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2 years ago

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Two balls are to be selected with replacement from a hat with one red, one blue, one yellow, and one green ball. Determine the p

robability of selecting at least one green ball. Assume each ball is identical except color so that each is equally likely to be selected.

1 answer:

mojhsa [17]2 years ago

8 0

Answer: 1/4

Step-by-step explanation:

Pr (green ball) = number of green ball/ total number of balls

Pr = 1/4

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Surveys indicate that 5% of the students who took the SATs had enrolled in an SAT prep course. 30% of the SAT prep students were

Nesterboy [21]

Answer: The probability he didn't take an SAT prep course = 0.985

Step-by-step explanation:

Let us first assume that he took SAT prep.

Surveys indicate that 5% of the students who took the SATs had enrolled in an SAT prep course. 30% of the SAT prep students were admitted to their first choice college. That is,

30/ 100 of 5 = 0.3 × 5 = 1.5

The probability he did take an SAT prep course and got admission into the college of first choice will be

P(prep) = 1.5 / 100 = 0.015

The probability he didn't take an SAT prep course will be:

P(not prep) = 1 - P(prep)

P(not prep) = 1 - 0.015

P(not prep) = 0.985

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2 years ago

During his last 5 jobs, an electrician used the following amounts of cable:

ella [17]

The total amount of cable used is 47.4m

<u>Explanation:</u>

Given:

Amounts of cable used that has to be rounded off to 1 decimal place:

12.995 m ≈ 13.0 m

7.505 m ≈ 7.5m

10.08 m ≈ 10.1 m

6.95 m ≈ 7.0 m

9.75 m ≈ 9.8 m

Total amount of cable used = 13m + 7.5m + 10.1m + 7m + 9.8m

= 47.4m

Therefore, total amount of cable used is 47.4m

7 0

2 years ago

which geometric series represents 0.4444... as a fraction? a) 1/4, 1/40, 1/400, 1/4,000 b) 1/40, 1/400, 1/4,000, 1/40,000 c) 4/1

xenn [34]

Answer: $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

Step-by-step explanation:

The given geometric series are:

a) $\frac{1}{4}+\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}$

on simplifying in decimals, we get

$0.25+0.025+0.0025+0.00025=0.27775\neq0.4444$

b) $\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}+\frac{1}{40,000}$

on simplifying in decimals, we get

$0.025+0.0025+0.00025+0.000025=0.027775\neq0.4444$

c) $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

on simplifying in decimals, we get

$0.4+0.04+0.004+0.0004=0.4444$

Thus, this geometric series represent 0.4444.

d) $\frac{1}{10}+\frac{1}{100}+\frac{1}{1,000}+\frac{1}{10,000}$

on simplifying in decimals, we get

$0.1+0.01+0.001+0.0001=0.1111\ \neq0.4444$

7 0

2 years ago

Read 2 more answers

A desert has both fruit and yoghurt inside.Altogether the mass of the fruit and yoghurt is 175g. The ratio of the mass of fruit

Dafna11 [192]

Answer:

125g

Step-by-step explanation:

You can find the mass of the yoghurt by dividing the mass of the fruit and the yoghurt by the sum of the ratio,(2+5), then multiplying that value by 5.

8 0

2 years ago

1.Design a number line containing five (5) points 2.Benin, one of the smallest count pinstripes in Africa, has a total area of 4

gtnhenbr [62]

1.Design a number line containing five (5) points
For this case what you should do is place a line with five points.
You can think of one of the axes of the Cartesian plane, for example, the x-axis. We place five separate points in that line the same distance.
line: 0 1 2 3 4 5

a. Round off the total population to the nearest hundred thousand people
nearest hundred thousand means
100,000
Then rounding off we have:
10,160,555
hundred thousand: 10,161,000
b. Round off Benin's area in square miles to the nearest thousand.

nearest thousand means
1,000
Then rounding off we have:
43,475
thousand: 44,000

Round off the number of miles of surfaced roads to the nearest ten. nearest ten means
10
Then rounding off we have:
870
ten: 870

d. Round off the number of people who live in rural areas to the nearest million
nearest million means
1,000,000
Then rounding off we have:
3,657,790
million: 4,000,000

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2 years ago

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