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Igoryamba
3 years ago
8

Any help? its the Pythagorean Theorem

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

x = \sqrt{13} or 3.61 to 3 significant figures

Step-by-step explanation:

First find CD which is \sqrt{5^{2}-3^{2}  } = 4

6 - 4 = 2 which is FC

so do \sqrt{2^{2}+3^{2}  } = \sqrt{13} or 3.61 to 3 significant figures

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A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

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 = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.8982

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.

Standard deviation of 0.55 meters.

This means that s = 0.55

What is the margin of error for her 99% confidence interval?

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

M = 2.8982\frac{0.55}{\sqrt{18}}

M = 0.3757

The margin of error for her confdence interval is of 0.3757.

7 0
3 years ago
Write 50/6 as a mixed number. Give your answer in its simplest form.
DochEvi [55]

Answer:

8 1/3

Step-by-step explanation:

Step 1: Simplify

50/6 = 8 2/6

Step 2: Simplify fraction

2/6 = 1/3

Step 3: Add it up

8 1/3

5 0
3 years ago
Read 2 more answers
Y=2x-pq rearrange the formula to make x the subject
professor190 [17]
Y=2x-pq
2x=y+pq
x=(y+pq) / 2

7 0
4 years ago
Marco needs to buy some cat food. At the nearest​ store, 6 bags of cat food cost ​$28.50. How much would Marco spend on 5 bags o
olga55 [171]

Answer:

$23.75

Step-by-step explanation:

divide $28.50 by 6 to find the price for 1 bag which is $4.75 then multiply $4.75 by 5 and that equals $23.75

3 0
3 years ago
Read 2 more answers
A lawn is in the shape of a trapezoid with a height of 7070 feet and bases of 4040 feet and 160160 feet. how many full bags of f
Leni [432]
Area of the trapezium = 1/2 (40 + 160) x 70
Area of the trapezium = 7000 ft²

One bag of fertilizer = 4000 ft²

Number of bags of fertilizer needed  = 7000 ÷ 4000 = 1.75 bags.

Since only full bags of fertilizer can be bought, 2 bags of fertilizer are needed.

------------------------------------
Answer: 2 bags of fertilizer
------------------------------------

7 0
4 years ago
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