The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean? please provide explination

Answers

Answer 1
We shall use the z-table to solve for the margin of error. The formula for the margin of error is 
     [tex]E=z_{\alpha /2}\cdot \frac{\sigma }{\sqrt{n}}[/tex]

The value of z will be taken with the assumption that the significance level is 5%. So, α=0.025. Then [tex]z_{\alpha \:/2}=1.96[/tex].

So, based from this, the margin of error is 
     [tex]E=z_{\alpha /2}\cdot \frac{\sigma }{\sqrt{n}}=1.96\cdot \frac{0.043}{\sqrt{15}}=0.02[/tex]

The margin of error is about 2%. 

Related Questions

( Please help me, the year is ending and I'm almost at a failing grade): ) An athlete is running along a circular path that has a diameter of 250 yards. The arc traveled by the athlete is 120 degrees. Using 3.14 for (symbol that looks like two Ts that are connected), how many yards did the athlete run? Round the answer to the nearest yard.

Answers

For this case the arc length is given by:
 S = R * theta
 Where,
 R: radius of the circle
 Theta: central angle
 Substituting values we have:
 S = (250/2) * (120) * (3.14 / 180)
 S = 261.6666667 yards
 Round to the nearest yard:
 S = 262 yards
 Answer:
 
the athlete ran:
 
S = 262 yards

To find the distance an athlete ran on a circular path with a diameter of 250 yards and an arc length of 120 degrees, calculate the arc length using the radius and angle in radians. The athlete ran approximately 262 yards.

To find the distance the athlete ran around a circular path with a given arc length of 120 degrees and a diameter of 250 yards, first, determine the radius of the circle:

Radius (r) = Diameter / 2 = 250 yards / 2 = 125 yards

Convert 120 degrees to radians: 120 degrees × π / 180 = 2π / 3 radians

Calculate the arc length using the formula: Arc Length = Radius × Angle in radians = 125 yards × 2π / 3 = 250π / 3 ≈ 261.8 yards

Therefore, the athlete ran approximately 262 yards.

(-6-8i) + (-6-i)
study island question please help

Answers

You can treat "i" as though it were a variable and combine like terms in the usual way.
  = (-6+(-6)) +(-8 +(-1))i
  = -12 -9i

Or, you can let your calculator do it.

At the school book sale, Michael bought 3 books for $6. Darnell bought 5 books for $10. Are these rates proportional?

Answers

Michael:
3 books = $6
1 book = $6 ÷ 3 = $2

Darnell:
5 books = $10
1 book = $10 ÷ 5 = $2

Both Michael and Darnell bought their book at $2/book. The rates are proportional.

Answer Yes, the rate of proportional.
3 for $6 = 6/3 = $2/book
-------------↑-----------------
             Michael
_____________________________________________________________

5 for $10 = 10/5 = $2/book
---------------↑-------------------
              Darnell
_____________________________________________________________

Yes,they can form a proportion because they are equal

Hope this helps :)

Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?

Answers

The 202nd term in the sequence is 1010.

Answer:

answer is : A. 1010

Step-by-step explanation:

Simplify the following expression.

[tex]4a^{-2} b [/tex]

Answers

The first step for solving this expression is to express with a positive exponent using [tex] a^{-n} X \frac{1}{ a^{2}} X b[/tex].
4 × [tex] \frac{1}{ a^{2} } [/tex] × b
Now calculate the product.
[tex] \frac{4X1b}{ a^{2} }[/tex]
Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:
[tex] \frac{4b}{ a^{2}}[/tex]
Let me know if you have any further questions.
:)

Answer: C

Step-by-step explanation:

The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.

On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.

Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?

a. Lisa walked about 400 yards farther than Deanna.

b. Lisa walked the same distance as Deanna.

c. Lisa walked about 400 yards less than Deanna.

d. Lisa walked about 400 yards.

What is a​ population?. a population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector.
b. a population is a set of data.
c. a population is the set of all the properties that can be assigned to any people or objects in a given sample.
d. a population is a group that exhibits characteristics typical of those possessed by the target sample?

Answers

I think that is the letter (a)

The term population is the set containing all the people or objects whose properties are to be described. Hence, option (a) is correct.

What is Population?

A community is a distinct group of people, creatures, or other objects that can be recognized for the purposes of data gathering and analysis by at least one shared trait.

The majority of the time, data is collected from samples in order to learn more about huge populations. For instance, market researchers might randomly contact a small percentage of the town's subscribers to major carrier services who were born between 1980 and 2004 if they wanted to obtain representative statistics for Millennial consumers of mobile phones who did not have a landline in New York City (the population).

To know more about Population:

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please help with math? will give branliest!!
2. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the median each type of monkey.
(b) Calculate the mean for each type of monkey.
(c) Calculate the MAD for each type of monkey.
(d) Calculate the means-to-MAD ratio for the two types of monkeys.
(e) What inference can be made about the weight of both types of monkeys? Explain.
Answer:

Answers

howler 17 17 0.75
spider 14 14 1

The median of howler monkey is, 17

And, Median of spider monkey is, 14

The mean for the howler monkeys is 17 and the MAD is 0.8571.

The mean for the spider monkeys is 14 and the MAD is 1.1429.

The means-to-MAD ratio is 2.6249.

This means that on average, the number of mean absolute deviations that separate the means is 2.6.  This means they are different.

Find the median of data set as;

For howler monkey;

There are 8 number of howler monkey.

Hence, Median is,

= (8/2 + 1)

= 5 th term

= 17

For spider monkey;

There are 8 number of spider monkey.

Hence, Median is,

= (8/2 + 1)

= 5 th term

= 14

To find the mean of the howler monkeys, add all of the data values and divide by 7:

= (15+16+17+17+17+17+18+19)/7

= 119/7

= 17

To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:

= (|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7

= (2+1+0+0+0+0+1+2)/7

= 6/7

= 0.8571

And, Repeating these processes for the spider monkeys:

Mean:

(12+13+13+14+14+14+16+16)/7

= 98/7

= 14

And, MAD:

= (|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7

=(2+1+1+0+0+0+2+2)/7

= 8/7

= 1.1429

To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:

17-14=3;

Hence, We get;

3/1.1429 = 2.6249

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Please help me with my question

Answers

Television 
A=w *l=w* 5w=5w²
w=x+7, x- width of tablet
A=5(x+7)²=5(x²+14x+49)= 5x²+70x+245
A(television)=5x²+70x+245
"at least" means more or equal,so
5x²+70x+245≥1,050 - the answer

If tablet has width 8, x=8,
then
5*8²+70*8+245≥1050
1125≥1050 True,
so we can say
Yes, 8 in is a reasonable size for Adrew's tablet.


Use a calculator to find the approximate value of sin-1( 0.655).

Answers

arcsin(0.655) ≈ 40.9196° ≈ 0.714183 radians

Answer:

Radian = 0.7142

Degree = 40.92°

Step-by-step explanation:

Given: [tex]\sin^{-1}(0.655)[/tex]

Let, [tex]y=\sin^{-1}(0.655)[/tex]

It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.

The value of y in two form radian or degree

Using calculator to find the value of y

In radian,

[tex]y=0.7142[/tex]

In degree,

[tex]y=40.92^\circ[/tex]

Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°

the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds on mars.if an object weighs 135 pounds on earth how much does it weigh on mars

Answers

It will weigh 79 pounds on mars 

We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.  

Let y be weight of an object on Mars and x be weight of an object on Earth.

[tex]\\ y=kx[/tex]

We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.

Putting the given values in equation we get

[tex]\\ 34=k(90)\\ \\ k=\frac{34}{90}=\frac{17}{45}[/tex]

Therefore, our equation now becomes

[tex]\\ y= \frac{17}{45}x[/tex]

Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,

We have been given that [tex]\\ x=135[/tex]

Putting the given values in our equation we get

[tex]\\ y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51[/tex]

Therefore weight of the object on Mars will be 51 pounds.

