Golfer Lexi Thompson is one of the top golfers on the LPGA tour. The distribution of scores for each of
the more than 700 rounds over her LPGA career is approximately normal with a mean of about u= 70.6
strokes and a standard deviation of about o= 3.2 strokes.
Use the empirical rule to answer the following questions.
What percent of Thompson's Scores are greater than 73.8?
What percent of Thompson's scores are between 64.2 and 67.4

Answers

Answer 1

The percent of Thompson's Scores that are greater than 73.8 is 95%

The percent of Thompson's Scores that are between 64.2 and 67.4 is 69% to 94%

How to find what percent of Thompson's Scores are greater than 73.8

given data

a mean of about 70.6 strokes

a standard deviation of about 3.2 strokes

Applying the 68%, 95%, and 99.7% Rule. This rule says that standard deviations is changed to percentages when:

68% of scores fall within 1 Standard Deviation of the mean.95% of all scores fall within 2 Standard Deviation of the mean.99.7% of all scores fall within 3 Standard Deviation of the mean.

Hence we calculate how many standard Deviations that gives 73.8 as follows

mean ± standard deviation

since the73.8 is greater than the mean we add the SD to the mean

70.6 + 3.2 = 73.8

73.8 is 1 SD but we are looking for value greater than 73.8. This should be just above 73.8, hence from 2 SD which is 95%

What percent of Thompson's scores are between 64.2 and 67.4

Applying the 68%, 95%, and 99.7% Rule

mean ± standard deviation

The numbers asked is less than the mean hence we subtract

70.6 - 3.2 = 67.4    ( 1 SD = 68% )

70.6 - 3.2 - 3.2 = 64.2    ( 2 SD = 95% )

The question asks the percent of Thompson's scores between 68% and 95%. This is 69% to 94%.

The question said between hence the end values are not inclusive

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Related Questions

g(x) = 1/4x + 1
what is g(-16)?

Answers

Answer:

24

Step-by-step explanation:

Name:
15 Hannah took a trip to visit her cousin. She drove
120 miles to reach her cousin's house and the same
distance back home. It took her 1.2 hours to get
halfway to her cousin's house. What was her
average speed, in miles per hour, for the first 1.2
hours of the trip? Hannah's average speed for the
remainder of the trip to her cousin's house was 40
miles per hour. How long, in hours, did it take her
to drive the remaining distance? Traveling home
along the same route, Hannah drove at an average
rate of 55 miles per hour. After 2 hours her car
broke down. How many miles was she from home?

Answers

Distance was 10 miles away from home.

What is Distance ?

The measurement of distance is the separation between two objects or points, and it can be quantitative or occasionally qualitative. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
For a journey to see her cousin, Hannah traveled. She traveled 120 miles one way to visit her cousin and 120 miles the other way to return home.

She traveled halfway to her cousin's home in 1.2 hours.
That is 120 / 2 = 60 miles
(Speed = distance/time) 60 miles in 1.2 hours
Average speed = 60 / 1.2

                          = 50 mph.

For the remainder of the journey to her cousin's home, Hanna's average speed was 40 miles per hour.
Another 60 kilometers remain: Time (= Distance/Speed)
Time = 60/40

         = 1.5 hours.

Hanna averaged 55 miles per hour when she made her way home along the same path. Her automobile broke down after two hours.

Find the distance traveled at 55 mph in 2 hours. (Distance = time * speed)

Distance = 55 * 2 = 110miles

So distance from home will be,

= 120 - 110

= 10 miles

Hence, she was 10miles away from her home

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PLEASE HELP Create a scatter plot for the data below.
Title the graph. Determine an appropriate scale for the x and y axis. Determine an appropriate interval for the x and y axis. Title the axes

Answers

A scatter plot for the data shown in the table is plotted and illustrated in the attachment below.

What is a scatter plot?

A scatter plot is also referred to as scatter diagram, scatter chart, or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

In this scenario, the text messages would be plotted on the x-axis of the scatter plot while the age would be plotted y-axis of the scatter plot as depicted in the image attached below.

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Pls help me finish my maths homework

Answers

Answer:

answer is 4

because y is directly proportional to x2

Answer:

y is directly proportional to x

y=kx^2

20=2^2k

20=4k

k=5

y=6k

y=6(5)

y=30

Plssmark as brainliest

please help meeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

b. power of a quotient law

what integer represent the total charge of 9 neutrons

Answers

It would be 3 because it divides by 3

Select the correct answer.
What is this expression in simplified form?
5√2-9√6

Answers

The correct answer by simplifying 5√2-9√6 is:

- 14.974

Simplification:Simplify  means to make something easier to understand. Simplify or simplification in mathematics refers to reducing an expression/fraction/problem to a simpler form. It simplifies the problem by calculating and solving it.

Steps to simplify square roots:

Find the radicand's largest factor that is a perfect power of the index.Using that factor, rewrite the radicand as a product of two factors.Rewrite the radical as the product of two radicals using the product rule.Simplify the perfect power's root.

Here given the expression,

  5√2-9√6

simplifying the expression,

5√2 - 9√6

= 5√2 - 9√2 x √3

= - 14.974

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Find the measure of the missing angles.

Answers

Answer:

ok

Step-by-step explanation:

c is  85

360-170

190/2

95

c=85

b=95

Determine whether each number is rational or irrational.

Answers

Answer:

All four of these numbers are rational.

The question is in the photo, I thought they were all wrong, so I am super confused. Whoever proves me wrong gets 15 points.

Please make sure you know what you are doing before you answer.

Answers

If the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B)  (6×16×6)+(14×16×7)

The steps are shaped like rectangular prism

The length of the rectangular prism = l×w×h

Where l is the length

w is the width

h is the height

First we have to separate the given steps in to two rectangular prism and find the volume of each prism

The volume of the top prism = l×w×h

= 6×16×6 cubic inches

The volume of the bottom prism = l×w×h

= 14×16×7 cubic inches

The total volume = (6×16×6)+(14×16×7) cubic inches

Hence, if the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B)  (6×16×6)+(14×16×7)

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Explain how you would use the commutative property to simplify 8x + 4 + 6x +2.

Answers

The commutative property is a mathematical property that states to combine like terms. Like terms are terms that have the same variables and powers.

In the given:

8x + 4 + 6x +2

By adding 8x and 6x, and 4 + 2, you are using the commutative property to simplify this expression.

8x+6x = 14x

4+2=6

The simplified equation is 14x + 6

-------

If you would like to further simplify this expression, factor out the greatest common factor.

The further simplified expression would look like: 2(7x + 3)

10x(-5)+(-6) squared

Answers

Answer:-50x+36

Step-by-step explanation:

Answer:

-50+36

Step-by-step explanation:

i hope that helps

7/10 + 2/5 + 3/4
Please help-

Answers

Answer: 37/20 1 17/20

Step-by-step explanation:

Hope this helps

Answer:

93/20

Step-by-step explanation:

7/10 + 2/5 + 3/4

= (70+8+15)/20 [.°. L. C. M. of 10, 5 , 4 ]

=93/20

Subtract the expressions.

(4.97n − 3.6) − (3 + 15.6n)

−10.63n − 6.6
−106.30n − 0.6
8.57n − 18.6
20.57n + (−6.6)

Answers

The value of subtracting the expressions (4.97n − 3.6) − (3 + 15.6n) is -10.63n − 6.6

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to subtract the expression?

The expression is given as

(4.97n − 3.6) − (3 + 15.6n)

Start by opening the brackets

So, we have

(4.97n − 3.6) − (3 + 15.6n) = 4.97n − 3.6 − 3 - 15.6n

Next, we collect the like terms

So, we have

(4.97n − 3.6) − (3 + 15.6n) = 4.97n  - 15.6n − 3.6 − 3

Next, we evaluate the like terms

So, we have

(4.97n − 3.6) − (3 + 15.6n) = -10.63n − 6.6

Hence, the value of the expression is -10.63n − 6.6

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The Grand Answer is....

A!

I got the exam right...

Can I get brainliest?

work out the vaule of 2^0

Answers

Answer:

Any number raised to 0 is equal to 1

hence: 2^0 = 1

if three sides of an equilateral triangle measures 3X +12, 8X -3 and 5Y plus one what is the value of X and Y in the length of each side

Answers

The value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4

In this question we have been given the equations for the three sides of an equilateral triangle.

3X +12, 8X -3 and 5Y + 1

We need to find the value of X and Y.

We know that all sides of an equilateral triangle are equal.

so, 3X +12 = 8X -3 = 5Y + 1

Consider 3X +12 = 8X -3

3X -8X = - 3 - 12

-5X = - 15

X = 3

Now consider an equation 8X - 3 = 5Y + 1

substitute above value of X in this equation.

