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2 years ago

Which of the following could be the side lengths of a right triangle?

Mathematics

1 answer:

daser333 [38]2 years ago

6 0

Answer:

I. 33,56,65

Step-by-step explanation:

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The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi

son4ous [18]

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

6 0

3 years ago

How you do you solve for it??

AysviL [449]

Sam is dead, im sorry to have to tell you over line, i love you mom
With love,
Mike

6 0

2 years ago

When the shaded region below is rotated about the x-axis the resulting solid is a circular cone with radius 2 m and height 3 m.

WARRIOR [948]

Answer:

Therefore, the volume of the cone is V=4π.

Step-by-step explanation:

From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.

We have the formula:

$\boxed{V=\int_0^h\pi \cdot \left(\frac{r}{h}x\right)^2\, dx}$

We know that r=2 and h=3, and we get:

$V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi$

Therefore, the volume of the cone is V=4π.

7 0

3 years ago

line segment with one endpoint at (2,5) is divided in the ratio 4:5 by the point (10,1). which coordinates could represent the o

rodikova [14]

Answer:

(20,-4)

Step-by-step explanation:

We are given;

One end point as (2,5)

Point of division as (10,1)

The ratio of division as 4:5

We are required to calculate the other endpoint.

Assuming the other endpoint is (x,y)

Using the ratio theorem

If the unknown endpoint is the last point on the line segment;

Then;

$\left[\begin{array}{ccc}10\\1\end{array}\right]$ = $\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]$ + $\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]$