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riadik2000 [5.3K]
3 years ago
7

A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h,

at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?
Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

worty [1.4K]3 years ago
5 0

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

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k0ka [10]
We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

E=z* \sqrt{ \frac{p(1-p)}{n} }

Using the values, we get:

0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\  \\ 
0.027=z*0.016 \\  \\ 
z= \frac{0.027}{0.01633}  \\  \\ 
z=1.65

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B
7 0
3 years ago
Describe the relationship between the value of (126+9) and (126+9) / 2.
Burka [1]
Hello!, 

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5 0
2 years ago
Read 2 more answers
Suppose you have to use right-triangle trigonometry to find the apothem of a regular polygon. Which is greater, the apothem or t
asambeis [7]
The apothem represents one side of the right triangle to be solved. Specifically, it represents the height of the triangle.
 The radius of the polygon represents the hypotenuse of the right triangle that is going to be solved.
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8 0
3 years ago
Please help!! i will help you back!!
NeX [460]

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

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7 0
3 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
3 years ago
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