Answer:
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60
The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Help me please!!!!! I need help with angles
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
Mrs. Rhodes is building the ramp shown below and she wants to paint it blue. How much paint will she need to cover the entire surface?
Answer:
2/3 of paint I believe because of the amount shown
Help I would love to give you a thanks
Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
Hi help pls no link ty!
Answer:
84.78
Step-by-step explanation:
The full area of the circle without the cutout is 113.04
The cutout sector is 28.26
So that would make our final answer 84.78
by subtracting 28.26(cutout) from 113.04(full circle)
(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360
Plz someone help me on these 2 questions!! I'm desperate :)
Answer:
Step-by-step explanation:
7. The graph does not touch the x axis and never will
8. Horizontal asymptote is y=-100
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Fred earns dollars. Chad earns 45% more than Fred which expression represents the amount of money in dollars that chad earns
Answer:
$0.45x
Step-by-step explanation:
Fred earns dollars. Let Fred earns $x.
Chad earns 45% more than Fred.
We need to find the expression for Chad.
Chad amount = 45% of x
[tex]=\dfrac{45}{100}x\\\\=0.45x[/tex]
So, Chad earns $0.45x.
Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?
A.
the critical value
B.
the number of favorable responses
C.
the standard error of the mean
D.
the standard deviation
If f(x) = 3x + 2 and g(x) = -x^2 + 1, which is f(g(x))?
Answer:
-3x^2+5
Step-by-step explanation:
f(g(x)) = 3(g(x))+2 = 3(-x^2)+3+2 = -3x^2 +5
What is 3-(-7)+11-(9)
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Just had to simplify the expression.
For positive acute angles A and B, it is known that cos A= 60/61 and tan B= 45/28. Find the value of sin(A+B) in simplest form
Answer:
[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]
And that the two angles A and B are both in QI (positive acute angles).
Given this, we want to determine the value of sin(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:
[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]
Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:
[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]
In conclusion:
With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.
With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.
We can rewrite our original expression as:
[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]
And since A and B are both in QI, all trigonometric ratios will be positive.
Using the above conclusions, substitute:
[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]
Simplify. Hence:
[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]
Nicole is buying two posters. One poster costs $7.04 and the second costs $12.45. How much more does the second cost than the first?
A. $5.95
B. $0.54
C. $5.41
D. $19.49
what is (-3, 4) translated by (x,y) → (x – 6, y – 5).
Answer:
(-9,-1)
Step-by-step explanation:
You plug in the x and y values and solve the algebraic expression.
What is the proper order of organization from simplest to most complex.
A. rib bone, epithelial cell, heart, adipose tissue
B. cardiac muscle tissue, muscle cell, heart, muscular system
C. lung cell, alveoli, lung, respiratory system
D. neuron, nervous tissue, nervous system, brain
HELP ME ASAP
Answer:
A. 2,4,1,3
B. 2,1,3,4
C. 2,1,3,4
D. 1,2,4,3
Step-by-step explanation:
its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs
Please, Answer is needed.
Answer:
540 mins | 9 hours | 540, 9
420 mins | 7 hours | 420, 7
300 mins | 5 hours | 300, 5
180 mins | 3 hours | 180, 3
Step-by-step explanation:
1 hour = 60 mins
To convert hours into minutes, multiply the number of hours by 60 minutes:
9 hours × 60 mins = 540 mins
7 hours × 60 mins = 420 mins
5 hours × 60 mins = 300 mins
3 hours × 60 mins = 180 mins
Answer:
9 540, 540,9
7 420 420,7
5 300 300,5
3 180 180,3
Step-by-step explanation:
There is 60 in one hour
9 *60 540, 540,9
7 *60 420 420,7
5 *60 300 300,5
3 *60 180 180,3
Hope that helps
33 Triangle RST is similar to triangle RWW.
10 mm
d mm
5 mm
18 mm
What is the value of din millimeters?
A 27 mm
В
12 mm
C 9 mm
D
13 mm
Answer:
27
Step-by-step explanation:
Answer:
what the other fella put 27
Step-by-step explanation:
HELP Math will give 35 brainly points and brainlyest
9514 1404 393
Answer:
51°
Step-by-step explanation:
The two marked angles are a linear pair, so supplementary.
(3x +15) +(10x +9) = 180
13x = 156 . . . . . . subtract 24
156/13 = x = 12 . . . . divide by 13
The smaller angle is ...
3x +15 = 3(12) +15 = 51
The angle with the basement floor is 51°.
QUESTION 5
One card is selected from a standard deck of playing cards. Find the probability it is an ace or a 9.
Give the answer as a fraction
SHOW ALL WORK!
WILL GIVE U BRAINIEST
Answer: 2/13
Step-by-step explanation:
4 aces, 4 nines in a deck of 52 cards
so 8/52 chance of getting one of them reduce to 2/13
what is the square root of 2457
Answer:
49.568
Step-by-step explanation:
plz fast solve it and It should be right
9514 1404 393
Answer:
(i) ∠CDF = 86°
(ii) ∠BAD = 141°
Step-by-step explanation:
(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.
∠CDF = 86°
__
(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...
∠CDH = 180° -∠CDF = 180° -86° = 94°
Then ...
∠CDA = ∠CDH +∠HDA = 94° +47°
∠CDA = 141°
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
2. The ratio of 7th graders to 8th graders in student council is 2:3.
If there are 51 8th grade students in student council, what is the
total number of students in student council?
Help me please thank you kindly
Answer:
85 students
Step-by-step explanation:
Given
[tex]7th : 8th =2 : 3[/tex]
[tex]8th = 51[/tex]
Required
Find the total number of students
We have:
[tex]7th : 8th =2 : 3[/tex]
Substitute: [tex]8th = 51[/tex]
[tex]7th: 51 = 2 : 3[/tex]
Express as fraction
[tex]\frac{7th}{51} = \frac{2 }{ 3}[/tex]
Multiply both sides by 51
[tex]51 * \frac{7th}{51} = \frac{2 }{ 3} * 51[/tex]
[tex]7th= \frac{2 }{ 3} * 51[/tex]
[tex]7th= 2 *17[/tex]
[tex]7th= 34[/tex]
So, the total is:
[tex]Total = 7th + 8th[/tex]
[tex]Total = 34 + 51[/tex]
[tex]Total = 85[/tex]
I need help pls pls pls
Answer:
e. 55 miles hope that helped
4/7(21/8 x + 1/2) = -2(1/7 - 5/28x)
What is x in decimal form?
Answer:
x=[tex]1.22930[/tex]
Step-by-step explanation:
47(218 x+12 ) =−2(17 −528 x)
Simplify 47(218 x+12 ) : 327(21x+4) 327(21x+4) =−2(17 −528 x)
Multiply both sides by 7(21x+4)
327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)
Simplify, 32=−14(17 −528 x)(21x+4)
Solve 32=−14(17 −528 x)(21x+4): x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105
Answer:
x = 0.5
Step-by-step explanation:
[tex]\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)[/tex]
[tex]1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x[/tex]
[tex]1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x[/tex]
[tex]1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}[/tex]
[tex]1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}[/tex]
[tex]1\frac{1}{7}x = - \frac{4}{7}[/tex]
[tex]\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }[/tex]
[tex]x = -\frac{1}{2}[/tex]
Is the first one correct and what are the ages? Thanks
Answer:
a = 30°
Step-by-step explanation:
We need to find the value of a.
We know that, a straight line makes an angle of 180°.
In this case,
a+3a+2a = 180
6a = 180
a = 30°
So, the value of a is equal to 30°.
=
O LINEAR The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 56 cm, find its length and width.
cm
Х
length: 0
width: Ich
?
cm
Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
Help pleaseeeeeeeeeeeee
Answer:
option first is the right answer
Subtract the following complex numbers:
(4 + 4i) - (13 + 17i)
How many minutes are there between 15 minutes past 10 and 25 minutes to 11am?
Answer:
20 minutes
Step-by-step explanation:
15 minutes past 10 is 10:15
25 minutes to 11 am is 10:35
(60-25=35)
35-15=20
here's the question
Answer:
60
Step-by-step explanation:
perimeter (p) = 8 + 17 + 15 = 40
semi-perimeter (s) = p/2 = 20
Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.
Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60
