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Rus_ich [418]
2 years ago
14

A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were

randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in the table.
468 380 120 220 553 945 935 607 473 490 074 981 692 518 408 954 943 389 594 569

Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school?
Mathematics
2 answers:
g100num [7]2 years ago
8 0
First, we analyze the data given:

468 = no student rides a car to school
380 = 2 students 
120 = 3 students
220 = 3 students
553 = 1
945 = none
935 = 1
607 = 1
473 = 1
490 = 1
074 = 1
981 = 1
692 = 1
518 = 1
408 = 1
954 = none
943 = 1 
389 = 1
594 = none 
569 = none 

Total = 20 trials
Number of 1 student trial = 12

Therefore, the probability <span>that only 1 of 3 randomly selected students rides in a car to school is 12/20 = 0.6</span><span />
Butoxors [25]2 years ago
3 0
The answer is 0.60 I know cause I took the test
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A black shoe is selected at random from a bin of 6 black shoes and 4 brown shoes and not replaced. What is the probability that
MrMuchimi
Hello,

If 1 black shoe is selected from a bin of 6 black shoes and 4 brown shoes and not replaced, then there are 5 black shoes and 4 brown shoes remaining. To find the probability that the a black shoe will be selected out of 5 black shoes and 4 brown shoes, we divide the number of black shoes over the total number of shoes (Each selection of a shoe is independent).

Doing this, we get 5 / (5+4) = 5/9 ≈ 0.55 
The probability that a second shoe selected will be black is 0.55.

Hope this helps!
6 0
2 years ago
Point G is on segment FH such that it partitions segment FH into a ratio of 2:3.Point F is located at (5, 7) and point H is loca
Margarita [4]

Answer:

G = (9.4, 9,4)

Step-by-step explanation:

The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH

x-distance:

x2 - x1 = 16 - 5 = 11

11/5 = 2.2

y-distance:

y2 - y1 = 13 - 7 = 6

6/5 = 1.2

Point G = Point F + (2.2*2, 1.2*2)

Point G = (5, 7) + (4.4, 2.4)

= (9.4, 9.4)

8 0
2 years ago
Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section 3.7). If the cup is 6 inche
aliya0001 [1]

Answer:

The water level rising when the water is 4 inches deep is \frac{3}{8\times \pi} inch/s.

Step-by-step explanation:

Rate of water pouring out in the cone = R=\frac{3}{2} inch^3/s

Height of the cup = h = 6 inches

Radius of the cup = r = 3 inches

\frac{r}{h}=\frac{3 inch}{6 inch}=\frac{1}{2}

r = h/2

Volume of the cone = V=\frac{1}{3}\pi r^2h

V=\frac{1}{3}\pi r^2h

\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi r^2h)}{dt}

\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi (\frac{h}{2})^2h)}{dt}

\frac{dV}{dt}=\frac{1}{3\times 4}\pi \times \frac{d(h^3)}{dt}

\frac{dV}{dt}=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}

\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}

h = 4 inches

\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3\times (4inches )^2\times \frac{dh}{dt}

\frac{3}{2} inch^3/s=\pi\times 4\times \frac{dh}{dt} inches^2

\frac{dh}{dt}=\frac{3}{8\times \pi} inch/s

The water level rising when the water is 4 inches deep is \frac{3}{8\times \pi} inch/s.

6 0
2 years ago
Explain how knowing 1+7 helps you find the sum for 7+1
kakasveta [241]

We can use the concept of commutative property of addition here. We know that the addition follow the commutative property.

The commutative property of addition is given by

a+b=b+a

It means, if we change the order, it will not affect the result.

Therefore, using above mentioned property, we can see that

1+7 = 7+1

Hence, if we know the value of 1+7, then we can easily find the value of 7+1 because both are same.

4 0
2 years ago
Read 2 more answers
11. The sales tax rate is 6.9%
Norma-Jean [14]

Answer:

40.1%

Step-by-step explanation:

I am assuming that 192 is in 100%.

100% = 192

I then represent the value that we are looking for with x.

x% = 77

By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).

\frac{100}{x} = \frac{77}{192}

Now, of course, we take the reciprocal, or inverse, of both sides:

\frac{x}{100} = \frac{7}{192}

x = 40.1%

Thus making the answer: 40.1% of 192 is 77.

7 0
2 years ago
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