Answer:
range = 27
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest = 95 , smallest = 68
range = 95 - 68 = 27
Answer:
46
Step-by-step explanation:
PLEASE HELP: A random sample of 200 students are chosen from a student population of 1200 students. which sample do you think is more likely to be representative of the population
Answer:
random sampling is more accurate
Is this adjacent, vertical, linear, or complimentary?
Answer:
the adjacent is compimentary
Step-by-step explanation:
because I passed
BRAINLIEST?! :D
You look up at a 70°
angle and see a plane directly above a building that is 30 meters away from you. How high is the plane flying? Round your answer to the nearest tenth.
Answer:
tan 70 times thirty gives you -1.70
A student is interested in the depth of the water off the
end of the local pier. Starting at midnight, he measures
the depth of the water every three hours for an entire
day and records the results in the table.
The equation of the least-squares regression line is
9 = 13.0 -0.259x, where y is the depth of the water
and x is the number of hours past midnight. Which
shows the residual plot?
For edge
The residual plot regarding the depth of the water is the difference between the observed response and the fitted response values.
What is a residual plot?Your information is incomplete. Therefore, an overview of a residual plot will be given. A residual plot is a graph that shows the residual on the vertical axis while the independent variable is on the horizontal axis.
Here, the equation of the least-squares regression line is 9 = 13.0 -0.259x, where y is the depth of the water and x is the number of hours past midnight.
In this case, the residual plot regarding the depth of the water is the difference between the observed response and the fitted response values.
Learn more about residual plot on:
https://brainly.com/question/3297603
Answer: C
Step-by-step explanation: Edge '23 Trust me
How to solve this 2 question?
8. For brevity, let U = unemployed, E = employed, M = male, F = female. We're given that
P(M) = P(F) = 50/100 = 1/2
P(U) = 60/100 = 3/5
P(M | U) = 2/3
P(E) = 40/100 = 2/5
P(F | E) = 3/4
8a. This follows immediately from the given information. Specifically,
P(E) = 1 - P(U) = 1 - 3/5 = 2/5
8b. By definition of conditional probability,
P(A | B) = P(A and B) / P(B) ⇒ P(A and B) = P(A | B) P(B)
It follows that
P(M and U) = P(M | U) P(U) = 2/3 • 3/5 = 2/5
8c. Using Bayes' rule/the definition of conditional probability,
P(U | F) = P(U and F) / P(F) = P(F | U) P(U) / P(F)
Since F and M are mutually exclusive,
P(F | U) = 1 - P(M | U)
and so
P(U | F) = (1 - 2/3) • 3/5 / [(1 - 2/3) • 3/5 + 3/4 • 2/5] = 2/5
8d. Here we assume gender and employment status are independent, so for instance
P(F and E) = P(F) P(E)
We then have by the inclusion/exclusion principle that
P(F or U) = P(F) + P(U) - P(F and U) = P(F) + P(U) - P(F) P(U)
We also have by the law of total probability
P(F) = P(F and U) + P(F and E)
so
P(F or U) = P(F and U) + P(F and E) + P(U) - P(F) P(U)
By the assumed independence,
P(F or U) = P(F) P(U) + P(F) P(E) + P(U) - P(F) P(U)
P(F or U) = P(F) P(E) + P(U)
P(F or U) = 1/2 • 2/5 + 3/5 = 4/5
9.
a. This is mostly a matter of counting the ways a given type of stamp can fall out.
[tex]P(A) = \dfrac{\dbinom{20}3}{\dbinom{24}3} = \dfrac{285}{506}[/tex]
since there are 20 non-green stamps.
[tex]P(B) = \dfrac{\dbinom21 \dbinom{22}2}{\dbinom{24}3} = \dfrac{21}{92}[/tex]
since there are 2 red and unused stamps, 1 of which we want; the other 2 stamps come from the remaining 22 non-red-and-unused stamps.
