MATHEMATICS COLLEGE

Adam bought 12 bagels. It cost him $30. How much does each bagel cost

Answers

Answer 1

Answer:

Answer:

$2.50

Step-by-step explanation:

$30 divided by 12 = 2.5

Each bagel is $2.5

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40% of the groups budget was spent on activities. If $64,000 was spent on the activities, what was the full budget? solve with the aid of a diagram. State what type of problem this is. if it's division, which type? Explain your reasoning, not just by using an equation.

Answers

Answer:

The full budget has a total value of $160,000

Step-by-step explanation:

This is a simple ratio problem and can be solved using the Rule of Three property. The Rule of Three is used to compare two ratios and find the missing part. In this case the ratios would be the following.

$(64,000)/(40 percent) = (x)/(100 percent)$

$(64,000 * 100 percent)/(40 percent) = \frac{x}$

$(6,400,000)/(40 percent) = \frac{x}$

$160,000= \frac{x}$

So now we know that 100% (The full budget) has a total value of $160,000.

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The surface area of the pyramid is 207 square inches.

What is the value of x ?

Answers

Answer:

Step-by-step explanation:

bacause value of 1 is one

Any help will mark brainliest

Answers

4 x 2 tens = 80, 28 x 14 = 392

The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.07 of the true proportion?

Answers

Answer: 339

Step-by-step explanation:

Since the prior estimate of population proportion is unknown , then we take p= 0.5

Given : Margin of error : E=0.07

Critical value for 99% confidence interval : $z_(\alpha/2)=2.576$

Formula for sample size :-

$n=0.5(1-0.5)((z_(\alpha/2))/(E))^2\n\n=0.25((2.576)/(0.07))^2\n\n=338.56\approx339$

Hence, the minimum sample size required = 339

i.e. they need to survey 339 residents.

Final answer:

To be at least 99% confident that the sample proportion is within 0.07 of the true proportion, the Arizona Department of Transportation needs to survey at least 753 residents.

Explanation:

To determine the minimum number of residents needed to survey in order to be at least 99% confident that the sample proportion is within 0.07 of the true proportion, we can use the formula:

n = (Zα/2)2p(1-p) / E2

Where:

n is the required sample size
Zα/2 is the critical value for the desired confidence level (in this case, 99% confidence)
p is the estimated proportion (we assume 0.5 if no estimate is given)
E is the maximum allowable error (in this case, 0.07)

Plugging in the values:

Zα/2 = 2.576 (from the normal distribution table for a 99% confidence level)
p = 0.5 (since no estimate is given)
E = 0.07

Calculating n:

n = (2.576)2(0.5)(1-0.5) / (0.07)2 = 752.92

Rounding up to the nearest whole number, the Arizona Department of Transportation needs to survey at least 753 residents to be at least 99% confident that the sample proportion is within 0.07 of the true proportion.