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Charra [1.4K]
2 years ago
15

Determine which point is the solution to the given system.

Mathematics
1 answer:
lianna [129]2 years ago
5 0

Answer:

WHAT UP

Step-by-step explanation:

DO THIS AND THAT LOL

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The diameter of holes for a cable harness is known to have a normal distribution with a standard deviation of 0. 01 inch. A rand
Sindrei [870]

For the given standard deviation and sample mean the two sided confidence interval on mean diameter foe 95% and 99% is given by        ( 1.4983 , 1.5107 ) and ( 1.49635 , 1.51265 ) respectively.

As given in the question,

Confidence interval for population mean is given by:

\bar{x} ± z × ( σ / √n)

Where,

σ = population standard deviation.

n= sample size

\bar{x} = Sample mean

Given values from the random sample size are :

σ = 0.01 inches

n= 10

\bar{x} = 1.5045

Critical value confidence interval (using x-value table)

z  for 99% = 2.576 and Significance level = 0.01

z for 95% = 1.960 and Significance level = 0.05

99% two-sided confidence interval on the mean hole diameter is equal to :

\bar{x} ± z × ( σ / √n)

= 1.5045 ± 2.576 × ( 0.01 / √10)

= 1.5045 ± 0.00815 (approximately)

= 1.5045 - 0.00815 , 1.5045 + 0.00815

= ( 1.49635 , 1.51265 )

95% two-sided confidence interval on the mean hole diameter is equal to :

\bar{x} ± z × ( σ / √n)

= 1.5045 ± 1.960 × ( 0.01 / √10)

= 1.5045 ± 0.00620 (approximately)

= 1.5045 - 0.00620 , 1.5045 + 0.00620

= ( 1.4983 , 1.5107 )

Therefore, for the given standard deviation and sample mean the two sided confidence interval on mean diameter foe 95% and 99% is given by ( 1.4983 , 1.5107 ) and  ( 1.49635 , 1.51265 ) respectively.

Learn more about standard deviation here

brainly.com/question/16555520

#SPJ4

4 0
11 months ago
Find all solutions to 5cosθ = 3cosθ - 1.
IrinaVladis [17]
Hello : 
<span>5cosθ = 3cosθ - 1.   
</span><span>5cosθ - 3cosθ = 1.
2cos</span>θ =1
cosθ =1/2
all solutions : 
 cosθ =cos<span>π<span>/3
</span></span>all solutions :
θ =π/3 +2kπ     or θ = - π/3 +2kπ ....k in Z

6 0
3 years ago
Find the sum of the measures of Angle A, Angle B, Angle C and Angle D.
12345 [234]

Answer:

Q:

my problem is this. Solve the problem.The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger t…

A:

In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger than each of the other two angles. Find the measure of angle Step-by-step explanation:

Find the measures of angles A, B, and C in triangle ABC, if measure of angle B = 5 times the measure of angle A measure of angle C = measure of angle A + 110

✓ A + B + C = 180 A + 5A + A+110 = 180

4 0
2 years ago
2 1/2 times (-3 3/4)
serious [3.7K]

Answer:

-9.375

Step-by-step explanation:

2 1/2 x (-3 3/4) = -9.375

3 0
2 years ago
Read 2 more answers
Steve has at most $80 to spend at a store. He wants to buy a movie that costs $22. He also wants to buy DVDs that cost $7.00 eac
Degger [83]

Answer:

80 is less than or equal to 22+7x

8 DVDs

Step-by-step explanation:

I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath

80 is less than or equal to 22+7x

subtract 22

58 is less than or equal to 7x

divide and flip the sign to the right

x is greater than or equal to 8.29

so he can buy 8 DVDs in total

5 0
3 years ago
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