[tex]P(A \cap B) = \dfrac{\dbinom21 \dbinom{18}2}{\dbinom{24}3} = \dfrac{153}{1012}[/tex]
since exactly 1 of the stamps must be red and unused, and the other 2 stamps that fall out can be neither green nor red and unused.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = \dfrac{162}{253}[/tex]
which follows from the inclusion/exclusion principle.
b. There is a total of 10 used stamps, so the probability of at least 1 going missing is
[tex]P(C) = \dfrac{\dbinom{10}1\dbinom{14}2 + \dbinom{10}2\dbinom{14}1 + \dbinom{10}3}{\dbinom{24}3} = \dfrac{415}{506}[/tex]
By definition of conditional probability,
[tex]P(C \mid A) = \dfrac{P(C \cap A)}{P(A)}[/tex]
However, there are no used green stamps; any used stamp that goes missing must be red, blue or yellow. So the event A ∩ C is really just the event C, and
[tex]P(C \mid A) = P(C) = \dfrac{415}{506}[/tex]
c. A and C are independent if and only if
[tex]P(A \cap C) = P(A) P(C)[/tex]
We know
[tex]P(C \cap A) = P(C)[/tex]
so if A and C are independent, then
[tex]P(C) = P(A) P(C)[/tex]
but this would imply P(A) = 1, which is clearly not the case as we found in 9.a. So A and C are not independent.
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
Answer:
NoYesYesYesNoNoStep-by-step explanation:
18+x=24 and 6x+3 fail distributive property, while 3(6+x)=72 is not the same as 3(6+x)=24
na conta de adição (soma) representa a seguir
Step-by-step explanation:
I only understand English i am sorry
Can yo solve this ones, please? in adittion, can you put answers and the process. The topic are area down the curve
1) The net area between the two functions is 2.
2) The net area between the two functions is 4/3.
3) The net area between the two functions is 17/6.
4) The net area between the two functions is approximately 1.218.
5) The net area between the two functions is 1/2.
How to determine the area between two functions by definite integrals
The area between the two curves is determined by definite integrals for a interval between two values of x. A general formula for the definite integral is presented below:
[tex]A = \int\limits^{b}_{a} {[f(x) - g(x)]} \, dx[/tex] (1)
Where:
a - Lower limitb - Upper limitf(x) - "Upper" functiong(x) - "Lower" functionNow we proceed to solve each integral:
Case I - [tex]f(x) = \sqrt{x}[/tex] and [tex]g(x) = x^{2}[/tex]The lower and upper limits between the two functions are 0 and 1, respectively. The definite integral is described below:
[tex]A = \int\limits^1_0 {x^{0.5}} \, dx - \int\limits^1_0 {x^{2}} \, dx[/tex]
[tex]A = 2\cdot (1^{1.5}-0^{1.5})-\frac{1}{3}\cdot (1^{3}-0^{3})[/tex]
[tex]A = 2[/tex]
The net area between the two functions is 2. [tex]\blacksquare[/tex]
Case II - [tex]f(x) = -4\cdot x[/tex] and [tex]g(x) = x^{2}+3[/tex]The lower and upper limits between the two functions are -3 and -1, respectively. The definite integral is described below:
[tex]A = - 4 \int\limits^{-1}_{-3} {x} \, dx - \int\limits^{-1}_{-3} {x^{2}} \, dx - 3 \int\limits^{-1}_{-3}\, dx[/tex]
[tex]A = -2\cdot [(-1)^{2}-(-3)^{2}]-\frac{1}{3}\cdot [(-1)^{3}-(-3)^{3}] -3\cdot [(-1)-(-3)][/tex]
[tex]A = \frac{4}{3}[/tex]
The net area between the two functions is 4/3. [tex]\blacksquare[/tex]
Case III - [tex]f(x) = x^{2}+2[/tex] and [tex]g(x) = -x[/tex]The definite integral is described below:
[tex]A = \int\limits^{1}_{0} {x^{2}} \, dx + 2\int\limits^{1}_{0}\, dx + \int\limits^{1}_{0} {x} \, dx[/tex]
[tex]A = \frac{1}{3}\cdot (1^{3}-0^{3}) + 2\cdot (1-0) +\frac{1}{2}\cdot (1^{2}-0^{2})[/tex]
[tex]A = \frac{17}{6}[/tex]
The net area between the two functions is 17/6. [tex]\blacksquare[/tex]
Case IV - [tex]f(x) = e^{-x}[/tex] and [tex]g(x) = -x[/tex]The definite integral is described below:
[tex]A = \int\limits^{0}_{-1} {e^{-x}} \, dx+ \int\limits^{0}_{-1} {x} \, dx[/tex]
[tex]A = -(e^{0}-e^{1}) + \frac{1}{2}\cdot [0^{2}-(-1)^{2}][/tex]
[tex]A \approx 1.218[/tex]
The net area between the two functions is approximately 1.218. [tex]\blacksquare[/tex]
Case V - [tex]f(x) = \sin 2x[/tex] and [tex]g(x) = \sin x[/tex]This case requires a combination of definite integrals, as f(x) may be higher that g(x) in some subintervals. The combination of definite integrals is:
[tex]A = \int\limits^{\frac{\pi}{3} }_0 {\sin 2x} \, dx - \int\limits^{\frac{\pi}{3} }_{0} {\sin x} \, dx + \int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin x} \, dx -\int\limits^{\frac{\pi}{2} }_{\frac{\pi}{3} } {\sin 2x} \, dx[/tex]
[tex]A = -\frac{1}{2}\cdot (\cos \frac{2\pi}{3}-\cos 0)+(\cos \frac{\pi}{3}-\cos 0 ) -(\cos \frac{\pi}{2}-\cos \frac{\pi}{3} )+\frac{1}{2}\cdot (\cos \pi-\cos \frac{2\pi}{3} )[/tex]
[tex]A = \frac{1}{2}[/tex]
The net area between the two functions is 1/2. [tex]\blacksquare[/tex]
To learn more on definite integrals, we kindly invite to check this verified question: https://brainly.com/question/14279102
Write an expression for the area of the following regular polygon?
