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noname [10]
3 years ago
9

A carpenter leans a 20-foot ladder against a building so that an angle of 60° is formed between the ladder and the ground. How m

any feet away from the
building is the bottom of the ladder?
O 10/3ft
O 20 ft
O 20V2 ft
O 10 ft
Mathematics
2 answers:
iogann1982 [59]3 years ago
8 0

Answer:

The foot of the ladder is

10

feet away from the base of the wall.

Step-by-step explanation:

Ivanshal [37]3 years ago
3 0
10 is the answer hop it is right
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Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
2 years ago
A flagpole that is 32 feet tall casts a 67-foot shadow. What is the angle, marked with an x on the diagram, that the sun hits th
Elenna [48]

Answer:

64

Step-by-step explanation:

5 0
3 years ago
Solve 2+3e^x+2=7 for x.
joja [24]

Answer:

X=0

Step-by-step explanation:

In the picture above.

Hope this helps.

8 0
3 years ago
at an animal shelter there are 15 dogs 12 cats 3 snakes and 5 parakeets. what percent of the number of cats is the number of sna
dsp73
Percentage of cats
\frac{# animals}{#cats} = \frac{100}{?}
\frac{35}{12}=  \frac{100}{?} 

**cross multiply 12 and 100 which is 1200
**divide 35 into 1200
the answer is 34.3% when rounded

percentage of snakes
\frac{# animals}{#snakes} = \frac{100}{?}
**cross multiply 3 and 100 which is 300
<span>**divide 35 into 300</span>
<span>\frac{35}{3}= \frac{100}{?}
</span>the answer is 8.57%
7 0
3 years ago
Which ordered Pair is a solution to the system of linear equation 2x+3y=6 -3x+5y=10
solong [7]
The answer is:
x=0 and y=2
4 0
2 years ago
Read 2 more answers
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