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3 years ago

Thank you so much if you answer! I appreciate it! :) (Ill give brainliest for the correct answer)

Mathematics

2 answers:

iVinArrow [24]3 years ago

7 0

Answer:

I hope its right this time :)

VikaD [51]3 years ago

3 0

Hi there!

$\large\boxed{B}$

Given the expression:

x > 3

The "greater than" sign used does not contain a "or equal too: ≥", so we must use an open point at x = 3.

The expression represents any x value GREATER than 3, therefore:

B is the correct answer.

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4 years ago

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A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the

Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age = 25 years

$\sigma$ = population standard deviation = 1.8 years

n = sample of students = 36

$\mu$ = population average age

So, 98% confidence interval for the average age, $\mu$ is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < 2.3263) = 0.98

P( $-2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < ${\bar X - \mu}$ < $2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

P( $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ , $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ]

= [ $25 - 2.3263 \times {\frac{1.8}{\sqrt{36} }$ , $25 + 2.3263 \times {\frac{1.8}{\sqrt{36} }$ ]

= [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0

3 years ago

What expression represents the product of 3 less than twice x and 2 more than the quantity 3 times x?

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"3 less than twice 'x' " . . . . that's (2x - 3)

" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)

Their product is
(2x - 3) (3x + 2) .

If you want to expand it to a single expression, perform the multiplication,
and you have
6x² - 5x - 6 .

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3 years ago

The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each studen

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Answer:

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