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3 years ago

Multiple Step Equations

2 answers:

5 0

The answer is D.

The first step is to use the distributive property and turn 5(x-4) into 5x - 20.
You then move the twenty into the right equation by adding 20 to both sides. The final step is to move the 3x into the left equation by subtraction and then dividing both sides by 2 to isolate x. Hope this helped !!

salantis [7]3 years ago

3 0

Answer:

Step-by-step explanation:

5(x-4) = 3x + 4

5x-20 = 3x + 4

5x-3x-20= 4

2x=4 +20

2x=24

x=12

check answer by inserting 12 for x into original equation.

5(12-4) = 3(12) +4

5(8) = 36 +4

40 = 40

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3 years ago

If a line slope of -1/2 contains the point (2,3), then it must also contain which of the following points?

tiny-mole [99]

Before the fraction: -1/2, i have a negative sign
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4 years ago

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3 years ago

Find the amplitude of y = -4 sin x.

lyudmila [28]

Answer:
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6 0

3 years ago

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago