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Vitek1552 [10]
2 years ago
5

Austin asked Jeremy how far from the building the base of the ladder was. Jeremy did the problem and showed his work below. Aust

in thinks you should find c, the hypotenuse whereas Jeremy thinks you should find b. Find the distance between the ladder and house. Round to the nearest tenth if possible.

Mathematics
1 answer:
VMariaS [17]2 years ago
4 0

Answer: 5

Step-by-step explanation: This is the equation

12^2 + x^2 = 13^2

You solve for x

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Sarah has a 6 cup bag of rice. If a serving is ¾ of a cup, how many servings does Sarah have?
kondaur [170]

Answer:

There are 8 servings

Step-by-step explanation:

6÷3/4= 8

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Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of
vovangra [49]

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their down payment is 30%

Step-by-step explanation:

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1/8-(-5+3/4)=x+(-1/4)
-BARSIC- [3]

Answer:

x = 37 /8

Step-by-step explanation:

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3 years ago
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I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

5 0
3 years ago
What are axioms in algebra called in geometry?<br> What are axioms in algebra called in geometry
umka21 [38]

Answer:

Axioms are generally statements made about real numbers. ... Sometimes they are called algebraic postulates. Often what they say about real numbers holds true for geometric figures, and since real numbers are an important part of geometry when it comes to measuring figures, axioms are very useful

5 0
3 years ago
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