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gayaneshka [121]
3 years ago
5

There are 30 names in a hat. If two names are picked without replacement, which expression shows the probability that Jack and J

ill will be picked?​

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer: Choice C)

(1/30)*(1/29)

Explanation:

Jack has a 1/30 chance of being picked since he is 1 person out of 30 total. After his name is picked, and not put back, there are 30-1 = 29 names left. The chances Jill is picked is 1/29. The two fractions are multiplied to get the overall probability both are picked.

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The data (1.5.8.5.1) represent a random sample of the number of days absent from school for five students at Monta Vista High. F
lianna [129]

Answer:

\bar X = \frac{1+5+8+5+1}{5}= \frac{20}{5}= 4

\sigma= \sqrt{\frac{(1-4)^2 +(5-4)^2 +(8-4)^2 +(5-4)^2 +(1-4)^2}{5}} =\sqrt{\frac{36}{5}}= 2.68

And based on this the best answer would be:

a. mean = 4; standard deviation = 2.68

Step-by-step explanation:

For this case we have the following data given:

1,5,8,5,1

We can find the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{1+5+8+5+1}{5}= \frac{20}{5}= 4

And for the deviation (assuming that the correct approximation is the deviation for a population) we can calculate the deviation with the following formula:

\sigma = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And replacing we got:

\sigma= \sqrt{\frac{(1-4)^2 +(5-4)^2 +(8-4)^2 +(5-4)^2 +(1-4)^2}{5}} =\sqrt{\frac{36}{5}}= 2.68

And based on this the best answer would be:

a. mean = 4; standard deviation = 2.68

3 0
3 years ago
In 10 minutes, a heart can beat 700 times. At this rate, in how many minutes will a heart beat 140 times. At what rate can a hea
nalin [4]
In 14 minutes the heart will beat 140 times becuase i did 140/10 and got 14
3 0
4 years ago
If ||| m, solve for x and y.
rosijanka [135]

Answer:

x = 11, y = 3

Step-by-step explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

13x - 19 = 13(11) - 19 = 143 - 19 = 124

(17y + 5) and 124 are alternate angles and are supplementary, thus

17y + 5 + 124 = 180, that is

17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

4 0
3 years ago
Read 2 more answers
If a line has a slope of 2 and contains the point (-2, 1) what is the equation in point slope form
Elden [556K]

Answer:

y - 1 = 2(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 2 and (a, b) = (- 2, 1), thus

y - 1 = 2(x - (- 2)), that is

y - 1 = 2(x + 2) ← in point- slope form

4 0
3 years ago
Write an expression with a variable m, a coefficient -3, and a constant of 17
Svetlanka [38]

Answer

-3m + 17

Step-by-step explanation:

A coefficient is a number that goes in front of the variable, so -3 would go in front of m. A constant is just a number on it's own, so it would be +17

6 0
3 years ago
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