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4 years ago

The diameter of a circular swimming pool is 18 feet. find the circumference to the nearest tenth

Mathematics

1 answer:

ikadub [295]4 years ago

3 0

Answer:

circumfence ≈ 56.5 feet

Step-by-step explanation:

circumfence = pi * diameter = pi * 18 = 56.54866776 ≈ 56.5 feet

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If your income is $18.00 and the prices of x and y are $4.00 and $2.00, respectively, what quantities of each will you purchase

boyakko [2]

Answer:

2 units of X and 5 units of Y

Step-by-step explanation:

(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)

This condition holds for the following cases

1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)

2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)

For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).

In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).

Optimal case contains X = 2 units, Y = 5 units.

6 0

3 years ago

How to find the volume of the round bodies?

faltersainse [42]

Pi x Radius squared should be your answer.

7 0

4 years ago

John says that if one side of an inequality is 0, you don't have to reverse the inequality symbol when you multiply or divide bo

Jobisdone [24]

It doesn't matter if there is 0, you still flip the inequality symbol.
-3z ≥ 0
z ≤ 0

6 0

3 years ago

Read 2 more answers

What is the range of the function y = -x2 + 1? Y<-1 Y>-1 Y<1 Y>1

VLD [36.1K]

Answer:

Y<1 I belive

Step-by-step explanation:

Im not 100% sure, is the equation supposed to be y=- $x^{2}$ +1?

7 0

3 years ago

A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being

Fofino [41]

We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.

The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.

The 95% confidence for the population mean will be:

$(119-1.998 *\frac{16}{ \sqrt{64} } ,119+1.998 *\frac{16}{ \sqrt{64} }) \\ \\ 
=(115.004, 122.996) \\ \\=(115,123)$

Thus, the 95% confidence interval for the population mean will be (115,123)

So, option A is the correct answer

6 0

3 years ago