The mean tests scores with standard deviations of four English classes are given in the table. A 3-column table with 4 rows. The first column is labeled class with entries Mrs. Jones, Mrs. Rjio, Mr. Phan, Mrs. Scott. The second column is labeled mean with entries 89, 82, 73, 90. The third column is labeled standard deviation with entries 1. 9, 1. 4, 3. 4, 6. 1. Which statement is most likely to be true? The scores from Mrs. Jones’s class are the closest to the class mean. The scores from Mrs. Rijo’s class are the closest to the class mean. The scores from Mr. Phan’s class are the closest to the class mean. The scores from Mrs. Scott’s class are the closest to the class mean.

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Solve x−4y=−7 for x...

\(x-4y=-7\\x=4y-7\)

Substitute 4y−7 for x in −x+2y=3...

\(-x+2y=3\\-(4y-7)+2y=3\\-4y+7+2y=3\\-2y+7=3\\-2y=-4\\y=2\)

Substitute 2 for y in x=4y−7...

\(x=4y-7\\x=4(2)-7\\x=8-7\\x=1\)

So the solution of these equations is (1,2).

Answer:

\(12s-120\)

Step-by-step explanation:

Given the following question:

\(12(s-10)\)

To rewrite the expression using the distributive property we have to remember the rule that applies to all expressions, we have to multiply all the terms inside the paratheses by the terms outside of the paratheses.

\(12(s-10)\)
\(12\timess=12s\)
\(12s-10\times12\)
\(10\times12=120\)
\(12s-120\)

Your answer is "12s - 120."

Hope this helps.

Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

41.803 is 42 rounded to the nearest whole number because when you go past .5 you round to the nearest highest number, but when your below .5 then you round to the nearest lowest number.

Answer: 41.803 rounded to the nearest whole number would be 42. Whenever you go over .5 you round to the nearest highest number. For example, 41.6 would also be rounded to 42.

Yes, a test of statistical significance be conducted before or after computing d and interpreting its value.

The p-value is an important phrase for hypothesis testing in the context of statistical significance of data.

The p-value is defined as a function of observed sample outcomes that is used to evaluate statistical hypotheses. Before running the test, a threshold value must be chosen.

The significance is a figure that represents the probability that the outcome of a study occurred entirely by chance. The statistical significance can be low or high. It does not always imply practical significance. When a researcher does not use language carefully in their experiment report, the significance may be misconstrued.

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Answer:

55

Step-by-step explanation:

Answer:

Fractional Expression for how much each person pays = (64.04/4)

Each person pays $16.01.

Step-by-step explanation:

Complete Question

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.

The total of the bill is $64.04 and there are 4 people splitting the bill.

Solution

Total amount to be shared equally by 4 persons = $64.04

Fractional Expression for how much each person pays = (64.04/4)

Long division method to do this division.

     16.01  

4 | 64.04

      4  

    24

    24

      00

    0

    04

      4

    0

Each person pays $16.01.

Hope this Helps!!!

Hello and Good Morning/Afternoon

Let's take this problem step by step.

        \(5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6\)

What did we do in this problem

                  \(5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\\)

Answer: x = 6

Hope that helps!

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Solution :-

⇒ 5 = 1/3 (5x - 15)

⇒ 5 × 3 = 1 (5x - 15)

⇒ 15 = 1 (5x - 15)

⇒ 15 = 1 × (5x - 15)

⇒ 15 = 5x - 15

⇒ 5x = 15 + 15

⇒ 5x = 30

⇒ x = 30 / 5

⇒ x = 6

Answer:

x= 8

Step-by-step explanation:

All interior angles of a triangle equal 180 degrees.

Write it out as an equation:

180= 8x-4 + 6x+2 + 9x-2

Simplify:

180= 23x-4

Add four to both sides.

184= 23x

Then divide both sides by 23 and get 8 = x

Answer:

\(we \: know \: that \: \\ sumof \: ngles \: of \: a \: triangle = 180 \\ 8x - 4 + 6x + 2 + 9x - 2 = 180 \\ 8x + 6x + 9x - 4 + 2 - 2 = 180 \\ 23x - 4 = 180 \\ 23x = 184 \\ x = 184 \div 23 \\ x = 8\)

6 weeks from now, you will have $215 in your bank account

The given parameters are:

b = 60 + (20+6)w

When the account balance is $215, we have

60 + (20+6)w = 215

Subtract 60 from both sides

(20+6)w = 155

This gives

26w = 155

Divide both sides by 26

w = 5.96

Approximate

w = 6

Hence, 6 weeks from now, you will have $215 in your bank account

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Because the scaling factor is a whole number, which is 3, the enlargement of the dashed triangle is a dilatation.

