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MAVERICK [17]
3 years ago
12

Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three

times, replacing the card each time. To win a prize, he must draw the number 5 all three times. What is the probability he will draw the number 5 all three times?
Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

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Suppose that the quality control manager for a cereal manufacturer wants to ensure that bags of cereal are being filled correctl
likoan [24]

Answer: No, these results are not statistically significant because

p > 0.05

Step-by-step explanation:

The null hypothesis is

H0 : μ = 17

The alternative hypothesis is

H 1 : μ ≠ 17

where μ is the mean amount of cereal in each box.

The p value that he got is 0.1499. This is greater than alpha = 0.05 which is the given level of significance.

If the level of significance is lesser than the p value, we would accept the null hypothesis.

Therefore, the correct option is

No, these results are not statistically significant because p>0.05

6 0
3 years ago
A science class has 3 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. the teacher randomly sele
brilliants [131]
In the science class,
there are 3 girls and 1 boy (grade 7)
and          5 girls and 5 boys (grade 8)
There is a total of 14 pupils being 8 girls and 6 boys
The probability of choosing a boy will be \frac{6}{14}
Which can be simplified into \frac{3}{7} by dividing 2 from the numerator as well as the denominator.
8 0
3 years ago
What is the equation of the line
cricket20 [7]
The answer is
(0,0)
Goodluck
6 0
2 years ago
G(x) = -8x + 2, find<br><br> a. g(x+4)<br><br> b. g(x) + g(-2)
kondaur [170]

Answer:

g(x+4)= -8(x+4)+2

=-8x-32+2=-8x-30

g(x)+g(-2)=-8x+2+(-8(-2)+2)

=-8x+2+(16+2)

=-8x+20

a.=-8x-30

b.=-8x+20

8 0
3 years ago
Please helpp please <br> im in deep need to learn this<br> please
Tju [1.3M]

Answer:

C

Step-by-step explanation:

i think because the bottom of the triangles are the denominators and the x is the numerator

6 0
2 years ago
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