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Proportionality math

Step2247 [10]

Answer:

no bc the graph shows a slope of 12

Step-by-step explanation:

6 0

3 years ago

3^-2 expanded form

Zanzabum

3^(-2) = 1/(3^2) = 1/(3*3) = 1/9

The rule used here is x^(-y) = 1/(x^y) to make the exponent positive.

3^2 turns into 3*3 because the exponent 2 tells us how many copies of the base '3' to multiply out.

5 0

3 years ago

HELP NOW!!!!

VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

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The desired outcomes are:

First 8 people are teachers, in <u>8! possible ways.</u>
Last 4 are students, in <u>4! possible ways.</u>

Thus, $D = 8! \times 4!$

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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0

3 years ago

According to scientific research, the probability that a person between the ages of 20 and 25 having high blood pressure, is onl

boyakko [2]

Answer:

<h2>The probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ + ${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ + ${\frac{83}{100} }^{10}$ .</h2>

Step-by-step explanation:

The probability of having high blood pressure is 17%.

We need to find the probability of 2 or fewer have high blood pressure.

Possibility 1: No one have high blood pressure.

The probability is ${\frac{100 -17}{100} }^{10} = {\frac{83}{100} }^{10}$ .

Possibility 2: Only one have high blood pressure.

The probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ .

Possibility 3: 2 among the 10 have the high blood pressure.

${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ .

Any of the possibilities can happen.

Hence, the required probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ + ${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ + ${\frac{83}{100} }^{10}$ .

4 0

3 years ago

Which number line represents the solution set for inequality?

AlekseyPX

Answer:

Third graph down

Step-by-step explanation:

2x -6 ≥ 6(x-2)+8

Distribute

2x - 6≥6x -12+8

Combine like terms

2x - 6≥6x -4

Subtract 2x from each side

2x-6-2x ≥6x-2x-4

-6 ≥4x-12

Add 4 to each side

-6+4 ≥4x-4+4

-2 ≥4x

Divide by 4

-2/4 ≥4x/4

-1/2≥x

Closed circle at -1/2

Line going the the left

8 0

3 years ago