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Igoryamba
3 years ago
8

Solve for x. A. x = √55 B. x = √73 C. x = 4√7 D. x = √130

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

C. x = 4√7

Step-by-step explanation:

This is a right triangle

The hypotenuse is 3+8  (the radius is 3 and the exterior length is 8)

We can use the Pythagorean theorem

a^2 +b^2 = c^2

3^2 + x^2 = 11^2

9+x^2 = 121

Subtract 9 from each side

9-9 + x^2 = 121-9

x^2 = 112

Take the square root of each side

sqrt(x^2) = sqrt(112)

x = sqrt(16*7)

x = 4 sqrt(7)

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An experiment was conducted to investigate whether there is a difference in mean bag strengths for two different brands of paper
Elanso [62]

Answer:

A two-sample t-test for a difference between sample means

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of 50 bags from each of Brand X and Brand Y was selected

Given two sample sizes n₁ and n₂

Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

mean of ounces the first sample = x⁻

mean of the  second sample =y⁻

Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

Standard deviation of the first sample = S₁

Standard deviation of the second sample = S₂

Now we use t - distribution for a difference between the means

t = \frac{x^{-}  -y^{-} }{\sqrt{S^{2}(\frac{1}{n_{1} }  +\frac{1}{n_{2} } } }

where

S^{2} = \frac{n_{1} S_{1} ^{2} +n_{2}S_{2} ^{2}  }{n_{1} +n_{2} -2 }

Degrees of freedom γ = n₁ +n₂ -2

3 0
4 years ago
A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once?
DerKrebs [107]

Answer:

B

Step-by-step explanation:

This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.

1st - 26

2nd - 25

3rd - 24

4th - 23

5th - 22

6th - 21

7th - 20

To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.

8 0
2 years ago
Read 2 more answers
Please help I do not know how to do right answer only.
lorasvet [3.4K]
Answer: X=100
Good luck
8 0
3 years ago
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Brrunno [24]

Answer:

1/3 and 1.5

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

There are 5 Multiples of 3 on the Spinner and 3 multiples of four.

5/15 is the probability for a multiple of 3 which can be simplified to 1/3

3/15 is the probability for a multiple of 4 which can be simplified to 1/5

Hope this Helps!

5 0
4 years ago
Factor. 81a36−64b16 (9a6−8b4)(9a6+8b4) (9a18−8b8)(9a18+8b8) (9a6−8b4)2 (9a18−8b8)2
DochEvi [55]
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8 0
4 years ago
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