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Mars2501 [29]
3 years ago
6

VOLUME OF PYRAMIDS & CONES MAZE!

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

192m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a square based pyramid

The highlighted figure is a square based pyramid

The volume of a pyramid is

V=a²h/3

Where a= base length

h= height

Given a= 8m

h= 9m

Volume = 8²*9/3

Volume = 64*3

Volume = 192m³

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LiRa [457]

Answer:

The answer is b and e

7 0
3 years ago
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Point W has coordinates (4, -7). If it is reflected over the y -axis, what are the coordinates of its image?
Korolek [52]

Answer:

I thank it is D

Step-by-step explanation:

4 0
2 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Rzqust [24]

Answer:

a = 6 or 9

Step-by-step explanation:

The "a", "b", and "c" of the quadratic formula are the coefficients of a², a, and the constant term in the given equation:

... a = 2, b = -30, c = 108

Then the quadratic formula tells you the solutions are ...

... (-b ± √(b² -4ac))/(2a)

... = (-(-30) ± √((-30)² -4(2)(108)))/(2(2))

... = (30 ± √(900 -864))/4

... = (30 ± √36)/4

... = (30 ± 6)/4 = {24, 36}/4

... = {6, 9}

_____

The <em>a</em> variable should not be confused with the "a" that is used to name the coefficient of the square of the variable in the quadratic formula. If it is too confusing, rewrite one or the other. For example, you could write ...

... The solution to pa² +qa +r = 0 is ... a = (-q ± √(q²-4pr))/(2p)

where p=2, q=-30, r=108 in the given equation.

5 0
3 years ago
Melissa was charged $3 each time she
Vika [28.1K]

Answer:

Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month

Step-by-step explanation:

Melissa was charged $3 each time she used the ATM at work

She used the work ATM 24 times in a month.

Charge per usage= $3

Number of times of usage= 24

By how much did her bank account change from using the ATM at work

Total charges = charge per usage × Number of times of usage

= 3 × 24

= 72

Total charges = $72

Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month

5 0
3 years ago
In a given year, the average annual salary of a NFL football player was $189,000 with a standard deviation of $20,500. If a samp
nika2105 [10]

Answer:

15.15% probability that the sample mean will be $192,000 or more.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 189000, \sigma = 20500, n = 50, s = \frac{20500}{\sqrt{50}} = 2899.14

The probability that the sample mean will be $192,000 or more is

This is 1 subtracted by the pvalue of z when X = 192000. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{192000 - 189000}{2899.14}

Z = 1.03

Z = 1.03 has a pvalue of 0.8485.

1-0.8485 = 0.1515

15.15% probability that the sample mean will be $192,000 or more.

7 0
3 years ago
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