Answer:
x=-3/2 and x=1 is the zeros of the equation
A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is a. 128 b. 56 c. 512 d. 24
Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 items are chosen from a set of 8, hence:
[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
Please help me thank you so much!
Answer: the third one
Step-by-step explanation: how i know by guessing
The following points (-4, 3), (-2, -1), (3, 1) are vertices of a parallelogram, find the coordinates of the THREE POSSIBLE LOCATIONS, of the fourth vertex
Answer:
A’(5 , -3)
B’(1 , 5)
C’(-9 , 1)
Step-by-step explanation:
Let A be the point of coordinates (-4, 3)
Let B be the point of coordinates (-2, -1)
Let C be the point of coordinates (3, 1)
____
In this case we can form three parallelograms ABA’C, BAB’C , CAC’B
How to find the coordinates of the fourth point A’ of the parallelogram ABA’C
Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :
[tex]\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}[/tex]
________________________
We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.
B’(1 , 5)
C’(-9 , 1)
what is 90x40+50-20x45=20-15(34)-(20)+
Answer:
2750=-510
Step-by-step explanation:
hope this helps ._.
What is the area, in square feet, of the rectangle shown below
Answer:
Step-by-step explanation I can answer if you pin in the pic below
Help please i need to finish or i will not pass
Answer:
its 12p bro...
Step-by-step explanation:
There are 12 cards a pack. Carter bought a unknown amount of packs, so this is represented by p.
Think of it this way.
12p = 12*p
This is because of the distributive property.
Please solve this for me
Go Q 7x12 7
what is it?
Answer:
7*12= 84
Step-by-step explanation:
Hope this helps.
What is 40% of 160?
OA 20
OB. 40
OC. 32
OD. 64
OE 75
The correct answer would be D. 64
The 40 percentage of 160 is 64, the correct option is D.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Total value= 160
Percentage= 40%
Now,
To find 40% of 160,
=40%=0.4
We can multiply 0.4 by 160.
=0.4*160
=64
Therefore, by the given percentage the answer will be 64.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ7
i will give brainliest
Answer:
Below
Step-by-step explanation:
Population: 10,000
Sample: 250
2 tan x - Sin 2x ÷ 2 Sin^2 x = tan x
Looks like the claim is
(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
as well as the definition of tangent:
tan(x) = sin(x) / cos(x)
Then on the left side, we can cancel factors of 2 sin(x) to get
(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))
= (1/cos(x) - cos(x)) / sin(x)
Multiply this by cos(x)/cos(x) :
(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))
Recall that for all x,
sin²(x) + cos²(x) = 1
so that
(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))
= sin(x) / cos(x)
= tan(x)
as required.
A video game allows players to design their own character using the following options.
Video Game Character
What is the probability of designing a female character with long, red hair?
A. 1/24
B. 1/12
C. 1/9
D. 1/4
Answer:
1/24
Step-by-step explanation:
Probability of making female character = 1/2
Probability of having long hair = 1/3
Probablity of having red hair = 1/4
Multiply all these probabilities ( 1/2 x 1/3 x 1/4) = 1/24
The probability of making a female character with long red hair in this video game is 1 in 24.
I hope this helps.
Somebody please help me
Answer:
your answer will be a right
Step-by-step explanation:
HELP GIVING BRAINLIEST + STARS
Motion graphs! Oh yes, I remember those.
I will be using the example of a remote-control car.
For Section AB:
The car starts moving steadily in one direction.
For Section BC:
The car has stopped moving.
And finally, for section CD:
The car has turned around and returned to the starting point at a steady pace.
I hope this answers your question.
-Toremi
In the past year, Ann watched 14 movies that she thought were very good. She watched 50 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
28%
Step-by-step explanation:
Divide 14 by 50. 50 is the total and 14 is the amount she thought was good so it would be 14/50 and then divide it and you get .28 which is 28%
i need help with my homework
Answer:
B
Step-by-step explanation:
every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.
and Pythagoras is the best way to cancer the length of such a Hypotenuse.
AD² = 2² + 2² = 8
AD = sqrt(8)
AB = AD
BC² = 4² + 2² = 16 + 4 = 20
BC = sqrt(20)
CD = BC
so, the perimeter is
AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =
= 14.60112616... units ≈ 14.6 units
The function below describes the total cost, y, of a hamburger with a toppings on it.
y= 1.90 + 1.40x
What does the slope mean in terms of the context?
O The cost of the hamburger will decrease by $1.90 per topping.
O The cost of the hamburger will increase by $1.90 per topping.
O The cost of the hamburger will increase by $1.40 per topping.
O The cost of the hamburger will decrease by $1.40 per topping.
Answer:
O The cost of the hamburger will increase by $1.40 per topping.
Step-by-step explanation:
y = 1.90 + 1.40x→ $1.90 is the fixed cost of the hamburger→ $1.40 is the price per topping and it will increase as the slope of the function/graph is positive⇒ Option 3Answer:
The cost of the hamburger will increase by $1.40 per topping
Step-by-step explanation:
Given equation:
y = 1.90 + 1.40x
where
y = total cost of hamburgerx = number of toppingsThe slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).
Rearranging the given equation to this form: y = 1.40x + 1.90
Therefore, 1.40 is the slope and 1.90 is the y-intercept.
The slope is the rate of change. This is the amount by which y will change with respect to changes in x. The slope is positive, so as x increases, y will increase.
Therefore, the cost of the hamburger will increase by $1.40 per topping.
.
Ben deposits $1,750 into each of two savings accounts.
Account I earns 2.75% annual simple interest
Account II earns 2.75% interest compounded annually
Ben does not make any additional deposits or withdrawals. Which amount is closest to the difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years?
The difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years is $1.32.
What is the differnce in the interest?Simple interest is when only the amount deposited increases in value.
Simple interest = deposit x interest rate x time
1750 x 0.0275 x 2 = $96.25
Interest earned with compounding = future value - amount deposited.
The formula for calculating future value:
FV = P (1 + r) nm
FV = Future value P = Present value R = interest rate N = number of years1750 x (1/0275)^2 = $1847.57
$1847.57 - $1750 = $97.57
Difference in interest; $97.57 - $96.25 = $1.32
To learn more about future value, please check: https://brainly.com/question/18760477
Which of the following algebraic expression represents 2 less than 3 lots of n? (A) - (B) (C) 3(n - 2) 2 – 3n 3 + n - 2 3n - 2 (D)
Answer:
D
2 less than means 2 to be subtracted3lots of n means 3 to be multiplied with n i.e 3nHence the expression is 3n-2
determine the elements of the relation A × A if -
A = { 1 , 2 , 3 }
thankyou ~
If X and Y are two sets, then X × Y is the Cartesian product of X and Y, which is the set of all pairs (x, y) such that x ∈ X and y ∈ Y.
This means
A × A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}
HELP ASAP will get brainly user !!!
Answer:
46
Step-by-step explanation:
p=6,q=12.
Put the numbers where the letters are.
7x6+12/3
46
Hope this helps!
Answer:
[tex]beinggreat78~here~to~help~you~learn![/tex]
When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.
[tex]7p=7 * number(In~this~case,~6)[/tex]
[tex]7 * 6 = 42[/tex]
The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.
[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]
Lastly, add the quotient and the product together.
[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]
And we are done! The result is 46, so that means your answer is D! Yay!
What have we learned while doing this problem?
We have learned how to multiply and divide in order of operations while dealing with substitution.fill in the missing values of the following number patterns
a) 24;12;0;__ ; __
b) -36; -25; -16; __; __
Answer:
A) 24;12;0;-12;-24 because the numbers are gradually going down and they go into the negatives which means they repeat the numbers in the beginning.
B)-36;-25;-16;-9;-4 i am uncertian on this one but i think im doing it right.
Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara?
7
Perez Company is considering an investment of $29,480 that provides net cash flows of $8,900 annually for four years.
(a) What is the internal rate of return of this investment? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from
the tables provided. Round your present value factor to 4 decimals.)
(b) The hurdle rate is 7%. Should the company invest in this project on the basis of internal rate of return?
Complete this question by entering your answers in the tabs below.
Book
Required A
Required B
Hint
What is the internal rate of return of this investment?
Present value factor
Internal rate of return
%
Esk
< Retired A
Required B
Print
erences
The internal rate of return of this investment is 8%.
If the hurdle rate is 7%, the investment should be invested in.
What is internal rate of return?Internal rate of return is a capital budgeting method that determines the the discount rate that equates the after-tax cash flows from an investment to the amount invested
If the internal rate of return is greater than the hurdle rate, the investment should be undertaken. If this is not the case, the investment should not be invested in.
IRR can be calculated with a financial calculator
Cash flow in year 0 = $-29,480
Cash flow each year from year 1 to 4 = 8900
IRR = 8%
To learn more about IRR, please check: https://brainly.com/question/26484024
How did the structure of the Han dynasty reflect Confucianism? Increasing rebellions represented the emphasis on warfare. Crowning a new emperor reflected the importance of loyalty. The multiple levels of bureaucracy reflected the belief in social order. The need for new leaders highlighted the importance of self-promotion.
Answer:
the multiple levels of bureaucracy reflected the belief in social order
Step-by-step explanation:
In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from
the lot, the probability that the selected car would be a green car is 1/6, and the probability that it would
be a red car is 1/8. What is the probability that it would be a white car?
Answer:
17/24 chance for white car
Step-by-step explanation:
We know that there is a 1/6 chance that it will be green and 1/8 that it will be red so whatever's left has to be white. We can just add the fractions that we have and subtract them from one to get the probability of getting a white car.
1/6+1/8=?
Find the lowest common denominator (24)
4/24+3/24=7/24
Subtract it from 1
24/24-7/24=17/24
17/24 chance that it's white
11. Reduce 48/72 to its lowest terms.
A. 6/9
B.2/3
c. 24/36
D. 30/54
Answer:
its A my friend because: 48/2=24. 72/2=36
24/2=12. 36/2=18
12/2=6. 18/2=9
Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. What percentage of basketball games will result in Matthew scoring less than 27 points?
Note: Assume that a Normal model is appropriate for the distribution of points.
Matthew will score less than 27 points in about 0.15% of his basketball games.
=======================================================
Explanation:
mu = 33 = population mean
sigma = 2 = population standard deviation
Let's find the z score when x = 27
z = (x - mu)/sigma
z = (27-33)/2
z = -6/2
z = -3
A score of 27 points is exactly three standard deviation units below the mean of 33 points.
Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.
That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.
One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.
To get a more accurate answer, you can use a Z table to find that
[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]
which isn't too far off from the 0.15%
Answer:
I believe is the correct answer
Step-by-step explanation:
a
write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Answer:
[tex]y=\frac{1}{4}x-5[/tex]
Step-by-step explanation:
Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Slope-intercept form: y = mx + b
m = slope
b = y-intercept (when x = 0)
Ex:
y = 5x + 2
m = 5b = (0, 2)For our problem:
[tex]y=\frac{1}{4}x-5[/tex]
m = [tex]\frac{1}{4}[/tex]b = (0, -5)Hope this helps!
Question 5
Select the option that best describes the relationship
between the variables on the scatter plot.
Answer:
positive, leaner association
Step-by-step explanation:
