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3 years ago

Select each true statement about this.

Mathematics

1 answer:

Burka [1]3 years ago

5 0

Answer:

The volume of the cylinder is324 п cm

The area of the base of the cylinder is 81 п cm

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

n x (9^2) x 4 = 324n

Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π

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A sample of 1500 computer chips revealed that 37% of the chips fail in the first 1000 hours of their use. The company's promotio

andreyandreev [35.5K]

Answer:

$z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59$

Step-by-step explanation:

Data given and notation

n=1500 represent the random sample taken

$\hat p=0.37$ estimated proportion of of chips fail in the first 100 hours

$p_o=0.39$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the actual percentage that fail is different from the stated percentage. Find the value of the test statistic.:

Null hypothesis: $p=0.39$

Alternative hypothesis: $p \neq 0.39$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59$

3 0

3 years ago

The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 squar

Aneli [31]

Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is $2(l+w)$ , which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is $2(20+12)$ = $2*32$ = 64ft, so choice C is the correct answer.

4 0

3 years ago

Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 ye

ehidna [41]

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+ $\frac{r}{n}$ $)^{nt}$ where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.