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2 years ago

There are 287 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 34 fans?

2 answers:

4 0

9 buses.
Explanation:
We divide the number of basketball fans by the number of fans that can be accommodated by the bus. We get 8.4
Since we cannot cut the bus into 0.4 we add another bus so that everyone will get to go.
Another method is
Multiply 8 buses by 34 fans. We get 272 fans will be able to go to a game.
This means that some fans will be left by the bus but our goal is to have everyone go.
And thus we need the 9th bus to carry the remaining 15 fans

SpyIntel [72]2 years ago

3 0

Answer:

9 buses will be needed but 9 bus will be empty there will be very small amount of fans in the 9th bus.

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Paige DeMarco is the Vice President for University Advancement at State University. She is responsible for the capital campaign

boyakko [2]

Answer:

Option d (convenience sample) is the right solution.

Step-by-step explanation:

An unlikely sample wherein the investigator chooses such individuals closest and therefore most approachable for the particular investigation, would be termed as a Convenience sample.
It's a way to gather information or data with the use of sampling advantageously positioned around a place or broadband internet.

All other alternatives aren't related to the given scenario. So the above option is correct.

6 0

2 years ago

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0

3 years ago

Write the sentence as a conditional statement. Two parallel lines lie in the same plane. If two lines are parallel, then the lin

olga nikolaevna [1]

<h2>Answer:</h2>

The conditional statement is:

If two lines are parallel then they lie in the same plane.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is the statement which is written in the form of:

If p then q i.e. p → q

where p is the hypothesis of the statement.

and q is the conclusion of the statement which is based on the hypothesis.

Here we are given a statement as:

Two parallel lines lie in the same plane.

i.e. the hypothesis of the conditional statement is:

Two lines are parallel.

and conclusion is: They will lie in the same plane

( Because if two lines lie in the same plane then we can't conclude that they will be parallel )

6 0

3 years ago

Please answer my question

Brrunno [24]

ANSWER:

It is letter B. because plus the 7 and 2= 9 and we cant see a whole number so it dosent have 1 so I am very sure about my answer

3 0

3 years ago

What is the answer to these question?

Natali5045456 [20]

Answer:

2. y = 7/2 x -2

3. y = 3/4x-1

Step-by-step explanation:

points (0,-2) (4,12)

slope = (y2-y1)/(x2-x1)

slope = (12--2)/(4-0)

= (12+2)/4

= 14/4 = 7/2

the slope is 7/2 and the y intercept is -2

y = mx+b

y = 7/2 x -2

points (0,-1) (4,2)

slope = (y2-y1)/(x2-x1)

slope = (2--1)/(4-0)

= (2+1)/4

= 3/4

the slope is 3/4 and the y intercept is -1

y = mx+b

y = 3/4x-1

3 0

3 years ago