Answer:
Step-by-step explanation:
The slope of line AB is
[tex]\frac{2-8}{3-(-3)} = \frac{-6}{6} = -1[/tex]
The slope of line CD is
[tex]\frac{-1-1}{5-7} = \frac{-2}{-2} = 1[/tex]
Since the slopes multiply to [tex]-1[/tex], these lines are perpendicular to one another.
The lines AB and CD are perpendicular to one another.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
let (x₁, y₁ ) = A(-3,8), and (x₂, y₂ ) = B(3,2)
The slope of line AB is;
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 2 - 8) / ( 3 +3 )
m = -1
let (x₁, y₁ ) = C(7,1) and (x₂, y₂ ) = D(5,-1)
The the slope of line CD is;
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( -1 - 1) / ( 5 - 7 )
m = 1
Since slope of AB and CD are not equal the lines are not parallel therefore, these lines are perpendicular to one another.
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the volume of this prism is 378cm^3.
What is the length of x?
Answer:
The answer is 14
Step-by-step explanation:
All you have to do is Divide 378 by 27 to get x
Hope This Helps!
Hurry no links pls Eve can take one of three different buses to and from work
(bus A, B, or C). She randomly catches one bus in the
morning and another one on the way home. This table lists
the sample space of outcomes.
Afternoon
A
в с
A AA AB AC
Morning
B BA BB BC
C CA CB CC
In the event AB, Eve rides the A bus in the morning and the
B bus in the afternoon.
Which outcome would be included in the event "rides bus C both ways"?
A. CC
B. AA
C. BC
D. CA
What is the unit rate per watermelon if a store has them on sale for buy 5 watermelon for $11.50? Unit rate =$
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
Last semester, Mr. Dean had 8 students who built a sailboat in 160 working hours. The time that
takes for a group of students to build a sailboat varies inversely as the number of students s working on the
sailboat. How many hours would it take 12 students to build the bout?
Answer:
106.67 hours
Step-by-step explanation:
Total hours
160 * 8 = 1,280
Hours for group of 12
1280 / 12 = 106.6666666667
PLEASE HELP I WILL MAKE YOU THE BRAINLIEST IF IT LETS ME
NO FAKE LINKS OR I WILL REPORT YOU
Answer:
b
Step-by-step explanation:
since 5 is 1/2 of 10, 10 is 1/2 of 20, and so on and so forth.
Answer:
B
Step-by-step explanation:
Every number on A is half what the corrisponding number on B
Solve for x
3x−2=4x+5
Answer:
the answer for x equal negative 7
find the equivalent expression (3n+2 - 6n2) + (-4n3 - 1 + 8n)
a -5n3+11n+1
b-4+11n-1
c-8n3+11n+1
d-4n3+11n+1
Answer: [tex]-4n^3 -6n^2 +11n+1[/tex]
Step-by-step explanation:
[tex](3n+2-6n^2)+(-4n^3 -1+8n)\\\\=3n+2-6n^2 -4n^3 -1+8n\\\\=-4n^3 -6n^2 +11n+1[/tex]
Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio using the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4
Answer:
Options are not clear.
See explanation
Step-by-step explanation:
Given
[tex]C = (-4,1)[/tex]
[tex]D = (3,3)[/tex]
[tex]m : n =5:2[/tex]
Required
The y coordinate
When a line is divided into segments, by ratios.
The formula is:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
By comparison:
[tex]y = \frac{my_2 + ny_1}{m + n}[/tex]
Where:
[tex]y_1 = 1; y_2 = 3[/tex]
[tex]m : n =5:2[/tex]
So, we have:
[tex]y = \frac{5*3 + 2*1}{5 + 2}[/tex]
[tex]y = \frac{15 + 2}{7}[/tex]
[tex]y = \frac{17}{7}[/tex]
Answer:
{5/7}(3-1)+1
Step-by-step explanation:
got it right on edg
How do I multiply 73.458 × 0.39
I need help quick 5 mins leftyttt
Answer:
I don't know sorry :((((((((((((((((
Step-by-step explanation:
BRAINLIEST PLEASSEEEEE HELP
7TH GRADE MATH
10PTSSSSS EASYYY
PLEASE HELP
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2
Answer:
B
Step-by-step explanation:
can someone help? i need to create a word problem using this equation. it is a quadratic equation and it’s 1/4x squared to the two.
Answer:Diana has a car that is worth 40000 dollars each year the car loose value of 1/4 the original value.How much will the car be worth 2 years after she bought it?
Step-by-step explanation:
The two pyramids below are similar. What is the length of the altitude of the
smaller pyramid?
HELP PLEASE
Answer:
The answer is B. [tex]\frac{6}{5}[/tex].
Step-by-step explanation:
In order to solve for the length of the altitude of the smaller pyramid, start by writing the length of the altitudes and the length of the pyramids in a proportion. The proportion should look like [tex]\frac{3}{5}[/tex] = [tex]\frac{x}{2}[/tex] because each number has to correspond with its similar number.
