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Andrews [41]
1 year ago
9

-18-16-14- 12-10-8-6Identify the inequality graphed on the number line.A)X-9<3B)x+9<3x-9 <-3D)x +9<-3

Mathematics
1 answer:
Murljashka [212]1 year ago
5 0

The inequality graph shown is a graph of x < -6

The correct option is option B because it is the only one whose solution give x<-6

x + 9 < 3

x < 3 - 9

x < -6

Therefore the answer is B

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According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o
Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that p = 0.304

100 such adults

This means that n = 100

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0
3 years ago
Which one would it be?
KATRIN_1 [288]

By AAS congruency the two triangles are congruent

4 0
3 years ago
GIVING BRAINILY I NEED HELP PLEASEEEE<br><br><br> 14/50 = X/100, so 14 x 2 = X<br> What’s X?
Misha Larkins [42]

Answer:

<h2><em><u>X = 28</u></em></h2>

Step-by-step explanation:

14 × 2 = X

=> <em><u>28 = X (Ans)</u></em>

7 0
3 years ago
Read 2 more answers
Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the
quester [9]

Step-by-step explanation:

a) X is a discrete uniform distribution. As the number of outcomes is only 3.

b) sum is at least 4

X ≥ 4

i.e  (1,3) or (2,3)

probability of X ≥ 4 is 2/3

2/3= 0.667

66.7 % is the probability of the outcome to have  a sum at least 4.

c) The 3 likely outcome of X

<em>(1,2) where X ; </em> 1+2=3

<em>(1,3) where X ;</em> 1+3=4

<em>(2,3) where X ;</em>  2+3=5

Mean = 3+4+5/ 3

Mean = 4

Feel free to ask any uncleared step

8 0
3 years ago
A helpful hand please
Tpy6a [65]
\bf s=\sqrt{2gh}\quad &#10;\begin{cases}&#10;s=speed\\&#10;g=gravity\\&#10;h=height\\&#10;-----\\&#10;s=34\\&#10;g=32&#10;\end{cases}\implies s^2=2gh\\\\\\ \cfrac{s^2}{2g}=h\implies \cfrac{34^2}{2\cdot 32}=h
3 0
4 years ago
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