Answer:
x = y/ 4 + 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
at westville high school there are 315 seniors and 389 juniors. 65% of the seniors have parkign passes and 42% of teh juior have parking passes. the statistics teacher selects a srs of 30 seniors and a seperate srs of 30 juniors.
a. The shape of the sampling distribution is normal by the Central Limit Theorem.
b. The mean is 0.23.
c. The standard error is 0.125, which means that the sample proportions differ by around 0.125 from the mean of 0.23.
d. The probability is 0.2877 = 28.77%.
By the Central Limit Theorem, each sample has at least 10 successes and at least 10 failures, and the shape of the distribution is normal.
For each sample, the mean and the standard error are specified as follows:
Seniors : \(p_{s} = 0.65, s_{s} =\sqrt{\frac{0.65(0.35)}{30} } = 0.087\)Juniors : \(p_{j}= 0.42, s_{j} =\sqrt{\frac{0.42(0.58)}{30} } = 0.09\)Hence, the distribution of differences, the mean, and the standard error are specified as follows:
Mean= 0.65 - 0.42 = 0.23.Standard error: \(s =\sqrt{0.087^{2}+0.09^{2} } = 0.125\)Using the z-score formula, the probability that the difference is greater than 30 is 1 subtracted by the p-value of Z when X = 0.3, Therefore:
Z = (0.3 - 0.23)/0.125
Z = 0.56
Z = 0.56
1 - 0.7123 = 0.2877 = 28.77%.
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The complete question is:
At Westville High School there are 315 seniors and 389 juniors. 65% of the seniors have parking passes and 42% of the juniors have parking passes. The statistics teacher selects an SRS of 30 seniors and a separate SRS of 30 juniors. Let ^ps-^pj be the difference in the sample proportion of seniors and juniors that have parking passes.
a. What is the shape of the sampling distribution of ^ps-^pj? Why?
b. Find the mean of the sampling distribution.
c. Calculate and interpret the standard deviation of the sampling distribution.
d. What is the probability that the difference in sample proportions (senior-junior) of students with parking passes is greater than 30%?
find the surface area
The surface area of the given sphere is 764.15 square inches.
Given that, the sphere has diameter = 15.6 inches.
Here, radius = 15.6/2 = 7.8 inches
We know that, surface area of a sphere is 4πr².
Now, surface area = 4×3.14×7.8²
= 764.15 square inches
Therefore, the surface area of the given sphere is 764.15 square inches.
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from the top of the cliff 55m high, the angle of the depression of a boat is 26°. find the distance from the boat to the top of the cliff.
Answer:
\(d\approx 125\:m\)
Step-by-step explanation:
\(sin\left(26\right)=\frac{55}{d}\\\\d\approx 125\:m\)
Best Regards!
In right triangle ABC, AC = 4 and BC = 5. A new triangle DEC is formed by connecting the midpoints of AC and BC.
1. What is the area of triangle ABC?
square units
2. What is the area of triangle DEC?
square units
3. Does the scale factor for the side lengths apply to the area as well? (yes/no)
4. What is the scale factor for the area?
*Remember Area = 1/2 (base)*(height)
1. The area of triangle ABC = 10 units²
2. The area of triangle DEC = 2.5 units²
3. No
4. Scale factor = 2
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The figure is given in the question, as shown
As per the question, the required solution would be as:
1. the area of triangle ABC = 1/2 x 5 x 4 = 20/2 = 10 units²
2. the area of triangle DEC = 1/2 x (5/2) x (4/2) = 20/8 = 2.5 units²
3. No
4. scale factor = 5/(5/2) = 2
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The question seems to be incomplete the missing part has been attached below
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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A company CEO is choosing four different employees to promote to general manager. One person will be promoted each week. If the company has 18 eligible employees, how many ways can 4 employees be promoted to general manager the first, second, third, and fourth weeks?
In the first week, the second week, the third week and the fourth week, the 4 employees are promoted to the position of general manager in 73440 ways.
Permutation and combination:
Permutation is the act of arranging objects or numbers in order.
Composition is the selection of objects or numbers from a group of objects or collections, the order of the objects being unimportant.
According to the Question:
Arranging elements in a specific order is called permutation. Here, the components of the collection are organized in a linear or sequential fashion. For example, the permutation of the set A=1,6 is 2, which is 1,6,1. Unlike composition, where the order of the parts does not matter, permutation requires the elements to be in a specific order.
The four qualified employees out of the 18 available employees can be promoted by:
\(P\left \{ {{y=18} \atop {x=4}} \right. = \frac{18!}{18-4}\)
In the solution we have obtained,
the total number of ways = 73440
Therefore,
total number of disadvantageous methods is 73440.