Next, cross multiply both fractions to get an equation, which will look like 5x=(3)(2). Simplify the equation, and now it will look like 5x=6.
Then, divide both sides by 5, and the final answer will be [tex]\frac{6}{5}[/tex].
As shown below the circle O has a radius of 6 inches. To the nearest tenth of an inch, determine the length of the arc, x, sub tended by an angle of 1.3 radians
Answer:1537/90 * pi
Step-by-step explanation:
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66
Distance on a Coordinate Plane
Determine the distance between the two points.
Answer:
The distance between the points is five for the first one and 7 for the second one.
Step-by-step explanation:
HELP ASAP PLS
The lifespan of a car battery is normally distributed with µ = 5 years and σ = 1.2 years. What is the probability that a new battery will last between 7 and 8 years?
a. 3.61%
b. 13.74%
c. 4.16%
d. 2.15%
Answer:
4.16%
Step-by-step explanation:
Had it on my test gl!
The probability that a new battery will last between 7 and 8 years is 4.16%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
µ = 5 years and σ = 1.2
Now, P( 7 < x <8)
= P ( 7- µ/σ < x- µ/σ < 8- µ/σ)
= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)
= P (1.5 < z < 2.5)
= Φ(2.5) - Φ (1.5)
= 0.9938 - 0.9522
= 4.16%
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which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000
Answer:
C. 63/100
hope this helps
have a good day :)
Step-by-step explanation:
A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.
Given:
Fixed salary = $1400
Additional salary = $500 each time he sells a car.
To find:
The equation for the situation and how much money he will make if he sells 7 cars.
Solution:
Let y be the total salary of the salesman after selling x cars.
He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.
Total salary = Fixed salary + Additional salary
[tex]y=1400+500x[/tex]
Substituting [tex]x=7[/tex], we get
[tex]y=1400+500(7)[/tex]
[tex]y=1400+3500[/tex]
[tex]y=4900[/tex]
Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.
HELP PLSSS HURRY PLS
Answer:
48
Step-by-step explanation:
because it gives us the perimeter, we add all the sides
4z-1+4z-1+5z+3+5z+3=166
8z-2+10z+6=166
18z+4=166
18z=162
z=9
side PS is 5z+3
plug in z to get 45+3=48
I need the answer fast
The answer is the first one, A = 0.5bh. I hope this helps, have a good day!
What is the length of the sink using the red line on the tape measure?
Answer:
A.
Step-by-step explanation:
Which value of x is a solution of x<-2
Answer:
Given that the magnitude of x would be lesser than < -2
Then it would consisted with the values smaller than -2
x { -3,-4,-5,-6,......,-infininty} (ans)
Hope it helps
Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
___ square inches
Answer:
49.12 in²
Step-by-step explanation:
The composite figure here is a semicircle and a triangle :
Area of triangle = 1/2 * base * height
Base of triangle = 8 inches ; height = 6 inches
Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²
Area of semicircle = 1/2 * πr²
Radius = 4 in
Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²
Area of composite figure :
Area of triangle + Area of semicircle
(24 in² + 25.12 in²)
= 49.12 in²
There are 80 new houses being built in a neighborhood. Last month 2/5 of them were sold. This month, 1/8 of the remaining houses were sold. How many houses are left to be sold?
Answer:
41 houses
Step-by-step explanation:
Given the following data;
Total number of house = 80 houses
Fraction sold in the 1st month = 2/5
Fraction sold in the 2nd month = 1/8
To find the number of houses left unsold;
Number sold in the 1st month = 2/5 * 80
Number sold in the 1st month = 160/5
Number sold in the 1st month = 32 houses
Numbers of houses left = 80 - 32 = 48 houses
Number sold in the 2nd month = 1/8 * 48
Number sold in the 2nd month = 48/8 = 7 houses
Number of houses left = 48 - 7 = 41 houses
how to put 10x - 3y= -6 in slope intercept form
Answer:
y=10/3x+2
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10x-3y=-6
-10x. -10x
-3y=-6-10x
/-3. /-3
y=10/3x+2
An art class is planning to paint a mural on an outside wall.The figure below is a scale
drawing of the wall. What is the area of the actual wall?
Answer:
Step-by-step explanation:
I dont see The figure to hepl you
Segment AB, with endpoints A(-6,9) and B(12, -3), is dilated by a scale factor of 2/3 centered at the origin. What are the coordinates of A'?
9514 1404 393
Answer:
A'(-4, 6)
Step-by-step explanation:
When dilation is about the origin, the image points are the preimage points multiplied by the scale factor.
A' = (2/3)A = (2/3)(-6, 9)
A' = (-4, 6)
Answer:
(-4, 6)
Step-by-step explanation:
I need Help!
+9 - (+12) =?
Answer:
+9-12
==3
Step-by-step explanation:
when u multiply - and + it will always be -
Answer:
To simplify this, it is simply.
9 - 12
Because the + means its a positive.
9 - 12 = - 3