Find the volume of the pyramid. A) 22 cm3 B) 264 cm3 C) 132 cm3 D) 44 cm3

Which only lists multiples of 18?

makvit [3.9K]

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I hope this helps I'm not exact sure

3 0

3 years ago

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What Fraction Of The Wall Did Kevin Paint?

Mila [183]

Kevin painted $\frac{1}{9}$ of the wall.

Solution:

Fraction of the wall painted by Elena = $\frac{5}{9}$

Fraction of the wall painted by Matthew = $\frac{3}{9}$

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

To find the wall painted by Kevin:

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

$$=1-\frac{5}{9}-\frac{3}{9}$

$$=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}$

To make the denominator same, multiply the numerator and denominator of the first term by 9.

$$=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}$

$$=\frac{9-5-3}{9}$

$$=\frac{1}{9}$

Rest of the wall = $\frac{1}{9}$

Hence the kevin painted $\frac{1}{9}$ of the wall.

6 0

3 years ago

Jude puts 6 lemons in bag. If he has 170 lemons how many will be left over

baherus [9]

2 will be left over The largest multiple of 6 which is less than or equal to 170 is 168
and 170−168=2

7 0

3 years ago

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Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 22 kg. What perce

LenKa [72]

Answer:

14.28% of individual adult females have weights between 75 kg and 83 kg.

92.82% of the sample means are between 75 kg and 83 kg.

Step-by-step explanation:

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 $\frac{\sigma}{\sqrt{n}}$ .

Problems of normally distributed samples can be 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.

In this problem, we have that:

Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 22 kg. This means that $\mu = 79, \sigma = 22$ .

What percentage of individual adult females have weights between 75 kg and 83 kg?

This percentage is the pvalue of Z when $X = 83$ subtracted by the pvalue of Z when $X = 75$ . So:

X = 83

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

$Z = \frac{83 - 79}{22}$

$Z = 0.18$

$Z = 0.18$ has a pvalue of 0.5714.

X = 75

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

$Z = \frac{75- 79}{22}$

$Z = -0.18$

$Z = -0.18$ has a pvalue of 0.4286.

This means that 0.5714-0.4286 = 0.1428 = 14.28% of individual adult females have weights between 75 kg and 83 kg.

If samples of 100 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 75 kg and 83 kg?

Now we use the Central Limit THeorem, when $n = 100$ . So $s = \frac{22}{\sqrt{100}} = 2.2.$