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2 years ago

Pls help me with this

Mathematics

1 answer:

zaharov [31]2 years ago

7 0

Answer:

100

Step-by-step explanation:

The angles are on the same side of the transversal. They are corresponding angles, so they are equal. Put algebraically

4a = 2a + 50 Subtract 2a from both sides.

4a-2a = 2a-2a + 50 Combine

2a = 50 Divide by 2

2a/2 = 50/2

a = 25

<VYX = 4*a = 4*25 = 100

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Stephine puts 30 cubs in a box. The cubes are 1/2 inch on each side. The box holds 2 layers with 15 cubes in each layer.

mixas84 [53]

Answer:

3 3/4 cubic inches,

Step-by-step explanation:

Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cubes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches.

✓From the question we are informed that Stephanie puts 30 cubes in a box. The cubes dimension are 0.5 inch on each of the sides.

✓ Since the sides is 0.5inch each, the volume is (0.5×0.5×0.5) The volume of one cube = (0.5 inch)³ = 0.125 inch³

✓ we can calculate the Volume of 30 cubes as

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3 years ago

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3 years ago

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Answer:

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3 years ago

Read 2 more answers

A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation o

olasank [31]

Answer:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

Step-by-step explanation:

Information given

$\bar X=9.41$ represent the sample mean

$s=0.24$ represent the sample standard deviation

$n=81$ sample size

$\mu_o =9.33$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:

Null hypothesis: $\mu \leq 9.33$

Alternative hypothesis: $\mu > 9.33$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3$

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3 years ago