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10/27 x (3/8 divided by 5/24) =
Evaluate the expression
I will crown if right any weird answers reported
Answer: 1/864 =0.00116
Step-by-step explanation: simplify 3/8
divide 3/8 by 5= 3/40
3/40 divided by 24 =1/720
10/27 X 1/320= 1/864
simplify 10/27 and get 1/864 as a fraction but in a decimal 0.00116
The value of the expression 0 /27 ×((3/8 )÷ (5/24)) using division of fractions is 2/3
What is the method for division of fractions ?For dividing two fractions we keep the first one as it is and replace the sign of division by multiplication and take the reciprocal of the second number .
For example if we want to divide (a/b) by (c/d)
Then we write its as (a/b) ÷(c/d) = (a/b) × (d/c)
For evaluating the expression 10 /27 ×((3/8 )/ (5/24))
First evaluate (3/8 divided by 5/24)
(3/8)÷(5/24) = (3/8)×(24/5) = (3 ×24)/(8×5) =9/5
Now,
10 /27 ×((3/8 )/ (5/24)) =( 10/27 )× (9/5) = (10×9)/(27×5) = 2/3
Therefore, the value of the expression 10/27 x (3/8 divided by 5/24) is 2/3.
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Tammy writes the equation -1 / 8 = -1/8. Is she correct? Explain.
Find the distance between the points (1.0) and (0.2)
YEH ITS WRONG SORRY DON'T REPORT ME!
3. Which of the following expressions is equivalent to (-3x^3y^4)?F.-27x^7y^8G.-81x^12y^6H.27x^7y^8J.81x^12y16
By raising the expression -3x^3y^4 to four and applying the properties of exponents we get:
\((-3x^3y^4)^4=(-3)^4(x^3)^4(y^4)^4=(-3)^4(x^{})^{4\times3}(y^{})^{4\times4}=81x^{12}y^{16}\)Then, the expression -3x^3y^4 is equivalent to 81x^12y16
Please help me on the picture above. I will give points and give five stars for correct answer.
Answer:
It's the 3rd one
Step-by-step explanation:
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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This table represents the relationship between the time in hours that Harriett bikes and the miles she travels.
What is the relationship between the time in hours that Harriett bikes and the miles she travels?
Enter your answer in the box to correctly complete the statement.
For every hour Harriett bikes, the distance she travels increases by
miles.
20 POINTS ASAP PLEASE!!!
I am in k12 and I am currently doing 3.14 Unit Test for math
Answer:
i think For every hour Harriett bikes, the distance she travels increases by 12 miles
1/2x(6x1x7)+11 show how to solve this problem
Answer:
32
Step-by-step explanation:
first multiply 6×1.
1/2×(6×7)+11
Then multiply 6×7
1/2×42+11
Third you multiply 1/2 and 42
1/2×42= 21
finally you add together 21+11
21+11= 32
Anna bought $4000of company stock, she sold 75% if it when the value doubled and the remainder at four times the purchase price, what is here total profit
Anna's total profit was $6000 + $16000 - $4000 = $14000.
How did Anna earn profit
Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.
Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.
Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.
Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
davey read 58 pages on saturday and p pages on
The value of p is 15
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day
Therefore everyday he reads 58+p pages per day
If he reads for 10 days and he reads a total 1408 pages then we have
In a week there is one Saturday
thus
9p+58=1408
9p=1350
p=15
Thus on the other days p is equal to 15 pages per day.
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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.
An economics professor conducts an experiment to determine if viewing his online video reviews improve the performance of his students on exams. He uses only economics students enrolled in his classes. The treatment group will watch the videos prior to the first exam, and the control group will not watch the videos. Then the scores of the first exam will be compared.
Which of the following variables’ effects could be mitigated by the random assignments? Check all that apply.
Intelligence
Study habits
Professor
Course textbook
Work schedule
Answer:
1,2,5
A,B,E
Intelligence
Study habits
Work schedule
ED2021
Intelligence and study habits could be mitigated by random assignments.
Options A and B are the correct answer.
What is a random assignment?Random assignment refers to the process of randomly assigning participants to either the treatment or control group in an experiment.
We have,
Random assignment is done to minimize the effect of extraneous variables, such as intelligence and study habits, that could potentially affect the results of the experiment.
By randomly assigning participants to either the treatment or control group, the differences between the two groups are assumed to be due to chance alone.
Variables such as the professor, course textbook, and work schedule are not affected by random assignments.
These variables are considered to be controlled variables that are held constant across both the treatment and control groups.
Thus,
Intelligence and study habits could be mitigated by random assignments.
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B
a
A
b
Find the missing side c if Angle B -45 and side a=13
Round your answer to the nearest hundredth if necessary.
What is the value of m?
The "M" in M-value stands for "Maximum." For a given ambient pressure, an M-value is defined as the maximum value of inert gas pressure (absolute) that a hypothetical "tissue" compartment can "tolerate" without presenting overt symptoms of decompression sickness (DCS).
Hope this helps you if it does pls mark me brainiest
Convert this vector equation to cartesian form using the vector product.
r = i - 5j + 4k + λ(3i + j - 2k) + µ(-i + 2j + k)
Answer:
\(5x-y+7z-38=0\)
or
\(5x-y+7z=38\)
Step-by-step explanation:
Given vector equation:
\(\textbf{r} = \textbf{i} - 5\textbf{j} + 4\textbf{k} + \lambda(3\textbf{i} + \textbf{j} - 2\textbf{k}) + \mu(-\textbf{i} + 2\textbf{j} + \textbf{k})\)
The vector 3i + j - 2k is perpendicular to n.
