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KonstantinChe [14]
4 years ago
14

A fish tank contains eight algae-eaters, five catfish, and six tilapia fish. A storekeeper randomly selects two fish (one after

another without replacement) from the tank for a customer. Find the probability that both fish selected are catfish.
Mathematics
1 answer:
Montano1993 [528]4 years ago
8 0

Answer:

P = 10/171

P = 0.058

The probability that both fish selected are Catfish is 0.0058

Step-by-step explanation:

Given:

The tank contains;

Algae eaters = 8

Catfish = 5

Tilapia fish = 6

Total number of fish = 8+5+6= 19

To determine the probability that both fish selected are Catfish P;

P = 5/19 × 4/18

( The number of the total number of fishes, and Catfish reduce by one after each selection because it is selected without replacement)

P = 10/171

P = 0.058

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In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school dipl
Anna71 [15]

Answer:

The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma.

This means that n = 234, \pi = \frac{48}{234} = 0.2051

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051*0.7949}{234}} = 0.2568

The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.

6 0
3 years ago
Guy wants to swim 500 meters. After 75 meters, he takes a break. What percent of his goal has he already met?
babymother [125]

Answer:

15%

Step-by-step explanation:

75/500=0.15=15%

8 0
3 years ago
Ms. Young acquired a loan of $40,000 at her local bank. The loan has a simple interest rate of 6% per year. What is the amount o
soldier1979 [14.2K]

Answer:

12.000

Step-by-step explanation:

40000x6=  240000/100=  2400x5

8 0
3 years ago
A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per
eduard

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=\frac{18-20}{\frac{10}{\sqrt{144} } }=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

4 0
3 years ago
PLEASE HELP!! Which graph represents the function y=sin(1/2x) after a shift of 3 units down?
dybincka [34]

Answer:

a

Step-by-step explanation:

correct on edge

3 0
3 years ago
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