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NISA [10]
2 years ago
12

a ladder on a fire truck has its base 6 ft above the ground. the maximum length of the ladder is 100 ft. if the ladder's greates

t angle of elevation possible is 65°, what is the highest above the ground that it can reach?
Mathematics
1 answer:
inessss [21]2 years ago
5 0

Answer:

101.97 feet above the ground

Step-by-step explanation:

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To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error is:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: z_{\alpha /2}=1.96

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0
3 years ago
If a + b + c = -2 and x + y = 10,<br> what is -9a + 2x - 9b - 9c + 2y?
MaRussiya [10]
38
because since all abc and xy have the same coefficients it makes it easier. 
i just made a=-2, b=-4,and c=4 because when added up it equals -2
i also made both x and y =5 becasue when added up it equals 10
so, -9(-2)+2(5)-9(-4)-9(4)+2(5)
18+10+36-36+10=38
4 0
3 years ago
Evaluate [7 - (2 - 5(4 - 2) + 7)] + 2
motikmotik
You are correct. here it is step by step.

[7-(2-5(2)+7)] +2
[7-(2-10+7)]+2
[7-(-1)]+2
8+2
10
7 0
3 years ago
Read 2 more answers
Matt bought an iPod from the Apple Store for $350. If it's value will depreciate by $52 a year, how much should Matt sell his iP
Bogdan [553]
Decreasing by $52 every year, we need to subtract 52 for each year. 

350 is the original price. 
52x is the amount decreased by how many years

350 - 52(3) = ?
350-156 = 194

Answer: Matt should sell his iPod for $194 in 3 years
6 0
4 years ago
Read 2 more answers
If i had 10 pound then i times that by 4 then divide by 2 then take 5 away what is it
Lemur [1.5K]
15 because 10x4 is 40 divided by 2 is 20 and 20-5 =15
3 0
3 years ago
Read 2 more answers
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