Hannah graphs a right triangle as shown, and then she applies the translation (x+2, y-4). What is the length of the horizontal base of the image?

Complete question is;

On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was p^_B = 0.70 and the proportion of workers from Company C who purchased coffee was p^_C = 0.75.

What is the correct unit of measurement for the mean of the sampling distribution p^_B - p^_C?

A) Days

B) Dollars

C) Companies

D) Workers

E) There are no units associated with the mean of the sampling distribution

Answer:

E) There are no units associated with the mean of the sampling distribution

Step-by-step explanation:

We are given;

Population proportion for workers from Company B who purchase a coffee from the company cafeteria as 0.62

Population proportion for workers from Company C who purchase a coffee from the company cafeteria as 0.71

Now, we were told that a random sample of 40 each were selected from both company B & C and the sample proportion were;

p^_B = 0.70 and p^_C = 0.75

Now, this proportions don't have any units as it is based on a ratio of the number of people that purchased coffee to the number of people surveyed.

Thus we can conclude that p^_B - p^_C will not have any units associated with it.

The possible outcomes of the difference in proportions of the two samples

based on on the individual proportions are not associated with a unit.

Reasons:

The given parameters are;

The proportion of workers of Company B who purchase coffee from the

Company B workers that purchase coffee from the cafeteria = 0.62

Company A workers that purchase coffee from the cafeteria = 0.71

Number of workers in the sample from Company B = 40

Number of workers in the sample from Company A = 40

Proportion of Company B workers who purchase coffee, [tex]\hat p_B[/tex] = 0.71

Proportion of Company C workers who purchase coffee, [tex]\hat p_C[/tex] = 0.75

Required:

The unit of the mean of the sampling distribution of [tex]\mathbf{\hat p_B - \hat p_C}[/tex]

Solution:

The proportion of the workers that purchase coffee is given by the ratio of the number of workers that purchase coffee to the number of workers in the sample.

Therefore;

[tex]\displaystyle \hat p = \mathbf{\frac{Coffee \ buying \ workers}{Total \ number \ of \ workers}}[/tex]

Given that the unit of the numerator and denominator are both workers,

that divide out, we have that the [tex]\mathbf{\hat p}[/tex], [tex]\mathbf{\hat p_B}[/tex], [tex]\mathbf{\hat p_C}[/tex] and therefore [tex]\hat p_B - \hat p_C[/tex] are not

associated with a unit.

Therefore;

The correct option is; E. There are no units associated with the mean of the sampling distribution.

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Answer:

[tex] - 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428[/tex]

The expression equivalent to 5(3a+4b) is option (B) 15a+20b

In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.

Given,

5(3a+4b)

Apply distributive property

5(3a+4b) = 15a + 20b

Hence, the expression equivalent to 5(3a+4b) is option (B) 15a+20b

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Answer:

6.79

Step-by-step explanation:

First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.

7 x 0.03 = 0.21

Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.

7 - 0.21 = 6.79

Answer:

Percentage decrease = 7 × 3%

7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%

Given;

The figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right angle triangle,

[tex]\cos (45^\circ)=\dfrac{7}{x}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{7}{x}[/tex]     [tex][\because \cos (45^\circ)=\dfrac{1}{\sqrt{2}}][/tex]

On cross multiplication, we get

[tex]1\times x=7\times \sqrt{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Therefore, the value of x is [tex]7\sqrt{2}[/tex] units.

Answer:

B. (3,2)

Step-by-step explanation:

Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).

Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).

See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!

I like to work with the slope-intercept form of the line:

x=4y-8 �> y = (1/4)x + 2 (1)

12x+y=11 �> y = -12x + 11 (2)

At the point where they intersect the two y values must be equal, so set eq(1) = eq(2):

(1/4)x + 2 = -12x + 11

( (1/4) + (48/4))x = 9

(49/4)x = 9

Ans: x = 36/49

Check: Plug in x=36/49 to eq(1) and eq(2) to make sure they produce identical y values:

(1) y = (1/4)(36/49) + 2 = (9/49) + (98/49) = 107/49

(2) y = -12(36/49) + 11 = (-432/49) + (539/49) = 107/49 (they match)

By using substitution method,

The x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is  [tex]\frac{36}{49}[/tex].

"The substitution method is one of the algebraic methods to solve linear equations. It involves substituting the value of any one of the variables from one equation to the other equation."

We have the lines

x=4y−8 ..........................(1)

12x+y=11 .........................(2)

By using substitution method

Substitute x = 4y - 8 in equation (2)

⇒ 12(4y-8) + y = 11

⇒ 48y - 96 + y = 11

⇒ 49y = 11 + 96

⇒ y = [tex]\frac{107}{49}[/tex]

Calculating the x - coordinate by substituting y value in equation (1)

x=4y−8

⇒ x = [tex]4(\frac{107}{49} )-8[/tex]

⇒ x = [tex]\frac{428-392}{49}[/tex]

⇒ x = [tex]\frac{36}{49}[/tex]

Hence, the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is  [tex]\frac{36}{49}[/tex].

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Answer:

(3,7) (2,-1)

(y1,Y2K)(z1,z2)

(y2-y1)(z2-z1)

(7_3)(-1-2)

(4)(-3)

=-12

Answer:

15x6

Step-by-step explanation:

do 15x6 and what that is, is the answer

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

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Answer:

The answer is 6

Step-by-step explanation:

ABC is 72, 66, 42 and DEF is 12, 11, 7

simply divide the largest shape measurements by the smaller one.

72÷12

66÷11

42÷7

you get 6 in all of them, this technique may not work all the time.

Answer:

B and A

.......................

Answer:

M' and N'O'

Step-by-step explanation:

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

Answer:

6-18y-9x

Step-by-step explanation:

Answer:

It won't let me see the picture

Step-by-step explanation:

Answer:

144 cm

Step-by-step explanation:

Answer:

i d k

Step-by-step explanation:

what is f?

Answer:

48

Step-by-step explanation:

1 ft = 12 in

4 x 12 = 48

Answer:

i really don’t know

Step-by-step explanation:

that’s an interesting question

Answer:

i dont know but can we do rp on pad.let?

Step-by-step explanation:

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

Answer:The door mesures 96 inches in length and 36 inches in width

if u need a explenation you can ask me

Answer:

71.58

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

not sure how to explain it's kinda hard sorry

Answer:

Yes

Step-by-step explanation:

"Answer" and Explanation:

All I can tell is that x=60, and that the angle is also 60, since it is and equalateral triangle.  I can't see anything about sides lengths nor can I tell what 'side' means, so yeah that's all I can say.  Sorry that probably didn't help at all.  

Answer:

95?

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. there is 4 zeros in 10 4, the product is 10,000

2. 100,000

3. 100

Answer:

its 100000

Step-by-step explanation:

10×10=100×10=1000×10=10000×10=100000

Answer:

142,200,000

Step-by-step explanation:

Used Calculator

Answer:

142200000

Step-by-step explanation:

It's a really long answer

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

Answer:

21.72% is correct answer

Answer:

18.4

Step-by-step explanation: