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sweet-ann
2 months ago
8

• Jamie is constructing shipping containers for a sporting goods store. The containers are to be rectangular prisms.

Mathematics
1 answer:
lawyer [12.5K]2 months ago
4 0
Jamie is currently constructing shipping containers for a store selling sports equipment. These containers are designed as rectangular prisms.
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Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per
lawyer [12517]

Response: (0.8115, 0.8645)

Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

Provided: Sample size: n= 525

Number of respondents indicating they leave one space: 440

Thus, the sample proportion is: \hat{p}=\dfrac{440}{525}\approx0.838

The z-score for a 90% confidence interval is: 1.645

The formula for determining the confidence interval:

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)

Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)

3 0
2 months ago
One similar figure has an area that is nine times the area of another. The larger figure must have dimensions that are times the
Svet_ta [12734]
T<span>he area of a figure signifies the measure of space within a two-dimensional shape, typically expressed as square units based on the figure's dimensions.

For instance, with a shape having dimensions of k, its area can be given by k^2.
</span>
<span>Consider that one similar figure possesses an area nine times that of another.

As these figures are similar, their areas correspond to the proportionality of their dimensions.

Let the smaller shape's dimensions be k, while the larger is p times the dimensions of the smaller shape. The smaller shape's area is k^2 and the larger shape's area is (pk)^2.

Now, knowing the larger figure's area is nine times the area of the smaller figure, we have:
\frac{(pk)^2}{k^2} = \frac{9}{1} \\ \\ \frac{p^2k^2}{k^2} =9 \\ \\ p^2=9 \\ \\ p= \sqrt{9} \\ \\ p=3
</span>
Thus, the dimensions of the larger figure must be 3 times those of the smaller figure.
3 0
1 month ago
Read 2 more answers
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
zzz [12365]

Answer:

The wheel's diameter in millimeters is 660.4

Step-by-step explanation:

The diameter of the wheel is 26 inches

as given

1 inch equals 25.4 millimeters

Multiplying both sides by 26

26 inches = 26*25.4 millimeters

=>26 inches = 660.4 mm.

Thus, the diameter of the wheel in millimeters is 660.4

3 0
2 months ago
Describe the number 78 in two different ways
tester [12383]
78 can be expressed as seventy-eight, 78 over 1, and 78/1.
Additionally, it can be represented as 78/100 and 1/78, which are different fractions describing the same number.
5 0
2 months ago
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