A rectangular field has a length of 105 feet and a width of 60 feet. On a map of the field, the width was drawn as 4 inches. Wha

Describe how you regroup when you find the sum of 64 + 43

Svet_ta [12734]

When regrouping, you're essentially simplifying the problem into smaller parts. For instance, you would calculate 60 + 40=? and then solve 4 + 3=? The final answer would be 107.

4 0

2 months ago

What is the maximum number of times two planes can intersect? What is the minimum number of times they can intersect?

Inessa [12570]

The least number of times that two planes can cross is zero, since parallel planes do not intersect. A good example would be a floor and a ceiling, which run parallel, hence they do not meet. Conversely, if two planes occupy the same space, they can intersect at infinitely many points, as could happen with a line within that plane.

8 0

3 months ago

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:

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

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