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Triss [41]
3 years ago
9

4x10^7 is ? Times as much as 4x10^3

Mathematics
2 answers:
STatiana [176]3 years ago
7 0

Answer:

10^4 or 10,000

Step-by-step explanation:

This is a division problem. Think of the problem with easy, small numbers.

If the problem were "20 is ? times as much as 10?", you'd do 20/10 = 2, and the answer is 2.

Now we do the same with the numbers of this problem.

"4x10^7 is ? Times as much as 4x10^3"

Do this division:

(4x10^7)/(4x10^3) = 4/4 * 10^(7 - 3) = 1 * 10^4 = 10,000

Answer: 10^4 or 10,000

Artemon [7]3 years ago
5 0

Answer:

4x10^7 =40000000

4x10^3=4000

It is 10,000 larger

Step-by-step explanation:

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During the past six months, 73.2 percent of US households purchased sugar. Assume that these expenditures are approximately norm
Mrrafil [7]

Answer:

75.94% of the households spent between $5.00 and $9.00 on sugar.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 8.22, \sigma = 1.10

What proportion of the households spent between $5.00 and $9.00 on sugar?

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 5. So

X = 9

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

Z = \frac{9 - 8.22}{1.10}

Z = 0.71

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X = 5

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

Z = \frac{5 - 8.22}{1.10}

Z = -2.93

Z = -2.93 has a pvalue of 0.0017.

So 0.7611 - 0.0017 = 0.7594 = 75.94% of the households spent between $5.00 and $9.00 on sugar.

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