The vector -i + 2j + k is perpendicular to n.
\(\textsf{So}\;\;\textbf{n}=\left|\begin{array}{ccc}\textbf{i}&\textbf{j}&\textbf{k}\\3&1&-2\\-1&2&1\end{array}\right|\)
\(=\textbf{i}\left|\begin{array}{rr}1&-2\\2&1\end{array}\right|-\textbf{j}\left|\begin{array}{rr}3&-2\\-1&1\end{array}\right|+\textbf{k}\left|\begin{array}{rr}3&1\\-1&2\end{array}\right|\)
\(=\textbf{i}(1 \cdot 1 - (-2) \cdot 2)-\textbf{j}(3 \cdot 1-(-2) \cdot (-1))+\textbf{k}(3 \cdot 2-1 \cdot (-1))\)
\(=\textbf{i}(1 +4)-\textbf{j}(3-2)+\textbf{k}(6+1)\)
\(=5\textbf{i}-\textbf{j}+7\textbf{k}\)
So the equation of the plane written in Cartesian form is:
\(5x-y+7z+d=0\)
Substituting (1, -5, 4) gives:
\(5(1)-(-5)+7(4)+d=0\)
\(5+5+28+d=0\)
\(38+d=0\)
\(d=-38\)
Therefore, the given vector equation in Cartesian form is:
\(5x-y+7z-38=0\)
or
\(5x-y+7z=38\)
how many jewelry boxes 10 cm by 6 cm by 4 cm can be packed into a box 50 dm long 4 dm wide and 3 dm high? solution pls
10 × 6 × 4
= 60 × 4
= 240 cm³
50 × 4 × 3
= 200 × 3
= 600 cm³
= 600.000 dm³
600.000 ÷ 240
= 2.500
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.
Plzzzzzz help
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
Use point-slope form to write the equation of a line that passes through the point
(12, 10) with slope 1/3.
Answer:
y - 1/3x - 10 + 4 = 0
Step-by-step explanation:
What we know:
x = 12
y = 10
slope (m) = 1/3
y - y1 = m(x - x1) Point-slope form
Substitute in the values we have
y - 10 = 1/3(x - 12)
Bring all the values to one side
y - 10 - 1/3(x - 12) = 0
y - 1/3x - 10 + 4 = 0
Find the perimeter and area of the rectangle with vertices (5, 6), (5, -3), (2, -3), and (2,
Note that you can draw in the Scratch Area below, but it is not part of the answer.
The perimeter and area of the rectangle with given vertices are 24 units and the area is 27 square units.
To find the perimeter and area of the rectangle with the given vertices, we can use the distance formula and the formula for rectangle area.
First, let's find the lengths of the sides using the distance formula:
Side AB: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(5 - 5)² + (-3 - 6)²]
= √[0² + (-9)²]
= √81
= 9
Side BC: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 5)² + (-3 - (-3))²]
= √[-3² + 0²]
= √9
= 3
Now, we can calculate the perimeter by adding the lengths of all four sides:
Perimeter = AB + BC + CD + DA
= 9 + 3 + 9 + 3
= 24
To find the area of the rectangle, we can use the formula:
Area = Length × Width
The length of the rectangle is AB = 9 and the width is BC = 3.
Area = 9 × 3
= 27
Therefore, the perimeter of the rectangle is 24 units and the area is 27 square units.
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The following stem-and-leaf plot represents the distribution of weights for a group of people. Stem Leaves 9 1 1 3 6 7 10 4 6 7 7 8 11 2 2 2 3 4 4 4 12 1 2 6 7 7 13 2 5 5 14 1 1 2 4 4 5 15 1 1 1 2 5 6 7 8 16 0 1 2 6 8 17 1 5 6 7 Key: 9|1=91 pounds Step 1 of 3 : What is the weight of the lightest person in the group?
The weight of the lightest person in the group = 90 pounds
The diagram attached contains the stem-and-leaves plot referred to in the question.
The stem-and-leaves plot represents the weight distribution for a group of people.
The weight of each person in the group can be determined from the plot
The lightest person in the distribution can be determined by identifying the smallest leaf under the smallest stem
The smallest stem = 9
The smallest leaf under stem 9 = 0
Therefore, the lightest person in the group weighs 90 pounds
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What is the circumference of the circle? (Use 3.14 for Pi. Round to the nearest tenth.)
A circle with radius 20 feet.
Recall the formula C = 2 pi r.
Answer:
C≈125.66
Step-by-step explanation:
125.6 units
We can use the equation for Circumference, C = 2r(pi)
Plug in the values: C = 2(20)(3.14) = 125.6
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
Answer:show the table so I can help
Step-by-step explanation:
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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