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Mariana [72]
4 years ago
9

Which mathematical sentence most accurately expresses the information in the problem below? Crystal has 121 compact discs that s

he wants to put into boxes. Each of the boxes that she brought home holds 25 discs. How many of these boxes will she need for all of her discs?
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
5 0

Crystal has 121 compact discs. The total number of boxes required are 5.

<u>Solution:</u>

Given, Crystal has 121 compact discs that she wants to put into boxes.  

Each of the boxes that she brought home holds 25 discs.  

We have to find how many of these boxes will she need for all of her discs?

Now, we know that, number of boxes required =\frac{\text {total number of discs}}{\text {capacity of one box}}=\frac{121}{25}=4.84=5

Here we took 5 because 0.84 means that box with discs less than 25 still we require a box.  

Hence, the total number of boxes required are 5.

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Step-by-step explanation:

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7 0
3 years ago
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melomori [17]

Answer:

The sample proportion represents a statistically significant difference from 50%

Step-by-step explanation:

Null hypothesis: The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

Conclusion:

Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.

There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.

3 0
3 years ago
What is the equation of a line that passes through (1,5) and (3,11)? Show work please.
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3 0
3 years ago
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