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vladimir2022 [97]
3 years ago
12

The average time for 100-meter race that Usain Bolt used is 9.6 seconds on average. He wants to test whether his speed has decre

ased or not. His speed was tested for 16 times, and the average time is 9.7 seconds. Assume the population standard deviation is 0.1 second. At a 5% significance level, the decision is to _________.
Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

At a 5% significance level we reject the Null hypothesis H_0

Step-by-step explanation:

From the question we are told that:

Distance d= 100

Mean \mu=9.6

Sample size n=16

Sample mean \=x=9.7

Standard deviation \sigma= 0.1

significance level \alpha=5%=>0.05

Generally the Hypothesis is mathematically given by

 H_0=\mu=9.6

 H_a=\mu=9.6

Generally the equation for t test statistics is mathematically given by

 t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }

 t=\frac{9.7-9.6}{\frac{0.1}{\sqrt{16} } }

 t=4

Therefore P-Value from table

 P-Value=0.000

 \alpha>P-value

Therefore

At a 5% significance level we reject the Null hypothesis H_0

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igor_vitrenko [27]

Answer:

1.3 * 10^5

Step-by-step explanation:

8 0
2 years ago
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4) (Assume AR is tangent)<br>Given: AR 12<br>SR - 7.7<br>Find: cs (Round to nearest tenth.)​
andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

6 0
3 years ago
What is f(x)=2(3)^x?
HACTEHA [7]

Answer:

This is an exponential function

Step-by-step explanation:

f(x)=2(3)^x is one example of the exponential function.  Since f(0) = 2(1) = 2, the y-intercept is (0, 2).  The x-axis is the horizontal asymptote.  The graph begins in Quadrant II, passes through (0, 2) and continues to increase, faster and faster, in Quadrant I.  Next time, please be more specific about what you'd like to know.

4 0
2 years ago
Help once more please
REY [17]

Answer:

84

Step-by-step explanation:

they are all equal sides so what you'd do is 28+28+28= 84

5 0
3 years ago
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Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate
Oliga [24]

Answer: Im not sure but i think its 120,960

Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.

4 0
2 years ago
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