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Solnce55 [7]
2 years ago
10

1. When Aaron runs the 400 meter dash, his finishing times are normally distributed with a mean of 80 seconds and a standard dev

iation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of his finishing times in the 400 meter race.
​
Mathematics
1 answer:
Alex Ar [27]2 years ago
6 0

Answer:

(72.5,87.5)

Step-by-step explanation:

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What is 6.9 to the nearest 10th
Dvinal [7]
The number 6.9 is already rounded to the nearest tenth.
5 0
3 years ago
Nancy is making lemonade for her birthday party. She made 6 batches. Each batch of lemonade uses 24 fluid ounces of lemon juice
Goryan [66]

Answer:

Step-by-step explanation:

1 Us pint = 16 Us fluid ounces

It means that 8 pints of water would be

8 × 16 = 128 fluid ounces

Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is

128 + 24 = 152 fluid ounces

Also,

1 fluid ounce = 0.125 Us cups

Therefore, the number of cups made is

152 × 0.125 = 19 cups

If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19

servings. The number of batches made is 6. Therefore, the number of servings made altogether is

6 × 19 = 114

If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is

114/2 = 57 servings

7 0
2 years ago
The hour hand on a clock is 4 cm long, and the minute hand is 10 cm long. What is the exact distance between the tips of the han
Allushta [10]

Answer:

2 sqrt(19)

Step-by-step explanation:

We know that the angle between the two hands

360 /12 *2 = 60 degrees

We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12

This is a triangle where we know 2 sides and the angle between them.

We can use the law of cosines to determine the third side

c^2 = a^2 + b^2 -2abcosC

Where C is the angle between sides a and b

a =4 and b = 10  C = 60  and we are looking for side c

c^2 = 4^2 + 10^2 -2*4*10 cos60

c^2 =16+100 - 80cos 60

c^2 = 76

Take the square root of each side

sqrt(c^2) = sqrt(76)

c = sqrt(76)

c =sqrt(4) sqrt(19)

c =2 sqrt(19)


4 0
2 years ago
What is a reasonable estimate for the problem ? -3/2 multiply by ( -5 1/4 )
Nat2105 [25]
= -3/2 * -5 1/4
convert 5 1/4 to improper fraction

= -3/2 * -21/4
multiply numerators; multiply denominators

= (-3*-21)/(2*4)
multiply in parentheses

= 63/8
convert back to mixed number

= 7 7/8


ANSWER: Since the exact answer is the mixed number 7 7/8, a reasonable estimate is 8.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
Helpppppppppppp plz <br> I will give brainlist
Olin [163]

Answer:

general sherman is the biggist

Step-by-step explanation:

grant and sherman - 5900

washington and sherman -4650

8 0
2 years ago
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