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swat32
3 years ago
11

A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o

f her races were 10- kilometer races how many of her races were 10- kilometer races?
Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer:

32*15 = 480

1500-480 = 1020

1020/10

102 races

Step-by-step explanation:

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Round 845,152 to the nearest ten thousand.
VMariaS [17]

Answer:

850000

Step-by-step explanation:

0\/4,round down.

5/\9,round up

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Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your w
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5=x^2+13
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Help me with this problem please
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3 years ago
A researcher collects data on the number of times race horses are raced during their careers. The veterinarian finds that the av
vesna_86 [32]

Answer:

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

Step-by-step explanation:

<u>Explanation</u>:-

The veterinarian finds that the average number of races a horse enters is 15.3

The mean of the sample x⁻ = 15.3

Given standard deviation of the sample 'S' = 6.8

Given sample size 'n' = 25

Degrees of freedom = n-1 =25-1 =24

The tabulated value 't' = 2.064 at two tailed test 0.95 level of significance

<u> 95% confidence for µ, the average number of times a horse races</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +  t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u></u>(15.3- 2.064 \frac{6.8}{\sqrt{25} } , 15.3 +  2.064\frac{6.8}{\sqrt{25} } )<u></u>

(15.3 - 2.80704 ,15.3 +2.80704)

(12.493 , 18.107)

<u>Conclusion</u>:-

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

3 0
3 years ago
A bakery uses 10 1/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake
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Answer:   40\dfrac{4}{5}\text{ ounces}

Step-by-step explanation:

Given : The amount of icing used for every \dfrac{1}{4} of a cake = 10\dfrac{1}{5}\text{ ounces}

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To find the unit rate in ounces of icing per cake, we need to divide \dfrac{51}{5} by  \dfrac{1}{4} , we get

The unit rate in ounces of icing per cake = \dfrac{51}{5}\div\dfrac{1}{4}

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Hence, the unit rate in ounces of icing per cake = 40\dfrac{4}{5}\text{ ounces}

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