Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
[tex]df = 27-1=26[/tex]
The determine the confidence interval using the below formula:
[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]
Now, using the chi distribution the above expression becomes:
[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]
For more information, refer to the link given below:
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Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain
Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
Which of the expressions are equivalent to the one below? Check all that apply.
4 • (8 + 3)
A. (4 • 8) + 3
B. (8 + 3) • 4
C. 4 • (3 + 8)
D. 4 • 8 + 4 • 3
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).
6) Sally traveled 352.5 miles on 13 gallons of gas. Set up and solve to proportion to find how many miles she can travel on 18 gallons of gas. Round your answer to the nearest whole number of gallons. Your answer
Answer:
add a gallon
Step-by-step explanation:
You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.
Answer:
y ⇒⇒⇒ monthly income
x ⇒⇒⇒ number of times app is opened
$20 per month and an additional $0.005 each time the app is opened
∴ y = 0.005 x + 20
The attached figure represents the graph of y
Step-by-step explanation:
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
What is the answer 2/3 + 5/12 =
Answer:
then answer is 13/12
Step-by-step explanation:
(8+5)/12
13/12
someone help please !
9514 1404 393
Answer:
no, the triangles are not similar
Step-by-step explanation:
The given ratios tell you corresponding side ratios are ...
ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6
AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7
Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.
pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
Kylie's family took a road trip to Mount Rushmore. Kylie fell asleep 34% of the way
through the trip. If Kylie fell asleep after they had travelled 306 miles, what was the
total length of the trip?
Answer:
2 miles
Step-by-step explanation:
The total length of the trip is 464 miles
An equation is used to show the relationship between two or more numbers and variables.
Let x represent the total length of the journey.
Kylie fell asleep after they had travelled 306 miles and she fell asleep 34% of the way. Therefore:
(100% - 34%) of x = 306
66% of x = 306
0.66x = 306
x = 464 miles
The total length of the trip is 464 miles
Find out more on equation at:https://brainly.com/question/24868934
2
If f(x) = -2x2- x, what is f(2) and f(3)?
PLEASE HELP THIS IS DUE TODAY How do you use proportions to calculate missing dimensions in scale drawings?
Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet
Step-by-step explanation:
Freddie made the number line below to model the laps he walks around a track at his
school. He walks a total of 1} miles. Each lap is į mile. How many laps does Freddie walk
around the track?
Answer:
On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.
Step-by-step explanation:
Compute 292,000 divide 100.
The division 292,000 divide 100. results to 2920.
What is Division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given:
292,000 divide 100.
We know division with zero in the denominator is different and easy.
As, 292000 have three and 100 have two zeroes.
So, the two zero of hundred cancels out the two zeroes of 292000.
So, 292000/ 100
= 2920
Hence, the division results to 2920.
Learn more about Division here:
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#SPJ2
Please help with this I really need it
Answer:
Step-by-step explanation:
What is the value of the 5 in 564,242?
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
1) How many terms does the expression r- 9 + 5.5 have? Explain.
Answer:
The first term is 9 and the second term is 5.5, and the third term is r.
Step-by-step explanation:
Hope this helps! ^^
PLEASE HELP! Will give brainliest! Worth 30 points!
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
Please help this is the last question I need I don't get it
400 hope this helps!
May I have brainliest please? :D
21+15a distributive property equavilent expression
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit ?
Answer:
JOSHUA
Step-by-step explanation:
J
Can someone please help me out?
9514 1404 393
Answer:
64°
Step-by-step explanation:
y° and the angle marked 64° are "alternate interior angles", so are congruent.
y° = 64°
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answer:
8x - 40 > 200
Step-by-step explanation:
What is -1/2+-1/5+-5x+3/10+3/2=
Answer:
-5x + 11/10
Step-by-step explanation:
hat is the product of 4.01 × 10-5 and 2.56 ×108?
Answer:
35.1 and 276.48
Step-by-step explanation:
Answer:
The correct answer is: 1.0266 ×104
Step-by-step explanation:
Find the point slope equation of the line through (0,7) with slope of 6.
Answer:
y-7= 6(x-0)
Step-by-step explanation:
y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)