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inysia [295]
2 years ago
9

A local weather enthusiast wants to see if the last five summers have been warmer than normal for Eloy, Arizona. From the Nation

al Oceanic and Atmospheric Administration (NOAA), he knows the 30-year average for July was 90° with a standard deviation of 2.1°. The last five summers recorded have an average of 93.5°. If he uses a = 5%, which of the following would be valid based on the data he has gathered?
Mathematics
2 answers:
lys-0071 [83]2 years ago
5 0

Answer:


Step-by-step explanation:

This is a question on hypothesis testing.

Population mean based on 30 year average for July was 90 with

a std deviation of 2.1

Sample of 5 shows average 93.5

To check whether sample average = population average

H0: x bar =90

Ha: x bar not equal 90(Two tailed test)

Test statistic = \frac{93.5-90}{\frac{2.1}{\sqrt{5} } }

=3.73

Since this lies outside the range (-1.96, 1.96) we reject null hypothesis

Hence we cannot say sample mean equals 90

Viefleur [7K]2 years ago
3 0

Answer:

D

Step-by-step explanation:

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The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

D= 24

Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0
2 years ago
In a day, Robin spends 6 hours at school, sleeps for 9 hours, plays for 3 hours, and spends the rest of the time doing other thi
slavikrds [6]
6hrs = school
9hrs = sleeps              = 18hrs // 24hrs      ----6hrs left
3hrs = plays

6hrs = other things


playing = 12.5% -- 3/24                 3/24*100
other things = 25% -- 6/24             6/24*100
5 0
2 years ago
Read 2 more answers
In a bike race: Julie came in ahead of Roger. Julie finished after James. David beat James but finished after Sarah. In what pla
mel-nik [20]

write it out in the order they give

Julie , Roger

James , Julie, Roger

David, James, Julie, Roger

Sarah, David, James, Julie, Roger

David is in 2nd place

5 0
2 years ago
In a particular city, 82% of the residents have a desktop computer, 47% have a desktop computer and a laptop computer, and 3% ha
vagabundo [1.1K]

Answer:

B) 0.57

Step-by-step explanation:

Let's define:

  • A: the home has a laptop
  • B: the home has a desktop computer.

Data

  • P(B) = 0.82
  • P(A∩B) = 0.47

We want to find the probability that a home has a laptop given that it has a  desktop computer, that is, P(A|B).

P(A|B) = P(A∩B)/P(B) = 0.47/0.82 = 0.57

3 0
2 years ago
Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the
natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.  

In order to triangle JKM be a right triangle KM^{2}=JK^{2}+JM^{2}.

We will find length of side KM using our right triangles JLM and JLK as KM=KL+LM.  

Using Pythagorean theorem in triangle JLM we will get,

LM=\sqrt{JM^{2}-JL^{2}}

LM=\sqrt{8^{2}-5^{2}}

LM=\sqrt{64-25}

LM=\sqrt{39}=6.244997998\approx 6.24

Now let us find length of side KL.

KL=\sqrt{JK^{2}-JL^{2}}  

KL=\sqrt{13^{2}-5^{2}}

KL=\sqrt{169-25}

KL=\sqrt{144}=12

Now let us find length of KM by adding lengths of KL and LM.

KM=12+6.24=18.24

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

KM^{2}=JK^{2}+JM^{2}  

18.24^{2}=13^{2}+8^{2}

18.24^{2}=169+64

18.24^{2}=233

Upon taking square root of both sides of equation we will get,

18.24\neq 15.264337522473748

18.2\neq 15.3  

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.    

6 0
2 years ago
Read 2 more answers
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