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raketka [301]
3 years ago
9

julie goes to the park across the street from her house several times a day and jogs a total of six miles every day. she jogs th

ree-fourth of a mile at a time. how many times each day does she go to the park to run?
Mathematics
1 answer:
Semmy [17]3 years ago
4 0
Julie jogs 0.75miles each time. set 'x' to represent the unknown number of times. Total distance for the day is 6 miles. So, you multiply the distance of each run 0.75 times 'x' (unknown number of runs) and set this equal to 6 miles.
0.75x = 6   (divide each side by 0.75)
8 = x 

She ran 8 times each day.
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Step-by-step explanation:

Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:

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The data below represents the number of practices each member of Nidhi's ski team attended.
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BOX plot B

Step-by-step explanation:

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In other to know which box plot correctly summarizes the data, we have to obtain the 5 - number summary statistics for the data :

Minimum = 25 (least value in dataset)

Lower quartile, Q1 = 1/4(n+1)th term = 1/4(11)th term = 2.75 th term = 29

Median, Q2 = 1/2(n+1)th term = 1/2(11)th term = (30 + 34) / 2 = 32

Upper quartile, Q3 = 3/4(n+1)th term = 3/4(11)th term = 8.25 th term = 35

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4 0
2 years ago
How many ways are there to answer a $10$-question true/false test, where at least $3$ of the questions have been answered with a
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Answer:

968 ways

Step-by-step explanation:

This is a question of permutation and combination.

<em>Each equation can have two different answers.</em>

Thus the total number of cases will be (for 10 questions) :

2*2*2*2*.....10times=2^{10} cases.

Now to find the number of ways to at least answer 3 questions False will be <em>total minus the number of question with at most 2 False answers.</em>

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Total ways (at most 2 answers false) = 1+10_C_1+10_C_2 ;

∴

<u>The number of ways in which at least 3 have False as the answer is :</u>

2^{10}-(1+10_C_1+10_C_2)\\=968 WAYS.

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Step-by-step explanation:

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