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Alex Ar [27]
3 years ago
6

there is 4/5 lb of sand in science supplies. if one scoop of sand weighs 1/20 of a lb how many scoops of sand can maria get from

the class supplies?
Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
We want to divide whole sand into scoops, so we have to divide 4/5 by 1/20. Lets do this

\frac{ \frac{4}{5} }{ \frac{1}{20} }
We know that if we want to divide 2 fraction we can multiply first by inverse of second fraction instead of dividing.,so:
\frac{ \frac{4}{5} }{ \frac{1}{20} }
\frac{4}{5}* \frac{20}{1}= \frac{4*20}{5*1}   = \frac{80}{5}= 16 scoops - its our result.
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-Dominant- [34]

AAB  I think that's it get back to me If its wrong



6 0
3 years ago
A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

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

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
3 years ago
Please help me .
Margarita [4]

Answer:

(2x + 3)(x - 2)

Step-by-step explanation:

use FOIL

First, Outside, Inside, Last

2x x x = 2x²

2x x -2 = -4x

3 x x = 3x

3 x -2 = -6

2x² - 4x + 3x - 6

5 0
2 years ago
A cylinder has a volume of 625 cubic feet and has a radius of 9 feet which of the following equations could be used to find h th
kifflom [539]

Answer:

Divide

Step-by-step explanation:

im think you have to divide to find the height of the cylinder.

625 divide 9 = 69.44

3 0
3 years ago
Help please and thank you
bogdanovich [222]
31.5
because 3 gallons are lost per minute so 3 x 10.5= 31.5
3 0
3 years ago
Read 2 more answers
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