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3 years ago

2.

Mathematics

2 answers:

Anit [1.1K]3 years ago

6 0

Answer:

12 miles less

Step-by-step explanation:

18+24=42

If you walk in a L shape you walk 42 miles

If you walk diagonally:

ABC Right triangle

We have A and B (18 and 24)

Using the pythagorum theorem

a^2+b^2=c^2

18^2+24^2=C^2

324+576=C^2

900=C^2

Square root of 900=C

30=C

You would walk 30 miles

42-30=12

By walking diagonally, you would walk 12 miles less than going all the way around.

Dmitrij [34]3 years ago

4 0

Answer:

18² + 24² = x²

900 = x²

x = 30

18 + 24 = 42

42 - 30 = 12

Its shorter for 12 miles

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What is the compound interest on investing $600 for 3 years at 7% per annum?

Marysya12 [62]

Answer:

About $735.03

Step-by-step explanation:

The compound interest formula is A=P(1+r/n)^nt

P is the original amount (principal)

r is the rate

n is the number of times compounded (1 for this one since it is annual)

and t is the time compounded

5 0

3 years ago

A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend

Fiesta28 [93]

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

5 0

3 years ago

A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th

taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0518

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

$n = 27, s = 21.4$ . So

$M = 2.0518\frac{21.4}{\sqrt{27}}$

$M = 8.45$

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0

3 years ago

The sum of 2 numbers is 44 the smaller number is 16 less than the larger number what are the numbers

Anon25 [30]

X=27 and y=11
if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11

4 0

3 years ago

Carlos and Mike work part time as salespeople for an electronics store. Carlos earns $7.25 per hour plus a $10 bonus. Mike earns

galina1969 [7]

Carlos and Mike earn same amount for 10 hours of part time work

Solution:

Let "x" be the number of hours worked by Carlos and mike

Given that,

Carlos earns $7.25 per hour plus a $10 bonus

Thus, total amount earned by Carlos for "x" hours is given by:

total earned = 7.25(number of hours) + $ 10

total earned = 7.25x + 10 ----- eqn 1

Mike earns $7.75 per hour plus a $5 bonus

Thus, total amount earned by Mike for "x" hours is given by:

total earned = 7.75(number of hours) + $ 5

total earned = 7.75x + 5 ------- eqn 2

To find number of hours, they earn same amount, equate eqn 1 and eqn 2

7.25x + 10 = 7.75x + 5

7.75x - 7.25x = 10 - 5

0.5x = 5

x = 10

Thus for 10 hours, they earn the same amount

3 0

3 years ago