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Strike441 [17]
3 years ago
12

Find the volume of a pyramid with a square base, where the side length of the base is

Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer:

Volume of the pyramid =  927.72 m² (Approx)

Step-by-step explanation:

Given:

Length of base = 16.6 m

Height of the pyramid = 10.1 m

Find:

Volume of the pyramid = ?

Computation:

Area of the square base = Side²

Area of the square base = (16.6)²

Area of the square base = 275.56 m²

Volume\ of\ the\ pyramid = \frac{1}{3}(Area\ of\ base)(Height)\\\\Volume\ of\ the\ pyramid = \frac{1}{3}(275.56)(10.1)\\\\Volume\ of\ the\ pyramid = 927.7186

Volume of the pyramid =  927.72 m² (Approx)

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If f(x) = 2x + 1 and g(x) = f(x) + 3,<br> what would be the function of g(x)?
Maslowich

f(x) = 2x + 1 and g(x) = f(x) + 3

g(x) = 2x + 1 + 3

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matrenka [14]
This is hard to solve
8 0
3 years ago
An instructor believes the distribution of scores on her final exam will have mean 62 and standard deviation 7. Fred is a studen
OLga [1]

Answer:

a) P(47

And then the probability that Fred will not score between 47 and 77 is

1-0.968 = 0.0321

b) P(45

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".  

Part a

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(62,7)  

Where \mu=62 and \sigma=7

We are interested on this probability  on the probability that Fred will not score between 47 and 77. So we can begin finding this probability

P(47

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(47

And we can find this probability on this way:

P(-2.143

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2.143

And then the probability that Fred will not score between 47 and 77 is

1-0.968 = 0.0321

Part b

P(45

And we can find this probability on this way:

P(-2.429

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2.429

7 0
3 years ago
Find the area of a circle with radius 28 cm.
vovikov84 [41]

Answer:

Area = pi x 28^2 = ~2463 (cm2)

7 0
3 years ago
Read 2 more answers
I need help! ASAP PLS
Delicious77 [7]

Answer:

The area is 155 ft.

Step-by-step explanation:

To find the area if a trapezoid, you have to add the number on top( in this case 13 ft) and then add that with the bottom number(18 ft.) Then, you take that answer and divide it by 2. After that, multiply it with the height(10.) Thus, the answer is 155 ft.

3 0
3 years ago
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