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Sonbull [250]
4 years ago
13

What is 2/3 times 4/5 as a decimal!

Mathematics
2 answers:
Nitella [24]4 years ago
5 0
Hey there,

Your correct answer to \frac{2}{3}×\frac{4}{5} as a decimal would be 0.53

Your correct answer would be \boxed{0.53}

Hope this helps

~Jurgen
bazaltina [42]4 years ago
5 0

Let's first multiply 2/3 and 4/5.


2 * 4 = 8

3 * 5 = 15


= 8/15

<u>2/3 * 4/5 = 8/15</u>


Now, let's convert 8/15 to a decimal.


Divide 8 and 15:

8 ÷ 15 = 0.53

<u>2/3 x 4/5 as a decimal is 0.53.</u>


I hope this helps! :)

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Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of resi
Ymorist [56]

Answer:

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.

This means that p = 0.18, n = 100

So, by the Central Limit Theorem:

\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384

How likely is the resulting sample proportion to be between 0.066 and 0.294?

This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So

X = 0.294

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

By the Central Limit Theorem

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

Z = \frac{0.294 - 0.18}{0.0384}

Z = 2.97

Z = 2.97 has a pvalue of 0.9985

X = 0.066

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

Z = \frac{0.066 - 0.18}{0.0384}

Z = -2.97

Z = -2.97 has a pvalue of 0.0015

0.9985 - 0.0015 = 0.997

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

3 0
3 years ago
Find the 5th term in the sequence that is defined as follows:<br> Please help!!
dmitriy555 [2]

Answer:

155

Step-by-step explanation:

Using the recursive formula and a₁ = 1, then

a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5

a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17

a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53

a₅ = 3a₄ + 2 = 3(51) + 2 = 153 + 2 = 155

Thus the 5 th term is 155

8 0
3 years ago
How many 1/5 parts are in 4
lyudmila [28]
There are 20 1/5 parts in 4. 

1/5*20 = 4
7 0
4 years ago
Read 2 more answers
3. One less than twice a number, x, is equal to four.
Eduardwww [97]

Answer:

3. 2x - 1 = 4

4. x/6 = 1/2

4 0
4 years ago
Your boat has a weight limit of 1,200 lb to pose an average adult weights 150 lb in an average child weighs 100 pounds there are
neonofarm [45]

Answer:

Yes the boat is safe the weight 1,100

Step-by-step explanation:

The adults weighs 600 pounds and the children weigh 500 pounds

7 0
3 years ago
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