The quadrilateral that has vertices (2,0), (0,-2), (-2,4) and (-4,2) is option
b. rectangle
Why is it a rectangle?To determine the special quadrilateral that is formed by connecting the midpoints of the sides of the quadrilateral with vertices (2,0), (0,-2), (-2,4) and (-4,2), we can find the midpoints of each side and then determine the shape formed by these points.
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. To find the midpoint of a line segment, we can take the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.
We can find the midpoint of the side between (2,0) and (0,-2) by taking the average of the x-coordinates (2 and 0) and the average of the y-coordinates (0 and -2), which gives us the point (1,-1).
We can find the midpoint of the side between (0,-2) and (-2,4) by taking the average of the x-coordinates (0 and -2) and the average of the y-coordinates (-2 and 4), which gives us the point (-1,1).
We can find the midpoint of the side between (-2,4) and (-4,2) by taking the average of the x-coordinates (-2 and -4) and the average of the y-coordinates (4 and 2), which gives us the point (-3,3).
We can find the midpoint of the side between (-4,2) and (2,0) by taking the average of the x-coordinates (-4 and 2) and the average of the y-coordinates (2 and 0), which gives us the point (-1,1).
Therefore, the special quadrilateral formed by connecting the midpoints of the sides of the given quadrilateral is a rectangle.
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Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
2. What is the acronym we use to remember the 7 most common
conjunctions? *
O FLAPELS
O FANBOYS
O FLAPGIRL
OSYOBNAF
Answer:
fanboys
Step-by-step explanation:
for
and
nor
but
or
yet
so
0000 PLEASE ASAP HELPPPPP
NEEDEDASAP PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
16. 150ft
17. 120ft
18. 14sq in
19. 12ft
20. 100miles
21. 87ft
22. 24in 23. 31in
Step-by-step explanation:
brainliest?
Are these ratios equivalent?
1 teacher to 9 students
5 teachers to 45 students
Answer: yes the ratios 1:9 and 5:45 are equivalent.
Step-by-step explanation:
1:9*5:5=5:45
U got any more math questions that I can answer? I’m really bored and I have to stay busy!
please please help!!
Answer:
A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.
Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12
Answer:
d.) 1/12
Step-by-step explanation:
As it is equal to 0.083 and it is nearest to zero
Answer:
d. 1/12
Step-by-step explanation:
Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.
Kevin collects rain water in a container shaped like a rectangular prism. After a thunderstorm, he notices the container is two-thirds of the way full. How much rain water is in the container?
Answer:
Step-by-step explanation:
What is the unit rate for the following rate: 5 pounds of potatoes costs $10
Answer:
$2 per round of potatoes
Step-by-step explanation:
$10/5 pounds of potatoes= $2
The question is on the problem no links please I will give brainliest
Answer:
54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2
Step-by-step explanation:
Equation for a triangle is A = (1/2) * b * h
Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2
Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2
Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2
Logarithmic Functions have what type of asymptote?
O Horizontal
O Vertical
Answer:
Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.
Find the total surface area of the cylinder below.
Answer:
83.54 in²
Step-by-step explanation:
Brₐinliest plz
what is 3 1/4 x 3 2/5
Step-by-step explanation:
Exact Form:
2485"
Decimal Form:
49.6"
Mixed Number Form:
4935"
A cylinder with a radius of 2 yd and a height of
3 yd.
Answer:
20 π
Step-by-step explanation:
The surface area of a cylinder is made up of 2 circles and its side.
To find the circles' areas, use the area formula for a circle: A = π.
Since our radius is 2 yd, we can substitute r = 2 into this formula.
A = π = 4π
Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.
Now we need to find the surface area of the side.
If we flatten it out, we can see that the side is actually a curled up rectangle.
The length is the circumference of the circle and the width is the height of the cylinder.
To find the circumference, use the circumference formula for a circle: C = 2πr.
Substitute r = 2 into the formula.
C = 2π2 = 4π
Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.
l = 4π
w = 3
A = lw = 4π * 3 = 12π
Finally, we can add the areas of the circles and the side to get the total surface area.
8π + 12π = 20π
And that is your answer!
Please mark as Brainliest! :)
Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 2x + 5ex
Answer:
Step-by-step explanation:
f ''(x) = 2x + 5e^x
f '(x) = x² + 5e^x + D
f (x) = 1/3 x³ + 5e^x + C
help. Set up an equation in use it to solve for X
Answer:
4x+3=83
-3:-3
-----------------
4x=80
x=20
Step-by-step explanation:
write down the street name used on this statement
Will tutors ever come back??
Answer:
Step-by-step explanation:
I don't think so
does anyone know 7-10 ??
Answer:
Step-by-step explanation:
7.18/9 divide 9 and that would equal 2/1 so its 2
8.24/40 divide 8 and that would equal 3/5
9.7/21 divide 7 and that would equal 1/3
10.9/1 stays the same so its 9
The total length of a road trip was 15.6 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
Answer:
The answer is 260.
Step-by-step explanation:
15.6/.06=260.
44,652 divided by 47
Answer: 950. 042553
Step-by-step explanation: Calculator
pls answer a b and c
Answer:
Given
r = 1.6 cmh = 6.2 cma.
Volume of the half-sphere:
V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)b.
Volume of the cylinder:
V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³c.
Volume of the figure:
V = 8.6 + 49.8 = 58.4 cm³Help me pleaseeee!!!! PLEASEEE
Answer:multiply each side to each other
Step-by-step explanation:yea
Each side of quadrilateral TVWX is tangent to circle Y. Find the perimeter of the quadrilateral.
9514 1404 393
Answer:
25.6
Step-by-step explanation:
The sum of opposite sides of the circumscribing quadrilateral is half the perimeter. Here, the opposite sides TV and WX both are shown, so the perimeter is ...
P = 2(TV +WX) = 2(4.5 +8.3) = 2(12.8) = 25.6 . . . units
The perimeter of the quadrilateral is 25.6 units.
Decide whether 2x+8 and 2(x+4)+4 are equivalent expressions. Explain how you know
Answer:
2x+8 and 2(x+4)+4 are not equivalent expressions
Step-by-step explanation:
Firs we need to expand 2(x+4)+4 using the distributive law as shown;
2(x+4)+4
=2(x) + 2(4) + 4
= 2x + 8 + 4
= 2x + 12
Since the result is not equivalent to 2x+8 hence 2x+8 and 2(x+4)+4 are not equivalent expressions
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
You make 12 equal payments. You pay a total of $1752. How much is each paymem?
HELP PLS
Answer:
$146
Step-by-step explanation:
1752/12 = 146
PLEASE PLEASE PLEASE HELPPPPP
Answer:
Step-by-step explanation:
B beacuse I did this before..
The diagram shows the percentages of students who wear glasses in Lynbrook High School. If 2,500 students attend Lynbrook High School, how many students do not wear glasses?
The answer for: The diagram shows the percentages of students who wear glasses in Lynbrook High School. If 2,500 students attend Lynbrook High School, how many students do not wear glasses?
Is 2,250 Students
Do not wear Glasses
Step-by-step explanation:
coefficent of 6x is what
x
6
1
Answer:
X
Step-by-step explanation:
common sense