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slega [8]
3 years ago
10

A 10ft by 10ft square garden contains a large walking path through the diagonal. What is the area of the walking path shown in t

he gray below?
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0
64fts^2 is the answer
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Use a proportion to determine the number of children age 5 in a kindergarten class if 80% of a class of 20 children are that age
igor_vitrenko [27]

Answer:

16 children

Step-by-step explanation:

80% of 20 children comes out to 16 children who are of age 5.

If desired, rewrite "80%" as "0.80" and use that 0.80 as the multiplier of 20:

0.80(20 children) = 16 children.

4 0
4 years ago
Suppose f(x)=x^2. what is the graph of g(x)=f(4x)?
kirza4 [7]
G(x)=f(4x)
f(x)=x²
f(4x)=(4x)²
g(x)=(4x)²=16x²
g(x)=16x²

4 0
4 years ago
Read 2 more answers
Which explains whether or not the values in the table represent a direct variation?
Assoli18 [71]

Answer:

This function represents a direct variation because it passes through the origin and has a constant rate

4 0
3 years ago
1. Find the 90% Cl for the population mean if sample
Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

8 0
3 years ago
Which set of side lengths forms a right triangle? A) 5 cm, 6 cm,7 cm B) 2 cm, 4 cm, 6 cm C) 8 cm, 9 cm, 11 cm D) 8 cm, 15 cm, 17
Tamiku [17]
A) 5cm,6cm,7cm
you’re welcome
3 0
3 years ago
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