Answer:
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 23
Mean of the sample x⁻ = 10.3
Standard deviation of the sample (s) = 2.4
Level of significance = 0.05
Degrees of freedom = n-1 = 23-1 =22
Step(ii):-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]
[tex](10.3 - t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } )[/tex]
(10.3 - 2.8188 (0.50043) , 10.3 + 2.8188(0.50043)
(10.3-1.4106 , 10.3+1.4106)
(8.889, 11.7106)
final answer:-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
What is the difference of the polynomials?
(5x^3+ 4x^2)-(6x^2-2x-9)
i think its B ......
The difference of the polynomials (5x3 + 4x2) – (6x2 – 2x – 9) is 5x3 – 2x2 + 2x + 9.
A polynomial is an expression consisting of variables and coefficients,
5x3 + 4x2 - (6x2 - 2x - 9)
= 5x3 + 4x2 - 6x2 + 2x + 9
= 5x3 - 2x2 + 2x +
They earned 12% of 5,000 in sales. How much did they get paid
Answer: 600
explanation:
12% of 5,000 = 600
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
(x+2) + (7x+2) + (3x) = 180
Add like terms
7x + x + 3x = 11x
2 + 2 = 4
11x + 4 = 180
Subtract 4
11x + 4 = 180
11x = 176
Divide by 11
11x = 176
x = 16
-3 + x = x - 3
A.one solution B.no solution C. Infinite solution
Answer:
c is the answer for the question
Answer:
C. Infinite solution
Step-by-step explanation:
Since, both the equations are same, therefore given equation has infinitely many solutions...
while tim is waiting for school to start he pulls a quarter from his pocket. how many outcomes are possible if he flips the quarter three times?
Answer:
3
Step-by-step explanation:
he flips it three times
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.
Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, that is
DE = AB , substitute values
6x - 7 = 11 ( add 7 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
Shannon spent the day at the mall. She spent $5.75 on earrings and 4 times that amount on a shirt. After shopping, she came home with $7.75 in her wallet. How much money did she take to the mall originally?
A.
$21.00
B.
$28.75
C.
$30.75
D.
$36.50
Need help please on this
Answer:
I think it's dilated by a scale factor of 5. Because the black one is 3 squares long and the purple one is 15. So divide those and you get 5! and to check just multiply 5x3 to find the length of the purple one!
Step-by-step explanation:
Hope this helps! please mark brainliest! :)
the red knot speeds spring and summer in northern canada where it's breeding ground are located and winters as far south as the southern tip of South America.
a) Canada, where it's breeding ground located
b) Canada where it's breeding ground located,
c) canada, where it's breeding ground located,
d) correct as it is
witch one is correct
Answer: A
Step-by-step explanation:
uIf it included Northern in the answer choices than it should be capital because it is a location and with the comma after Canada helps clarify here its breeding ground is at and to stop it from being a run on sentence (tho It would be used with a period to stop a run on sentence but to help it here.)
80 is what percent 300 ( please explain)
(80×100):300=
8000:300=26.67
so 80 percent of 300 is 26.67
Which inequality is represented by the graph?
Answer:
y<2/3x-2.5
Step-by-step explanation:
Y=mx+b
m=2/3
b=2.5
because the top half of the graph is shaded
Lin runs 12 laps around a track in 15 minutes.
Answer:
1.25
Step-by-step explanation:
15/12
PLEASE I NEED HELP WITH MATH!
Answer:
m<x= 53
Step-by-step explanation:
m<x = m<y
so...
all you do is 180-128= 53
because m<z = m<y too
and the m<z+128=180
Gianna cuts a ribbon into equal pieces as shown below. She uses 4 pieces of the ribbon for a project. What fraction of the ribbon does Gianna use for the project? Explain how you found your answer.
what is the math question 2/5+?=7/10
Zelda rode her bike at a steady rate of 12 miles per hour for 3
Answer:
36miles
Step-by-step explanation:
Given parameters:
Rate = 12mph
Time = 3hr
Unknown:
Distance = ?
