A grocery store will only accept yellow onions that are at least 2.75 in. in diameter. A grower has a crop of onions with diameters that are normally distributed, with a mean diameter of 3.25 in. and a standard deviation of 0.25 in. What percent of the onions will be accepted by the grocery store?A. 16%
B. 2.5%
C. 97.5%
D. 34%

Answers

Answer 1

Answer:

Answer:

C. 97.5%

Step-by-step explanation:

For identify the percent of the onions that will be accepted by the grocery, we need to standardized the minimum diameter accepted.

Standardized is to find the equivalent number of 2.75 in a normal distribution with mean 0 and standard deviation 1. This is calculate as:

$Z=(2.75-3.25)/(0.25)=-2$

Where z is the equivalent value of 2.75 in the standard normal distribution, 3.25 is the mean and 0.25 is the standard deviation.

So, 2.75 in a normal distribution with mean 3.25 and standard deviation of 0.25 is equivalent to have a -2 in standard normal distribution.

A standard normal distribution is a normal distribution with mean 0 and standard deviation 1.

Finally the percent of the onions that will be accepted by the grocery store is calculate as the probability of z to be bigger that -2 in a standard normal distribution. That is:

P(Z>-2)=0.9772

This value can be found in a table of standard normal distribution that given a z, it show you the area on the right of this number.

So, the percent of onions that are going to be accepted is approximately 97.5%

Answer 2

Answer: it has to be C.........

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Radius of a circle with diameter 240mm

Answers

The radius of the circle with the given diameter would be = 120mm.

What is the diameter of the circle?

The diameter of the circle is defined as a line segment that passes through the center of a circle and has two endpoints at the circumference.

The radius is defined as the distance from the centre of a circle to any point on the boundary. The radius:

= Diameter/2

Therefore, the radius of the circle = 240/2 = 120mm

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okay so since we are using diameter the formula for this would be 1/4pie times diameter squared
geting our answer 45,216

What is the sum of 3/8 and 1/16?
A. 7/16
B. 1/4
C. 1/6
D. 4/24

Answers

The sum of fractions 3/8 and 1/16 is 7/16.

Option A is the correct answer.

We have,

The commondenominator of 3/8 and 1/16 is 16.

Converting the fractions to have a denominator of 16:

3/8 = 6/16 (by multiplying the numerator and denominator by 2)

And,

1/16 (already has the denominator of 16)

Now, add the fractions:

6/16 + 1/16

= 7/16

Therefore,

The sum of fractions 3/8 and 1/16 is 7/16.

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Hi

3/8 = 6/16

3/8 + 1/16 = 6/16 + 1/16 = (6+1)/16 = 7/16

Answer: A) 7/16

Determine the value of k so that 2x^2+kx+5=0 has each type of solutions: 2 real solutions:
2complex,nonreal solutions:
Exactly 1 real solution:

Answers

$2x^2+kx+5=0 \n \na=2 \n b=k \n c=5 \n \Delta=b^2-4ac=k^2-4 * 2 * 5=k^2-40$

When the discriminant Δ is greater than 0, the equation has 2 real solutions:
$k^2-40 > 0 \nk^2>40 \nk>√(40) \ \lor \ k<-√(40) \nk>2√(10) \ \lor \ k<-2√(10) \n\boxed{k \in (-\infty,-2√(10)) \cup (2√(10), +\infty)}$

When the discriminant Δ is less than 0, the equation has 2 complex and no real solutions:
$k^2-40<0 \nk^2<40 \nk<√(40) \ \land \ k>-√(40) \nk<2√(10) \ \land \ k>-2√(10) \n\boxed{k \in (-2√(10),2√(10))}$

When the discriminant Δ is equal to 0, the equation has exactly 1 real solution:
$k^2-40=0 \nk^2=40 \nk=√(40) \ \lor \ k=-√(40) \nk=2√(10) \ \lor \ k=-2√(10) \n\boxed{k \in \{ -2√(10), 2√(10) \} }$

Dana just finished paying off the $15,400 loan she took out four years ago. the loan had 6.68% interest, compounded monthly. if dana paid a total of $18,321.60, how much did she pay in service charges?

Answers

She would have given 730.08 in service charges. let me know if i can show you how to figure the problem out ! :)

Let f(x)=x+8 and g(x)=x^2 -6x-7. find f(g(2))

Answers

$f(g(2))=2^2-6\cdot2-7+8=4-12+1=-7$

$f(x)=x+8\n\ng(x)=x^2-6x-7\n\nf(g(x))=(x^2-6x-7)+8=x^2-6x+1\n\nf(g(2))=2^2-6\cdot2+1=4-12+1=-7\n\nSolution:f(g(2))=-7$

A football coach gives half his players a protein bar to eat before each game; the other players do not receive the protein bar. After a month of games, he analyzes their playing stats. He concludes the protein bar helped improve their performance on the field. How can the coach test the means to be sure the results are not likely to happen by chance?A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.
B.He can pick players at random and analyze their playing stats without calculating means.
C.He can analyze the two groups by calculating the means and the difference of the means.
D.He can pick the players he wants to analyze based on the best stats.

Answers

Answer:

The answer is option A.

Step-by-step explanation:

How can the coach test the means to be sure the results are not likely to happen by chance?

A.He can re randomize the results by separating the two groups randomly, then calculate the means and the difference of the means. (This is because, in statistical data, it cannot happen by chance. It has to be a valid occurrence, nothing by chance.)

Answer:

A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.

Step-by-step explanation:

He can randomize again the players that are receiving the bar and those who are not, and then after that he can see if the results from the previous experiment were accurate or if they happened just by chance. In this way he can make sure that if the results with this two new groups after randomizing are the same that the bar is actually improving the players an edge on performance.

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