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2 years ago

Can somebody help me?

Mathematics

1 answer:

babymother [125]2 years ago

3 0

Answer:

15% markdown

Step-by-step explanation:

In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:

$\frac{828.75}{975}$

with this fraction, we're going to multiply it by 100, with an equation looking like this,

$\frac{828.75}{975}$ × $\frac{100}{1}$

once we multiply(typically using a calculator, though manually is possible of course) we get 85.

In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75

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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

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Hence, John's distance from the tower's base is 18.7939 m

8 0

3 years ago

The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per

Leya [2.2K]

Answer:

a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88

b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

Step-by-step explanation:

a. According to the given data we have the following:

Buffalo residents mean=22.5

Standard deviation=8.4

n=50

Boston residents mean=18.6

Standard deviation=7.4

n=40

Hence, the point estimate is the difference of the means=22.5-18.6=3.9

The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67

Therefore, the difference of miles=n1+n2-2=50+40-2=88

The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.

b. The critical value of t at 95% confidence level and DoF=88 is 1.987

The interval:(x1-x2)+ (critical value* std error)

=3.9-(1.987*1.67),3.9+(1.987*1.67)

Difference between mean=(0.58171,7.21829)

The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

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2 years ago

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soldier1979 [14.2K]

Answer:

6 km

Step-by-step explanation: