Answer:
Distributive property
Step-by-step explanation:
The waiting time for a bus has a uniform distribution between 2 and 13 minutes. What is the probability that the waiting time for this bus is less than 4.5 minutes on a given day
Answer: 0.2273
Step-by-step explanation:
Probability density function for uniform distribution is given by :-
[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].
Let x denotes the waiting time for this bus.
Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.
Probability distribution function of x for interval [2,13] will be :-
[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]
Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]
[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]
Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273
Did I do this right math functions need fast
Answer:
The rate of change of Function A is less than the rate of change of function B.
Other than that, everything else you put is correct.
Step-by-step explanation:
None.
Answer:
Option A, B and D are correct options.
Step-by-step explanation:
First we will find rate of change of function A and function B
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=5, x_2=2, y_2=7
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2[/tex]
So, Rate of change of Function A = 2
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the function, we can write the equation: y=2x+3
Now, put x =0
y=2(0)+3
y=3
So, when x =0, y=3
So, y-intercept is 3 for function A.
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=1, x_2=2, y_2=4
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3[/tex]
So, Rate of change of Function B = 3
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the graph, when x=0, y is -2
So, y-intercept is -2 for function B.
We get following answers:
Rate of change of Function A = 2
Rate of change of Function B = 3
y-intercept is 3 for function A.
y-intercept is -2 for function B.
So, The correct options are:
The rate of change of function A and B are positive
The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)
The y-intercept of function A is positive, while y-intercept of function B is negative.
So, Option A, B and D are correct options.
One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.
The coordinates of Q are:
The coordinates of R are:
The slope of MN is:
The slope of PR is:
The line segments are (select)
MN =
PR =
Answer:
See the proof below
Step-by-step explanation:
Given the following coordinates
P(2, −1)
Midpoint of PQ M(3, 0)
We can get the coordinate point Q using the midpoint formula;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
3 = 2+x2/2
6 = 2+x2
x2 = 6-2
x2 = 4
Y = y1+y2/2
0 = -1+y2/2
0 = -1 + y2
y2 = 0+1
y2 = 1
Hence the coordinate of Q is (4, 1)
Next is to get the coordinate of R
Given the midpoint of QR to be N(5, 3)
(5,3) = (4+x2/2, 1+y2/2)
5 = 4+x2/2
10 = 4+x2
x2 = 10-4
x2 = 6
1+y2/2 = 3
1+y2 = 6
y2 = 6-1
y2 = 5
Hence the coordinate of R is (6,5)
Given the coordinates M(3, 0) and N(5, 3)
Slope is expressed as:
m = y2-y1/x2-x1
m = 3-0/5-3
m = 3/2
Slope of MN = 3/2
Get the slope of PR
Given the coordinates P(2, −1) and R (6,5)
Slope of PR = 5-(-1)/6-2
Slope of PR = 5+1/4
Slope of PR = 6/4 = 3/2
Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR
To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:
For MN with coordinates M(3, 0) and N(5, 3)
MN = √(x2-x1)²+(y2-y1)²
MN = √(5-3)²+(3-0)²
MN = √2²+3²
MN = √13
Get the length of PR where P(2, −1) and R (6,5)
PR = √(6-2)²+(5+1)²
PR = √4²+6²
PR = √16+36
PR = √52
PR = √4*13
PR = √4*√13
PR = 2√13
Since MN = √13
PR = 2MN
Divide both sides by 2
PR/2 = 2MN/2
PR/2 = MN
Hence MN = 1/2 PR (Proved!)
4 The expression (2x² + 6x + 5)-(6x² + 3x + 5) is
equivalent to
1) 4x2 + 3x
2) 4x2 – 3x
3) 4x2 – 3x + 10
4) 4x2 + 3x - 10
Answer:
1) 4x² + 3x
Step-by-step explanation:
Add/Combine like terms:
2x² - 6x² = -4x²
6x - (+3x) = 3x
5 - (+5) = 0
Simplify: -4x² + 3x
What percent is equivalent to 24/50 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
(24/50)2
= 48/100
= 48%
Find the value of f(x) = -3x +2
When x=2
Answer:
it is -4
Step-by-step explanation:
-3 * 2 = -6 + 2 = -4
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
A football is kicked straight up into the air from 3 feet above the ground with an initial velocity of 208 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 208t + 3.
a) Find how long it takes for the football to reach its maximum height.
b) Determine how long the football was in the air (approximately). Why might this not quite be accurate?
c) Determine the maximum height of the football.
Answer:
a) 6.5 secondsb) 13 secondsc) 679 ftStep-by-step explanation:
Given function:
h(t) = -16t^2 + 208t + 3a) Maximum height is the vertex. The ball reaches the maximum after:
h = -208/2(-16) = 6.5 secondsb) Time the ball was in the air:
-16t^2 + 208t + 3 = 0Solving we get approximately t = 13 seconds
c) Maximum height is at vertex, we found t above:
h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ftWhat are the solutions to the absolute value inequality |x − 70| ≤ 3?
Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3
or as x − 70 ≤ 3 and x − 70 ≥ −3.
Answer:
67 ≤ x ≤ 73
Step-by-step explanation:
The absolute value of a real number x is the non negative value of x. Therefore the absolute value of x (|x|) = x for x ≥ 0 and -x for x < 0.
An expression |x - a| = b signifies that x - a = b or -(x - a) = b
Given that |x − 70| ≤ 3, hence:
|x − 70| ≤ 3
x - 70 ≤ 3 or -(x - 70) ≤ 3
x ≤ 3 + 70 or x - 70 ≥ -3
x ≤ 73 or x ≥ -3 + 70
x ≤ 73 or x ≥ 67
67 ≤ x ≤ 73
Hence the solution of |x − 70| ≤ 3 is 67 ≤ x ≤ 73
Using the formula A = 6s2, solve when s = 2?
Answer:
When s=2, A=24
Step-by-step explanation:
We are given the formula [tex]A = 6s^2[/tex]
We need to solve and find value of A , when s=2
So, putting value of s in the given formula we can find value of A
The formula given is:
[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]
So, by putting s= 2, We get A=24
Simplify
2g + 4h + 4i -8g + 3h - 4i
Answer:
-6g + 7h
Step-by-step explanation:
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
6936 pints and 1156 cups
Step-by-step explanation:
Answer:
7514 pints
Step-by-step explanation:
i rechecked and this was correct?
The volume of a right rectangle prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 50 cubic inches. If the height of the prism is 4 inches, what is the area of the base of the prism?
9514 1404 393
Answer:
12.5 square inches
Step-by-step explanation:
The area of the base can be written as ...
B = LW
Then the volume formula ...
V = LWH
can be written in terms of the base area as ...
V = BH
The base area can be found by dividing by the height:
B = V/H = (50 in³)/(4 in) = 12.5 in²
The area of the base is 12.5 square inches.
A mother otter spends 1/3 of each day feeding her baby. How many hours does the mother otter spend feeding her baby in 1 week?
y is inversely proportional to x. What are the values of a and b?
Answer:
HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please
Step-by-step explanation:HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please
Which of the following rational numbers is equal to that? please help quickly
Answer:
31/9. you have to count by nines, get three whole numbers which are not fractions, and you are left with 4. and a whole 3 plus 0.4 = 3.4 hope that helps homie
hi can you tell me whether a appeal must be filed within 6 months of a claim determination. its medical billing chapter 18
Answer: Decisions and Determinations -If a Medicare appeal request does not result in a dismissal, adjudication of ... dismissal by providing an explanation for the late filing to the MAC within 6 months of the dismissal of the.
Step-by-step explanation:g brain
What is the slope of the line
(Picture below)
A company wants to test clear deck sealants for weather resistance. Three brands of sealants will be tested using 60 pieces of decking wood. The company wants to create treatment groups of 20 pieces of wood each, and decide to randomize using slips of paper. Select all the approaches that would result in comparable treatment groups. The numbers 1, 2, and 3 are each written on 20 slips of paper, and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is returned to the hat. This continues until all pieces of wood have been assigned to a group. The numbers 1, 2, and 3 are written on three slips of paper, put into a hat, and shaken well. A slip is drawn and the first 20 pieces of wood on the stack are assigned to the group number on the slip. Another slip is drawn and the next 20 pieces of wood are assigned to that group. The remaining pieces of wood are assigned to the remaining group. Each piece of decking wood is assigned a number from 1 to 60. The numbers 1–60 are written on slips of paper and placed in a hat and shaken well. Twenty slips are drawn, shaking the hat after each slip of paper is drawn, and the pieces of wood corresponding to those numbers are placed in group 1. Twenty more slips are drawn in the same way, and the pieces of wood corresponding to those numbers are placed in group 2. The pieces of wood corresponding to the numbers on the remaining slips are placed in group 3. The numbers 1, 2, and 3 are each written on 20 slips of paper (20 for each number) and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected, and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is not returned to the hat. This continues until all pieces of wood have been assigned to a group.
Answer:
The Answer is C and D
Step-by-step explanation:
Just did it
turn -2x+4y=0 into slope-intercept form
Write the fraction as a percent.
1/400
Answer:
0.25%
Step-by-step explanation:
Answer:
0.25%
Step-by-step explanation:
1/4 = 0.25
1/40 = 0.025
1/400 = 0.0025 = 0.25%
Answer: 0.25%
Raul is considering three different
Answer:
WHAT?!
Step-by-step explanation:
I need help with this
Answer:
x = 24.52
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem: a² + b² = c²
24² + 5² = x²
576 + 25 = x²
601 = x²
√601 = x
PQR is a translation of PQR. What are the rules?
Answer:
Step-by-step explanation:
Select all of the solutions to the equation below.
12x2=24
−23–√
23–√
−2–√
2–√
−2
2
Answer:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
Step-by-step explanation:
12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24
Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?
A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78
Answer:
D
Step-by-step explanation: edge 2021
What is the slope of a line parallel to y=2x + 3
Answer:
2
Step-by-step explanation:
The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .
Hello!
Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.
Therefore, the slope is 2. Hope it helps.
If you have any questions, feel free to ask.
~A forlorn teen
[tex]MagicalNature[/tex]
hellpp please 20 points for that
Answer:
a) 12cm
b) 360cm²
c) 2160cm cubed
Step-by-step explanation:
a)
you would use Pythagoras theorem for A
so half of 18 is 9
15² - 9² = 144
the square root of 144 is 12
the height is 12cm
b)
18 x 20 = 360cm²
c)
csa x L
csa = b x h divide by 2
18 x 12 = 216cm²/2 = 108cm²
108xm² x 20cm = 2160cm cubed
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
PLEASE HELP ME THANK YOU ILL MARK BRAINLESS
Answer: y=4/3x-8
Step-by-step explanation: