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NARA [144]
3 years ago
13

A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

en draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

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Zepler [3.9K]

The size of the sample they should take to estimate p with a 2% margin of error and 90% confidence is n = 1691.

In statistics, the margin of error is just the degree of a significant error in the outcomes of random sample surveys.

The formula of margin error is, E = z√((p-vector)(1 - (p-vector)) ÷ n)

E = 2% = 0.02

Confidence level = 90%

Now, the proportion is not given so adopt nominal (p-vector) = 0.05

The critical value at CL of 90% is 1.645.

Thus, making n the subject,

n = z²(((p-vector) × (1 - (p-vector))) ÷ E²)

n = 1.645²((0.5 × 0.5) ÷ 0.02²)

n = 1691.266

n ≈ 1691

Read more about the margin of error at

brainly.com/question/16141482?referrer=searchResults

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10 months ago
Pls i need help in this
timurjin [86]
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3 years ago
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the inter
slava [35]

Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:

r = \frac{f(22) - f(10)}{12}

<h3>What is the average rate of change of a function over an interval?</h3>

It is given by the change in the <u>output divided by the change in input</u>.

Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:

r = \frac{f(22) - f(10)}{12}

More can be learned about the average rate of change of a function at brainly.com/question/24313700

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8 0
2 years ago
Can someone explain this to me not only answers make sure to make it clean then i will mark brainliest please i really need an e
Igoryamba

Answer:

Since the sum of the angles equal to 720, you have to add all the angles to add to 720 and then solve for x, in which would look like this (x+2)+(x-4)+(x+6)+(x-3)+(x+7)+(x-8)=720, which is simplified to (6x)=720, in which will make x=120. Next, since its angle E, you plug in tha x value, (120+6), in which the ANSWER IS 126 DEGREES

Step-by-step explanation:

Hope this help ^w^

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2 years ago
Which function has a greater rate of change?
omeli [17]

Answer:

Function A has a rate of change of 5 and Function B has a rate of change of 4.5. Thus, Function A has a higher rate of change

Step-by-step explanation:

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