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3 years ago

7 pints and 9 cups equals how many pints

Mathematics

2 answers:

olga2289 [7]3 years ago

8 0

Answer:

They equal 11.5 pints.

erik [133]3 years ago

5 0

Answer:

Altogether this would equal 11 1/2 pints

<em>Hope this helped!! Have a god day c;</em>

Step-by-step explanation:

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3 years ago

Complete the sentence.

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there are 17 puppies because 17% of 100% is 17 duh

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2 years ago

The distribution of the annual incomes of a group of middle management employees approximated a normal distribution with a mean

kondor19780726 [428]

Answer:

68% of the incomes lie between $36,400 and $38,000.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $37,200

Standard Deviation, σ = $800

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical rule:

Almost all the data lies within three standard deviation of mean for a normally distributed data.
About 68% of data lies within one standard deviation of mean.
About 95% of data lies within two standard deviation of mean.
About 99.7% of data lies within three standard deviation of mean.

Thus, 68% of data lies within one standard deviation.

$\mu \pm \sigma\\=37200 \pm 800\\=(36400,38000)$

Thus, 68% of the incomes lie between $36,400 and $38,000.

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3 years ago

The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-ax

charle [14.2K]

First, it would be good to know that the area bounded by the curve and the x-axis is convergent to begin with.

$\displaystyle\int_{-\infty}^{\ln\pi}\sin(e^x)\,\mathrm dx$

Let $u=e^x$ , so that $\mathrm dx=\dfrac{\mathrm du}u$ , and the integral is equivalent to

$\displaystyle\int_{u=0}^{u=\pi}\frac{\sin u}u\,\mathrm du$

The integrand is continuous everywhere except $u=0$ , but that's okay because we have $\lim\limits_{u\to0^+}\frac{\sin u}u=1$ . This means the integral is convergent - great! (Moreover, there's a special function designed to handle this sort of integral, aptly named the "sine integral function".)

Now, to compute the volume. Via the disk method, we have a volume given by the integral

$\displaystyle\pi\int_{-\infty}^{\ln\pi}\sin^2(e^x)\,\mathrm dx$

By the same substitution as before, we can write this as

$\displaystyle\pi\int_0^\pi\frac{\sin^2u}u\,\mathrm du$

The half-angle identity for sine allows us to rewrite as

$\displaystyle\pi\int_0^\pi\frac{1-\cos2u}{2u}\,\mathrm du$

and replacing $v=2u$ , $\dfrac{\mathrm dv}2=\mathrm du$ , we have

$\displaystyle\frac\pi2\int_0^{2\pi}\frac{1-\cos v}v\,\mathrm dv$

Like the previous, this require a special function in order to express it in a closed form. You would find that its value is

$\dfrac\pi2(\gamma-\mbox{Ci}(2\pi)+\ln(2\pi))$

where $\gamma$ is the Euler-Mascheroni constant and $\mbox{Ci}$ denotes the cosine integral function.

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3 years ago

Find the measure of angle x in the figure.

Ghella [55]

Answer:

x = 125°

Step-by-step explanation:

There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.

Total of angles

= (n - 2)•180°

Put in 7, because there are 7 angles.

= (7 - 2)•180°

= 5•180°

= 900°

So the total of the angles should be 900°. We know all of the angles except one.

900° = 123°+129°+128°+128°+132°+135°+ x

900° = 775° + x

Subtract 775.

125° = x

The missing angle is 125°.

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2 years ago