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mafiozo [28]
3 years ago
14

The bottom of a ladder must be placed 4 feet from the base of a pole barn. The ladder is 14 feet long. How far above the ground

will the ladder touch the pole barn? Round to the nearest tenth

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Check the picture below.

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What is the equation of the translated function?
Musya8 [376]
For this case the main function is:
 f (x) = x ^ 2
 We are going to apply the following transformations:

 Vertical translations
 Suppose that k> 0:
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 f (x) = x ^ 2 + 5

 Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 f (x) = (x + 1) ^ 2 + 5

 Answer:
 
f (x) = (x + 1) ^ 2 + 5
3 0
3 years ago
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The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n
xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

5 0
3 years ago
Find volume with full working out pls asap
ZanzabumX [31]

Answer:

868 m³

Step-by-step explanation:

Volume = Difference of cones

V = ⅓(pi×r²h)

Volume of cone with base Circle O:

h = 8.2+8.2 = 16.4 m

V1 = ⅓(pi×7.6²×16.4)

V1 = 991.97

Volume of cone with base Circle A:

V2 = ⅓(pi×3.8²× 8.2)

V2 = 124 m³

Volume = V1 - V2

991.97 - 124 = 868 m³

6 0
3 years ago
Which set of points below represents a function
vazorg [7]

Answer:

I believe it's the 3rd option:

(-1, 8), (0, 10), (1,12), (2, 14)

Step-by-step explanation:

3 0
2 years ago
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laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise? and can u show ur work pls
ololo11 [35]

Answer:

57 percent

Step-by-step explanation:

4 divided by 7= .57

  •                57 reminder 1
  •             ________
  •          7l 40
  •               35
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4 0
2 years ago
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