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zzz [600]
3 years ago
14

A children's roller coaster ride travels along 3,300 feet of track at an average rate of 15

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

150 seconds

Step-by-step explanation:

Remember that

1\ mile=5,280\ feet

To convert miles to feet multiply by 5,280

1\ hour=3,600\ seconds

To convert hours to seconds, multiply by 3,600

step 1

Convert the average rate of miles per hour to feet per second

15\frac{mi}{h}=15(\frac{5,280}{3,600})=22\frac{ft}{sec}

step 2

Find out how many seconds does the ride take to travel this length of track

we know that

The length of the track is 3,300 ft

so

Divide the total length of the track by the speed

\frac{3,300}{22}= 150\ sec

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Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

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Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

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a.

ŷ = 17.49 + 1.0334(89)

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b.

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Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

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Interval = 149.77 ± 39.0817

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