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3 years ago

What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15? 4 8 80 200

2 answers:

6 0

Start with 1/5x – 2/3y = 30. Let y = 15: (1/5)x – (2/3)(15) = 30

Then (1/5)x - 10 = 30, and (1/5)x = 40, and so x = 200 (answer)

Hoochie [10]3 years ago

6 0

1/5x - 2/3y = 30; y = 15

1/5x - 2/3(15) = 30

1/5x - 30/3 = 30

1/5x - 10 = 30

1/5x = 30 + 10

1/5x = 40

x = 40 * 5

x = 200

hope this helped, God bless!

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c) P=0.0866

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Step-by-step explanation:

a) The sampling distribution will have this properties:

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2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

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3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

$\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094$

B) The fraction with sample proportion of 0.45 or higher is

$z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714$

C) The fraction with sample proportion of 0.20 or lower is

$z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866$

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

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3 years ago

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Step-by-step explanation:

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3 years ago

On the number line below, Point B lies somewhere between Points A and C. If AB = \frac{1}{3} AC. Find BC. a 16 b 0 c 8 d 24

ollegr [7]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the number line is not attached.

However, the following will guide you through

Given

$AB = \frac{1}{3}AC$

Required

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First, we need to get the fraction of BC using the following

$AB + BC = AC$

Substitute $\frac{1}{3}AC$ for AB

$\frac{1}{3}AC + BC = AC$

Make BC the subject of formula

$BC = AC - \frac{1}{3}AC$

Take LCM

$BC = \frac{3AC - AC}{3}$

$BC = \frac{2AC}{3}$

$BC = \frac{2}{3}AC$

This implies that you multiply the length of AC by 2/3 to get BC

Take for instance, AC = 24

BC will be:

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Or if AC = 12

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