Recall:

Thus:

For the dashed triangle, measure the separation between the points (2, -2) and (0, -2).

Using the coordinates (6, -6) and (0, -6) for the solid triangle, calculate the equivalent distance:

Scale factor = 6/2 = 3

The dilation is an enlargement because the scale factor is a whole number.

In conclusion, the enlarged dashed triangle indicates a dilatation because the scale factor, which is 3, is a whole number.

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Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Answer:

7/4 and 3

Step-by-step explanation:

correct on edge 2020

Answer: 7/4 & 3

Step-by-step explanation:

Answer:

(-5,2)

Step-by-step explanation:

Answer:

x ≥ −5

Step-by-step explanation:

I'm pretty sure this is the answer.

if it isn't, I'm sorry for disappointing you.

The ellipse in a scatterplot becomes thinner, the correlation coefficient (r) between the variables x and y will increase.

The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to 1, where values close to -1 or 1 indicate a strong linear relationship, and values close to 0 indicate a weak or no linear relationship.

When the scatterplot forms an ellipse, it indicates that there is some degree of correlation between the variables x and y.

If the ellipse is elongated, it suggests that the correlation is weak, while if the ellipse is more circular, it suggests that the correlation is stronger.

As the ellipse becomes thinner, it means that the spread of the data along one of the variables is becoming smaller, while the spread along the other variable is remaining the same.

This indicates that there is a stronger linear relationship between the variables, and as a result, the correlation coefficient (r) will increase.

Therefore, we can conclude that as the ellipse becomes thinner, the correlation coefficient (r) between the variables x and y will increase.

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The number of hours Bruce spent doing homework last week if he spent 1/5 of Darell's time is 1 hour.

Time Darell spent doing homework last week = 5 hours

Time Bruce spent doing homework last week = 1/5 of Darell's time

= 1/5 of 5

= 1/5 × 5

= (1 × 5) / (5 × 1)

= 5/5

= 1 hour

In conclusion, given the fraction of time Bruce spent doing homework last week, that means, he spent 1 hour doing homework.

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4th option is correct.

look at the picture i sent

The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

D

Step-by-step explanation:

You just have to expand and you'll get the answer.

To find P(A | B),  first we use the formula P(A | B) = P(A ∩ B) / P(B).To find P(B | A), we use the formula P(B | A) = P(A ∩ B) / P(A).  To determine if A and B are independent, we need to compare P(A ∩ B) with P(A)P(B). If P(A ∩ B) = P(A)P(B), then A and B are independent. If P(A ∩ B) ≠ P(A)P(B), then A and B are dependent.

a. Plugging in the given values, we have:
P(A | B) = 0.20 / 0.50 = 0.40
So, P(A | B) = 0.4000 (to 4 decimals).

b. Plugging in the given values, we have:
P(B | A) = 0.20 / 0.50 = 0.40
So, P(B | A) = 0.4000 (to 4 decimals).

c. Given values are:
P(A) = 0.50
P(B) = 0.50
P(A ∩ B) = 0.20
Calculating P(A) * P(B):
0.50 * 0.50 = 0.25

Since P(A ∩ B) ≠ P(A) * P(B), events A and B are not independent. The occurrence of one event affects the probability of the other event occurring.

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Answer:

Sylvia sold 6 bottles of water and Sam sold 18 bottles of water if they ended up with the same number of bottles left

Step-by-step explanation:

Sylvia

Total bottles bought = 24

Total bottles sold = x

Bottles remaining = Total bottles bought - Total bottles sold

= 24 - x

Sam

Total bottles bought = 36

Total bottles sold = 3x

Bottles remaining = Total bottles bought - Total bottles sold

= 36 - 3x

Equate both equations

24 - x = 36 - 3x

Collect like terms

24 - 36 = -3x + x

- 12 = -2x

Divide both sides by -2

x = -12 / -2

= 6

x = 6

Sylvia Total bottles sold = x

= 6

Sam Total bottles sold = 3x

= 3(6)

= 18

Sylvia sold 6 bottles of water and Sam sold 18 bottles of water if they ended up with the same number of bottles left

The values of the expression after each property are as follows:

For the distributive property, the outer term multiplies each of the inner terms of the expression.

In this problem, the expression is:

9(w + 5).

After the distributive property, the expression is represented as follows:

9 x w + 9 x 5 = 9w + 45.

(the outer term 9 multiplies each of the inner terms, of w and 5, and then they are added, due to the plus sign).

The commutative property of addition states that the order of the terms of the addition is not important, hence:

9w + 45 = 45 + 9w.

(the two terms just exchanged places).

The problems asks for the algebraic expression after each property is applied.

