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lys-0071 [83]
3 years ago
9

What is the volume of the regular pyramid bellow?

Mathematics
2 answers:
Svet_ta [14]3 years ago
8 0

Answer:

128 units^3

Step-by-step explanation:

v =  \frac{b \times b \times h}{3} =  \\  =  \frac{8 \times 8 \times 6}{3} =  \\  = 128 \:  {units}^{3}

andrey2020 [161]3 years ago
5 0

Step-by-step explanation:

base areas x height / 3

a^2 . h / 3

8^2 . 6 / 3

= 128 units^3

iyi ödevler

have a good lesson

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N the function y = 12.00x + 50, y represents the cost of carpet by the square yard and x represents the number of square yards.
borishaifa [10]

Answer:

The cost increase for each square of carpet by 12.

Step-by-step explanation:

The given function is

y=12.00x+50

It is a slope intercept form of the line

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of given function is 12 and the y-intercept is 50.

It means the initial ot fixed cost of the carpet is 50 and the cost increased by 12 for each square of carpet.

3 0
3 years ago
If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

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 retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

7 0
3 years ago
As a student you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your
dsp73
Okay. so, to find the answer for this, you should set the equation as 10.25x = 8,425. "x" equals the number of hours. What you should do is divide each side by 10.25 to isolate the "x". When you do that 8,425/10.25, you get 821.951 and other numbers or 822 hours when rounded to the nearest whole number. x is approximately 822. You would have to work about 822 hours to earn $8,425.
6 0
3 years ago
Read 2 more answers
Perform the indicated operation. 5/17 x 3/8
Rama09 [41]

Answer:

15/

x

136

Step-by-step explanation:

im pretty sure

5 0
2 years ago
Read 2 more answers
the hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
SIZIF [17.4K]
When a triangle is a 45-45-90 triangle, the following rules apply:

-the 2 legs are equal lengths
- the length of the hypotenuse is: the square root of 2 x the length of a leg.
- the length of the leg is: hypotenuse divided by the square root of 2.

if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.
the square root of 2 is <span>1.41421356237. 
10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>
6 0
3 years ago
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