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2 years ago

Help help help help help math

Mathematics

1 answer:

AnnZ [28]2 years ago

4 0

Answer:

volume of cylinder= 384 inch³

Step-by-step explanation:

V = πr²h

= 3 * 8² * 2

= 384 inch³

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While exercising victor walked 3/4 of a mile in 1/5 of an hour. at this rate how far will he have traveled after an hour

Marina86 [1]

(1 / 5) hour is 12 minutes and five times this equals 1 hour.
So the distance times 5 equals miles per hour.
(3 / 4) * 5 = 15 / 4 = 3.75 mph

4 0

3 years ago

How to calculate standard deviation given mean and sample size?

ad-work [718]

In addition to mean and sample size you will need the individual scores.

The formula for standard deviation is:

S^2 = E(X-M)^2/N-1

Here's an example:
Data set: 4,4,3,1
Mean: 3
Sample size: 4

First, put the individual scores one after the other and subtract the mean from it.
4 - 3 = 1
4 - 3 = 1
3 - 3 = 0
1 - 3 = -2

Second, square the answers you got from step 1.
1^2 = 1
1^2 = 1
0^2 = 0
-2^2 = 4
Third, plug the values from step 2 into the formula.

S^2 = (1+1+0+4)/(4-1) = 6/3 = 2

Standard deviation = 2

3 0

2 years ago

The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in

nikklg [1K]

We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575

</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]

For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]

Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]

5 0

3 years ago

Read 2 more answers

What is the expanded form of the number 34.576?

Alik [6]

Answer:

34.576 = 30 + 4 + 0.5 + 0.07 + 0.006

4 0

1 year ago

Read 2 more answers

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

2 years ago