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The measure of the given arc HJK is 186°.

Given measurement of the angle G = (4y - 11)°

The measurement of the angle J = (3y + 9)°

The measurement of the angle K = (x + 21)°

The measurement of the angle H = 2x°

From the below attached pic rule, in the given diagram angle J + angle G = 180°

So, J + G = 180°

= (4y - 11)° +  (3y + 9)° = 180°

= 7y -2 = 180°

= 7y = 182°

y = 182°/7 = 26°

By substituting y value which is "26°" in the angle G and J we can obtain their measurements as angle G = 93° and angle J = 87°.

Similarly, to find the value of x,

H + K = 180°

2x + (x + 21)° = 180°

3x + 21° = 180°

3x = 159°

x = 159°/3 = 53°.

By substituting x value which is "53°" in the angle H and K we can obtain their measurements as angle H = 106° and angle K = 74°

To find the measurement of arc, from the second attached image we can know that the angle of G is opposite to arc HJK. So, the relation is as follows,

measurement of arc HJK = 2 * angle of G

HJK = 2 * 93°

HJK = 186°.

From the above solution, we can conclude that the measurement of arc HJK is 186°

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The Pearson correlation coefficient of the data is -0.6619

The Pearson correlation coefficient (PCC, for short) is a measure of the linear correlation between two variables. It is a value between -1 and 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The PCC is calculated as the covariance of the two variables divided by the product of their standard deviations. It is widely used to measure the strength of a linear association between two continuous variables.

From the data given;

X Values

∑ = 28

Mean = 4

∑(X - Mx)2 = SSx = 28

Y Values

∑ = 37

Mean = 5.286

∑(Y - My)2 = SSy = 59.429

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = -27

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -27 / √((28)(59.429)) = -0.6619

r = -0.6619

This is a moderate negative correlation, which means there is a tendency for high X variable scores to go with low Y variable scores (and vice versa).

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Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

Given:

The inequality is \(y \leq |3x - 6| + 2\).

Alisha solved the given inequality and got

\(y \leq 3x -4\) for \(x \geq 2\) and \(y \leq -3x - 4\) for \(x < 2\).

To find:

The Alisha's error, and  the correct answer.

Solution:

We have,

\(y\leq |3x-6|+2\)

For \(x \geq 2, |3x-6|=3x-6\). So,

\(y\leq 3x-6+2\)

\(y\leq 3x-4\)

For \(x < 2, |3x-6|=-(3x-6)\). So,

\(y\leq -(3x-6)+2\)

\(y\leq -3x+6+2\)

\(y\leq -3x+8\)

Alisha's second inequality is wrong because she did not distribute the negative with 6.

Therefore, the correct answer is

\(y \leq 3x -4\) for \(x \geq 2\) and \(y \leq -3x +8\) for \(x < 2\).

The interest rate that yields such payments is 9.57%.

Deposit = $1000

Payment at the end of 3 years = $500

Payment at the end of 5 years = $1500

Now, we need to calculate the interest rate that yields such payments.

First, we need to find out the interest earned on the deposit made for 3 years.

I3 = $500 - $1000

I3 = -$500

Since the interest is negative, we know that the interest is not earned on the deposit. So, we need to calculate the interest rate on which the future value of $1000 will become $500 in 3 years.

I3 = $500 - $1000 = -$500

FV3 = $1000I/Y = ?

N = 3

PMT = 0

PV = -$1000

FV = $500

Using the formula,

I/Y = 0.1961

i.e., 19.61%

Therefore, the interest rate on which the future value of $1000 will become $500 in 3 years is 19.61%.

Next, we need to calculate the interest earned on the deposit made for 5 years.

I5 = $1500 - $1000I5 = $500

Now, we need to calculate the interest rate on which the future value of $1000 will become $1500 in 5 years.

I5 = $1500 - $1000 = $500

FV5 = $1000I/Y = ?

N = 5

PMT = 0PV = -$1000

FV = $1500

Using the formula,

I/Y = 0.0957i.e., 9.57%

Therefore, the interest rate that yields the payments is 9.57%.

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Answer:

  A

Step-by-step explanation:

You want to select the scatter plot with strong positive correlation.

Correlation is a measure of how well one variable's values track the values of another variable. Perfectly correlated variables will have a scatter plot that is a straight line. The sign of the correlation (positive, negative) matches the sign of the slope of the line.

The less correlated values are, the more their scatter plot looks like a random placement of points. When there is no correlation at all, knowing the value of one of the variables gives no clue about the value of the other one.

Computed values of correlation range from -1 to +1.

When the plot begins to resemble a line with positive slope, the variables plotted in the scatter plot have strong positive correlation. That is shown in the attached scatter plot.