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4 years ago

Round to the nearest hundreds place Show your work 4x = 7 - 8x - 27

Mathematics

1 answer:

faltersainse [42]4 years ago

5 0

Answer:

x = 5

Step-by-step explanation:

4x = 7 - 8x - 27

1) Combine like terms (7 and -27). So, 7 + (-27) = -20.

4x = 8x - 20

2) Subtract 8x from both sides of the equation. So, 4x - 8x = -4x.

-4x = -20

3) Divide both sides by -4. So, -20 / -4 = 5.

x = 5

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There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0

3 years ago

3 integers less than 25 range of 10 mean of 13

I am Lyosha [343]

Answer:

8, 13, 18

Step-by-step explanation:

If we want the mean to be 13, and there are 3 integers, that means the sum of all 3 integers must be 39. I started at 13 and counted 5 up and 5 down, which already makes sure of the range and the mean is 13 (since it's balanced with 13 being the middle), therefore, 13+5 is 18, 13-5=8.

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3 years ago

Assume that X has a normal distribution, and find the indicated probability.

GrogVix [38]

Answer: 0.6827

Step-by-step explanation:

I believe it is 0.6827

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3 years ago

The variable z is inversely proportional to x. When x is 6, z has the value 0.5. What is the value of z when x= 14?

Lilit [14]

Z is inversely proportional to X is the same as
z is directly proportional to 1/X
which can be written like this:-
y=k/X
________
0.5=k/6
0.5*6=k/6*6
k=3 ;
________
z = 3/14
Z = 0.2

7 0

3 years ago

0.79 x 3.7 =<br> please explain your process

mart [117]

This question is super easy.

$0.79*3.7$

$=2.923$

Hope this helps!

Thanks!

-Charlie

3 0

3 years ago