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Oksanka [162]
2 years ago
11

What is the volume of this pyramid?

Mathematics
1 answer:
lara [203]2 years ago
3 0
The answer is C grrrr
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Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P
ss7ja [257]

Answer:

\huge\boxed{\text{At least an } 87\%}

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

\displaystyle \frac{x_1+x_2+...x_n}{n}

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as x.

\displaystyle \frac{98+72+87+x}{4} \geq 86 (since we want AT LEAST an 86).

Let's solve this inequality for x.

  • \frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4
  • 98+72+87+x \geq 344
  • 257 + x \geq 344
  • 257 + x  - 257 \geq 344 - 257
  • x \geq 87

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0
2 years ago
A slide that Baker Park has a height of 10 feet and is 15 feet long. How high are you off the ground when you are 6 feet down th
ss7ja [257]

Answer:

4 ft

Step-by-step explanation:

just look at the length of the slide and substract it.

10-6=4

4 0
3 years ago
Read 2 more answers
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What
Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that \mu = 64.4, \sigma = 2.91

Sample of 50 women

This means that n = 50, s = \frac{2.91}{\sqrt{50}}

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

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

By the Central Limit Theorem

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

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

Z = 1.46 has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

8 0
2 years ago
in one day Annie traveled 5 times the sum of the number of hours Brian traveled and two together they travel 20 hours find this
Stels [109]

Use the distributive property:

5*b+5*2+b=20

5b+10+b=20.

Combine like terms:

6b+10=20.

Subtract 10 from both sides:

6b+10-10=20-10

6b=10.

Divide both sides by 6:

6b/6=10/6

b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels

5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

Hope this helps!

3 0
2 years ago
Read 2 more answers
27 minus 9X +15 Y please
Oksanka [162]

27 - 9x +15y

Factor out common  term 3 :

3(9-3x+5y)

hope this helps!

7 0
3 years ago
Read 2 more answers
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