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Annette [7]
3 years ago
7

- The two rectangles shown have equal areas. Find the value of x.

Mathematics
1 answer:
Anna [14]3 years ago
4 0
X= 36 I think

Hope this helps
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Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
True [87]

Answer:

WE reject the Null and conclude that one of the drug is more effective than the other.

Step-by-step explanation:

Given :

Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5

Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3

This is a matched pair sample :

The hypothesis :

H0 : μd = 0

H1 : μd ≠ 0

Hence, we intun the difference between the two groups of value :

Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8

The test statistic :

dbar ÷ (Sd/√n)

dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97

Standard deviation of difference, Sd = 4.51

Test statistic :

-4.97 ÷ (4.51/√10)

Test statistic = - 3.485

The sample size, n = 10

df = n - 1 ; 10 - 1 = 9

Critical value (0.10, 9) = 1.833

If Test statistic > |Critical value |

Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other

5 0
3 years ago
here are 1515 people in an office with 55 different phone lines. If all the lines begin to ring at once, how many groups of 55 p
Mashcka [7]

Answer:

360,360 groups of 5 people.

Step-by-step explanation:

We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

There are 11 people to answer 5th call.

So 5 lines can be answered in 15\times 14\times 13\times 12\times 11=360,360 ways.

Therefore, 360,360 groups of 5 people can answer these lines.

6 0
3 years ago
A rectangular prism has a length of 3 inches, a width of 5 inches, and a height of 7 inches.
Leni [432]

Answer:

105³

Step-by-step explanation:

3x5=15

15x7=105

105 is your answer.

3 0
2 years ago
Is (6, 2) a solution to this system of equations? x + 4y = 14 2x + 4y = 20
uranmaximum [27]
No it’s not because (6,2) would be a no solution so no
3 0
3 years ago
Multi step equation that equal 27 when solved
Ksenya-84 [330]
Sample Equation:  3x - 3 = 27

Multiple step:

3x    -  3  =    27
 <u>       + 3       +3</u>  Step1. Remove the -3 by adding 3 to both sides
3x            =   30
<u>÷3                ÷ 3</u>  Step2. Remove the multiplicand 3 by dividing both sides by 3
x              =  10

To check: substitute x by its value

3x - 3 = 27
3(10) - 3 = 27
30 - 3 = 27
27 = 27

6 0
3 years ago
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