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3 years ago

At a math convention nora sold 13 rulers for $110.50 at the same price how much would 7 rulers cost?

Mathematics

1 answer:

Pie3 years ago

5 0

Answer:

$59.50

Step-by-step explanation:

You need to find the price of 1 ruler.

$\frac{110.50}{13}=$8.50$

Now you need to multiply the price of one, by 7 to find the answer.

$8.5*7=59.5$

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An insurance company study shows that 9% of U. S. adults have diabetes. Suppose 8 US adults are selected at random. LetX be the

Bogdan [553]

Using the binomial distribution, it is found that:

The mean of X is of 0.72.

The standard deviation of X is of 0.81.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

E(X) = np = 8 x 0.09 = 0.72.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81$

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

timurjin [86]

The perimeter of the entire figure is 62.8 cm.

Given, that the diameter of the inner semicircles is 9 cm and the width between the outer and inner semicircles is 2 cm.

The radius of the inner semicircle =4.5 cm and the radius of outer semicircle =5.5 cm (∵Diameter=9+2=11 cm)

We need to find the perimeter of the entire figure.

<h3>What is the perimeter?</h3>

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

We know that, the circumference of a semicircle=πr and the circumference of two semicircles=2πr

Thus, the circumference of inner semicircles=2×3.14×4.5=28.26 cm

The circumference of outer semicircles=2×3.14×5.5=34.54 cm

The perimeter of the entire figure=28.26+34.54=62.8 cm

Therefore, the perimeter of the entire figure is 62.8 cm.

To learn more about the perimeter visit:

brainly.com/question/6465134.

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2 years ago

Read 2 more answers

The fifth term of an arithmetic sequence is 96. Which rule could define the sequence

OLga [1]

Answer:

IT'S C

Step-by-step explanation:

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4 years ago

There are 10 red and 20 yellow balls. Drawing 3 balls without replacement, what is the chance the first is red and the next two

Xelga [282]

10 + 20 = 30 total balls.

Picking red = 10/30 = 1/3

After picking one ball there are 29 balls left.

Picking a yellow next is 20/29

Then there are 28 balls left and 19 yellow left, so picking another yellow would be 19/28

The probability of picking red first then two yellow = 1/3 x 20/29 x 19/28 = 95/609

6 0

3 years ago

Integrate dx/3sinx+4cosx

german

$\displaystyle\int\frac{\mathrm dx}{3\sin x+4\cos x}$

A standard approach would be the tangent half-angle substitution:

$t=\tan\dfrac x2\implies\mathrm dt=\dfrac12\sec^2\dfrac x2\,\mathrm dx$

Then

$\sin x=2\sin\dfrac x2\cos\dfrac x2\implies\sin x=\dfrac{2t}{1+t^2}$

$\cos x=\cos^2\dfrac x2-\sin^2\dfrac x2\implies\cos x=\dfrac{1-t^2}{1+t^2}$

from which we get

$\mathrm dx=\dfrac2{1+t^2}\,\mathrm dt$

So the integral becomes

$\displaystyle\int\frac{\frac2{1+t^2}}{\frac{6t}{1+t^2}+\frac{4(1-t^2)}{1+t^2}}\,\mathrm dt=\int\frac{\mathrm dt}{3t+2(1-t^2)}=-\int\frac{\mathrm dt}{2t^2-3t-2}$