Solution:
The given rate amount is the speed. Speed is the distance divided by the time.
It is mathematically expressed as:
Speed = [tex]\frac{distance}{time}[/tex]
Distance = Speed x time
Distance = 12 x 3 = 36miles
HELP ASAP!!! Question: Write 20 pounds for $4 as a unit rate.
Answer:
20 pounds divided by 4
Step-by-step explanation:
please help me out! i’ll give you the brainliest :)
14x - 1/2 (4x + 6) = 3 (x- 4) - 18
Answer:
x = -3
Step-by-step explanation:
solve (x – 3)2 = 81 quadratic equation
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5
A football team gained 9 yards on one play and then lost 22 yards on the next and
finally gained 12 yards on the final play. What is the result of the three plays?
Find
how
many times
21
+
9 goes
into 131
2
Answer:
it goes in 4 times I rounded up to 30 and 30 times 4 is around there
If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)
Answer:
126807 people
Step-by-step explanation:
Given;
P= Poe^ht
Where;
P= population at time t
Po= population at the beginning
h= growth constant
t= time
1998- 2008 is ten years.
110429= 100,000e^10h
1.1 = e^10h
ln(1.1) = lne^10h
0.095 = 10h
h= 0.0095
In 2023, t = 25 years
P= 100,000e^(0.0095 × 25)
P= 126807 people
Adults in Turkey have mean caloric intake of 3500 calories per day (Wikipedia) with a standard deviation of 500 calories. A sample of 25 Ankara University students has an average intake of 3400 calories per day. Is this enough evidence to conclude that Ankara U. students average is not 3500 calories per day? Assume the distribution is normal.
A. State the null and alternative hypotheses.
B. What is the value of the test statistic?
C. Specify the rejection region?
D. State the conclusion.
Answer:
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) t = -1
C) the rejection region will be;
p-value < 0.05
D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Step-by-step explanation:
We are given;
Population mean; μ = 3500
Population standard deviation; σ = 500
Sample mean; x¯ = 3400
Sample size; n = 25
We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.
Thus, the hypothesis is defined as;
A) Null hypothesis; H0: μ = 3500
Alternative hypothesis;Ha μ ≠ 3500
B) sample size is less than 30, thus we will use a t-test.
Formula for the test statistic is;
t = (x¯ - μ)/(σ/√n)
t = (3400 - 3500)/(500/√25)
t = -100/(500/5)
t = -1
C) since the sample is small, let's assume a significance level of 0.05.
Thus,the rejection region will be;
p-value < 0.05
D) from online p-value from t-score calculator attached using;
t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;
p-value ≈ 0.3273
This is greater than the significance value of 0.05.
Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.
Find the value of the missing angle in the triangle below:
Answer:
85°
Step-by-step explanation:
x+32°+63°=180°(being sum of interior angle of triangle)
x=180°-95°
:. x=85°
Iliana was part of a group that was working on changing 0.ModifyingAbove 4 with bar to a fraction. Each member of the group had a different answer. Which answer is correct?
Two-fifths
StartFraction 4 Over 10 EndFraction
StartFraction 4 Over 9 EndFraction
StartFraction 9 Over 4 EndFraction
Answer: 4/9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edge 2021
Which would describe a translation 2 unis left and one unit up
Answer:
(2, 1) or (1, 2)
Step-by-step explanation:
I not sure :3 I think its most likely (1, 2)
I NEED HELP ASAP!!!!
Answer:
Those all look correct if that's what you are asking
Step-by-step explanation:
Simplify.
2 + 8h + 5 + 2h =
Answer: 7+10h=
Step-by-step explanation:
Just add the numbers that match.
2+5= 7
8h+2h= 10h
Answer:
Step-by-step explanation:
2+8h +5 2h =7+ 10h
You add 2+5 and then add 8h and 2h
Ginger cut 9 yards of fabric into pieces that are yard long. How many -yard pieces did she make from the 9 yards of fabric?
A. 2 1/4
B. 8 3/4
C. 13
D. 36
Answer: c i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
