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liubo4ka [24]
3 years ago
14

Two friends leave school at the same time, sarah is heading due north and beth is heading due east. One hour later they are 10 m

iles apart. If sarah traveled 8 miles from the school, how many miles had beth traveled?

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

The value of distance traveled by the beat = 6 miles

Step-by-step explanation:

From Δ ABC

AC = distance between two persons after one hour = 10 miles

AB = Distance traveled by sarah = 8 miles

BC = Distance traveled by beth = x miles

From pythagoras theorm

AC^{2} = AB^{2} + BC^{2}

10^{2}  = 8^{2}  + x^{2}

x^{2} = 100 - 64

x^{2}  = 36\\

x = 6 miles

This is the value of distance traveled by the beat.

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In a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this grou
katovenus [111]

Answer:

0.3875

Step-by-step explanation:

Given that in a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this group selected hiking as their favorite outdoor activity whereas 35% of the women in the group selected hiking as their favorite outdoor activity

From the above information we find that

P(Men) = 0.75 and P(women) = 0.25 (since men:women = 3:1)

Out of men prob for not selecting hiking as their favorite outdoor activity

=1-0.6 = 0.4

Out of women prob for not selecting hiking as their favorite outdoor activity

=1-0.35 = 0.65

Prob for a randomly selected person that hiking is not his/her favorite outdoor activity = Prob (man and not selected activitiy) + P(women and not selected activity) (since men and women are mutually exclusive and exhaustive)

=0.75(0.4)+0.25(0.35)\\= 0.30+0.0875\\\\=0.3875

6 0
3 years ago
For a school picnic, leslie ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 60 cookies in all. 15 of
OlgaM077 [116]

Answer:

Pretty sure 25%.

Step-by-step explanation:

First, you would need to see how many times 60 goes into 100, because a percent is ALWAYS over 100. You should get an answer of 1.66666667. Then you if you multiply it to one of the numbers then you have to do it to the other number. So, you would do 15 times 1.66666667. You would get 25. So, that would be 25 over 100 or 25/100. And 25 over 100 is 25%.

I hope I helped! :) Sorry if it's wrong :(

5 0
2 years ago
What is ​ BC ​?
gtnhenbr [62]

BC = 18

AB = AC, hence

8x - 4 = 5x + 11 ( subtract 5x from both sides )

3x - 4 = 11 ( add 4 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

BC = 4x - 2 = (4 × 5 ) - 2 = 20 - 2 = 18


3 0
3 years ago
Which line represents a graph with a slope of 1/3?
kotegsom [21]
Option 3 should be correct. Use rise over run.
5 0
2 years ago
Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a differenc
Anettt [7]

Answer:

Z=11.0

Step-by-step explanation:

Let Caucasian individuals be the population 1 and African American be the population 2. So, we are given that

n=150

n1=75

mean1=xbar1=6.1.

standard deviation1=S.D1=σ1=1.1.

Variance1=V(x1)=σ1²=1.1²=1.21.

n2=75.

mean2=xbar2=4.3.

standard deviation2=S.D2=σ2=0.9.

Variance2=V(x2)=σ2²=0.9²=0.81.

The z-statistic is

Z=\frac{xbar1-xbar2}{\sqrt{\frac{V(x1)}{n1}+ \frac{V(x2)}{n2} } }

Z=\frac{6.1-4.3}{\sqrt{\frac{1.21}{75}+ \frac{0.81}{75} } }

Z=\frac{1.8}{\sqrt{0.0161+ 0.0108 } }

Z=\frac{1.8}{\sqrt{0.0269 } }

Z=\frac{1.8}{0.164 } }

Z=10.97

Z=11.0

So, the z value obtained while calculating the test statistic is approximately 11.0.

4 0
2 years ago
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