8(3) -3 = 5Y + 1

24 - 3 = 5Y + 1

21 - 1 = 5Y

5Y = 20

Y = 4

Therefore, the value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4

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Simplify these expressions
a) x x x x x xу ху
b) 2 xx x x x 3 ×ухуху

Answers

Answer:

a) x^7 y^2

b) 6 x^8 y^3

Step-by-step explanation:

Exponential expressions

a) x x x x x xу ху

There are 7 x 's in the expression and 2 y's  The number of the x's is the exponent for x is the exponent and the same for y

x^7 y^2

b) 2 xx x x x 3 ×ухуху

Multiply the constants 2*3 = 6

Count the x's 8 x's  = x^8

Do the same for y 3 y's  = y^3

6 x^8 y^3

what is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (round your answer to four decimal places.)

Answers

The probability that maximum speed differs from the mean value by at most 1.5 standard deviations is 0.1336.

What is probability?

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. It is written as, P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability will be illustrated as:

P(|Z|>1.5)

= P(Z<-1.5) + P(Z>1.5)

= 2*P(Z<-1.5)

Look at the value under the distribution table. This is 0.0668.

= 2 × 0.0668

= 0.1336

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The midpoint of AB is M(3, 1). If the coordinates of A are (4, 3), what are the
coordinates
of B

Answers

b= (2,-1);

(3,1) - left 1, down 2

Eight leaders and 143 members of a youth club go by bus to a bowling alley.
The Beezer Bus Company has buses for hire that hold 32 passengers each.
Each bus costs £140 to hire.
The cost is split equaly between the members.
The leaders do not pay.
How much does each member need to pay to cover the cost of hiring the buses?
£....
(3 m

Answers

Each member of the club needs to pay £ 4.895 to cover the cost of hiring the buses.

A youth club's 143 members and eight leaders ride a bus to a bowling alley.

The buses for hire by the beezer bus company hold 32 passengers each.

The cost of each bus to hire is £140.

There are eight leaders and 143 members.

Therefore, there are a total of 143 + 8 = 151 passengers.

So, the number of buses required will be:

= 151 / 32 =  4.7 ≈ 5 buses

Therefore, the cost of hiring 5 buses will be:

= 5 × £140 = £ 700

As the eight leaders will not ay.

Therefore, the amount each member needs to pay is:

= £ 700 / 143

= £ 4.895

Each member of the club needs to pay £ 4.895 to cover the cost of the buses.

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What is the answer to this step by step?

|3-6|³ + 72 ÷ 9

Answers

Answer:17

Step-by-step explanation:

|-3|^3 + 8

3^3 +8

9+8

17

Absolute value of 3-6 is 3
3^3 is 27
27+72/9
PEMDAS
27+8
35

If f(x) = –3(1 – x – 4x2) give f-3.

Answers

Answer:

12

Step-by-step explanation:

we enter -3 in for all the x's and rewrite the problem.

-3 (1 - (-3) -4 • 2)

then we calculate ending up with the next problem.

-3 • (-4)

then we simply multiply and end up with 12 as our answer, hope this helped!

3. Find the missing part to make the number sentences true.
a.
8 + 0 = +4
d.
5+ = 6 +0
b.
7+2=9+0
e.
6 +
= 4 + 3
C.
5+2=4+
f.
5+4= +3

Answers

a. 8 + 0 = 4 +4

d. 5+1 = 6 +0

b. 7+2=9+0

e. 6 +1= 4 + 3

C. 5+2=4+3

f. 5+4= 6+3

How can I locate a lost number?

Missing numbers are those that were omitted from the offered series of numbers with comparable discrepancies. Finding similar differences between the missing numbers and adding their missing values to the appropriate series is how the missing numbers are written.

example

Children are frequently asked to solve number sentences, which are compositions of numbers and mathematical processes. Number phrases contain the following: 32 + 57 =? 5 x 6 = 10 x?

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42. Expanding Circle The radius of a circle is increased from 2.00 to 2.02 m. (a) Estimate the resulting change in area. (b) Estimate as a percentage of the circle's original area.​

Answers

The change in area is 0.8π [tex]m^{2}[/tex] and percentage is 20%.

What is change in area?

Let A denotes the area of the circle when its radius is r, then A=πr2 Now, the rate of change of the area with respect to its radius is given by, dA dr = d dr(πr2) = 2πr When r= 4cm,(dA dr)r=4= 2π(4) = 8π cm2 per cm Hence, the area of the circle is changing at the rate of 8πcm2/cm

Given,

initial radius = 2m

increased radius = 2.02 m

change in radius dr = 2.02 - 2 = 0.02m

Area = π[tex]r^{2}[/tex] = 4π

dA = 2πrdr

=2π(2)(0.02)

=0.08π [tex]m^{2}[/tex]

Estimated percentage = 0.08/4×100

=2%

Hence, the estimated percentage is 2%.

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What is an equivalent expression for −12(8a − 7b) + 8(4x + 3y)?

