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dimulka [17.4K]
3 years ago
12

A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event

B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = ✔ 8/12 P(R | B) = ✔ 4/11 P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent
Mathematics
2 answers:
myrzilka [38]3 years ago
8 0

Answer:

8/12

4/11

8/33

24%

Step-by-step explanation:

edg 2021

Leviafan [203]3 years ago
6 0

Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

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Suppose a set of test scores is appproximately bell-shaped, with a mean of 68 and a range of 54. (a) The minimum test score is a
liberstina [14]

Answer:

a.) Minimum test score = 41

    Maximum test score = 95

b.)An approximate value of the standard deviation is 9.

Step-by-step explanation:

The given set of test scores is approximately bell shaped.

The mean of the test scores, \mu = 68

The range of the data set = 54.

a.) i.) Minimum test score  = \mu - \frac{range}{2}  = 68 - \frac{54}{2}  = 68 - 27 = 41

   ii.) The maximum test score = \mu + \frac{range}{2}  = 68 + \frac{54}{2}  = 68 + 27 = 95

b.) From the 68-95-99.7 rule, also known as the Empirical rule, tell us that an approximation of the range is 3 standard deviations either way from the mean. So from this rule we can say that the minimum can also be found from \mu - 3\sigma and the maximum can also be approximated as \mu + 3\sigma.

From the above we can say that the range can be written as

   3\sigma - (-3\sigma) = range

∴   6\sigma  = range

∴    \sigma  = \frac{range }{6}  = \frac{54}{6}  = 9

Therefore an approximate value of the standard deviation is 9.

7 0
3 years ago
A student measures the length of a football field and reports it to be 294 feet long. The actual length of the field is 300 feet
irakobra [83]

Answer:

Percentage error in the student measurement = 2%

Step-by-step explanation:

Percentage error = (change in length) / actual length × 100

Approximate length =294 feet

Actual length = 300 feet

Percentage error = (change in length) / actual length × 100

= (300 feet - 294 feet) / 300 feet × 100

= 6/300 × 100

= 0.02 × 100

= 2%

Percentage error in the student measurement = 2%

8 0
3 years ago
Danielle wants to paint her daughter's room pink. Which plan will give her paint that is the least red?
NeTakaya

Step-by-step explanation:

Plan B:

2:5 = 0.4 red to 1 white

1:4 = 0.25 red to 1 white

Students might also scale up using part-to-whole-ratios and come up with 35 parts total and 14 parts red for Plan A and 35 parts total and 7 parts red for Plan B.

8 0
3 years ago
1 point
wariber [46]

Answer:

x + 13 < 50

Step-by-step explanation:

8 0
3 years ago
I know there is too many questions but please help me answer them I will give you 20 points thank you so much for all the people
gregori [183]

Answer:

25%

1/3

100%

5/4

2.5

Step-by-step explanation:

Convert all the values into decimals and order them from least to greatest.

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