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malfutka [58]
4 years ago
14

A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x

is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
Mathematics
1 answer:
Ad libitum [116K]4 years ago
7 0
y(40)=-0.03(40^{2})+1.6(40)=16feet
16>10

Yes, the ball clears the goal by 6 feet.
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A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
3 years ago
Please help
bazaltina [42]

Answer:

6

Step-by-step explanation:

8(1/2) + 2(4)

/2

4 + 8

/2

12/2

6

6 0
3 years ago
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Ows the length of 3 movies in each of 3 categories. Choose the formula that could be used in cell B2.
Artyom0805 [142]
From the choices above, <span>the formula that could be used in cell  is B2.</span>B. 3 * E2 - (C2 + D2).
8 0
3 years ago
Find the length of the arc.
Arte-miy333 [17]
  • radius=r=7in
  • Angle=135°

We know

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\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}

\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)

\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π

\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π

\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π

\\ \sf\longmapsto L=\dfrac{63π}{12}

\\ \sf\longmapsto L=\dfrac{21π}{4}in

6 0
3 years ago
PLSSSSSSS HELPPPPPPPPPPPP!!!!!!!!!!!!!!!
riadik2000 [5.3K]
The answer is would be

c
7 0
3 years ago
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