When Elena throws a shot put during track and field practice, it travels an average of 26 feet with a standard deviation of 3 feet, and the distribution of lengths is approximately normal. Approximately what percentage of her shots will travel less than 23 feet? *

Answers

Answer 1

Answer:

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 26, \sigma = 3[/tex]

Approximately what percentage of her shots will travel less than 23 feet?

This is the pvalue of Z when X = 23. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{23 - 26}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.


Related Questions

Which describes Myra's distance as time increases?
The table shows the total distance that Myra runs over
different time periods.
Time and Distance Ran by Myra
increasing
decreasing
zero
constant
Time
(minutes)
0
2
4
6
8
Distance
(miles)
0.0
0.4
0.8
1.2
1.6

Answers

Answer:

(A)increasing

Step-by-step explanation:

Given the time and total distance ran by Myra in the table below.

[tex]\left|\begin{array}{c|c}Time(minutes)&Distance(miles)\\--&--\\0&0.0\\2&0.4\\4&0.8\\6&1.2\\8&1.6\end{array}\right|[/tex]

We observe that as time increases, Myra's distance also increases. It is the speed(0.2 miles per minute) which is constant.

Therefore Option A is the correct option.

Answer:

its a

Step-by-step explanation:

write an expression,using an exponent,that is equivalent to 6×6×6×6×6​

Answers

The answer is [tex]6^{5}[/tex].

Happy to help!

In a certain​ chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 336 grams of copper. How many grams of zinc does it​ contain? HELP PLSSSS

Answers

2.5 grams of zinc and that’s everything

The population p(in thousands) of colorado springs, colorado is given by p(t)=36e^kt where t represent the year, with t=0 corresponding to the year 2000. In 1980, the population was 215,000. Find the value of k

Answers

Correction

The function is [tex]p(t)=361e^{kt[/tex]

Answer:

k=0.0259

Step-by-step explanation:

The population function is given as: [tex]p(t)=361e^{kt}[/tex]

Where t=0 corresponds to the year 2000.

In 1980, 1980-2000=-20, p(-20)=215

Therefore:

[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]

Answer:

k ≈ 0.44

Step-by-step explanation:

Given the equation

p(t) = 36e^(kt)

In the year 2000, when t = 0, the population

p(0) = 36e^k............(1)

In 1980, when t = -20, the population was 215000

This implies that

215000 = 36e^(-20k)

e^(-20k) = 215000/36

e^(-20k) = 5972.222

Taking natural logarithm of both sides

ln(e^(-20k)) = ln(5972.222)

-20k = 8.695

k = -8.695/20 = 0.435

k ≈ 0.44

Simplify the expression –3 2 . A. 9 B. 6 C. –6 D. –9

Answers

Answer:

see below

Step-by-step explanation:

(-3) ^2

(-3)*(-3)

A negative times a negative

9

If the problem is

- (3) ^2

- (3*3)

- 9

PLEASE HELP WILL MARK BRAINLIEST

Answers

lyme answer is yes no yes no

8 > 7- yes

7 = 7- no

12 > 7- yes

2 < 7- no

please find the kissing number

1,5,25,125,624,????​

Answers

Answer:

The answer is 3125 and I suppose that 624 is meant to be 625

Answer:

The next number should be 3,125

Step-by-step explanation:

1*5=5

5x5=25

25x5=125

125x5=625

625x5= 3,125

x(a-b)=b(c-x)
make x the subject of the formular
pls help meee​

Answers

Answer:

[tex]X(a - b) = b (c - x) : x = - -\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]

Step-by-step explanation:

[tex]X\left(a-b\right)=b\left(c-x\right)[/tex]

Switch sides:

[tex]b\left(c-x\right)=X\left(a-b\right)[/tex]

Divide both sides by; [tex]\:b\ne \:0[/tex]

[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]

Simplify:

[tex]\frac{b\left(c-x\right)}{b}=\frac{X\left(a-b\right)}{b};\quad \:b\ne \:0[/tex]

Subtract [tex]c[/tex] from both sides:

[tex]c-x-c=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]

Simplify:

[tex]-x=\frac{X\left(a-b\right)}{b}-c;\quad \:b\ne \:0[/tex]

Divide both sides by [tex]-1;\quad \:b\ne \:0[/tex]:

[tex]\frac{-x}{-1}=\frac{\frac{X\left(a-b\right)}{b}}{-1}-\frac{c}{-1};\quad \:b\ne \:0[/tex]

Simplify:

[tex]x=-\frac{X\left(a-b\right)-bc}{b};\quad \:b\ne \:0[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

What’s the BLM hashtag and why does it affect our society

Answers

Answer:

The BLM or Black lifes matter is a movements that started with the murther or death of a African american person some days ago

Step-by-step explanation:

Blm: Black lives matter. Everyone has started saying this because after the death of Floyd. People have been protesting and burning breaking buildings, and the blacks and whites are trying to get equality for the blacks!✊✊✊✊

Can you make 142? Numbers given: 2,9,1,7,2,7,5 Using any combination the numbers above and any operations, get the total to be 142. You need to give me at least 4 different ways. You also need to show me how you know your answer is correct. Only one answer can only use two steps, all the rest must have at least three steps. You have to attempt more than just one operation.