                                                                             

Part 1 (Unit 2): Subtract Polynomials:

(3−6n5−8n4)−(−6n4−3n−8n5)

Part 2 (Unit 3): Solve this quadratic equation. Show all your work (steps) for full credit:

4x2−2x−5=0

Answers

Part 1
 We have the following polynomials:
 (3-6n5-8n4)
 (-6n4-3n-8n5)
 Subtracting the polynomials we have:
 (3-6n5-8n4) - (- 6n4-3n-8n5)
 n5 (-6 + 8) + n4 (-8 + 6) + 3n + 3
 Rewriting:
 2n5 - 2n4 + 3n + 3

 
Part 2
 
For this case we have the following polynomial:
 4x2-2x-5 = 0
 Using resolver we have:
 x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 x = (- (- 2) +/- root ((- 2) ^ 2 - 4 * 4 * (- 5))) / (2 * 4)
 x = (2 +/- root (4 + 80)) / (8)
 x = (2 +/- root (84)) / (8)
 x = (2 +/- root (4 * 21)) / (8)
 x = (2 +/- 2raiz (21)) / (8)
 x = (1 +/- root (21)) / (4)
 The roots are:
 
x1 = (1 + root (21)) / (4)
 
x2 = (1 - root (21)) / (4)

what is f(5) if f(x)=8x-3

Answers

It would be f(x)=37

Answer:

f(5)=37

Step-by-step explanation:

We have the function f(x)=8x-3,

f(5) is the value of the function f when x=5, then you have to replace f(x) with x=5,

f(x)=8x-3

f(5)=8.(5)-3

f(5)=40-3

f(5)=37

What is the equation for a circle that has a center at -6,5 and passes through the point -11,3?

Answers

(x + 6)² + (y - 5)² = r²
(-11+6)² + (3-5)² = r²
   (-5)²    +  (-2)²  = r²
    25     +    4     = r²
            29          = r²

Answer: (x + 6)² + (y - 5)² = 29

Hal’s sporting Goods had a 1 day sale. The original price of a mountain bike we 325. In a sale it was 276.25. What is the percent decrease for this sale?

Answers

Well, the decrease of the amount would be $48.75 then you would divide this by how the original price which is $325, so the answer would be about 6% decrease.
Decrease = 325 - 276.25 = $48.75

Percentage decrease = 48.75/325 x 100 = 15%

Answer: 15%

Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00, 0) C) (2.58, 0) D) (3.00, 0)

Answers

The function f(x) = 6^(x)-2 has an x-intercept at approximately (0.39, 0)
              f(x) =  0 = 6^(x) - 2
                        2  = 6^(x)
       log(2)/log(6)= x
                          x = 0.3868 = 0.39
The answer to this question is A) (0.39, 0).

put the following equation in slope intercept form: 3x - 2y = 14

Answers

y = 2/3x - 7

Subtract the x term from both sides and then divide by -3. 

4 students ran for class president. In the elction, Mario got 40% of the votes. Jazmyne got 35% of the votes, Arturo got 10%,and Rachel got 60 votes. How many students voted?

Answers

Rachel = 100% - 35% - 40% - 10% = 15%

15% = 60 votes

1% = 60 ÷ 15 = 4 votes

100% = 4 x 100 = 400 votes


Answer: 400 students voted

The side of a square measures 3mn^2. What is the area of the square if m=4 and n= -2

Answers

Your question was wrong. I had to watch the photo.

-2²=4
4(4)=16
16(3)=48
48²=2304


When I read your text I though this:
4(-2)=-8
-8(3)=-24
-24²=576
576²=331 776

Calculus question... I need help understanding thanks.
Calculate Гx^3dx

Answers

Apply the power rule:

[tex]\displaystyle\int x^3\,\mathrm dx=\dfrac{x^4}4+C[/tex]

which holds since

[tex]\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac{x^4}4+C\right]=\dfrac{4x^3}4+0=x^3[/tex]

Solve by factoring AKA zero product property method. If the equation has no real solutions, write no real solutions.
3. x^2 − 5 + 4 = 0
4. x^2 + 7 + 12 = 0

Answers

Hello,

[tex]1)\\ x^2-5x+4=0\\ x^2-4x-x+4=0\\ x(x-4)-(x-4)=0\\ (x-4)(x-1)=0\\ Sol=\{1;4\}\\\\ 2)\\ x^2+7x+12=0\\ x^2+3x+4x+12=0\\ x(x+3)+4(x+3)=0\\ (x+3)(x+4)=0\\ Sol=\{-4;-3\} [/tex]

44 points, please answer this question ASAP!

Answers

add the 5 amounts:

-10 + -23 = -33

-33 + 8 + 7 + 3 = -15 cents
 now divide by the number of changes (5)


-15 / 5 = -3 cents
 the mean change is -3 cents

Answer:

-3

Step-by-step explanation:

mean = sum of terms/number of terms

mean = (-10-23+8+7+3)/5

mean = -15/5

mean = -3

Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound
A. 1 pound/16 ounces
B. 16 ounces/ 1 pound
C. 1 ounce/ 88 pounds
D. 88 ounces/ 1 pound

Answers

Your answer would be B. 16 ounces/1 pound

Answer:

The ratio that we use to convert 88 pound to ounces is:

B. 16 ounces/1 pound

Step-by-step explanation:

There are 16 ounces in 1 pound

i.e. 1 pound=16 ounces

     88 pound=88 pound × 16 ounces/1 pound

Hence, the ratio that we used to convert 88 pound to ounces is:

B. 16 ounces/1 pound

6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:

Answers

The first equation is 6x - 2y = 10. To solve for y, you will use inverse (opposite) operations to undo what is happening to y.  Please see the steps below for the work.

6x - 2y = 10
-6x          -6x
-2y = (-6x + 10)
-2            -2
y = 3x - 5

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6

A. x^33
B. 3x^29
C. 729x^29
D 729x^33

Answers

[tex](3x^ \frac{7}{2} )^6(x^2)^6= (729x^{21})(x^{12}) = 729x^{33}[/tex]
The correct option is: Option (D) 729x^33

Explanation:
Given expression: 
[tex](3x^{7/2})^6 (x^2)^6 \\ (3^6x^{42/2})(x^{12}) \\ 729x^{21+12} \\ 729x^{33} \\[/tex]

Which is option (D)

A bag contains 8 blue marbles 5 red marbles and 2 orange marbles , Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection . What is the probability that two blue marbles were selected

Answers

Initial total number of marbles: 8 + 5 + 2 = 15
Initial number of blue marbles: 8

First pick:
p(blue marble) = 8/15

Since the marble from the first pick is returned to the bag, the bag still contains 8 blue marbles and a total of 15 marbles.

Second pick:
p(blue marble) = 8/15

Overall:
p(blue marble followed by blue marble) =
= p(blue marble) * p(blue marble)
= 8/15 * 8/15
= 64/225

!!!!PLEASE HELP, WILL GIVE BRIANLIEST!!!!

Which three-dimensional figure is formed by the rotation given?

The first picture is the rotation, the rest are the choices.

Answers

Hello!

The rotation creates a bowl or known as a  paraboloid

The answer is the third one

Hope this helps!

A toy store marks up wooden yoyos 50%. If the wholesale price of each yoyo is $2.20, what will be the price per yoyo at the cash register?

Answers

To find the price of the yoyo at the cash register, you will start with the wholesale price of $2.20 and increase it by 50%.  To calculate the final price after the markup, you will add 100% (all of the original price) to the 50% to get 150%.

150% of $2.20
1.5 x 2.2 = 3.3

The price at the register is $3.30.

