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3 years ago

(10x - 4)=20 Question: What value of x makes the equation true

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

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miskamm [114]

Answer:

D. We are 95% confident that between about 22% and 28% of ESPN Viewers thought the Eagles would still win the division.

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We have to calculate a 95% confidence interval for the population proportion. The population is made up of ESPN viewers.

The sample proportion is p=0.25.

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$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.25*0.75}{914}}\\\\\\ \sigma_p=\sqrt{0.00021}=0.014$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.014=0.028$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.25-0.028=0.222\\\\UL=p+z \cdot \sigma_p = 0.25+0.028=0.278$

The 95% confidence interval for the proportion of ESPN viewers is (0.222, 0.278) or (22.2%, 27.8%).

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3 years ago