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4 years ago

Which expression is equivalent to x^2 + 4x^2 - 45?

Mathematics

1 answer:

Misha Larkins [42]4 years ago

4 0

Answer:

5 ( x + 3 ) ( x − 3)

Step-by-step explanation:

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The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either

kifflom [539]

Hey there,

To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order. If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median. While the Rome data is nice and symmetrical, it does not seem to have an outlier, so we can use the mean for this data set.

Therefore the answer is:

The Rome data center is best described by the mean. The New York data center is best described by the median

Hoped I Helped

6 0

4 years ago

Read 2 more answers

Find cot theta if csc theta = <br><br>sqrt17/4 and tan theta >0.

Lorico [155]

Answer:

$tan \theta = 4$

Step-by-step explanation:

We know that

$cosec \theta = \frac{hypotenuse }{opposite }$

Given :

$cosec \theta =\frac{\sqrt{17}}{4}\\$

So 4 is the opposite side of theta.

$tan \theta = \frac{opposite}{adjacent}$

We use the Pythagorean theorem to find for the adjacent side.

$a = \sqrt{17 - 4^2} = \sqrt{17-16} = 1$

$Therefore, \ tan \theta = \frac{4}{1} = 4$

7 0

3 years ago

With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consum

Mariulka [41]

Step-by-step explanation:

Mean = 81740

Standard deviation = 4590

Sample size = 15

Alpha level = 1-0.95 = 0.05

Df = 15-1 = 14

Critical value:

alpha/2 = 0.05/2 = 0.05

t0.025

t critical value = 2.145

Margin of error ME

2.145 x 4590/√15

2.145 x 4590/3.873

ME = 2542.09

Confidence interval

Lower CI = mean - ME

= 81740-2542.09

= 79197.91

Upper CI = mean + ME

= 81740+2542.09

= 84282.09

[ 79197.91, 84282.09]

Using excel, exact answer for CI

Lower limit = 79198.142724212173

Upper limit = 84281.8572757827

The assumptions to be made from the population are that

1. Samples are random

2. These samples are gotten from an approximately normal distribution

6 0

3 years ago

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

balu736 [363]

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test * % share of total grade + score of second major test * % share of total grade + Score of the final exam * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7

3 0

3 years ago

WILL MARK BRAINLEIST!!!!!

marissa [1.9K]

4x+3=4x+3, feet=fe^2t, 3x−2=3x−2, feet=fe^2t

Step-by-step explanation:

7 0

3 years ago