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In-s [12.5K]
3 years ago
11

Find the measurement

Mathematics
1 answer:
xenn [34]3 years ago
6 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

6z + 7  = 8z - 9

8z - 9 = 6z + 7

Add sides 9

8z - 9 + 9 = 6z + 7 + 9

8z = 6z + 16

Subtract sides 6z

- 6z + 8z =  - 6z + 6z + 16

2z = 16

Divide sides by 2

\frac{2z}{2}  =  \frac{16}{2}  \\

z = 8

Thus ;

NP = 8z - 9

NP = 8(8) - 9

NP = 64 - 9

NP = 64 - 4 - 5

NP = 60 - 5

NP = 55

Done...

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In a family, each brother has as many sisters as broth, but
irina [24]

Answer: 4 brothers and 3 sisters for a total of 7 siblings

Step-by-step explanation:

Let No. of boys = x

Let No. of girls = y

<u>Each boy has as many brothers as sisters</u>

Hence, (x - 1) = y

Rearranging we get,

x - y = 1 ……….(1)

<u>Now, each girl has twice as many brothers as that of sisters</u>

Hence, 2 * (y - 1) = x

Solving the bracket we get, 2y - 2 = x

Rearranging we get,

-x + 2y = 2 ……….(2)

Adding (1) and (2) using the elimination method, we get

x - y = 1

-x + 2y = 2

<u>y = 3</u>

Substituting value of Y in equation (1),

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Solving this we get,

x = 4

Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7

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2 years ago
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2 years ago
A large university is interested in the outcome of a course standardization process. They have taken a random sample of 100 stud
quester [9]

Answer:

Step-by-step explanation:

a)

Number of sample, n = 100

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q = 1 - p = 1 - 0.78

q = 0.22

For a confidence level of 90%, the corresponding z value is 1.645.

The formula for determining the error bound for the proportion is

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= 1.645 ×√(0.78 × 0.22)/100

= 1.645 × 0.0414 = 0.068

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The lower boundary of the population proportion is

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Therefore,

= 1.96 ×√(0.78 × 0.22)/100

= 1.96 × 0.0414 = 0.081

The upper boundary of the population proportion is

0.78 + 0.081 = 0.86

The lower boundary of the population proportion is

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