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3 years ago

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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.

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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Log 54 round to the nearest thousand. <br><br>I got 1.73239

Nonamiya [84]

Type into your calculator (if you haven't already): log 54.

My result: was similar to yours.

Note, however, that we're supposed to round off these results to the nearest thousandths (not thousand).

Your 1.73239 would need to be rounded off to 1.732, with 2 being the nearest thousandths.

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3 years ago

Read 2 more answers

Need help pls I'm having a very hard tim would appreciate for help

Zinaida [17]

Part A
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2/8 × 6/1(drinks) = 12/8cups
banana slice
5/8 × 6/1(drinks) = 30/8cups

30/8 + 12/8 = 42/8 cups<---- that's the answer

Part B
yogurt
4/8 × 6/1 (drinks) = 24/8 cups of yogurt <---
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3 years ago

Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound

KengaRu [80]

Answer:

$x = 28$ ----- Banana

$y = 54$ ----- Almonds

$z = 18$ ---- Chocolate

Step-by-step explanation:

Let

$x \to$ banana

$y \to$ almonds

$z \to$ chocolate

So, we have:

$x + y + z = 100$ --- total used

$4x + 8y + 6z = 652$ -- i.e. 6.52 * 100 --- total sales from 100 pounds

$y = 3z$

Required

The number of pounds of each (i.e. x, y and z)

Substitute $y = 3z$ in $x + y + z = 100$

$x + 3z + z = 100$

$x + 4z = 100$

Make x the subject

$x = 100 - 4z$

Substitute $y = 3z$ in $4x + 8y + 6z = 652$

$4x + 8 * 3z + 6z = 652$

$4x + 24z + 6z = 652$

$4x + 30z = 652$

Substitute $x = 100 - 4z$

$4(100 - 4z) + 30z = 652$

$400 - 16z + 30z = 652$

Collect like terms

$- 16z + 30z = 652-400$

$14z = 252$

Divide by 14

$z = 18$

Substitute $z = 18$ in $x = 100 - 4z$

$x = 100 - 4 * 18$

$x = 100 - 72$

$x = 28$

To calculate y, we have:

$y = 3z$

$y = 3 * 18$

$y = 54$

6 0

3 years ago

Why does the sum of -4 and 3 complain more than the sum of -3 and 5?

Katyanochek1 [597]

Answer:

Negative

Step-by-step explanation:

-4 + 3 = -1

-3 + 5 = 2

if you scramble the leters, you get negative, and -1 is a negative number

8 0

2 years ago

Asked 03.28.2020

snow_tiger [21]

Distance to the farm is 24 miles

Step-by-step explanation:

Step 1: Let the speed of Peggy be x mph. Then the speed of Mike is x + 36 mph. Find the equation of distance for Mike and Peggy to the farm.

Time taken by Mike = 0.5 hr

Time taken by Peggy = 2 hrs

Distance is calculated by the equation Distance = Speed × Time

Distance traveled by Mike = (x + 36) × 0.5

Distance traveled by Peggy = x × 2

Step 2: Equate the 2 distances of Mike and Peggy as they are the same and find x.

(x + 36) × 0.5 = 2x

0.5x + 18 = 2x

1.5 x = 18

⇒ x = 18/1.5 = 12 mph

Step 3: Find the distance to the farm.

Distance to the farm = 2x = 24 miles

4 0

3 years ago