Answer:
The margin of error is of 0.17.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.
This means that [tex]n = 35, \pi = 0.51[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a)Calculate the margin of error that the high school student will have.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]
[tex]M = 0.1656[/tex]
Rounding to 2 decimal places, the margin of error is of 0.17.
The rectangle below is show with dimensions in inches
Answer:21/64
Step-by-step explanation:
Do 3*7 to get 21
And 8*8 to get 64.
To multiply fractions you multiply the denominators together and then the numerators together
simplify. (write without the absolute value sign): |x+3|, if x=2
Answer:
5
Step-by-step explanation:
|x+3| when x = 2 is |2+3| = |5| = 5
Answer:
5
Step-by-step explanation:
Substitute 2 in for x
|2+3| = 5
This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number.
Triangle PQR has vertices P(−3,4), Q(−8,3), and R(−1,−6). Triangle PQR is dilated by a scale factor of 8 centered at the origin to get triangle P′Q′R′.
What are the coordinates of points P′, Q′, and R′ of the image?
P′(−38,−12), Q′(−1,38), R′(−18,−34)
P′(−3,32), Q′(−8,24), R′(−1,−48)
P′(−24,4), Q′(−64,3), R′(−8,−6)
P′(−24,32), Q′(−64,24), R′(−8,−48)
Answer:
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Step-by-step explanation:
Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:
[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:
[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]
[tex]P'(x,y) = (-24, 32)[/tex]
[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]
[tex]Q'(x,y) = (-64, 24)[/tex]
[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]
[tex]R'(x,y) = (-8,-48)[/tex]
The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.
Answer:
(-24, 32), (-64, 24) and (-8,-48)
Step-by-step explanation:
Find the Total surface area of the triangular prism below.
Answer:
The surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.
Step-by-step explanation:
Formula
Area of a triangle
A = 1/2bh
Area of a rectangle
A = lw
Surface area of triangular prism
SA = bh + (s1 + s2 + s3)H
Hope it helps... Please mark as the Brainliest!!!
Help please.................
Answer:
X > 2
Step-by-step explanation:
please help me. please please please
Answer:
[tex]\frac{27}{8}[/tex]
Step-by-step explanation:
[tex]\left(\frac{16}{81}\right)^{\frac{-3}{4}}=\frac{16^{\frac{-3}{4}}}{81^{\frac{-3}{4}}}[/tex]
[tex]=\frac{2^{-3} }{3^{-3} }[/tex]
[tex]=\frac{\frac{1}{8}}{\frac{1}{27}}[/tex]
[tex]=\frac{1*27}{8*1}[/tex]
[tex]=\frac{27}{8}[/tex]
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $525, how many of the tickets were adult tickets and how many were sold to kids under 12?
They sold ___ adult tickets and _____ kids tickets.
Answer:
They sold 30 adult tickets and 50 kids tickets.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of adult tickets sold
y is the number of kids tickets sold.
80 tickets are sold
This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.
This means that:
[tex]7.5x + 6y = 525[/tex]
Since [tex]x = 80 - y[/tex]
[tex]7.5(80 - y) + 6y = 525[/tex]
[tex]600 - 7.5y + 6y = 525[/tex]
[tex]1.5y = 75[/tex]
[tex]y = \frac{75}{1.5} = 50[/tex]
[tex]x = 80 - y = 80 - 50 = 30[/tex]
They sold 30 adult tickets and 50 kids tickets.
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
Answer:
The answer is 75 degrees
Step-by-step explanation:
All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.
Solve x² + 5x + 6 = 0
Answer:
x=-2,-3
Step-by-step explanation:
x^2+5x+6=0
(x+2)(x+3)=0
x+2=0
x=-2
x+3=0
x=-3
We are going to sell shirts during spirit Week. The shirts come in 3 colors: black, white, and gold. Students may also choose from 2 different colors of ink and 2 different designs. How many different types of shirts can be made?
Answer:
I don’t really know but ill go with 21
Step-by-step explanation:
For some reason
Part C
How many cubic blocks are needed to fill the fish tank?
