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2 years ago

Calculate a length of a square ground of perimeter 160m

Mathematics

1 answer:

wlad13 [49]2 years ago

5 0

Square Perimetre = Side x 4
So a length of a square ground is 160/4 = 40 (m)

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Find the surface area of a cone if the diameter of its base is 13.5 feet, and it has a slant height of 16.8 feet. Round to the n

Tresset [83]

The diameter is given which is 13.5feet and radius is half of diameter. Therefore radius = 6.75 feet.

Slant height = 16.8 feet

The formula of surface area of cone is

$S = \pi *r(r+l) \\ S = \pi*6.75(6.75+16.8) \\ S =\pi*6.75*23.55 = 499.2 ft^2$

Correct option is C

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3 years ago

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OverLord2011 [107]

Answer:

Option C is correct

Step-by-step explanation:

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2 years ago

Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of

maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Out of 100 people sampled, 42 had kids.

This means that $n = 100, \pi = \frac{42}{100} = 0.42$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547$

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0

2 years ago

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a

MaRussiya [10]

Answer:

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of mg of sodium in 1 oz of chips.

y is the number of mg of sodium in a cup of soda.

Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.

This means that:

$5x + y = 650$

Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.

This means that:

$x + 5y = 250$

From the first equation:

$y = 650 - 5x$

Replacing in the second

$x + 5(650 - 5x) = 250$

$x + 3250 - 25x = 250$

$25x = 3000$

$x = \frac{3000}{25}$

$x = 120$

$y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50$

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

5 0

2 years ago

There are many cylinders with a height of 9 inches. Let R represent the radius in inches and V represent the volume in cubic inc

PtichkaEL [24]

Answer:

R V

1 9π in³

2 36π in³

3 81π in³

Step-by-step explanation:

For, r = 1

V = π(1)²9 = 9π in³

For, r = 2

V = π(2)²9 = 4*9π in³ = 36π in³

For r = 3

V = π(3)²9 = 9*9π in³ = 81π in

R V

1 9π in³

2 36π in³

3 81π in³

6 0

3 years ago

Calculate a length of a square ground of perimeter 160m​

Calculate a length of a square ground of perimeter 160m