A student records the repair cost for 13 randomly selected TVs. A sample mean of $72.19 and standard deviation of $15.88 are subsequently computed. Determine the 98% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal.
Answer:
(60.382 ; 83.998)
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of error
Mean = 72.19
The margin of error is : Tcritical * s/√n
n = 13 ; s = 15.88
Tcritical at 98%, df = 13-1 = 12 = 2.681
Margin of Error = 2.681 * 15.88/√13 = 11.808
Confidence interval = 72.19 ± 11.808
(60.382 ; 83.998)
is this table proportional or non-proportional?
Answer:
Proportional
Step-by-step explanation:
Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportionality. Plugging in (x,y) pair into this function will yield a constant of proportionally of [tex]k=\frac{3}{2}[/tex] and since this constant is maintained through all the coordinate pairs in the table, the table is proportional.
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
How many ways can you select and arrange 5 books on a shelf out 13 books?
Answer:
There are 154,440 ways.
Step-by-step explanation:
The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
5 books from a set of 13. So
[tex]P_{(13,5)} = \frac{13!}{(13-5)!} = 154440[/tex]
There are 154,440 ways.
Find the area of the bedroom with the shape shown in the figure, in square feet. A) 67 ft2 B) 106 ft2 C) 506 ft2 D) 548 ft2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle ![tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Find out the area of small rectangle having length of 14 ft & width of 12 ft :[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]
Find out the area of big rectangle having length of 20 ft and width of 19 ft :[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]
Now , Add the area of small rectangle & area of big rectangle :[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]
[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]
[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]
[tex] \large{ \boxed{ \tt{⇝ \: OUR\: FINAL\: ANSWER : \boxed{\underline{ \tt{D. \: 548 \: {ft}^{2} }}}}}}[/tex]✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!♡Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Select the correct answer.
What is the solution for x in the equation?
-3x + 7x − 8 = 34 + 9x − 2
A.
B.
C.
D.
Answer:
-8
Step-by-step explanation:
-3x + 7x - 8 = 34 + 9x - 2
-3x + 7x - 9x = 34 - 2 + 8
-5x = 40|: (-5)
x = -8
[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢ - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Select the value(s) that represent
Answer:
±3/5
Step-by-step explanation:
±sqrt(9/25)
We can separate this into
± sqrt(9) / sqrt(25)
Since these are perfect squares
±3/5
Gary went to dinner with his friends. The total bill comes to $135.00 before tax. He wants to leave a 15% tip before tax. He also must pay an 8% tax on the bill. How much does Gary spend in total?
No links or I will report!
Answer:
Gary spends a total of $166.05
Step-by-step explanation:
15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax
8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8
Then we add $20.25+$10.8+$135= $166.05
Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.
How many centimeters are equal to 7 meters? Enter your answer in the box.
Answer:
56 but i could be wrong
Step-by-step explanation:
18
What is the value of x?
3
10
2y + 4
4
6
10 + 2x
8
Answer:
its 4 or B for the value of X
An increase in pay because of how well you do a job is called
A. longevity increase
B. promotional pay
C. performance pay
D. merit pay
Answer:
D. merit pay
An increase in pay because of how well you do a job is called merit pay.
Explanation:
Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.
Pls helpp pls pls pls
Answer: 16^2 + 12^2
Step-by-step explanation:
20^2 = 400
16 x 16 = 256
12 x 12 = 144
256 + 144 = 400
calculate the area of a circle with a diameter of 8.2 inches. show or explain your reasoning.
Answer:
Area = 52.81 square inches
Step-by-step explanation:
[tex]Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2[/tex]
A teacher kept track of the shirt colors her students were wearing on Wednesday. The results of her observations are shown in the table below.
What is the P(blue shirt | girl)? Write your answer as a decimal.
Answer:
.321428571
Step-by-step explanation:
P(blue shirt | girl)
This means what is the probability of a blue shirt given that we have a girl
There are 56 girls and 18 girls wearing blue shirts
P(blue shirt | girl) = girls in blue shirts / girls
= 18/56
=.321428571
long division 9÷ 999
Answer:
0.009009009
Step-by-step explanation:
I think you meant 999÷9 and in that case it is 111
Answer:
0.009009009009009
Step-by-step explanation:
if 125 men can do a piece of work in 120days, how many men would be sufficient to do the same work in 100days?
Answer:
x =150 men
Step-by-step explanation:
Think of the total as workdays
125men* 120days = 15000 workdays
We still need 15000 workdays
100 days * x = 15000workdays
Divide by 100
x = 15000/ 100
x =150 men
Answer:
150 men
Step-by-step explanation:
120 × 125 = 15000
15000 ÷ 100
150
An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and five outcomes possible for the third step. How many experimental outcomes exist for the entire experiment
Answer:
30 experimental outcomes exist for the entire experiment.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
Three outcomes possible for the first step.
Two for the second step.
Five for the third step.
How many experimental outcomes exist for the entire experiment?
Steps are independent, so, by the fundamental counting principle:
3*2*5 = 6*5 = 30
30 experimental outcomes exist for the entire experiment.
252k is a perfect square. Find any two possible values of k.
Which of the following is the inverse of F(x) if F(x) = 6x?
O A. F(x) = 6x
O B. F(x) = x-6
O C. F(X) -
O D. F(x) = x + 6
The correct inverse of F(x) = 6x is y = x/6 according to given question
To find the inverse of a function, we need to interchange the roles of the dependent variable (x) and the independent variable (F(x)) and solve for the new dependent variable.
Given that F(x) = 6x, to find the inverse, we can follow these steps:
Replace F(x) with y: y = 6x.
Swap x and y: x = 6y.
Solve for y: Divide both sides by 6 to isolate y: y = x/6.
Therefore, the inverse function of F(x) = 6x is given by y = x/6.
Out of the options provided:
A. F(x) = 6x: This is the original function, not the inverse.
B. F(x) = x-6: This is not the correct inverse function.
C. F(X): This option is incomplete; it does not provide an equation for the inverse.
D. F(x) = x + 6: This is not the correct inverse function.
Therefore, the correct inverse of F(x) = 6x is y = x/6.
To know more about inverse here
https://brainly.com/question/3831584
#SPJ2
The 18 students in Ms. Sara's class picked 660 strawberries at a strawberry patch during their field trip. If they share them equally, how many whole strawberries can each student have
Answer:
36
Step-by-step explanation:
Since there are 18 students in the class and they picked 660 strawberries, you divided 660 by 18, giving you a quotient of 36.6666667. Since the question asks for how many whole strawberries each student can have, the answer is 36.
Answer:
36
Step-by-step explanation:
In a lab a substance was cooled b 6 degrees each hour for 42 hours what was the total change it in temperature
9514 1404 393
Answer:
total cooling was 252 degrees
Step-by-step explanation:
quantity = rate × time
The total temperature change is ...
(-6°/h)(42 h) = -252°
The total change in temperature was a cooling of 252 degrees.
What other expression(s) is/are equivalent to -10 + 4?Choose all that apply.A. -10 + (-4)B. 10 -(-4)C. -10 -(-4)D. -10 –4
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 378 people entered the park, and the admission fees collected totaled 1,042.00 dollars. How many children and how many adults were admitted?
Answer:
188 children, 190 adults
Step-by-step explanation:
For this equation, let c be the number of children, and a represent the number of adults.
On this day 378 total people were at the park, so
a + c = 378 eq 1
Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a
Use the same method for the children, and the total all children paid is 1.50c
From all the children and adults, the total was 1042, so merge the 2 cost variables together.
4a + 1.50c = 1042 eq 2
the 2 equations we will use are
a + c = 378
4a + 1.50c = 1042
From equation 1, subtract c from both sides, and
a = 378 - c eq 3
Substitute the value of a in eq 3 into equation 2
4a + 1.50c = 1042
4 (378 - c) + 1.50c = 1042
1512 - 4c +1.50 c = 1042 (collect like terms)
1512 - 1042 = 4c -1.50 c
470 = 2.5 c
c = 470 /2.5
c = 188 children
Substitute the value of c into eq 3 to get the value of a
a = 378 -c
a = 378 - 188
a = 190 adults
A. -12 units
B. -8 units
C. 8 units
D. 12 units
Answer:
D. 12 units
Step-by-step explanation:
l6l+l-6l=12
add the absolute values.
A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.
Answer:
c = 7p
Step-by-step explanation:
i think
what is 4/6 ÷8/14???????????????
Answer:
7/6
Step-by-step explanation:
4/6 divided by 8/14
4/6 * 14/8
56/48
Simplified: 7/6
please help me with this
Answer:
y = x
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
A line parallel to the y axis is vertical
It is in the form
x = constant
x = -6
f(x)=−2x
2
+8x−10
\text{Find }f(-4)
Find f(−4)
Answer:
-74
Step-by-step explanation:
f(x) = -2x^2 +8x -10
Let x = -4
f(-4) = -2 ( -4)^2 +8(-4) -10
= -2(16) -32-10
= -32 -32-10
= -74
Question 12 (2 points)
(08.04 MC)
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately? (2 points)
a
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
b
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
c
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
d
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answer:
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
Ordering the data given :
24,28,32,34,40,44,49
We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :
Minimum = 24
Maximum = 49
Median = 1/2(n+1)th term
n = 7
Median = 1/2(8) = 4th term
Median = 34
Lower quartile, Q1 = 1/4(n+1)th term
n = 7
1/4(8) = 2nd term
Q1 = 28
Upper quartile : 3/4(n+1)th term
n = 7
Q3 = 3/4(8) = 6th term
Q3= 44
Which choice is equivalent to the expression below?
(-6)^-5
A. (1/6)^5
B. 6^5
C. (-1/6)^5
D. 30
