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?
Answers
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%. The margin of error of the sample mean is 83.71%.
Answer:
See image
Step-by-step explanation:
Plato
Related Questions
The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?(–3, –7) (3, –7) (24, –7) (–24, –7)
3m - 3(m+8) > 3m(Teacher didn't go over this hopefully I can get an explanation)
Simplify the expression (3+5)6
A hat costs $25. Tax is 8%. How much is the tax on the hat?
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive?
, mutually exclusive
, not mutually exclusive
, mutually exclusive
, not mutually exclusive
Answers
and don't see how it relates to the question.
There are 36 possible outcomes for the roll of a pair of dice.
According to your specifications, the successes are:
-- Multiples of 3:
1 ... 2 (3)
2 ... 1
3 ... 3 (6)
1 ... 5
5 ... 1
2 ... 4
4 ... 2
3 ... 6 (9)
6 ... 3
4 ... 5
5 ... 4
6 ... 6 (12)
(12 different outcomes)
-- Even numbers:
1 ... 1 (2)
1 ... 3 (4)
3 ... 1
2 ... 2
3 ... 3 (6)
1 ... 5
5 ... 1
2 ... 4
4 ... 2
2 ... 6 (8)
6 ... 2
3 ... 5
5 ... 3
4 ... 4
4 ... 6 (10)
6 ... 4
5 ... 5
6 ... 6 (12)
(18 different outcomes)
The events are NOT mutually exclusive.
A roll of 6 (5 ways) or 12 (1 way) meets both requirements.
Successful outcomes:
Multiples of 3 . . . . 12
Even numbers . . . 18
Duplicates . . . . 6
So there are 24 different successful outcomes.
Probability = (24) / (36) = 2/3 = (66 and 2/3) %
Solve this problem using a similar strategy.
A number is multiplied by 10. Then 32 is added to the product. This sum is then divided by 4. The answer is 28.
What was the original number?
Answers
Start your solution with
The answer was 28.
Working backwards, the sentence in the question after the answer is "This sum is then divided by 4."
Use the same thing as the student's solution, but switch out the different numbers.
If this was the result of dividing by 4, the number at this point was 112. (
The next sentence in the question then says "Then 32 is added to the product."
Going off of the student's solution,
If this was the result of adding 32, the number at this point was 80. (
Again looking at the question, "A number is multiplied by 10."
Going off of the student's solution,
If this was the result of multiplying by 10, the original number was 8. (
The answer is 8.
Answers
=
=
=
b) x=-6+5 square root 2
c) x= -4+5 square root 2
d) x= -2+5 square root 2
Answers
The solution to the equation is x = -8 ± 5√2, the correct option is A.
What is a Quadratic Equation?
A quadratic equation is what can be written in the form of ax²+bx+c=0
The quadratic equation is
(x + 2)² + 12(x + 2) – 14 = 0?
Let y = x+2
then the equation will be of the form
y² +12y -14 = 0
This in the form of ax² +bx+c =0
The formula for solving is,
y = -6 ± 5√2
x +2 = -6 ± 5√2
x = -8 ± 5√2
To know more about Quadratic Equation
#SPJ5
(x +2) ² we use the formula (a+b)² = a² + 2ab + b²
(x² + 2*2*x + 4 ) + (12*x + 12 * 2 ) - 14 = 0
(x² + 4x + 4) + (12x + 24) - 14 = 0
x² + 4x + 4 + 12x + 24 - 14 = 0
we sort expressions
x² + 4x + 12x + 4 + 24 - 14 = 0
reduce
x² + 16x + 14 = 0
a = 1 b = 16 c=14
Δ = b² - 4ac = 16² - 4*1*14 = 256 - 56 = 200
√Δ = √(2*10*10) = 10√2
Answer A
Answers
Answer:
The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
Step-by-step explanation:
The given parameters are;
The number of grandchildren in the family = 4
The product of the ages of the four grand children = 67184
The age of the youngest grandchild < 10
The age of the oldest grandchild = 30 + The age of the youngest grandchild
Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild
Therefore, we have;
a < 10
The age of the oldest grandchild = a + 30 < 10 + 30
∴ The age of the oldest grandchild < 40
The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184
The factors of 67184 that are between 1 and 40 are;
1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38
Taking a = 8, we have;
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342
Therefore. a × b = 67184/(a × (a + 30) = 196.44
Therefore, a ≠ 8
For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136
Therefore. a × b = 67184/(a × (a + 30) = 494
We find that the other factors of 67184, which are 19 and 26 have a product of 494
Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
To give, 4 × 19 × 26 × 34 = 67,184.
2 - 2i
Answers
Answer:
a+ib=2sqrt2(cos7pi/4+isin7pi/4)
Step-by-step explanation:
a+ib=r (cos theta+isin theta)
r=sqrt a^2+b^2
r=sqrt (2)^2 +(-2)^2
r=2sqrt 2
theta=tan^-1(y/x) or (a/b)
theta= tan^-1(-2/2)
theta=-45 degrees
Now, I know that theta is in the fourth quadrant because cos (x-value) is positive. So, I am going to subtract my value from 360 degrees.
360-45= 315
theta=315
I can convert degrees to radians (if need be): 315 times pi/180= 7pi/4
Theta=7pi/4 r=2sqrt2
Substitute: a+ib=2sqrt2(cos7pi/4+isin7pi/4) this is radian format
or... a+ib=2sqrt2(cos 315+isin315) this is degree format
z = r ( cos t + i sin t )
r = | z | = √ ( 2² + (-2)² ) = √(4+4) = √8 = 2√2
t ( theta ) = tan^(-1) (-2 / 2 )= tan^(-1) (- 1 ) = - π / 4
z = 2√2 · ( cos (-π/4) + i sin (-π/4) ) =
= 2√2 · ( cos π/4 - i sin π/4 )