known that the cycle time exceeds 55 minutes
The probability that the cycle time exceeds 60 minutes given that it exceeds 55 minutes is 2/1 or simply 1, which means it is certain that the cycle time exceeds 60 minutes if it exceeds 55 minutes.
Given that the cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes, we know that the probability density function is:
f(x) = 1 / (70 - 50) = 1/20, for 50 <= x <= 70
To find the probability that the cycle time exceeds 60 minutes given that it exceeds 55 minutes, we need to use conditional probability:
P(X > 60 | X > 55) = P(X > 60 and X > 55) / P(X > 55)
We can simplify this by noticing that if X is greater than 55, then it must be between 55 and 70, and therefore:
P(X > 55) = P(55 <= X <= 70) = (70 - 55) / (70 - 50) = 1/4
Similarly, we can rewrite the numerator as:
P(X > 60 and X > 55) = P(X > 60)
since if X is greater than 60, it is also greater than 55.
Now, to find P(X > 60), we integrate the density function from 60 to 70:
P(X > 60) = ∫60^70 (1/20) dx = (1/20) × (70 - 60) = 1/2
Putting it all together:
P(X > 60 | X > 55) = P(X > 60 and X > 55) / P(X > 55)
= P(X > 60) / P(X > 55)
= (1/2) / (1/4)
= 2
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Which of the following could be the side lengths of a right triangle?
a. 3, 13 and 14
b. 4, 5, and 6
c. 4, 9, and 10
d. 5, 10, and 15
e. 5, 12, and 13
Answer:
e) 5, 12, and 13
Step-by-step explanation:
To find if the given triangle is right triangle, use Pythagorean theorem.
If the sum of the squares of the two smaller sides equals the square of the largest side, then the triangle is a right angle triangle.
Sum of the two smallest side = 5² + 12²
= 25 + 144
= 169
Square of the largest side = 13²
= 169
sum of squares of smallest side =square of the largest side.
So, 5 , 12 , 13 form a right triangle.
Answer:
OptionE)5,12,13
Step-by-step explanation:
If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, \(a^{2}+b ^{2} =c^{2}\) To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. Start with the first set of numbers: 3, 13, and 14.
\(3^{2} + 13^{2} = 14^{2} \\9+169=196\)
\(178=196\)
Since the result is not a true equality, the first set of values does not represent the side lengths of a right triangle. Test the other four choices. The only values that satisfy the Pythagorean Theorem are 5, 12, and 13.
\(5^{2} +12^{2} = 13^{2} \\25+144=169\\169=169\)
Hence 5,12,and 13 are side lengths of a right triangle
What degree measure is equivalent to 7π/11?
Answer:
114.54°
Step-by-step explanation:
Convert radians into degrees.
Hello, just checking my work. First right answer will be brainiest
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
0.2 hours
0.4 hours
2.5 hours
5.0 hours
Answer:
0.4
Step-by-step explanation:
how many minutes are in 4 miles
Answer:
I believe it’s C. 2.5
Step-by-step explanation:
Find the product and briefly explain the process and reasoning. Explain how you determined the location of the decimal point.
0.67x0.3=
Answer:
Step-by-step explanation:
0.201 is the answer
Use the counterexample method to prove the following categorical syllogisms invalid. In doing so, follow the suggestions given in the text.
All meticulously constructed timepieces are true works of art, for all Swiss watches are true works of art and all Swiss watches are meticulously constructed timepieces.
The categorical syllogism "All meticulously constructed timepieces are true works of art" is invalid. A counterexample can be found by considering a meticulously constructed timepiece that lacks aesthetic value.
To use the counterexample method to prove the categorical syllogism "All meticulously constructed timepieces are true works of art, for all Swiss watches are true works of art and all Swiss watches are meticulously constructed timepieces" invalid, we need to find a counterexample that shows the conclusion is false even if the premises are true. Let's consider a scenario in which there is a meticulously constructed timepiece that is not a true work of art. This would be a counterexample to the conclusion, since the conclusion asserts that all meticulously constructed timepieces are true works of art.
For example, suppose that there is a meticulously constructed timepiece that is made with the sole purpose of accurate timekeeping, and has no aesthetic value. This timepiece can be considered a counterexample to the conclusion, since it is meticulously constructed but not a true work of art.
Therefore, the categorical syllogism "All meticulously constructed timepieces are true works of art, for all Swiss watches are true works of art and all Swiss watches are meticulously constructed timepieces" is invalid, since there exist cases where the premises are true but the conclusion is false.
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A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3
Answer:(b) step 1
Step-by-step explanation:
The wrong step in the student's workings is step 1
How to determine the wrong step?The equation is given as:
x^2 - 2x - 8 = 0
Expand the equation
x^2 + 2x - 4x - 8 = 0
Factorize the equation
x(x + 2)- 4(x + 2)
Factor out x + 2
(x - 4)(x + 2) = 0
The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0
This means that the step 1 of the student's step is wrong and incorrect
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A rectangle is shown. The length of the rectangle is labeled 10 feet. The width of the rectangle is labeled 4 feet.
What are the dimensions if the poster is enlarged by a factor of three over two?
A. 12ft by 30ft
B. 2ft by 5ft
C.6ft by 15ft
D.5ft by 12ft
Answer:
C, 6 by 15 ft.
Step-by-step explanation:
10*3/2=15, and 4*3/2=6, so we get 6 by 15ft
Pls brainliest for leveling up
A combination lock has 6 settings, where any digit from to can be selected for each setting, and any digit may be repeated. How many different numeric combination codes can be set on this lock
There are 1,000,000 different numeric combination codes that can be set on this lock.
Given that a combination lock has 6 settings, and any digit from 0 to 9 can be selected for each setting with the possibility of repetition, the number of different numeric combination codes that can be set on this lock can be calculated as follows:
Your answer: There are 10 possible digits for each of the 6 settings (0-9). Since each setting is independent and any digit can be repeated, you can simply multiply the number of possibilities for each setting together.
Step 1: Determine the number of possibilities for each setting (0-9) which is 10.
Step 2: Multiply the number of possibilities for all 6 settings: 10 x 10 x 10 x 10 x 10 x 10.
This results in 1,000,000 different numeric combination codes that can be set on this lock.
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sorry to be a bug again but please help with 8, 9, and 10 please!
8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.
9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.
10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.
How to obtain the percentages?From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:
10 + 11 + 14 + 15 + 22 + P = 100
72 + P = 100
P = 100 - 72
P = 28%.
Then the percentage for Pinocchio or Cars is of:
28 + 11 = 39%.
The percentage for Pinocchio or Toy Story is of:
28 + 22 = 50%.
(about half).
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95 increased by 10%. SIMPLIFIED ANSWERS.
Answer:
104.5
Step-by-step explanation:
10% of 95 is 9.5 and if you add that to the original value you get the answer
Answer:
95, percentage increased by 10% (percent) of its value = 104.5
For the following exercise, solve the quadratic equation by completing the square. 2x^(2)+6x-1=0
The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.
To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:
Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.
Move the constant term to the other side of the equation. Add 1 to both sides:
\(2x^2 + 6x = 1\)
Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.
Add the result from step 3 to both sides of the equation:
\(2x^2 + 6x + 9 = 1 + 9\)
Simplifying, we get:
\(2x^2 + 6x + 9 = 10\)
Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)
\((x + 3)^2 = 10\)
Take the square root of both sides:
\(√[(x + 3)^2] = ±√10\)
Simplifying:
\(x + 3 = ±√10\)
Solve for x by subtracting 3 from both sides:
x = -3 ± √10
So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.
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Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.)
P(−6, −7, −2), Q(−2, −9, −9)
r(t)=
Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.)
=>
In order to represent the line segment from P to Q by a vector-valued function, we are required to first calculate the vector from P to Q which is then used as the direction of the vector-valued function. The direction vector is found by subtracting the position vectors of Q and P.
We can thus write;` r(t) = P + t(Q-P)`where;
P = (-6, -7, -2) and
Q = (-2, -9, -9)Substituting the above values into the formula we obtain; r(t) = (-6, -7, -2) + t[(-2, -9, -9) - (-6, -7, -2)]
Expanding the brackets, we have;
r(t) = (-6, -7, -2) + t(-2+6, -9+7, -9+2)
r(t) = (-6, -7, -2) + t(4, -2, -7)
Therefore, the vector-valued function of the line segment from P to Q is;r(t) = (-6 + 4t, -7 - 2t, -2 - 7t)
x = -6 + 4t,
y = -7 - 2t,
z = -2 - 7t`
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Find the area of the combined rectangles. Please help me
Answer:
8: 190 yd , 9: 30 m, 10: 92 ft
Step-by-step explanation:
for 8, you can spit it up pretty simply. find 10x18 which is 180 and then 5x2 which is 10 so 8 is 190.
for 9, 2x8=18 for the top portion and for the sides 3x2=6, so twelve. Combined its 30m.
for 10, 10x8=80, then 6x2=12. so 92 ft combined.
I appreciate all who helps this is do in a few min.
According to the Food and Drug Administration, the
recommended daily intake of iron is 18 mg. This is 4 less than twice
the recommended daily intake of zinc. What is the recommended
daily intake of zinc?
Greetings from Brasil...
Let's do
Fe = iron
Z = zinc
(remembering the periodic table)
According to the question of the statement:
Fe = 18
and
"... intake of iron is 18 This is 4 less than twice the recommended daily intake of zinc..."
That is, 18 of Fe is double that of zinc minus 4 units
Writing this situation mathematically:
Fe = 2 · Z - 4
18 = 2Z - 4
18 + 4 = 2Z
22 = 2Z
22/2 = Z
11 = ZI need help ASAP!!!Please explain how you got your answer
Answer:
See the pic below.
Step-by-step explanation:
I erased the incorrect answers and filled in the correct answers with numbers.
what is the value of
\( \frac{7}{3} \div \frac{5}{6} \)
Solve the equation.
-8+x=45
A x =51
B x=53
C x = -5.625
D x=37
Hello !
Solve the equation\(-8 + x = 45\\-8 + x + 8 = 45 + 8\\\boxed{x = 53}\)
Hello !
Answer:
\(\boxed{\sf Option\ B\to \boxed{x=53}}\)
Step-by-step explanation:
We're looking for the value of x that verifies the equation.
\(-8+x=45\)
Let's add 8 to both sides
\(\sf -8+x+8=45+8\)
Now let's calculate !
\(\sf x=45+8\\\boxed{\sf x=53}\)
Have a nice day ;)
Two people push against a 113 kg refrigerator in opposite directions with forces of 140 N
and 190 N, respectively.
What would be the resulting acceleration of the refrigerator
Answer:
Results in 27 N in the direction of the person pushing with 140 N
Step-by-step explanation:
140-113=27 N
Sorry, if I did wrong, I'm in middle school so its a bit ahrd.
four less than the quotient of a number and two is no more than ten what is the number
{write and solve an inequality}
The inequality is represented as;
x/2 - 4 ≤ 10
x ≤ 28
What are inequalities?
Inequalities are described as the relation such that make an uneven comparison between two numbers, expressions or even variables.
The different signs of inequality are;
< represents less than> represents greater than ≥ represents greater than or equal to≤ represents less than or equal toFrom the information given, we have that;
four less than the quotient of a number and two is no more than ten what is the number
Let the number be x
This can then be represented as;
x/2 - 4 ≤ 10
x/2 ≤ 10 + 4
x/2 ≤ 14
x ≤ 28
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recall that an event is a collection of sample points, and the probability of an event is the sum of the probabilities of the sample points in the event. the sample points were given to be e1, e2, e3, e4, e5, e6, and e7. event a is made up of the sample points e1, e4, and e6. thus, how can the probability of event a be determined? p(e1) p(e4) p(e6) p(e2) p(e3) p(e5) p(e7) event b is made up of the sample points e2, e4, and e7. thus, how can the probability of event b be determined? p(e2) p(e4) p(e7) p(e1) p(e3) p(e5) p(e6) event c is made up of the sample points e2, e3, e5, and e7. thus, how can the probability of event c be determined? p(e2) p(e3) p(e5) p(e7) p(e1) p(e4) p(e6)
To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:
P(A) = P(e1) + P(e4) + P(e6)
To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:
P(B) = P(e2) + P(e4) + P(e7)
To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:
P(C) = P(e2) + P(e3) + P(e5) + P(e7)
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Jenny made $187 for 11 hours of work.
At the same rate, how many hours would she have to work to make $85?
Please help me!!!
Answer:
5 HOURS
Step-by-step explanation:
To find how much she made per hour you have to divide $187 by 11 which is 17
to find how much hours she worked to make $85 u have to divide 85 by 17 which leaves you wit 5, hence the answer is 5 hours
33. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 75 and a standard deviation of 4. Estimate the percentage of scores that were (a) between 63 and 87. % (b) above 83. % (c) below 71. % (d) between 67 and 79. %
The mean and standard deviation of the scores are given below:
• Mean = 75
,• Standard deviation = 4
We make use of the z-score formula below:
\(z-\text{score}=\frac{X-\mu}{\sigma}\text{ where}\begin{cases}\mu=\text{Mean} \\ \sigma=\text{Standard Deviation}\end{cases}\)Part A (between 63 and 87)
First, we determine the z-scores.
\(\begin{gathered} z-score=\frac{63-75}{4}=-\frac{12}{4}=-3 \\ z-score=\frac{87-75}{4}=\frac{12}{4}=3 \\ \text{From the z-score table: }P(-3Therefore, the percentage of scores that were between 63 and 87 is 99.73%.Part B (Above 83)
\(\begin{gathered} z-score=\frac{83-75}{4}=\frac{8}{4}=2 \\ \text{From the z-score table: }P(x>2)=0.02275 \end{gathered}\)Therefore, the percentage of scores that were above 83 is 2.28%.
Part C (below 71)
\(\begin{gathered} z-\text{score}=\frac{71-75}{4}=-\frac{4}{4}=-1 \\ \text{From the z-score table: }P(x<-1)=0.15866 \end{gathered}\)Therefore, the percentage of scores that were below 71 is 15.87%.
Part D (between 67 and 79)
\(\begin{gathered} z-score=\frac{67-75}{4}=\frac{-8}{4}=-2 \\ z-score=\frac{79-75}{4}=\frac{4}{4}=1 \\ \text{From the z-score table: }P(-2Therefore, the percentage of scores that were between 67 and 79 is 81.86%.What does the slope of a line mean, and how can you find it?
PLS Give Me Brainliest!?
Answer:the slope of a line it the angle/slope that that line is at
Step-by-step explanation: slope times width
Which equation can be used to find the measure of angle LJK?
O sin(x) = 10/15
O sin(x) = 15/10
O cos(x) = 10/15
O cos(x)= 15/10
Answer:
cos(x)=10/15
Step-by-step explanation:
As cosine is Base/Hypotenues
cos(x)=JL/JK
= 10/15
MARK ME AS BRAINLISTThe equation used to find the measure of angle LJK is option C. cos(x) = 10/15.
What are Trigonometric Functions?Trigonometric functions are the functions which are represented as the ratio of the sides of a right angled triangle.
The three main trigonometric functions are sine, cosine and tangent function.
Sine function of an angle is the ratio of the opposite side to the hypotenuse of the triangle.
Cosine function of an angle is the ratio of the adjacent side to the hypotenuse of the triangle.
Here,
Hypotenuse of the triangle = KJ = 15 inches
LJ = 10 inches is the adjacent side with respect to the angle x.
We can use cosine function here.
cos (x) = LJ / KJ = 10/15
Hence the equation used is cos(x) = 10/15.
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How many numbers between 1 and 10000 have exaly 1 8 and 1 9.
Answer:
9811
Step-by-step explanation:
What is the formula for sin and cos?
The formula for sin and cos are opposite side/hypotenuse and adjacent side/hypotenuse respectively.
Sin and Cos formulae are based on the sides of the right-angled triangle. Along with the tan function, the fundamental trigonometric functions in trigonometry are sin and cos. In contrast to the cosine of an angle, which corresponds to the ratio of the adjacent side to the hypotenuse, the sine of an angle is the ratio of the opposing side to the hypotenuse.
Sine of an angle θ = opposite side/hypotenuse
Cosine of an angle θ = adjacent side/hypotenuse
The figure given in the attachment is a right angled triangle which shows opposite side, adjacent side and hypotenuse side with an angle θ which is specified.
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consider the standard brownian motion subject to constraint i.e., a process obtained from brownian motion by conditioning the brownian motion to hit b at time t. this results in a continuous path from (0,0) to (t,b)
Given that W(t) is a standard Brownian motion. The probability P(1 < W(1) < 2) is 0.136.
A Gaussian random process (W(t), t ∈[0,∞)) is said be a standard brownian motion if
1)W(0) = 0
2) W(t) has independent increments.
3) W(t) has continuous sample paths.
4) W(\(t_2\)) -W(\(t_1\)) ~ N(0, \(t_2-t_1\))
Given, W(\(t_2\)) -W(\(t_1\)) ~ N(0, \(t_2-t_1\))
\(W(1) -W(0) \ follows \ N(0, 1-0) = N(0,1)\)
Since, W(0) = 0
W(1) ~ N(0,1)
The probability P(1 < W(1) < 2) :
= P(1 < W(1) < 2)
= P(W(1) < 2) - P(W(1) < 1)
= Ф(2) - Ф(1)
(this is the symbol for cumulative distribution of normal distribution)
Using standard normal table,
= 0.977 - 0.841 = 0.136
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The complete question is given below:
Let W(t) be a standard Brownian motion. Find P(1 < W(1) < 2).