Quiz 3

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The

kobusy [5.1K]

Answer:

20 and 16

Step-by-step explanation:

Let us find x and y.

x – y = 4 _____(1)

x/2 + y/2= 18___(2)

Multiply (2) by 2 and add to (1)

x - y = 4

+(x + y = 36)

2x = 40

=> x = 40 / 2 = 20

From (1):

20 - y = 4

=> y = 20 - 4 = 16

The two numbers are 20 and 16.

6 0

2 years ago

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Te probability is 0.5 that an artist makes a craf item with satisfactory quality. Assume the production of each craf item by thi

mina [271]

Answer:

The probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.9375

Step-by-step explanation:

Let E be a random variable denoting the event that an artist makes a craft item with satisfactory level.

Then the random variable E follows a Geometric distribution.

A Geometric distribution is defined as the number of failures (k) before the first success.

The probability function of Geometric distribution is:

$P(X=k)=(1-p)^{k}p$ , p = Probability of success and k = 0, 1, 2, 3...

The probability of success is, p = 0.5 and the number of failures is, k = 3.

Compute the probability of at most 3 attempts before the first success is:

$P(X\leq 3) =P(X=3)+P(X = 2)+P(X=1) +P(X = 0)\\=[(1-0.5)^{0}*0.5]+[(1-0.5)^{1}*0.5]+[(1-0.5)^{2}*0.5]+[(1-0.5)^{3}*0.5]\\=0.9375$

Therefore, the probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.9375.

6 0

2 years ago

Which scatter plot has a correlation coefficient closest to r=1

Alex73 [517]

Answer:

The correct answer is the scatter plot which has a strong positive slope of the curve of best fit.

Step-by-step explanation:

A scatter plot shows a relationship between two variables for a particular individual. It is actually a graph where we draw a curve of best fit which can represent the whole data. A scatter plot having the correlation coefficient closest to r = 1, is said to have a very strong correlation between the variables.

A scatter plot would have a strong correlation if the data points of the individual are very close to the line or curve of best fit.

For r = 1 , the correlation is strong and positive.

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2 years ago

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If g = 77 cm and h = 85 cm, what is the length of f? My formula is a Right-Triangle.

Sedbober [7]

If we are looking for the hypotenuse the answer is, 114.69. If the h is the hypotenuse then you would have 36 for leg b.

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2 years ago

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A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er