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2 years ago

A number from 8 to 15 is drawn from a bag at random. What is the theoretical probability of drawing the number 12?

2 answers:

6 0

Number of favored outcomes / possible outcomes
there are 6 possible outcomes(9,10,11,12,13,14) and 1 favorible outcome(12)
so it is 1/6
divide
0.16
the theoretical possibilty is 0.16

tamaranim1 [39]2 years ago

4 0

It would be 15 percent

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What is the solution to the inequality? 4x−5>19−8x

Nostrana [21]

Answer:

x>1.16

Step-by-step explanation:

Subtract 5 from each side to get 4x>14-8x

change the symbol from +8 to -8

4x> 14+ (-8x)

than add 8x to both sides

12x > 14

which would mean that x has to be greater than 1.16

x>1.16

7 0

3 years ago

for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b

marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

⇒ 300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

= 101/2 (300+100)

= 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

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7 0

1 year ago

Y=2x-4 What is the five ordered pairs and completing the input/output table

kati45 [8]

Answer:

{(0, -4), (1, -2), (2, 0), (3, 2), (4, 4)}

Input values (x) = {0, 1, 2, 3, 4}

Output values (y) = {-4, -2, 0, 2, 4}

Step-by-step explanation:

Given the linear equation, y = 2x - 4, you could practically choose any input value (for x), to have an output value (for y).

If x = 0:

y = 2(0) - 4

y = 0 - 4

y = -4

First ordered pair: y-intercept = (0, -4)

If x = 1:

y = 2(1) - 4

y= 2 - 4

y = -2

Second ordered pair: (1, -2).

If x = 2:

y = 2(2) - 4

y= 4 - 4

y = 0

Third ordered pair: x-intercept = (2, 0).

If x = 3:

y = 2(3) - 4

y = 6 - 4

y = 2

Fourth ordered pair: (3, 2).

If x = 4:

y = 2(4) - 4

y = 8 - 4

y = 4

Fifth ordered pair: (4, 4).

Your input values (x) = {0, 1, 2, 3, 4}

Your output values (y) = {-4, -2, 0, 2, 4}

6 0

2 years ago

PLEASE ANSWER ASAP What does it mean for a scatter plot to have a negative trend?

mestny [16]

Answer:

D: None of these are true

Explanation:

If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables

4 0

3 years ago

Ian factored 12x3y3 – 24x2y3 into 6xy(2x2y2 – 4xy2).

jonny [76]

A. 6xy(2x^2y^2-4xy^2) If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2. You will get 12x^3y^3-24x^2y^3. b. Factorization is not complete because 6xy is not the greatest common factor. c. Complete factor: 12x^2y^3(x-2y).

6 0

3 years ago

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