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JulsSmile [24]
3 years ago
10

If a car company makes a car with the option of 4 exterior colors, 3 interior colors, and 2 engines, how can the multiplication

principle help us determine the total number of different variations of the car?
Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Answer:

You can multiply all of the number of options to get an answer.

Step-by-step explanation:

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In a survey, 24 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
erica [24]

Answer:

The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 24 - 1 = 23

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 23 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.5

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.5\frac{2}{\sqrt{24}} = 1.02

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.02 = $40.98.

The upper end of the interval is the sample mean added to M. So it is 42 + 1.02 = $43.02.

The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.

7 0
3 years ago
Write an algebraic expression for the word phrase c divided by 7.
Y_Kistochka [10]

Answer:

D. c/7

Step-by-step explanation:

An algebraic expression refers to the equation. In the question, it says to divide a number (c) by seven, giving you c/7

5 0
3 years ago
Please Help!<br> Factor the following trinomial<br> <img src="https://tex.z-dn.net/?f=9x%5E2-24x%2B16" id="TexFormula1" title="9
AlexFokin [52]

\huge\colorbox{pink}{Hey \: panda!}

The answer=>

For this,we need to know what's Middle splitting method

  • In order to factorize x² + bx + c we have to find numbers p and q such that p + q = b and pq = c. After finding p and q, we split the middle term in the quadratic as <em><u>px + qx and</u></em> get desired factors by grouping the terms.

Step-by-step explanation:

9x {}^{2}  - 24x + 16 \\  =  > 9x {}^{2}  - 12x - 12x + 16 \\  =  > 3x(3x - 4) - 4(3x - 4) \\  =  > (3x - 4)(3x - 4) \\ so... \\ x = eitherway \: 4

i.e

Alpha= Beta = 4

5 0
3 years ago
Read 2 more answers
One cell phone plan charges $20 per month plus $.15 per minute used. A second cell phone plan charges $35 per month plus $.10 pe
SOVA2 [1]

20+0.15x = 35+0.10x

0.15x=15+0.10x

0.05x=15

x= 15/0.05

x= 300minutes


check:

300*.015 = 45+20=65

300*0.10 = 30 + 35 = 65

they equal

 so number of minutes would be 300

7 0
3 years ago
Which phrase correctly represents the algebraic expression for 22-n?
Harrizon [31]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
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