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podryga [215]
3 years ago
14

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build

ing does the ladder fall?
Mathematics
1 answer:
Pavel [41]3 years ago
5 0
10x2 = 20

the building from the ladder is 20ft
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EXTRA POINTS- find the value of x and the measure of each angle
Ierofanga [76]

Answer:

4.

x=15

angles

5x-24 = 51

3x+6 = 51

5.

x=58

angles

2x = 116

x+6 = 64

Step-by-step explanation:

5 0
2 years ago
2. In a recent survey conducted by the International Nanny Association, 4,176 nannies were placed in a job in a given year. Only
Natali [406]

Answer:

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Desired outcomes:

The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.

Total outcomes:

The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.

Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

P = \frac{24}{4176} = 0.0057

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

3 0
3 years ago
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π. show you work.
MaRussiya [10]
The diameter is 49

you take 153.86 and divide it by 3.14
3 0
2 years ago
Read 2 more answers
Suppose SAT Writing scores are normally distributed with a mean of 497 and a standard deviation of 109. A university plans to aw
Tema [17]

Answer:

721.54

Step-by-step explanation:

We have to convert the 2% given in the statement into a z-score, as follows:

P (X> x) = 2% = 0.02, P (Z> z) = 0.02

thus find z such that:

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P (Z <z) = 1 - 0.02

P (Z <z) = 0.98

we look for what value of z corresponds to in the normal distribution table and it is 2.06

x = m + z * sd

m is mean and sd standard deviation, replacing:

x = 497 + 2.06 * 109

x = 721.54

721.54 would be the minimum score.

8 0
3 years ago
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OLEGan [10]

They need to put away $458 each month!

4 0
3 years ago
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