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Yuri [45]
3 years ago
13

PLEASE HELPPPPPPPPPP!!!!!!!!!

Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

11a^2b^8

Step-by-step explanation:

Rule 1: The coefficient (121 in this case) has it's square root taken to derive the side.

Rule 2: If a variable with a power is part of the area of  a square, then just divide the power by two

The square root of 121 = 11

The square root of a^4 = a^(4/2) = a^2

The square root of b^16 = b^(16/2) = b^8

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

so

    p  \ge 0.01

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

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

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

4 0
3 years ago
Look at the picture! Express the following set in set-builder notation ?
Alex

Answer:

A.   E={x|x\in N and x is a multiple of 8}

Step-by-step explanation:

Let x represent the set of natural numbers. Then we can write;

x\in N.

The set of all natural numbers that are multiples of 8 is then written as;

x\in N and x is a multiple of 8.

E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;

E={x|x\in N and x is a multiple of 8}

The correct choice is A

7 0
4 years ago
At the skating rink, 6 out 10 skaters were able to skate under the limbo bar. Which names the fraction of skaters who were not a
Tasya [4]
2/5 because 10/10 minus 6/10 equals 4/10 which reduces to 2/5
7 0
3 years ago
Which sides are congruent in the diagram below?
Vikki [24]

Answer: The first option (A)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Two angles are complementary. One of the angles is twice the other.
sergiy2304 [10]
Two complementary angles must add to 90 degrees, and if you divide 90 into thirds (two parts for the larger angle, one for the smaller), then you get 30 degrees.

If the smaller angle is 30 degrees, then the larger is two times that, which is 60. 60 + 30 = 90, so the larger angle is equal to 60 degrees.
5 0
3 years ago
Read 2 more answers
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