Answers

Answer:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

3) 2 × 9² - 7 - 7 - 5 - 1 = 142

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Step-by-step explanation:

1) 2 × 2 × 5 × 7 + 9 -7×1 = 142

Multiply 2 by 2 by 5 by 7 add to 9 then subtract 7 multiplied by 1

2) 9 × 7 × 2 + 5 × 2 + 7 - 1 = 142

Multiply 9 by 7 by 2 by 7 add to 5 multiplied by 2 then add to 7 and subtract 1

3) 2 × 9² - 7 - 7 - 5 - 1 = 2 × 9² - (7 + 7 + 5 + 1) = 142

Multiply 2 by 9 raised to the power of 2 then subtract  the sum of 7, 7, 5 and 1

4) 2 × 7² + 9 + 7 × 5 × 1 = 142

Multiply 2 by 7 raised to the power of 2 then add 9 and add 7 multiplied by 5 multiplied by 1.

Solve the equation for x.
4x + ax = 2(bx + 3)

Answers

Answer:

x = [tex]\frac{6}{4+a-2b}[/tex]

Step-by-step explanation:

Given

4x + ax = 2(bx + 3) ← distribute parenthesis

4x + ax = 2bx + 6 ( subtract 2bx from both sides )

4x + ax - 2bx = 6 ← factor out x from each term on the left side

x(4 + a - 2b) = 6 ← divide both sides by (4 + a - 2b)

x = [tex]\frac{6}{4+a-2b}[/tex]

The sum of two numbers is 39. Their difference is 21. What are the two numbers?

Answers

Answer:

30 and 9

Step-by-step explanation:

x+y=39 , x-y=21

Solve for x:

x+y=39 , x-y=21

x= 30

Substitute x with 30:

(30)+y=39 , (30)-y=21

Solve for y:

y=9

Answer:

30 and 9

Eeexplination;

PLease find attached the question

Answers

Answer: 102.9m

Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.

What is the distance between (–13, 9) and (11, 2) on a coordinate grid?

Answers

Answer:

(13,6)

Step-by-step explanation:

Answer:

(13,6)

Step-by-step explanation:

At an office store, pens are sold by the box with 15 pens per box. The store has 232 boxes to sell. How many pens does the store have to sell? Enter your answer in the box.

Answers

Answer:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Step-by-step explanation:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

A rectangular painting has a length of 8 inches and an unknown width, w. The area of the painting is less than 64 square inches. Which inequality represents the possible values of w? w less-than 8 w greater-than 8 w greater-than 56 w less-than 56

Answers

Answer:

i think is b

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

i dont know sorry:(

n/10.7=3.2
PLEASE HELP!

Answers

Answer:

n=34.24

Step-by-step explanation:

solve for n by simplifying both sides of the equation, then isolating the variable

Step-by-step explanation:

Hope this helps you

Ahhh.. Okay now it's long enough

Question 9 (3 points)

Greg buys a home for $328,500. His home is predicted to increase in value 4% each year.

What is the predicted value of his home in 25 years?

A) $875,727
B) $1,065,456
C) $1.158.324

Answers

The correct answer is B or C
The predicted value is 875727

$2,000,000 is what percent of $10,000,000?

Answers

Answer:

20 percent

Step-by-step explanation:

Answer:Now I'm not that smart but it should be 20%

Step-by-step explanation:if you take the 10 and the the 2, since 10 is acting as the 100% the 2 will be the 20%

Hope that helped

PLZ PLZ HELP ASAP WILL GIVE BRAINLEIST

Answers

Answer:

Sure thing! Volume is length times width times height. It does not matter what order you put the numbers in, though

Step-by-step explanation:

1 is 0.6666666666666666666666666666 infinity

2 is 0.421875

4 is 0.3

5 is 1.3125.

please mark brainliest!!

Answer:

Step-by-step explanation:

1. 1/6 feet

2. 27/64 yards

4. 3/10 inches

5. 21/16 cm

hope this helped you!!

Lucy have $6400 if she invests
$1200 at 15% interest
compounded quarterly?

Answers

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafeteria sometime between 12:15 P.M. And 12:45 P.M. Today you get to the cafeteria at 12:20 P.M. What is the probability that you have missed both friends in the cafeteria?.

Answers

Answer:

11.11% probability that you have missed both friends in the cafeteria

Step-by-step explanation:

We use the uniform probability distribution to solve this question, since each lunch duration is equally as likely.

