A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be done is approximately normal. The 95% confidence interval for the true mean number of pushups that can be done is _____.
Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.
The sample mean is of 15, thus [tex]\overline{x} = 15[/tex].The sample standard deviation is of 9, thus [tex]s = 9[/tex].The sample size is of 10, thus [tex]n = 10[/tex].First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.
The margin of error is of:
[tex]M = t\frac{s}{n}[/tex]
Then:
[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 15 - 6 = 9[/tex]
[tex]\overline{x} + M = 15 + 6 = 21[/tex]
The confidence interval is (9, 21).
A similar problem is given at https://brainly.com/question/25157574
What is the common difference in the sequence?
The common difference is the amount between each number in an arithmetic sequence.
For example, the sequence 4,7,10,13,... has a common difference of 3.
Please help me solve this I am begging you
Answer:
Line 1
√7 is between √4 and √9 ⇒ Square root of all termsLine 2
√7 is between 2 and 3 ⇒ Results of the square rootsLine 3
5√7 is between 10 and 15 ⇒ Multiply all terms by 5(6m^2-3m+15)(4m-7) simplify
2 4[tex]m^{3}[/tex] − 5 4[tex]m^{2}[/tex] + 8 1 − 1 0 5
Answer:
24m^3−54m^2+81m−105
Step-by-step explanation:
2
What is the value of f(x) = 23.22 + 2.5 at x = -4.22
=
Answer:
yo download Gauth math it gives u the answer instantly
solve all these quick and brainliest answer
Answer:
a.
Step-by-step explanation:
25x^2-15x+25
=5(5x^2-3x+5)
b.
14xy-7x
=7x(2y-1)
5.a.
7x-4=24
or,7x=24+4
or,7x=28
or,x=28/7
therefore x=4
b.
4y+4=y+16
or,4y-y=16-4
or,3y=12
or,y=12/3
therefore y=4
Step-by-step explanation:
q 5)
a) as it's an Isosceles triangle so both the given sides are equal
so, a/q
→ 7x - 4 = 24
→ 7x = 24 + 4 = 28
→ x = 28/7 = 4
→ x = 4
therefore, value of x is 4.
b) 4y + 4 = y + 16
→ 4y - y = 16 - 4
→ 3y = 12
→ y = 12/3 = 4
→ y = 4
therefore, value of y is 4.
hope this answer helps you dear!
jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
A: 39 1/5 km
C:4/5km
B:1 1/5km
D 4/35km
Eli chose A as the correct answer. How did he get that answer?
Answer:
Jeremy swims 4/5 of a kilometer each day.
Step-by-step explanation:
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.
The diagram shows two parallel lines cut by a transversal.
If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?
Enter the correct answer in the box.
Answer:
∠4 = 110
Step-by-step explanation:
∠3 + ∠5 = 180 {Co-interior angles are supplementary}
2y + 20 + 210 - 4y = 180
2y - 4y + 20 + 210 = 180 {Combine like terms}
-2y + 230 = 180
Subtract 230 from both sides
-2y = 180 - 230
-2y = -50
Divide both sides by (-2)
y = -50/-2
y = 25
∠5 = 210 - 4y
= 210 - 4*25
= 210 - 100
∠5 = 110
∠4 = ∠5 {Alternate interior angles are equal}
∠ 4 = 110°
Answer:
Step-by-step explanation:
110
Job 1 at the Minute Mart
Heather works 3 days at the Minute Mart. Each day consists of 8 hour shifts and the pay rate is £6.29. Work out how much Heather earns a week from the Minute Mart?
Answer:
£150.96
Step-by-step explanation:
Multiply 6.29 by 8. This is how much she makes a day.
(£50.32)
Multiply £50.32 by 3 because she works for 3 days.
(£150.96)
May I please receive help?
Step-by-step explanation:
the straight angle ;
180 - 42 = 138
The isosceles triangle ;
138 + x + x = 180
2x = 42
x = 21
pllease give me a brainliest answer
Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?
Solve.
−712x=3.85
Enter your answer as a mixed number in simplest form in the box
Answer:
The answer is -6 3/5! Hope this helps you.
Pls help me figure this out :D
Answer:
Well in this case the solution would be x = 19/9, I hope this helps! :)
easy one - giving brainly! show work.
(double-checking my answer)
Answer:
the height of the parent is 1.95 meters.
Step-by-step explanation:
divide 9 by 6 to get 1.5
multiply 1.5 by 1.3 to get the height of the parent
1.95m
your answer is correct
Answer:
The child's height is 6 cm
The parent's height is 9 cm
And now the child's height again 1.3 cm
And the parents height is 3.9
Step-by-step explanation: I think it's supposed to be that so yeah.
