Answer:
a) The point estimate is 6995.
b) The margin of error is of 1691.
c) The standard error is of 1000
Step-by-step explanation:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
The point estimate is the mean of the two bounds of the confidence interval. So
[tex]P = \frac{5304 + 8686}{2} = 6955[/tex]
The point estimate is 6995.
b. Calculate the margin of error.
The margin of error is the difference between the bounds and the point estimate. So
M = 8686 - 6995 = 6995 - 5304 = 1691
The margin of error is of 1691.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Now I have to expand a bit into the confidence interval.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
The margin of error is:
[tex]M = zs[/tex]
In which s is the margin of error.
We have that M = 1691. So
[tex]M = zs[/tex]
[tex]s = \frac{M}{z} = \frac{1645}{1.645} = 1000[/tex]
The standard error is of 1000
7ft
5ft
8ft
7ft
Find the area of each figure
What are all of the zeros in this equation?
Answer:
0, 1 and 1
Step-by-step explanation:
Given the expressions;
x^3-2x^2+x = 0
x(x^2-2x+1) = 0
x = 0 and x^2-2x+1 = 0
Factorize x^2-2x+1 = 0
x^2-x-x+1 = 0
x(x-1)-1(x-1) = 0
(x-1)(x-1)= 0
x = 1 twice
hence the zeros of the equation are 0, 1 and 1
A square has a side of 10x. Write and simplify an expression for the perimeter of the square. Then calculate the perimeter of the square if
X=12
Answer:
Step-by-step explanation:
perimeter = 4(10x) = 40x units
if x = 12, perimeter = 480x units
It’s giving me symbols to add
Answer:
I. Ella packed 70 books more than Ray.
II. Ray packed 580 books.
III. Ella packed 650 books.
Step-by-step explanation:
Given the following data;
Ray = 29 boxes of 20 books
Ella = 26 boxes with 25 books
To find the total number of books packed by Ray;
Total for Ray (Ray packed) = 29 * 20
Total for Ray = 580 books.
To find the total number of books packed by Ella;
Total for Ella (Ella packed) = 26 * 25
Total for Ella = 650 books.
Next, we find the difference between the books packed by Ella and Ray;
Difference = Ella - Ray
Difference = 650 - 580
Difference = 70 books
Last year, 120 new houses were built in a neighborhood. So far this year, 2/3
of them have been sold. How many new houses have been sold this year?
Write your answer in simplest form.
Multiply the total number of houses built by the fraction sold:
120 x 2/3 = (120 x 2)/3 = 240/3 = 80
80 houses were sold.
A new Samsung Flat Screen TV costs $1300. Best Buy is running a sale this week for 30% off all electronics. What is the discounted price of this TV?
also need an explanation
Answer:
910$
Step-by-step explanation:
Answer:
$910
Step-by-step explanation:
Do $1,300 times .3 and you will get $390.
$390 is the amount of money being taken off.
now do $1,300 - $390 = $910 Final Price
write the linear equation of the line in slope-intercept form going through points (-2,-3 ) (-3,1)
Find the measure of x 5.
*5 = [?]
68 112°
112\68
Answer:
<5=112° corresponding angle
A factory worker submits the weekly timesheet below.
Time-and-a-half is paid for overtime hours over 44 hours a
week. How many hours should the worker receive overtime pay for?
Monday
5:00 am - 11:00 am
12:00 am - 4:00 pm
Tuesday
5:00 am - 11:00 am
12:00 pm - 6:00 pm
Wednesday
6:am - 11:00 am
12:00 pm - 6:00 pm
Thursday
6:00 am - 11:00 am
12:00 pm - 6:00 pm
Friday
5:00 am - 11:00 am
Distance between 1,-4and 7,-4 on a coordinate grid
Answer:
6 units.
Step-by-step explanation:
Distance = √ [(7 - 1)^2 + (-4-(-4))^2]
= √(36 + 0)
= 6 units.
A model rocket is built to the scale 1:20, or 1 inch - 20 feet. The actual rocket is 4440 feet
tall. How tall is the model rocket in inches?
A 11.1
B. 18.5
C. 222
D. 240
Answer:
it is 222
Step-by-step explanation:
1440 divided by 20 :)
A school sells 712 tickets for a talent show. Adult tickets cost $8 each, and children's tickets cost $4 each. A total of $4,256 is collected
from ticket sales. Which system of equations can be used to determine the number of adult tickets sold, x, and the number of children's
tickets sold, y?
O A. x + y = 712
4x + 8y = 4,256
OB. x + y = 712
8x + 4y = 4,256
C. X + 8y = 712
x + 4y = 4,256
OD. 8x + y = 712
4x + y = 4,256
Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
Please help me with this question!!!!
Answer:
EH = 13 in
Step-by-step explanation:
Angle between a tangent and radius is right, that is
∠ EBH = 90° and so Δ EBH is right
Using Pythagoras' identity in the right triangle
EH² = BE² + BH² = 5² + 12² = 25 + 144 = 169 ( square root both sides )
EH = [tex]\sqrt{169}[/tex] = 13
Can please someone help with this two problems?
Answer:
A and C
Step-by-step explanation:
20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.
21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.
I hope this helps :)
Find the errors and correct the following mathematical sentences.
Answer:
The correct answers are:
xii) (x+7)(x+7)
=x^2 +7x +7x +49
=x^2 +14x +49
xiv) (x+4)(x+2)
=x^2 +2x +4x +8
=x^2 +6x +8
xvi) 5x^3 ÷ 5x^3
=1
Answer:
This is your answer ☺️☺️
find the value of x and y in the following figure where ABCD is a parallelogram
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
What is the answer to this question? The difference of x and 22 is equal to 8
Answer:
If the difference of x and 22=8
then equation is
X -22=8
X=22+8
X=30
therefore now we put the value of x in the equation
30-22=8
8=8
Answer:
x would be 30
Step-by-step explanation:
x-22=8
x=8+22
x=30
Can some please answer this
9514 1404 393
Answer:
B (2 violet)
Step-by-step explanation:
Let the colors be represented by their first letter. Then the balances give rise to two equation:
o +y +b +v = r +g +b
o +y +v = g +v
Subtracting the second equation from the first gives ...
