Answer:
0..................
Answer:
0
Step-by-step explanation:
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetimes of the AAA batteries it produces. A random sample of 23 batteries produced by the manufacturer lasted a mean of 10.3 hours with a standard deviation of 2.4 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
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)
Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
what is 30 percent of 64?
Answer:
19.2
Step-by-step explanation:
I did the math by dividing the percentage and total
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
what is the sum of the interior angles of a 28-gon?
s = (n-2) 180
Answer:
1,00090
Step-by-step explanation:
Line segment W Y is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Answer:
∠ XWZ is a right angle.
Step-by-step explanation:
See the given diagram.
In triangle WXZ, WY is an altitude.
So, ∠ WYZ = ∠ XYW = 90°
Now, given that ∠ ZWY = ∠ WXY.
Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)
⇒ ∠ ZWY + ∠ YWX = 90° {Since, ∠ ZWY = ∠ WXY}
⇒ ∠ XWZ = 90°
Therefore, the angle XWZ is right angle. (Answer)
Answer:
B. XWZ is a right angle
Step-by-step explanation:
edge 2020 plz vote brainliest
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
[tex] 3.938 < \mu < 4.062 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is [tex]\= x = 4[/tex]
The standard deviation is [tex]\sigma = 1.5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{1.5 }{\sqrt{1501} }[/tex]
=> [tex]E = 0.06196 [/tex]
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]4 -0.06196 < \mu < 4 + 0.06196[/tex]
=> [tex] 3.938 < \mu < 4.062 [/tex]
Hence the true average times per week that college students across the nation eat out lies within this interval
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answer:
Step-by-step explanation:
Vertex
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card?
Answer:
4
Step-by-step explanation:
bc I got jt right
Carissa has a fish tank that can hold up to 50 gallons of water but it is leaking at a constant rate. When Carissa first notices the leak, the tank has 40 gallons of water. Two hours later the tank has 30 gallons. At what rate is the water leaking? Use a signed number, and include the unit of measurement in your answer.
Answer:
for every 2 hour 10 gallons leak out
Step-by-step explanation:
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
5.
3x3 + 2y2 - xy for x = 2 and y = 3
Answer:
21
Step-by-step explanation:
3x – 5 =-10
6. To solve the equation in the box for the
value of x, Michele started by adding 5 to both
sides. To get the correct answer, what must
Michele do next?
A divide both sides by 10
B. divide both sides by 3
C. multiply both sides by 10
D. multiply both sides by 3
After adding 5 to both sides what did Michele get? Let's see
[tex]3x-5 + 5 = -10 + 5\\3x= -5[/tex]
If she wants to find the value of [tex]x[/tex] then she needs to have only the variable [tex]x[/tex] on the left hand side. What she must do so that [tex]3x[/tex] becomes just [tex]x[/tex]? What do you have to do to the number 3 so it becomes a 1? That's right, she must divide by 3!
So, after dividing both sides by 3:
[tex]\frac{3x}{3} = \frac{-10}{3} \\\\\boxed{x=\frac{-10}{3}}[/tex]
Thus, the correct answer is letter B
HELP PLEASE!! Two lines are drawn in the same plane.
Under what condition are the lines
perpendicular?
A two lines that never intersect
B. two lines that intersect and form right angles
C. two lines that intersect and form acute angles
D. two lines that intersect at more than one point
Answer:it is c or b
Step-by-step explanation:
The condition for the lines to be perpendicular will be two lines that intersect and form right angles. Then the correct option is B.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Two lines are drawn in the same plane.
If the two lines intersect then the angle between the line is 90 degrees.
The condition for the lines to be perpendicular will be two lines that intersect and form right angles.
Then the correct option is B.
The graph is given below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
please help me with this will give brainliest to best answer
Answer:
this may sound crazy but its A,B,C,D
Step-by-step explanation:
they not in the boundaries 0f 5 to 0 or -2 to 0
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X
Answer:
.50 cents per pound
Step-by-step explanation:
At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?
Answer:
18 kids
Step-by-step explanation:
72 x .25
18 is 25% or 72
What is the solution to this equation 2x + 10 equals 28
Answer:
X=9
Step-by-step explanation:
2X+10=28
-10 -10
2X=28
DIVIDE BOTH SIDES BY 2
In the image...i showed the work
PLSSSS HELP WILL MARK BRAINLIESTTT
QUESTION 15
The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?
Answer: 5 sides
Step-by-step explanation:
HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?
19 + 0.75n <50
19 + 0.75, n , <50
38 + 0.75n <50
38 + 0.75, n , <50
19 + 0.75n ≤50
19 + 0.75, n is less than or equal to, 50
38 + 0.75n ≤50
Answer:
bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')
Step-by-step explanation:
A company took a survey about its new product.Of the 5,000 people surveyed, 36% liked the new product.How many people liked the new product?
whats the answer
Step-by-step explanation:
Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
113.04m²
Step-by-step explanation:
Area of circle: [tex]\pi[/tex] × r²
Radius = [tex]\frac{diameter}{2}[/tex]
We can just apply the formula to the question:
Area of circle = 3.14 × ([tex]\frac{12}{2}[/tex])²
= 3.14 × 36
= 113.04m²
8(0.25n-2)+n=-0.5(8-4n)
what is √ − 3 ⋅ √ − 27 =
We are given the expression:
√-3 * √-27
__________________________________________________________
Explaining the concept:
We know that:
√ab = √a * √b
Using this concept, we will simplify the given expression and solve it
__________________________________________________________
Simplifying the expression:
√-3 * √-27
√(-1*3) * √[(-1)*(3)(3)(3)]
√-1 * √3 * √-1 * √3 * √3 * √3
(√-1 * √-1) * (√3 * √3 * √3 * √3)
(√-1)² * (√3)² * (√3)²
-1 * 3 * 3
-9
Hence, after simplifying the given expression, we get -9
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?
Answer:
After the passage of a month, the interest that Tori must pay will be $ 4.81.
Step-by-step explanation:
Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:
12 = 21
1 = X
21/12 = X
1.75 = X
((300 - 25) x 1.75 / 100) + 300 = X
4.81 + 300 = X
304.81 = X
Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.
Solve for m
b= 1/2mv
Answer: m = 2b/v
Step-by-step explanation:
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