Answer:
126x - 42x²
Step-by-step explanation:
Finding the necessary information
P = Perimeter = 6(6 - 2x) = 36 - 12xa = 7xArea
1/2 x (36 - 12x) x 7x(18 - 6x) x 7x126x - 42x²a number d is decreased by 5 and then doubled
Solve using the square root property.X^2=-12
Answer:
x = ± 2i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{-1}[/tex] = i
x² = - 12 ( take square root of both sides )
x = ± [tex]\sqrt{-12}[/tex] = ± [tex]\sqrt{4(3)(-1)}[/tex] = ± 2i[tex]\sqrt{3}[/tex]
[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.
Which mold can he use to make the larger-sized candle?
A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold
B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold
C. a cylinder with a height and a radius that are each double the length of those of the original mold
D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Step-by-step explanation:
Answer:
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.
Step-by-step explanation:
A real estate agent works on a 9% commission. What is her commission on a house that she sold for $691,600?
Answer:
$ 62 244
Step-by-step explanation:
Commission = .09 * 691600 =
Find the product of 3.6 and 0.003
Answer:
0.0108
Step-by-step explanation:
3.6 multiplied by 0.003
1. First you write down the numbers one on top of the other
0.003
x 3.6
-----------
2. Multiply 6 by all the numbers in 0.003
0.003
x 3.6
-----------
0018
3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place
0.003
x 3.6
---------------
0018
+ 00090
---------------
4. Add the numbers you got
0.003
x 3.6
---------------
0018
+ 00090
---------------
00108
5. Count the number of decimal points or numbers after the decimal point in both numbers and add them
3.6 = one decimal place
0.003= three decimal places
Three plus one = four
6. Count the total number of decimal places
0010.8 = one decimal place
001.08 = two decimal places
00.108 = three decimal places
0.0108 = four decimal places
f(X)= 4X+8 g(X)= X+3, find f(X) • g(X)
Answer:
[tex]4x + 20[/tex]
Step-by-step explanation:
[tex]4(x + 3) + 8 = 4x + 12 + 8 = 4x + 20[/tex]
You can buy 1 pound of chocolate for 7.99 how much is a chocolate pronounce round your answer to the nearest cent
Answer:
Step-by-step explanation:
1 pound = 16 ounces
16 ounces = $7.99
1 ounce = $0.50 (about)
Point B (1 -3) is reflected across the x-axis to point D. What are the coordinates of point D?
Answer:
D (1;3).
Step-by-step explanation:
1) the condition 'across the X-axis' means the x-coordinate is not changed, the y-coordinate is changed to positive value. Then
2) the required coordinates of point D are (1; 3).
note, the suggested option is not the only one.
2x + y = 7 - 9x + 6y = 0
x=2
Step-by-step explanation:
y=7-2x -------(1)
6y=9x
y=9x/6 = 3x/2------(2)
Now,
Equation equation 1 and 2
7-2x= 3x /2
2(7-2x)=3x
14-4x=3x
14=4x+3x
14=7x
14/7=x
x=2
Compare the functions shown below:
g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3
Using complete sentences, explain which function has the greatest y-intercept.
Answer:
I know 3 h(x)=4sin(2x+pi)+3 is the correct option.
Step-by-step explanation:
I don't exactly know why but based on examples in this class I made this conclusion.
Answer:
all are -3
Step-by-step explanation:
substitue 0
If 25 workers can complete a work in 48 days, then in how many days 20 workers will complete the same work?
Answer:
heya! ^^
given that ,
25 workers together complete a certain piece of work in 48 days.
here , we've to find the number of days in which 20 workers can complete the same work ~
_____________________________
so let's start ~
★ 25 workers complete the work in = 48 days
★ 1 worker will complete the work in = 25 × 48 days
now ,
29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]
hope helpful :D
Answer:
60 days
Step-by-step explanation:
Thing to Remember
Number of workers is inversely proportional to the number of daysSolving
25 men can do a certain amount of work in 48 days25 men is reduced to 20 men ⇒ x 4/5Therefore, no. of days = inverse of rate of workers x 48⇒ 5/4 x 48 = 5 x 12 = 60 daysA 2-pack of jump ropes costs $1.80. What is the unit price?
$
per jump rope
Answer:
90 cents
Step-by-step explanation:
you divide 1.80 by 2 and get .9 which is equal to 90 cents
Answer:
$0.90
Step-by-step explanation:
literally just divide by 2
The probability that a randomly selected 25-year-old male will survive the year is 0.9984 according to a report on vital
statistics. If three randomly selected 25-year-old males are selected from the general population, explain how to find the
probability that all three will survive the year. Follow the rules for significant figures.
Answer:
0.9952076759
Step-by-step explanation:
Probability that all three survive
= 0.9984 × 0.9984 × 0.9984
= 0.9952076759
please help me Find the value of x
Answer:
x=3
Step-by-step explanation:
3x+1+15
/2
= 12.5
Evaluate f(p) = p + 2 when p = -3
Answer:
-1
Step-by-step explanation:
we plug in p = -3 in the equation to get the answer.
f(p) = -1
sophia is designig a logo with three lines,y, m, and n. Line m passes through point (-2, -1) and is perpendicular to the graoh of y=-2/3 x +6. line n is parallel to line m and passes through the point (4, -3). what is the equation in slope-intercept form of linen?
Answer:
y = 3/2x - 9
Step-by-step explanation:
Finding equation of line m
⊥ to the line y = -2/3x + 6new slope = -(-3/2) = 3/2Passes through the point (-2, -1)y + 1 = 3/2(x + 2)y + 1 = 3/2x + 3y = 3/2x + 2Equation of line n
Parallel ⇒ slope is same = 3/2Passes through the point (4, -3)y + 3 = 3/2(x - 4)y + 3 = 3/2x - 6y = 3/2x - 9Answer:
[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]
Step-by-step explanation:
Equation of line m
If two lines are perpendicular to each other, the product of their slopes will be -1.
The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]
Therefore, the slope of the line m is:
[tex]\implies m \times -\dfrac23=-1[/tex]
[tex]\implies m=\dfrac32[/tex]
If line m passes through point (-2, -1), then the equation of line m is:
[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]
[tex]\implies y+1=\dfrac32(x+2)[/tex]
[tex]\implies y=\dfrac32x+2[/tex]
Equation of line n
If line n is parallel to line m, then they will have the same slope.
Therefore, slope of line n is [tex]\frac32[/tex]
If line n passes through point (4, -3), then the equation of line n is:
[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]
[tex]\implies y+3=\dfrac32x-6[/tex]
[tex]\implies y=\dfrac32x-9[/tex]
For f(x) = 2 – 2x2, evaluate f(-4).
Answer:
x = 1 ± [tex]\sqrt2[/tex]
Step-by-step explanation:
Hope this helped! Have a nice day!
Please give Brainliest when you can.
- King Jaron
Adam earns $36 for every four hours of work how long will it take him to earn $144
Answer:
It will take 16 hours to earn $144.
Step-by-step explanation:
If Adam earns $36 in 4 hours,
36 = 4k
k = 9
Therefore, expression for total earnings will be,
y = 9x
a). For y = $144, 144 = 9x x = 16 hours
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
50, 30 and 20
Step-by-step explanation:
Check out the attached photo
In making a budget, a person should spend about one-third of his or her salary on
rent or housing, should put about one-tenth into a savings account, and should
plan to have about one-third taken out in taxes. What fraction of a person’s salary
is then left for everything else?
Lets see
One-third on rentOne tenth on savingsOne third for taxesLeft:-
1-(1/3+1/10+1/3)1-(20+20+3/30)1-43/3030-43/10-13/10Not left anything
Six divided by one thirds
Answer:
18/1
Step-by-step explanation:
Answer:
1/2. I think if I'm wrong I'm sorry