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yaroslaw [1]
3 years ago
14

The average score of all golfers for a particular course has a mean of 70and a standard deviation of 5.Suppose 100golfers played

the course today. Find the probability that the average score of the 100golfers exceeded 71.Round to four decimal places.
Mathematics
1 answer:
Schach [20]3 years ago
6 0

Answer:

0.9773

Step-by-step explanation:

Here, we start by calculating the z-scores statistic

Mathematically;

z-score = (x-mean)/SD/√n

From the question, we have;

x = 71, mean = 70, SD = 5 and n = 100

Plugging these values in the equation above, we have;

z-score = (71-70)/5/√100 = 1/5/10 = 1/0.5 = 2

So the probability we want to calculate is that;

P(z > 2)

This is obtainable from the standard normal distribution table

P(z > 2) = 0.97725 which is 0.9773 to 4 decimal places

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How many solutions does 3(2.4×+4)=4.1x+7+3.1x
Maru [420]

Step-by-step explanation:

3(2.4x+4)=4.1x+7+3.1x\qquad\text{use the distributive property}\\\\(3)(2.4x)+(3)(4)=(4.1x+3.1x)+7\\\\7.2x+12=7.2x+7\qquad\text{subtract}\ 7.2x\ \text{from both sides}\\\\12=7\qquad\text{FALSE}\\\\Answer:\ \text{Zero (no solutions)}.

3 0
3 years ago
Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the
stira [4]

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

d = -33-(-15)

d = -33+15

d = -18

Now, nth term  of an arithmetic sequence is

a_n=a+(n-1)d

Substitute a=-15 and d=-18.

a_n=-15+(n-1)(-18)

a_n=-15-18n+18

a_n=-18n+3

Therefore, the nth term of the given arithmetic sequence is a_n=-18n+3.

4 0
3 years ago
Can please cross multiply this for me :)
Alchen [17]
64 x 100 = 6400
11 x x = 11x
I’ll solve this out for you
11x = 6400
Divide 11 from both sides
x = 581.8
Hope this helps!
4 0
3 years ago
Read 2 more answers
Thirty-one thousand, eight hundred eighty-nine
tangare [24]

Answer:

where is the question?

Step-by-step explanation:

7 0
3 years ago
It's in the picture....................​
lina2011 [118]
I promise this app called brainily is a life saver for algebra problems like this !! It’s not a scam trust me
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3 years ago
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