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3 years ago

Simplify the given expression. (4x2squared-15x-21)+3x2squared-10)

Mathematics

1 answer:

Bess [88]3 years ago

4 0

Answer:

$7x^{2} - 15x -31$

Step-by-step explanation:

$(4x^{2} - 15x -21) + 3x^{2} - 10 = 4x^{2} + 3x^{2} - 15x -21 - 10 = 7x^{2} - 15x -31$

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You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not

ra1l [238]

The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

We can find the probability of numbers not divisible by 3
We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

$P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}$

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

$=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}$

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

#LearnwithBrainly

8 0

3 years ago

Mary's making curtains out of some fabric for five Windows the two larger windows are the same size and the three smaller window

pochemuha

So we have 2 large windows, each needing 3 3/4 yds of fabric....and 3 small windows, each needing 1 1/3 yds of fabric

2(3 3/4) + 3(1 1/3) =
2(15/4) + 3(4/3) =
30/4 + 12/3 =
7 1/2 + 4 =
11 1/2 (or 11.5) yds of fabric are needed <==

5 0

4 years ago

A student earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests. She scored 78% on the final exam and 86% on

Anna71 [15]

Her weighted mean grade is 81.2% if the student earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have a student who earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests. She scored 78% on the final exam and 86% on her class projects.

The weighted mean can be calculated as:

$\rm = 0.4\times\dfrac{[(84+78+84+72)]}{4} + 0.3\times 78 + 0.1\times 86+ 0.2\times 87$

After calculating, we get:

= 81.2%

Thus, her weighted mean grade is 81.2% if the student earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests.

Learn more about the mean here:

brainly.com/question/22871228

#SPJ1

8 0

2 years ago

Solve the system of equations.

Ipatiy [6.2K]

Answer:

the answer is y= x+7

Step-by-step explanation:

the answer is y= x+7 because you have to move the -2x over to where the 14 is and it becomes positive then you divide 2 by 2x and 14 by 2 then you get the answer

6 0

3 years ago

Read 2 more answers

4. Raj and Saleem can type 20 and 40 words,

kondaur [170]

Answer:

Raj will take 10 minutes

explanation:-

Raj types 20 words per minute

Saleem types 40 words per minute

I. e speed and time are inversly proportional.

therefore, Raj will take twice the time Saleem takes.

Raj takes 2 * 5 = 10 minutes

3 0

3 years ago