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Radda [10]
3 years ago
13

Usain Bolt ran the 2012 Olympic 100-meter race in 9.63 seconds. If he runs at this rate on a road with a speed limit of 25 miles

per hour, how will his speed compare to the speed limit? Justify your answer. (25 mi/hr = 40,234 meters/hr)
Mathematics
2 answers:
djverab [1.8K]3 years ago
6 0

Answer:

3874.5342

Step-by-step explanation:

9.63 divide by 100 = 0.0963

0.0963x40 234= 3874.5342

Klio2033 [76]3 years ago
6 0

Answer:

Step-by-step explanation:

The speed limit is about 11.2 meters per second. Usain is running 10.38 meters per second. So he is running slower than the speed limit.

100 m / 9.63 s = 10.38 m/s

He ran at about 10.38 m/s.

10.38 m/s = 37,368 m/hr

(40,234 m/hr) / (3600 s/hr) = 11.2 m/s

The speed limit is about 11.2 m/s.

His speed will be less than the speed limit.

Wasabi
2 years ago
Thanks helped alot.
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A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Ca
Igoryamba

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

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= 80%

4 0
3 years ago
An angle is created from points C, A, and B with vertex A. An arc is drawn from point A and intersects rays AC and AB. The inter
Minchanka [31]

Answer:

Bisecting an angle ⇒ answer a

Step-by-step explanation:

* <em>Lets revise the steps of bisecting an angle</em>

- <em><u>How to construct a bisector of angle XYZ</u></em>

1. Open the compass to any width, and place its pin at the angle’s

   vertex Y and draw an arc cuts the two rays of the angle YX and YZ

   at two points M and N respectively

2. Open the compass to another width and place its pin at M and draw

    an arc between the two rays YX and YZ

3. Without changing the width of the compass place its pin at N and

   draw another arc intersects the arc from M at point Q

4. Join YQ which is the bisector of angle XYZ

* <em>Now lets compare these steps by the steps of the question</em>

∵ The vertex of the angle ABC is A represented by Y

∵ The rays of the angle AC and AB represented by YX and YZ

∵ Points D , E represented by points M , N

∴ The construction is " Bisecting an angle "

7 0
3 years ago
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
Pie

Answer:

a

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

b

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

c

Yes it  involves a statistical test

The population parameter(s) of interest is  

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

Here \mu_R is the average reaction time of the right hands for the right-handed participants

and  \mu_L is the average reaction time of the left hands for the left-handed participants

Considering third statement  

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

3 0
3 years ago
A method of solving a system of equations in which one variable is replaced by an expression using the other variable as a repre
Tanya [424]
I believe it is referred to as The Substitution Method.
3 0
4 years ago
Read 2 more answers
Pizza House offers 2 different salads, 3 different kinds of pizza, and 5 different
bazaltina [42]

Answer:

the number of different three course meals that can be ordered equals 45

Step-by-step explanation:

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In selecting pizza's we have 3 different choices

IN selecting dessert's we have 3 different choices

Thus the total number of choices to order the meal is

5 x 3 x 3=45.

Thus the number of different three course meals that can be ordered equals 45.

4 0
3 years ago
Read 2 more answers
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