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zaharov [31]
3 years ago
10

A cheetah can run at a rate 105,600 yards per hour. Find the number of miles the cheetah could run at this rate in 5 minutes?

Mathematics
1 answer:
musickatia [10]3 years ago
5 0
\frac{105600 yd}{1 h} \times (5 min) \times \frac{1 h}{60 min} \times \frac{1 mi}{1760 yd} = \frac{105600 \times 5}{60 \times 1760} mi = 5 mi
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A triangle has sides with lengths of 24 meters, 45 meters, and 49 meters. Is it a right triangle?
Naya [18.7K]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Use the Pythagorean Theorem to determine if these sides are sides of a right triangle.

a^{2}+b^{2}=c^{2}

Plug in your length sides. Have the longest side represent your c variable.

a= 24

b= 45

c= 49

Solve for the equation.

24^{2}+45^{2}=49^{2}

576+2025= 2401

2601=2401

These side lengths in a triangle are not a right triangle because 2601 does not equal 2401.

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3 years ago
he Boston public school district has had difficulty maintaining on-time bus service for its students. Suppose the district devel
Sergeu [11.5K]

Answer:

Fail to reject the null hypothesis.

Step-by-step explanation:

The hypothesis test is conducted for Boston public school. They have used z-value table and the value of test statistics is 1.20. AT the significance level of 0.05, the null hypothesis is accepted. We cannot reject the null hypothesis. The p-value is greater than alpha so there is no evidence to support the claim of Boston Public School.

4 0
4 years ago
Which expression does not represent the sum of n and 6
Aleksandr-060686 [28]

Answer:

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3 0
3 years ago
a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the
Arada [10]

Complete Question

A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.

Answer:

The  value  of the 16th percentile  is  x = 20

The range for the middle 3 standard deviation is  10 \to 40

Step-by-step explanation:

From the question we are told that

     The  mean is  \mu  =  25

     The  median is  m  =  24

     The  mode is  n =  26

     The  standard deviation is  \sigma  =  5

Generally the 16th percentile is mathematically represented as

  P(x)= P(\frac{X  -  \mu }{ \sigma }   \le \frac{x- 25 }{5} ) = 0.16[/teGenerally  [tex]\frac{X -  \mu}{\sigma }  =  Z(The  \  standardized \  value \ of  \ X  )

So

       P(x) =  P(Z \le \frac{ x -  25}{5} ) =  0.16

Now from the normal distribution table  the z-score of  0.16 is  

      z =  -1

       P(x) =  P(Z \le \frac{ x -  25}{5} ) =  P(Z \le -1 )

=>  \frac{x- 25}{5}  =  -1

=>    x- 25  =  -5

=>      x =  25-5

=>       x = 20

The range for the middle 3 standard deviation is mathematically represented

        \mu  -  3\sigma \to \mu + 3\sigma

        25 -  3(5 ) \to 25 +  3(5 )

         10 \to 40

 

   

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3 years ago
on the playground 1/4 kids are on the jingle gym and 1/3pm are playing kick ball.how many kids are on the jungle gym or playing
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1/12 kids are playing on the playground
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3 years ago
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