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1 year ago

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Leo and Maggie volunteer at the local bird sanctuary. Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s batt

ery charge is only at 20%. When fully charged, the batteries last 12 hours. Leo thinks the walkie-talkie will last for his entire 3-hour shift.

1 answer:

Fiesta28 [93]1 year ago

5 0

12 * 20% = 12 * 0.20 = 2.4 hours

It will not last his entire shift.

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A local project being analyzed by PERT has 42 activities, 13 of which are on the critical path. If the estimated time along the

ryzh [129]

Answer:

the probability that the project will be completed in 95 days or less, P(x ≤ 95) = 0.023

Step-by-step explanation:

This is a normal probability distribution question.

We'll need to standardize the 95 days to solve this.

The standardized score is the value minus the mean then divided by the standard deviation.

z = (x - xbar)/σ

x = 95 days

xbar = mean = 105 days

σ = standard deviation = √(variance) = √25 = 5

z = (95 - 105)/5 = - 2

To determine the probability that the project will be completed in 95 days or less, P(x ≤ 95) = P(z ≤ (-2))

We'll use data from the normal probability table for these probabilities

P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023

5 0

1 year ago

Use the table and the data provided to analyze the following data. During gym class, the pulse rate was recorded for 19 students

nexus9112 [7]

Answer:

Part A

Please see attached the required stem and leaf plot

For the stem and leaf plot, the nonsplit system is used because of clarity for analysis

Part B:

From the shape of the stem and leaf plot we have that there is an average increase of pulse rate of 20 pulses in all the 19 students after the exercise

The shape of the plot is relatively the same for the before and after exercise save for the decrease in the third to the last row by one and the increase in the second to the last roe by one student

The spread remained relatively constant in both cases with the most being in the 60s range having 7 students in the before exercise and the 80s range having 8 students in the after exercise leaf plot.

Step-by-step explanation:

The given data are;

67 ${}$ 87

67 ${}$ 88

67 ${}$ 89

68 ${}$ 89

71 ${}$ 91

72 93

72 93

75 95

77 96

77 97

79 98

81 98

85 101

87 105

87 105

91 119

97 125

103 125

121 147

3 0

1 year ago

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

kap26 [50]

Answer: 0.083

Step-by-step explanation:

Numbers on cube=6

faces on coin=2

Therefore, the total outcomes= $6\times2=12$

Now, the favorable outcome that he rolls a 4 and flips a head=1

The probability that he rolls a 4 and flips a head= $\frac{\text{favorable outcome}}{\text{total outcome}}$

⇒The probability that he rolls a 4 and flips a head= $\frac{1}{12}$ =0.083333\approx0.83.

Therefore, The probability that he rolls a 4 and flips a head=0.083

3 0

1 year ago

Read 2 more answers

Deep Blue, a deep sea fishing company, bought a boat for $250,000. After 9 years, Deep Blue plans to sell it for a scrap value o

zhuklara [117]

Answer:

Therefore, we use the linear depreciation and we get is 17222.22 .

Step-by-step explanation:

From Exercise we have that is boat $250,000.

The straight line depreciation for a boat would be calculated as follows:

Cost boat is $250,000.

For $95,000 Deep Blue plans to sell it after 9 years.

We use the formula and we calculate :

(250000-95000)/9=155000/9=17222.22

Therefore, we use the linear depreciation and we get is 17222.22 .

8 0

2 years ago

n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp

Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that $p = 0.026$

100 runners are chosen at random

This means that $n = 100$

Find the probability that at least 5 of them did not finish the marathon

This is:

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718$

$P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916$

$P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531$

$P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207$

$P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429$

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199$

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

4 0

1 year ago