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mr Goodwill [35]
2 years ago
10

The equation $y = -16t^2 + 80t$ describes the height (in feet) of a projectile launched from the ground at 80 feet per second. A

t what $t$ will the projectile reach 36 feet in height for the first time? Express your answer as a decimal rounded to the nearest tenth.
Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
4 0
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A. 305
b. 900
c. 46
d. 157,019
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2 years ago
Determine the domain of each piece. Domain of piece 1:[) Domain of piece 2: [) Domain of piece 3:[
zheka24 [161]

Answer:

Domain of piece 1:[) -4,-1

Domain of piece 2: [) -1,1

Domain of piece 3:[] 1,5

Step 2:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y=2-x

Step-by-step explanation:

Correct on Edgen

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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
ollegr [7]

Answer: a. A point estimate for p is 0.597 .

b. The 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

Step-by-step explanation:

Given : Sample size of professional actors : n= 67

Number of extroverts : x= 40

Let p represent the proportion of all actors who are extroverts.

a. The point estimate for p = sample proportion = \hat{p}=\dfrac{x}{n}

=\dfrac{40}{67}=0.597

b. Confidence interval for population proportion :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Since the critical value for 95% confidence interval is 1.96 , so the 95% confidence interval for p would be

0.597\pm (1.96)\sqrt{\dfrac{0.597(1-0.597)}{67}}

0.597\pm (1.96)\sqrt{0.0036}

0.597\pm (1.96)(0.06)

0.597\pm 0.1176

(0.597-0.1176,\ 0.597+0.1176)\\\\=(0.4794,\ 0.7146)\\\\\approx(0.48,\ 0.71)

In the 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

8 0
2 years ago
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The improper fraction 37/6 can be changed to the mixed number​
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Answer: 6 1/6

Step-by-step explanation:

6 can go into 37 6 times

6x6=36

with 1 left over

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2 years ago
Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos
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8 = 2*2*2

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LCM = 72

Sam and Carlos have each knocked down 72 pins

8 0
2 years ago
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