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oksian1 [2.3K]
3 years ago
11

A rectangle is 32m by 8m is similar to a rectangle 4m by x m. Find the 2 possible values of x .

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0
<h3>Answers:</h3><h3>x = 1 or x = 16</h3>

======================================

Work Shown:

Draw out a rectangle that is 32 units wide horizontally and 8 units tall vertically.

Then draw out another rectangle that is 4 meters wide horizontally and x meters tall vertically.

The horizontal and vertical sides pair up to form these fractions: 32/4 and 8/x

Set the fractions equal to one another. Solve for x

32/4 = 8/x

32x = 8*4 ... cross multiply

32x = 32  

x = 32/32 ... divide both sides by 32

x = 1

-----------------------

Somewhere else on your paper, draw the same 32 by 8 rectangle to make 32 the horizontal component

Next to this rectangle, draw a rectangle that has x as the horizontal part and 4 as the vertical. Note the swap here.

We now have this equation to solve for

32/x = 8/4

once again, note the swap

Let's solve for x

32/x = 8/4

32*4 = 8*x

128 = 8x

8x = 128

x = 128/8

x = 16

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Answer:

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Step-by-step explanation:

The question said x is ten

so 7x means 7*10

93x means 93×10

divided by 3.2x which means 3.2x which is 3.2×10

when u write it in an equation format it will look like this 70+930÷32

Ur answer should look like this 2976.25

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2 years ago
Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus U
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Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

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Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

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The sample proportion \hat P = \dfrac{x}{n}

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= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

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The P-value = P(Z > 2.165)

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Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

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