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Lunna [17]
1 year ago
11

The first hole of a golf course is 250 metres long. A golfer hits her drive exactly 250 m,

Mathematics
1 answer:
Serga [27]1 year ago
7 0

Answer: A golfer finds himself in two different situations on different holes. On the second hole he is 120 m from the green and wants to hit the ball 90 m

Step-by-step explanation:

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Find the area and perimeter of the following
suter [353]

Answer:

Perimeter is 8x²y+26x

Area is 52x³y

Step-by-step explanation:

The perimeter is 2W+2L and area is LW

Perimeter:

2(4x²y)+2(13x)

8x²y+26x

Area:

(4x²y)(13x)

52x³y

3 0
2 years ago
The line AB has midpoint (2,5).<br> A has coordinates (1, 2).<br> Find the coordinates of B.
Gekata [30.6K]

Answer:

X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

7 0
3 years ago
Just answer 3 and 4 you don’t need to show your work just answers please!
ad-work [718]
#3.) 48 pieces of ribbon
#3.) this week they cost $112
8 0
3 years ago
Determine the function that represents the relationship.
soldier1979 [14.2K]

Answer:

Option B

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

y=8x+14\\y=8(0)+14\\y= 14\\\\y=8x+14\\y=8(1)+14\\y=8+14\\y=22\\\\y=8x+14\\y=8(2)+14\\y=16+14\\y=30\\

and so on so Option B is the answer

8 0
2 years ago
Read 2 more answers
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa
Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that \mu = 8.7, \sigma = 20.2

40 years:

This means that n = 40, s = \frac{20.2}{\sqrt{40}}

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = 1.35

Z = 1.35 has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

Z = \frac{X - \mu}{s}

Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = -0.22

Z = -0.22 has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

8 0
2 years ago
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