−96a + 84b + 32x + 24y
−96a − 84b + 32x − 24y
−96a − 7b + 32x + 3y
−96a + 7b + 32x + 3y

Answers

The expression which is equivalent to −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.

The correct answer option is option a

How to find equivalent expression?

Equivalent expression are expressions which when solved, the results are equal to the old expression.

-12(8a − 7b) + 8(4x + 3y)

Using PEMDAS

P = parenthesisE = ExponentialM = MultiplicationD = DivisionA = AdditionS = Subtraction

- 12(8a − 7b) + 8(4x + 3y)

open parenthesis

- 96a + 84b + 32x + 24y

Therefore, the equivalent expression for −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.

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Which estimate best describes the area under the curve in square units?

Responses

10 units²
10 units²

15 units²
15 units²

30 units²
30 units²

35 units²
35 units²
A curve is graphed on a coordinate plane. The horizontal x-axis ranges from 0 to 5 in increments of 0.5. The vertical y-axis ranges from 0 to 10 in increments of 1. The curve passes through begin ordered pair 0.5 comma 3 end ordered pair, begin ordered pair 2.5 comma 5 end ordered pair, begin ordered pair 3.5 comma 4 end ordered pair, and begin ordered pair 4 comma 2 end ordered pair. The region below the curve is shaded blue.

Answers

The estimate that best describes the area under the curve in square units is option B: 15 units².

What does the area under a curve represent?

The area under a curve in calculus is a picture of an integral. It is frequently possible to interpret the area under a curve as the total amount of whatever the function is describing.

By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to tell about the area under the curve y = f(x) between x = a & x = b.

Therefore, each box:

0.5 × 1 = 0.5 units^2.  Then add up the boxes, and it is about  30. So:

30×0.5 = 15 units².

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Which graph represents the solution to the inequality 2(b + 2) ≥ 24?

number line with open point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing right
number line with open point at 10 with arrow pointing right

Answers

For the given inequality 2(b + 2) ≥ 24 solution of the graph represented by number line with closed point at 10 with arrow pointing right.

As given in the question,

Given inequality is :

2(b + 2) ≥ 24

Solution of the given inequality 2(b + 2) ≥ 24 is equal to :

2(b + 2) ≥ 24

Divide both the sides by 2

[2(b  + 2 )] / 2 ≥ 24 /2

Subtract 2 from both the sides

b + 2 -2 ≥ 12 - 2

⇒ b ≥ 10

Interval form is represented by [10, ∞)

Solution of the graph represent 10 is included to arrow moves towards positive infinity.

Therefore, for the given inequality 2(b + 2) ≥ 24 solution of the graph represented by number line with closed point at 10 with arrow pointing right.

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what is the remainder when 5^400 is divided by 19

Answers

The remainder when [tex]5^{400}[/tex] is divided by 19, the remainder is 17.

Remainder

The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.

We can write,

[tex]5^{400} = (5^4)^{100} = 625^{100}[/tex]

We know that,

19*33 = 627

Hence, we can write 625 as 627 - 2

It will become,

[tex]\frac{(627-2)^{100}}{19}=\frac{(-2)^{100}}{19}[/tex]

We know that, even power of any number and its negative counterpart will be same.

Hence, we can write,

[tex]\frac{(-2)^{100}}{19}=\frac{(2)^{100}}{19} = \frac{2*2^{99}}{19}[/tex]

We know that 99 = 11*9

Hence, we can write,

[tex]\frac{2*({2^9})^{11}}{19} =\frac{2*512^{11}}{19}[/tex]

We know that,

19*27 = 513

Hence, we can write, 512 as 513 - 1

[tex]\frac{2*(513-1)^{11}}{19}=\frac{2(-1)^{11}}{19}[/tex]

2*(-1)/19 = -2/19

It means the remainder will be 19 - 2 = 17.

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Mike took Jen bowling for the first time. He
bowled two games with scores of 157 and 175.
Jen had never bowled before and scored 78 and
98. What was Mike's average score?

Answers

Mike's average score is 166.

What is average?

Divide the total by the number of numbers after adding up all the numbers.

Implying something that sits in the midst. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated.

Given Data

Mike bowled two games with scores of 157 and 175.

Sum of scores = 332

Average = [tex]\frac{Sum of scores}{Totak number of bowling}[/tex]

Average = [tex]\frac{157 + 175}{2}[/tex]

Average = [tex]\frac{332}{2}[/tex]

Average = 166

Mike's average score is 166.

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The difference of 3 times a number x and 12 is -24.
Write and solve an equation to find the number.
Equation=
X = ?

Answers

The answers are
(3x-4)-12=-24
X=4
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