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faust18 [17]
2 years ago
9

If the rate 130 miles per 2 hours is reduced to a unit rate, the result is

Mathematics
1 answer:
sammy [17]2 years ago
3 0

Answer:

65 miles every 1 hour

Step-by-step explanation:

Unit rate is found once one of the units is 1. In this case we need to reduce the ratio so that it is 1 hour and we get a unit rate. We can do this by dividing both sided by 2 so that the hours are reduced to 1.

130=2

130/2=65                2/2=1

65=1

65 miles every hour

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Answer:

              \bold{x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\quad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7}

Step-by-step explanation:

-2x^2-3x+4=0\\\\a=-2\,,\ b=-3\,,\ c=4\\\\\\x=\dfrac{-b-\sqrt{b^2\pm4ac}}{2a}=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(-2)(4)}}{2(-1)}=\dfrac{3\pm\sqrt{9+32}}{-2}\\\\\\x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\qquad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7

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2 years ago
Ms. Allgood donated 63 books to her class. She would like to provide an equal number of books to each of her 9 students. How man
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The awnser is 7 books per student

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3 years ago
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A research team is testing whether a fuel aditive increases a car's gas mileage. The maker of the additive claims that the addit
Thepotemich [5.8K]

Answer:

Yes  there is sufficient evidence to  reject the company's evidence

Step-by-step explanation:

From the question we are told that  

   The sample size is  n =  25

    The mean is  \= x = 5.3 \ mpg

     The standard deviation is  \sigma = 1.8 \  mpg

    The z-score is  z = -1.94

The null hypothesis is  H_o : \mu = 6 \ mpg

The alternative hypothesis is  H_a :  \mu \ne 6

 Generally the p-value is mathematically evaluated as  

           p-value   =  2 * P( Z

From the z table  the area under the normal curve to the left corresponding to    -1.94  is

         P( Z

=>  p-value   =  2 * 0.02619

=>  p-value   =  0.052

Let assume the level of significance is  \alpha = 0.05

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Fail to reject the null hypothesis

The conclusion is

 There is sufficient evidence to  reject the company's evidence

 

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Answer:

Step-by-step explanation:

SIDE OF THE SQUARE = 6 cm = DIAMETER OF THE CIRCLE.

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or

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by calculation we get the area of the circle is 28.26 cm^2

Where pi is a constant of 22/7 or 3.14

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3 years ago
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