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3 years ago

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Mathematics

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AlladinOne [14]3 years ago

8 0

Answer

Explain:I got it right definitely didn't search it up

but I promise it's right

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Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Ro

gayaneshka [121]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $49.85 < \mu < 54.15$

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

The sample size is n = 30

The sample mean is $\= x = 52$

The population standard deviation is $\sigma = 6$

Given that the confidence level is 95% then the level of confidence is evaluate as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 6 }{\sqrt{30} }$

$E = 2.147$

The 95% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

substituting values

$52 - 2.147 < \mu < 52 + 2.147$

$49.85 < \mu < 54.15$

4 0

4 years ago

YES I'M BACK LOL!!!! I only have 2 more questions and I'm struggling so plz help the sum of three consecutive numbers is greater

Zanzabum

Answer:

13 and 15

Step-by-step explanation:

x + (x+1) + (x+2) > 40

3x + 3 > 40

3x > 37

x > 12.34

Therfore x= 13,15 satisfy the equation

6 0

3 years ago

Hello please help i’ll give brainliest

Tcecarenko [31]

Answer:

I believe it would be the first and the second

Step-by-step explanation:

Trees would be competing to get the sunlight, deer would be competing for mating reasons.

5 0

3 years ago

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Factor as the product of two binomials. 36+12x+x^2=

Snezhnost [94]

Answer:

(6 + x)(6 + x) = (6 + x)²

Step-by-step explanation:

Given

36 + 12x + x²

Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)

The factors are + 6 and + 6, since

6 × 6 = 36 and 6 + 6 = 12, thus

36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²

7 0

3 years ago

Why is 7.4 equal to 7.400?

Alinara [238K]

Step-by-step explanation: These two decimals are equal to each other because the zeroes in 7.400 don't change it's value.

So, after a decimal point, zeroes don't change the value of the decimal.

So we can simply drop the zeroes to see that 7.4 = 7.4.

7 0

3 years ago

Read 2 more answers