Answer:
[tex]2\frac{2}{3}[/tex] cubic blocks
Step-by-step explanation:
The given parameters are:
[tex]Length = \frac{1}{2}yd[/tex]
[tex]Width = 16yd[/tex]
[tex]Height =\frac{1}{3}yd[/tex]
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]
[tex]Volume = \frac{16}{6}[/tex]
Simplify
[tex]Volume = \frac{8}{3}[/tex]
Express as mixed numbers
[tex]Volume = 2\frac{2}{3}yd^3[/tex]
6
A natural gas company charges a $23.13 connection fee plus $1.34 per 10 cubic feet of gas used. In the winter peak usage
months, November through February, they charge each customer a peak usage surcharge of $23.22. If a family uses 100 cubic feet
of gas, how much will their bill have increased because of the peak usage surcharge?
A. $232.20
B. $59.75
C. $46.35
OD. $23.22
Answer:
A is what i got but i could of done the math wrong sorry
Sasha modeled an expression as shown below.
125
34
х
Which answer choice could NOT represent this expression?
A x + 34 = 125
B
125 - 34 = x
С
125 - X = 34
D
125 + 34 = X
it should either a or b
need help.
The scatter plot and line of best fit below show the length of 9 people's femur (the long leg bone in the thigh) and their height in centimeters. What is the meaning of the xx-value on the line when y=160y=160?
Answer:
c
Step-by-step explanation:
The true statement is (d) The expected height of 160 cm when the femur length has a length of 42.5 cm
How to interpret the scatter plot?From the given figure, we have:
x values represents the femur length in centimetersy values represents the height in centimetersSo, when the y value is 160, the x value is:
The expected height of 160 cm when the femur length has a length of 42.5 cm
Hence, the true statement is (d)
Read more about scatter plots at:
https://brainly.com/question/6592115
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Justin sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
237 visitors purchased no costume.
17 visitors purchased exactly one costume.
24 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no
more than one costume as a fraction in simplest form.
Answer:
uhm I don't know this one.
Step-by-step explanation:
Hey yall!! How do I do this ???
Answer:
Step-by-step explanation:
just pick three values (numbers) into the function and calculate the other unknown
You can pick an X or you can pick a Y, then solve for Y or X respectively.
Record these x,y pairs in the table
once you have at least two points you can graph the function
y = mx + b y-intercept form of the line function
m = slope b is the value of y when x = 0
y = -5x/2 -5 let x = 0 solve for y
y = -5(0)/2 -5
y = 0 - 5
y = -5
y = -5x/2 -5 solve for x
y + 5 = -5x/2 - 5 + 5 add 5 to both sides
y + 5 = - 5x/2
(y +5 )(-2/5) = (-5x/2) (-2/5)
(y +5 )(-2/5) = x let y = 0
(0) +5)(-2/5) = x
5(-2/5) = x
-2 = x
I'll let you have the third variable to pick and solve for the dependent variable. The dependent variable is just wha it sounds like, it is dependent on which ever independent (the value you randomly pick) variable.
Pick either x or y then solve for y or x
y = -5x/2 -5 solve for y
x = (-2/5) (y +5) solve for x
You were born, your mother deposited 2000 in an account that pays 5% simple interest. How much would the balance be in your account when you enter college 18 years after?
A. 18000
B. 1800
C. 3800
D. 20000
Answer:
C
Step-by-step explanation:
the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time
we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)
substitute that value into the formula to get:
A=2000(1+rt)
we also know the rate, which is 5% and the time, which is 18
5%=0.05 (we need it as a decimal)
so substituting the values into the equation:
A=2000(1+0.05*18)
A=2000(1+0.9)
A=2000(1.9)
A=3,800
therefore the answer is C
Hope this helps!
21. Find the value of x.
22. Find the value of x.
Answer:
62° & 54°
Step-by-step explanation:
Answer 21 :-
We know that the measure of a straight line is 180° .
x + 118° = 180° x = 180° - 118° x = 62°Answer 22:-
2x + 1 + 71 = 180 2x = 180 - 72 2x = 108 x = 54°Answer:
62° & 54°
Step-by-step explanation:
Answer 21 :-
We know that the measure of a straight line is 180° .
x + 118° = 180°
=> x = 180° - 118°
=> x = 62°
Answer 22:-
2x + 1 + 71 = 180
=> 2x = 180 - 72
=> 2x = 108
=> x = 54°
Padma's three fastest times in the 50-meter backstroke event were 49.06 seconds, 49.55 seconds, and 48.97 seconds. What is the difference, in seconds, between her two fastest times?
Answer:
0.51 seconds
Step-by-step explanation:
49.55 - 49.06 = 0.51 seconds
find the next number 2,5,12,25,54
Answer:
Step-by-step explanation:
The next number is 110
Julie printed out a picture of each of the five members of her favorite band to decorate her bedroom door. Each picture measures 8
inches by 10 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
OA.
400 square inches
OB. 320 square inches
OC. 480 square inches
OD
180 square inches
solve 3y+1/2x-w=0 for y
9514 1404 393
Answer:
y = 1/3w -1/6x
Step-by-step explanation:
Subtract the terms not containing y, then divide by the coefficient of y.
[tex]3y+\dfrac{1}{2}x-w=0\\\\3y=w-\dfrac{1}{2}x\qquad\text{subtract non-$y$ terms}\\\\\boxed{y=\dfrac{1}{3}w-\dfrac{1}{6}x}\qquad\text{multiply by $\dfrac{1}{3}$}[/tex]
A Solve each problem.
1. Henry flies his plane at 240 mph for 3 hours. How far does he travel?
Distance = speed x time
Distance = 240 x 3 = 720 miles
Answer:
henry doesn't travel but plane travel
Step-by-step explanation:
240m×3hour240m×60×60sec2592000m/sMary Jo spends $2,300 to buy stock in two companies. She pays $19 a share to one of the companies and $24 a share to the other. If she ends up with a total of 100 shares, how many shares did she buy at $19 a share and how many did she buy at $24 a share?
She bought ____ shares at $19 and ___ shares at $24.
Answer:
She bought _20___ shares at $19 and _80__ shares at $24.
Step-by-step explanation:
x + y = 100
19x + 24y = 2300
-19x - 19y = -1900
5y = 400
y = 80
x + 80 = 100
x = 20
She bought _20___ shares at $19 and _80__ shares at $24.
7 and - 1 1/2 on the number line?
Please explain how you got this
Answer:
area = 68 ft²
Step-by-step explanation:
area = 1/2(b1 + b2)(h) = 1/2(9 + 8)(8) = 68 ft²
Answer:
68
Step-by-step explanation:
First find the internal square area (64) then calculate the outer triangles (2 each) to get 68 plz thx, 5 str and mark brainliest
please help I'll give brainliest
Find the surface area of a number cube if the height is 3cm.
Answer: 54 cm²
Step-by-step explanation:
To find the area we have to:
1) Multiply 3 x 3= 9 (we do this because a cube has equal sides so if the height is 3 then the base will be 3).
2) Then take 9 and multiply it by the number of sides of a cube (6 sides)
so, do 9 x 6 = 54cm²
Hope that helped! :)
Answer:
54 cm^3
Step-by-step explanation:
here's your solution
==> surface area of cube = 6a^2
==> a = 3 cm
==> surface area = 6*3^2
==> surface area = 6*9
==> surface area of cube = 54 cm^3
hope it helps
answer all of them please
easy math questions for 20 points
What is the area of the following figure?
Answer:
The answer is 59in
Answer:
242 in^2
Step-by-step explanation:
Area of a rectangle is length x width.
Area of rectangle: 24 in x 7 in = 168 in^2
Area of a trapezoid is 1/2(height)(base 1 + base 2)
Area of the trapezoid on top is 1/2(4)(13+24) = 2(13 + 24) = 2(37) = 74.
The total are is 168 + 74 = 242 in^2
h=-4.9(+-13)(t+2)
h=-4.9(+-13)(t+2)
Answer:
h=63.7t+127.4
Step-by-step explanation: