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MakcuM [25]
2 years ago
7

Write 1001 as the product of it prime factors

Mathematics
2 answers:
Triss [41]2 years ago
4 0

Answer:

7 x 11 x 13

Step-by-step explanation:

               1001

             /        \

           11         91

                     /     \

                  7        13

1001 = 11 x 7 x 13

sukhopar [10]2 years ago
3 0

Answer: 7 × 11 × 13 = 1001

Step-by-step explanation:

Solution: Since, the prime factors of 1001 are 7, 11, 13. Therefore, the product of prime factors = 7 × 11 × 13 = 1001.

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If a dog is running 25 feet per second, how far will he travel after 1 minute of running?
PIT_PIT [208]

Answer:

1500 feet

Step-by-step explanation:

In 1 sec= 25 feet

In 1 minute= 60 seconds= 25*60 feet

= 1500 feet.

8 0
3 years ago
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An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
What radius of a circle is required to inscribe a regular hexagon with an area of 166.28 in2 and an apothem of 6.928 in?
Lunna [17]
If you want to inscribe a polygon inside a circle, you have a formula that doesn't have to use the apothem. The formula is:

A = (nr²/2)sin(360/n)

Since the polygon is a hexagon, it has 6 sides. Thus, n = 6. Knowing the area, we can determine the radius of the circle, r.

166.28 = (6r²/2)sin(360/6)
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7 0
3 years ago
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a park is shaped like a rectangle with a length 5 miles it's width w. what is a simplified expression for the distance between o
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Let the distance between the two corners be AB.

Now, according to the pythagoras theorum,

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A rabbit and a turtle run 100 meters. When the rabbit finished, the turtle was behind by 80 meters. Next time they want to finis
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From the fraction solved, the distance that the rabbit should be behind the turtle will be 400 meters.

<h3>How to solve the distance</h3>

From the information, it was stated that a rabbit and a turtle run 100 meters and that when the rabbit finished, the turtle was behind by 80 meters. Therefore, the distance covered by the turtle will be:

= 100 - 80

= 20 meters

Therefore, the fraction of their distance will be:

= 20/100 = 1/5

Therefore, the number of meters behind the turtle that the rabbit should start will be:

= 80 × 5

= 400 meters.

Learn more about distance on:

brainly.com/question/2854969

3 0
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