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stellarik [79]
4 years ago
5

Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the tab

le.
Two surveys are chosen at random from the group of surveys. After the first survey is chosen, it is returned to the stack and can be chosen a second time. What is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family?

Mathematics
2 answers:
ki77a [65]4 years ago
3 0

Answer:

1/5

Step-by-step explanation:

Since the surveys are chosen with replacement (the first one is replaced before the second is chosen), the events are independent.  This means that the probability of both together is the product of each event's probability.

The probability of choosing a survey that indicates 4 children in the family is 8/60, since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.

The probability of choosing a survey that indicates 1 child is 9/60, since there are 9 surveys with 1 child out of a total of 60.

Together this gives us

8/60(9/60) = 72/360 = 1/5

bekas [8.4K]4 years ago
3 0

Answer:

A. 1/50

Step-by-step explanation:

I took the test.

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A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet
ale4655 [162]

9514 1404 393

Answer:

  • 16,965 mm/min
  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0
3 years ago
Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how
Lerok [7]

Answer:

Jessiah has 14 pencils

Miles has 28 pencils

Grace has 8 pencils

Step-by-step explanation:

I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve

Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,

j=g+6

m=2j

So m=2(g+6) or 2g+12

Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8

j=8+6, which is 14

m = 2(14), which is 28

3 0
3 years ago
Please help soon! Thanks! Solve for x
EastWind [94]

Answer:

x=30^{\circ}

Step-by-step explanation:

Looking at \triangle LMN:

\angle NML = 180 - (90+45) (angle sum of triangle is 180^{\circ})

=45^{\circ}

Looking at \triangle KNM:

\angle KNM = 180-105 (angle of straight is 180^{\circ})

=75^{\circ}

\angle KNM + \angle NKM + \angle KMN = 180 (angle sum of triangle is 180^{\circ)

75+2x+45 = 180

2x+120 = 180

2x=60

x=30^{\circ}

Hope this helps :)

8 0
3 years ago
Please help mee , i will marl the brainliest .
Tcecarenko [31]

Answer:

n = - 6

Step-by-step explanation:

Given k(x) then k(x) + n is a vertical translation of k(x)

• If n > 0 then a shift up of n units

• If n < 0 then a shift down of n units

Here k(x) has been shifted from (0, 0 ) to (0, - 6 )

That is a shift down of 6 units, then

p(x) = k(x) - 6

That is n = - 6

7 0
3 years ago
8.25% convert to a decimal then round to fourth decimal Place I
Amiraneli [1.4K]
As 100%=1.0

8%=0.08

8.25%= 0.0825
8 0
3 years ago
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