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3 years ago

Find the slope of the line passing through the points(-3, 7) and (2, -6).

Mathematics

1 answer:

postnew [5]3 years ago

4 0

Answer:

-13/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-6-7/2-(-3)

-13/5

Best of Luck!

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A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

OleMash [197]

Answer:

The plastic cylindrical cup will hold 17.96 ounces of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

Taking the value $\pi$ = 3.14.

Now, to get the height (h) we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 2^2\times \frac{h}{3}$

$6=3.14\times 4\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$18=12.56h$

Dividing both sides by 12.56 we get:

$1.43=h$

$h=1.43\ inches.$

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

$Volume =\pi r^2h$

$Volume=3.14\times 2^2\times 1.43$

$Volume=3.14\times 4\times 1.43$

$Volume=17.96\ oz.$

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0

3 years ago

A chemist weighed an object and found its mass to be 250 grams. The objects actual mass is 360 grams. What was the chemists perc

icang [17]

100 percent off the top floor of a chair

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4 years ago

Simplify sin^2y/sec^2 y−1 to a single trigonometric function

liubo4ka [24]

Answer:

$\frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 } = { \cos }^{2} y$

Step-by-step explanation:

We know that ${ \tan }^{2} y = { \sec }^{2} y - 1$

Also , ${ \tan}^{2} y = \frac{ { \sin }^{2} y}{ { \cos }^{2}y }$

So ,

$\frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 } = \frac{ { \sin}^{2} y}{ { \tan }^{2} y} = \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } } = { \cos }^{2} y$

6 0

3 years ago

The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute

kirza4 [7]

Answer:

$P(X$

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(412,68)$