Answer:

1.10

Step-by-step explanation:

because 2.2o divided by half 1/2 or 50% off is 1.10 to check your work it is 1.10+1.10=2.20

2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?

Answers

Percentage of red haired students = 2%
Total number of students = 700

Therefore,
Number of students with red hair = Total number*Percentage of the red haired students = 700*2/100 = 14

Then, 14 students have red hair.

Answer:

14 students have red hair.

Step-by-step explanation:

In Hamilton Middle School 2% of the students have red hair .

Total number of students in the school = 700

We have to calculate the number of students who have red hair.

2% of 700 students.

= [tex]\frac{2}{100}[/tex] × 700

= 0.02 × 700

= 14 students.

14 students have red hair in Hamilton Middle School.

7^-5 times 7^3 equals what, I need help asap please

Answers

Your answer is 7^(- 2) or [tex] \frac{1}{ 7^{2} } [/tex] or [tex] \frac{1}{49} [/tex]

The center of a circle is at (-5, 7) and its radius is 6 units. Which of the following is the equation for this circle?

A) (x - 5)2 + (y + 7)2 = 36
B) (x + 5)2 + (y - 7)2 = 36
C) (x - 5)2 + (y + 7)2 = 12
D) (x + 5)2 + (y - 7)2 = 12

Answers

Answer:
Option B, (x + 5)² + (y - 7)² = 36

Explanation:

The equation for a circle is (x - h)² + (y - k)² = r² where r represents the radius of the circle and the center is ordered pair (h, k).

We can then plug the given information into the formula and simplify where possible.

Center at (-5, 7), radius = 6:
[x - (-5)]² + (y - 7)² = (6)²

(x + 5) + (y - 7)² = 36, which matches option B.

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Casey rides a very fast bicycle on flat terrain but has difficulty climbing hills. Which solution would improve the performance of the bicycle on hills A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? 1 over 20 1 over 5 1 over 4 9 over 20 14 m equals how many mm solve the system of equations by substitution +y=44 y=10x Mathilde et Bernadette sont _____ de Paris.venuesvenuevenuvenus What is the function of a production patternmaker?A. to maintain the quality of a garment B. to perfect the sample pattern C. to ensure timely delivery of fabric D. to estimate the manufacturing cost for a garment Why has the capital of El Salvador been rebuilt several time?The answer is Natural disasters such as earthquakes and floods. ______________ is process that you can do over and over, where each result does not affect the next.Ex. Flipping a coin, rolling dice, choosing a card, etc. when you detect your emotions dominating your judgement and actions you should practice a technique called Which class of compounds is responsible for the scents and flavors of many fruits? amides amines ethers esters The current through inductance L is given by I=I0et/ A.) Find an expression for the potential difference VL across the inductor. B.) Evaluate VL at t=0s , if L=15mH , I0=36mA , and =1.1ms C.) Evaluate VL at t=1ms , if L=15mH , I0=36mA , and =1.1ms D.) Evaluate VL at t=2ms , if L=15mH , I0=36mA , and =1.1ms E.) Evaluate VL at t=3ms , if L=15mH , I0=36mA , and =1.1ms having trouble biology The beginning balance in Cash was $3,500. Additional cash of $2,000 was received. Checks were written totaling $2,500. The cash balance is Question 3 options: $2,000. $6,000. $4,500. $3,000. Bacteria more easily adapt to changing environments than elephants because bacteria __________. Evaluate.7 with a 3 on topA) 21 B) 49 C) 81 D) 343 In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing? A plane left on time at noon on Monday. It arrived at its destination at 8:16PM the same day, which was 16 minutes late. On average, how many seconds did the plane fall behind every fifteen minutes? There were hopes that (the Good Friday Agreement or ethnic cleansing) would provide for a peaceful resolution on the conflict in Northern Ireland The famous church in the Byzantine empire is the Sistine Chapel. Please select the best answer from the choices provided T F use formulas to find the lateral and surface are of the given prism the numbers are 5.39m 26m 5m 2m