Uniform distribution:

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]

Probability that you miss the first friend:

Somewhere between 12 and 12:30 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex]

You arrive at 12:20. So if his lunch is 20 or less minutes, you miss him.

[tex]P_{1} = P(X \leq 20) = \frac{20 - 0}{30 - 0} = 0.6667[/tex]

Probability that you miss the second friend:

Somewhere between 12:15 and 12:45 pm, so his lunches are between 0 and 30 minutes, so [tex]a = 0, b = 30[/tex].

You arrive at 12:20. So if his lunch is 5 or less minutes, you miss him.

[tex]P_{2} = P(X \leq 20) = \frac{5 - 0}{30 - 0} = 0.1667[/tex]

Probability that you miss both friends:

Missing the first friend and the second friend are independent events. So we multiply these probabilities.

[tex]p = P_{1}*P_{2} = 0.6667*0.1667 = 0.1111[/tex]

11.11% probability that you have missed both friends in the cafeteria

A line is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?
y = 5x + [?]

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 9 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, thus

y = 5x + c ← is the partial equation

To find c substitute (- 2, - 3) into the partial equation

- 3 = - 10 + c ⇒ c = - 3 + 10 = 7

y = 5x + 7 ← equation of parallel line

A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?

Answers

Answer:

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

--------- = ----------

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

The scale model is 6 inches.

Important information:

A building is 24 feet tall and 40 feet wide. The scale model of this building is 10 inches wide.Scale model:

Let the scale model is [tex]x[/tex] inches tall.

The height and width of the building and the scale model are proportional.

[tex]\dfrac{x}{10}=\dfrac{24}{40}[/tex]

[tex]x=\dfrac{24}{40}\times 10[/tex]

[tex]x=6[/tex]

Therefore, the scale model is 6 inches.

Find out more about 'Scale model' here:

https://brainly.com/question/1664216

Simplify (3/4)^6÷(3/4)^3

Answers

Mark the answer as brainliest, give thanks and also follow me

Answer:

[tex]\frac{27}{64}[/tex]

Step-by-step explanation:

Since we are dividing indices here with fractions, we apply the rule to minus the indices from each other when dividing. So,

[tex]\frac{3}{4} ^{6} -\frac{3}{4} ^{3}[/tex]   =     [tex]\frac{3}{4}^{6-3}[/tex]   =      [tex]\frac{3}{4}^{3}[/tex]    =    [tex]\frac{3 * 3 * 3}{4 * 4 * 4}[/tex]      =      [tex]\frac{27}{64}[/tex]

The sum of 9 consecutive numbers is 279. What is the sum of the first and the last number?

Answers

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

To solve -6x + 4 = -20, what steps would you perform?
A.) subtract 4
b.) add 4
C.) divide 4
D.) multiply four
next
A.)divide-6
B.)add -6
C.)multiply -6
D.) subtract -6

Answers

Answer:

I think they are both wrong

The correct way to solve it is this.

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

[tex]-6x+4-4=-20-4[/tex]

[tex]-6x=-24[/tex]

Step 2: Divide both sides by -6.

[tex]\frac{-6x}{-6} =\frac{-24}{-6}[/tex]

[tex]x=4[/tex]

Answer:

x=4

I hope to help you!!!!

First step is subtract 4 and next option is divided (-6)

So,From first part option A is the correct answer and from next part option A is the correct answer.

What steps would we perform?

This is a problem of equation part of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Here given, equation is [tex] - 6x + 4 = - 20[/tex]

Now,

-6x + 4 = -20

First we are separating variable and constant part.

So first we subtracting 4 from (-20) and get

[tex] - 6x = - 20 - 4[/tex]

or,[tex] - 6x = - 24[/tex]

Now (-24) is dividing by (-6) and get,

[tex]x = \frac{ - 24}{ - 6} \\ x = 4[/tex]

So, value of x is 4.

Equation related one more question:

https://brainly.com/question/10413253

#SPJ2

Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6 sandwiches. Write an equation to determine how many ounces of cheese, c, Noah can use on each sandwich.

Answers

Answer:

24/6=c

Step-by-step explanation:

Well to split 24 you need to divide by 6 and that will equal the answer. An equation always has a equal sign so you know that you would be solving for c

solve for K

k/2+1/2=3

Answers

Answer:k=5

Step-by-step explanation:

K/2+1/2=3

K/2=3-1/2

K/2=5/2

K=10/2

K=5

The Science Club has 6 members, 4 girls and 2 boys. What is the ratio of girls to boys in the Science Club?

Answers

Answer:

4 to 2

Step-by-step explanation:

Answer:

The ration is 2 : 1

Step-by-step explanation:

Out of 6 members, there are:

4 girls

2 guys

Ratio of girls to boys:

girls : boys

4 : 2

Simplify by dividing.

4 ÷ 2 : 2 ÷ 2

2 : 1

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