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answer:
Step-by-step explanation:12-4=8
Help me find x please!!!
Answer:
Step-by-step explanation:
2) 133 + a = 180 {Linear pair}
a = 180 - 133
a = 47
a +b = 180 {linear pair}
47 + b = 180
b = 180 - 47
b = 133
x = b + 30 {Exterior angle property}
x = 133 +30
x = 163
3) m + 35+ 35 = 180 {Angle sum property of triangle}
m + 70 = 180
m = 180 - 70
m = 110
z = 35 {alternate interior angles are congruent}
x = m + z
x = 110 + 35
x = 145
8th grade math!!! Help ILL BRAINLIST
guy pls help me!!!!!
Answer:
a= 11
Step-by-step explanation:
9a+ 6°+75° =180° (straight angle, they are called supplementary angles. so sum is equal to 180°
9a +81 = 180
9a= 99
a= 11
Kevin earns 2.4% interest each year on the money in his savings account. He kept $157.00 in his savings account for an entire year. How much money did Kevin earn in interest?
Answer:
That is the solution
Step-by-step explanation:
157,00.102,4%=
..........
..........
160,768
-8y^10 / 2y^5
write using positive exponents
Answer:
Step-by-step explanation:
[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\dfrac{-8y^{10}}{2y^{5}}=\dfrac{-4y^{10}}{y^{5}}=-4*y^{10-5}= -4y^{5}[/tex]
7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.
Answer:
The population would probably be 40%
Step-by-step explanation:
10 x 2 = 20
20 x 2 = 40
So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!
Please answer this ASAP
Step-by-step explanation:
It's B.You want a explaination ???
Can someone help me with this thank you
Answer:
4b
Step-by-step explanation:
when u add you don't add the exponents of the variable.
when you multiy you add the exponents and put the variable. it would be 4b^4 if you were multiplying but ur adding
20 × 4¹² / 4⁷ × 4⁹
please answerrrrrrr
Answer:
The answer is 5,368,709,120
Determine a series of transformations that would map figure L onto figure M
Answer:
Translation followed by a Rotation.
Step-by-step explanation:
1x2x2x2x2x2x2x22222x0
Answer:
0
Step-by-step explanation:
Anything times 0 will be 0.
Please solve with explanation
Answer:
The x coordinate of S is b.
Step-by-step explanation:
a)
The coordinates of Point Q are:
(2a+2b)/2, 2c/2
= [(a + b), c].
The slope of the line AB
= (0-2c)/(2b-2a)
= -c/(b-a)
So The slope of the line QS = (b - a) / c = (b - a)/c.
Its equation is
y - c = (b - a)/c ( x - (a+b))
y = (b - a)/c ( x - (a+b)) + c.
The coordinates of Point P are:
(2a+0)/2, 2(c+ 0)/2
= (a, c)
The slope of the line AO
= (2c)/2a
= c/a
So The slope of the line PS = -a/c
Its equation is
y - c = -a/c(x - a)
y = -a/c(x - a) + c
b)
So:
(b - a)/c ( x - (a+b)) + c
= -a/c(x - a) + c
(b - a)(x - a - b) + c^2 = -a(x - a) + c^2
(b - a)(x - a - b) = -a(x - a)
bx - ab - b^2 - ax + a^2 + ab = -ax + a^2
bx - ax + ax + a^2 - a^2 - ab + ab = b^2
bx = b^2
x = b = the x coordinate of S.
c). The point R has the same x coordinate as S So RS is perpendicular to OB.
Which of the ratios below is equivalent to 5:2? Select all that apply.
A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12
Answer:
Your answer to this question is C, D, and E.
Step-by-step explanation:
A and B are incorrect.
Which statement is true? 13/14=169/182 13/14<169/182 13/14>169/182
pls help me
Answer: 13/14 = 169/182
Step-by-step explanation:
If you do 13 x 182 = 2,366
And then do 14 x 169 = 2,366
Making both sides equal if you multiple the numerator by denominator using cross multiplication
The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.
What is Algebra?Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.
The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.
The fraction number is given below.
⇒ 13/14 and 169/182
Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,
⇒ (13 x 13)/(14 x 13)
⇒ 196 / 182
The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
7 divided by 9 and 7 simplify
Answer:
Assuming you mean 7 divided by 9/7, the answer would be 5 4/9. If you can clarify your question though if I'm wrong, I'd love to redo the problem and get you the right answer! ^-^
Step-by-step explanation: