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AlekseyPX
3 years ago
9

How high up does the ladder reach

Mathematics
1 answer:
denpristay [2]3 years ago
5 0
Use the Pyth. Thm.

14^2 = 9^2 + y^2.  Solve this for y and round off to the nearest 2 decimal places.

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If you double the lengths of a rectangle what can you say about the new area of it.
Natasha_Volkova [10]

Answer:

The answer is B: The area of the new rectangle is double it's original size

5 0
3 years ago
Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8
drek231 [11]

Answer:

95% Confidence interval:  (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, \bar{x} = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)

(96.06,103.94) is the 95% confidence interval for  the population mean test score.

8 0
3 years ago
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 5 h
kogti [31]

v=d/t

44=d/5

d=220 mile

v=220/11

v=20 mph

7 0
2 years ago
688×29=<br>how to do this step by stwp
laila [671]

688

x 29

  6192  

1376 x  

19952


So you start by taking 9 from 29 and multiplying it by 688. when you get the answer put it below the line. then multiply the 2 from the 29 and whne you get the answer put a zero on the end and then add the answer you got from 9x688  (6192) and 2x688 (13760) and then thats youre answer. hope it helps!

8 0
3 years ago
The leopard population in an African wildlife area is currently 17. Due to a new conservation effort, conservationists hope the
kykrilka [37]

Answer:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

Step-by-step explanation:

This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:

a{_n} = a{_1} + (n - 1)d where a_n is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.

Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.

Since they increase by 4 yearly, then the common difference is 4.

Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

8 0
3 years ago
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