(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)
b = r +b -v
Adding v-b to both sides, we have ...
b +(v -b) = r +b -v +(v -b)
v = r
Multiplying this result by 2, we can match the final balance:
2r = 2v . . . . . . . choice B
Answer:
the answer is B.2 purple
The function f(x) = -(x + 5)(x + 1) is shown.
What is the range of the function?
10
8
O all real numbers less than or equal to 4
O all real numbers less than or equal to -3
O all real numbers greater than or equal to 4
O all real numbers greater than or equal to -3
6
2
-10
-8
4
-2
2
4
8
8
10
X
4
-6
8
-10
Answer:
a
Step-by-step explanation:
f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)
=-(x+3)^2+4
Range: all numbers ≤4
A process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent. Find the mean number of packages that will be filled before the process is stopped. Numeric Response
Answer:
The mean number of packages that will be filled before the process is stopped is 50.
Step-by-step explanation:
For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Number of trials expected for n sucesses
Also called inverse binomial distribution, is given by:
[tex]E = \frac{n}{p}[/tex]
In which p is the probability of a success in a trial.
Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent.
This means that [tex]p = 0.02[/tex]
Find the mean number of packages that will be filled before the process is stopped.
This is when [tex]n = 1[/tex], as the process is stopped when a package is outside the specifications. So
[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]
The mean number of packages that will be filled before the process is stopped is 50.
Solve. -x < 20
Graph on a number lin
Answer:
x > -20
Step-by-step explanation:
-x < 20
When dividing by negative numbers, flip the inequality.
x > -20
inclusive -> open circle
greater than -> to the right
open circle at -20 going to the right
A triangle has a base of 5 feet and an area of 20 square feet. Find the triangle's height.
5 ÷ 20 = 4
#BrainlyIsFunSarah goes to a bakery to buy doughnuts for work.
• Sarah has $55.00 to spend.
• The cost of a doughnut is $0.65.
Which equation models the relationship between the amount of money Sarah has
left, y, after buying x dozen doughnuts?
Answer:
The equation i came up with is $55= 7.8x - 47.20
What is the value of n?
Pleaseee if you know this can you please answer I’m struggling really bad
Answer:
[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{3}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{1}[/tex] ║ [tex]L_{3}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y = mx + b
"m" is slope
"b" is y-intercept (coordinates are (0, b)
Parallel lines have the same slopes and different y-intercepts.
Slopes of perpendicular lines are opposite reciprocals: [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1
~~~~~~~~~~~~~~~~~~~~~~
[tex]L_{1}[/tex] : y = x + 5 , [tex]m_{L_{1} }[/tex] = 1 , b = 5
[tex]L_{2}[/tex] : y = - x + 7 , [tex]m_{L_{2} }[/tex] = - 1 , b = 7
[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex]
[tex]L_{3}[/tex] : [tex]m_{L_{3} }[/tex] = 1 , b = - 2
[tex]L_{1}[/tex] ║ [tex]L_{3}[/tex] and [tex]L_{2}[/tex] ⊥ [tex]L_{3}[/tex]
Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sells.
let P represent her total pay (in dollars) and N represent the number of copies of math is fun she sells. write and equation relating P to N and use this equation to find her total pay if she sells 27 copies of math is fun.
Answer:
[tex]P = 1900 + 40N[/tex]
[tex]P = 2980[/tex] when N = 27
Step-by-step explanation:
Given
[tex]Base\ Salary = 1900[/tex]
[tex]Additional = 40[/tex] per copy
Solving (a): Her total pay (P)
This is represented by:
[tex]P = Base\ Salary + Additional * N[/tex]
[tex]P = 1900 + 40 * N[/tex]
[tex]P = 1900 + 40N[/tex]
Solving (b): Total pay when N = 27
Substitute 27 for N
[tex]P = 1900 + 40 * 27[/tex]
[tex]P = 1900 + 1080[/tex]
[tex]P = 2980[/tex]
eight times seven more than a number is 16. what is the number ?
may be 28 am i write sir or mam
Answer:
The number is -5
Step-by-step explanation:
Equation: 8(7+x) = 16
Distribute: 56 + 8x = 16
Subtract 56 from both sides: 8x = -40
Divide both sides by 8: x = -5
What is the distance between (-6,0) and (5,3)?
PLEASEE helpp!!! Ill mark you as Brainliest!!!!
Answer:
√130 or ≈ 11.40175425
Step-by-step explanation:
(-6, 0) & (5, 3)
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values.
d = √[(5 - (-6))² + (3 - 0)²]
Simplify the parentheses.
d = √[(5 + 6)² + (3 - 0)²]
d = √[(11)² + (3)²]
Evaluate the exponents.
d = √[(121) + (9)]
Add the expression within the brackets [ ].
d = √[130]
This is your answer.
√130
or
≈ 11.40175425
Hope this helps!
A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
A) 291
B) 18
C) 200
D) 296
Maya is considering three possible shapes for the container that will hold the stones. The shapes are shown below in the diagram. Part A: Find the volume of each shape. Show your work. (use π = 3.14, and write your answer to nearest whole number) Part B: Based on part A, which of these three shapes would be Maya’s best choice for a container for the stones? Enter your answer and explain your answer in the space provided.
Answer:
wow that's a lot lol
Step-by-step explanation:
i needthe points i'm ssrry