Answer:
one tenth of a galon
Step-by-step explanation:
I think this is the answer hope this helps (:
A club has 30 members is formed from 12 democrats and 18 republicans. How many different committees consisting of 8 democrats
and 8 republicans are possible to be formed?
Given:
Total number of members = 30
Number of democrats = 12
Number of republicans = 18
To find:
Number of different committees consisting of 8 democrats and 8 republicans are possible to be formed.
Solution:
Total number of ways to selecting 8 democrats from 12 democrats is
[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]
[tex]^{12}C_8=495[/tex]
Total number of ways to selecting 8 republicans from 18 republicans is
[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{18}C_8=43758[/tex]
Now, number of different committees consisting of 8 democrats and 8 republicans are possible to be formed is
[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]
[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]
Therefore, the total possible ways are 21660210.
Which expression is a prime polynomial
What are the expressions?
Sharon buys a 60" tv for $1,450 plus the sales tax rate, which is 8.25%. what is the total cost of what she paid after taxes. round to two decimal place
Answer:
1,569.625
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total cost of the 60" TV is $1,569.63.
What is 4 1/4 ÷ 4 1/2
Answer:
Your answer is going to be 17/18.
Step-by-step explanation:
You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.
(17/4)(2/9)
34/36
17/18
CHECK PHOTO Intercepts of the graph BE SURE TO BE CORRECT PLEASE no work needed
Answer:
y= (0, .7)
x= (-1.2, 0)
Step-by-step explanation:
r u taking a test?
HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.
Answer:
No, because an expression is already solved and an equation is where you have to solve it
Step-by-step explanation:
Answer:
No as said you have to solve and equation yet an expression is already solved for your viewing.
Step-by-step explanation:
3/4x-4=5/6
Rewrite so it doesn’t have any fraction
What is the probability that you will get heads no more than once out of 3 flips? P(0 successes) + P(1 success)=
Answer:
The answer is .5
Step-by-step explanation:
Answer:
The correct answer is 0.5
Step-by-step explanation:
You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2
This is correct on edge.
Robin Hartman earns $600 per week plus 3% of sales over $6,500. Robin's week sales are $14,000. How much does Robin earn
Answer:
$825
Step-by-step explanation:
Given that :
Weekly earning = $600 plus 3% of sales over $6500
If weekly sales = $14000
How much will Robin earn
Robin's earning will be:
Flat weekly pay + 3% of amount over 6500
$600 + 3%(weekly sales - 6500)
$600 + 0.03(14000 - 6500)
$600 + 0.03(7500)
$600 + $225
= $825
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answer:
The percent is 75%
Step-by-step explanation:
Choose the equation that represents the line passing through the point -3 and -1 with a slope of 4
Answer:
y=4x+11
Step-by-step explanation:
y=mx+b.
-1=4(-3)+b
-1= -12+b
+12 +12
11=b
Answer:
y = 4x + 11
Step-by-step explanation:
five times the sum of a number and four
here is the Answer:
5(x+4)
Hope it helps
The constant of proportionality of this table is
Cups of
blue paint
cups of
yellow paint
2 10
1
Answer:
Step-by-step explanation:
1/2
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answer:
f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Step-by-step explanation:
From the question we are told that
The equation is [tex]f(x) = e^x - 3-2x [/tex]
The interval is [0, 1]
Generally f(0) is
[tex]f(0) = e^0 - 3-2(0) [/tex]
=> [tex]f(0) = 1 - 3-2(0) [/tex]
=> [tex]f(0) = -2[/tex]
Generally f(1) is
[tex]f(1) = e^1 - 3-2(1) [/tex]
[tex]f(1) = e^1 - 1 [/tex]
[tex]f(1) = 1.718 [/tex]
From the value we see that at x = 0 , f(0) = -2 which is below the x-axis
and the at x = 1 , f(1) = 1.718 which is above the x-axis
Now the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval such that
f(c) = 0
In multiple regression analysis, the word linear in the term "general linear model" refers to the fact that β0, β1, . . ., βp all have exponents of a. at least 1. b. less than 0. c. 0. d. 1.
Answer:
d. 1
Step-by-step explanation:
it is called linear because β0, β1, . . ., βp all have their exponents to be 1. A multiple linear regression is a type of regression which has more than one independent variable. it tells us the existing relationship between 2 or more of these independent variables on the dependent variable. for it to be regarded to be linear, it is very important that the exponents be equal to 1. else it could be quadratic.
A sphere has a diameter of 8cm. Which statements about the sphere are true? Check all that apply.
• the sphere has a radius of 4cm.
• the sphere has a radius of 16 cm.
• The diameter’s length is twice the length of the radius.
• The radius’s length is twice the length of the diameter.
• The volume of the sphere 2048/3 pi. cm. cubed
• the volume of the sphere is 256/3 pi. cm. cubed
Answer:
The sphere has a radius of 4 cm.The diameter’s length is twice the length of the radius.The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.Step-by-step explanation:
Answer:
1. The sphere has a radius of 4 cm.
3. The diameter length is twice the length of the radius.
6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.
An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?
Answer:
There are 7 ten-dollar bills and 16 five-dollar bills.
Step-by-step explanation:
Let's call:
T: Number of ten-dollar bills
F: Number of five-dollar bills
The amount of money withdrawn from the ATM is $150:
10T+5F=150
Dividing by 5:
[tex]2T+F=30\qquad\qquad [1][/tex]
We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:
[tex]F=2+2T\qquad\qquad [2][/tex]
Substituting [2] into [1]:
2T+2T+2=30
Rearranging:
2T+2T=30-2
Simplifying:
4T=28
Solving:
T=28/4=7
From [2]:
F=2+2*7=2+14=16
There are 7 ten-dollar bills and 16 five-dollar bills.
I need help ASAP please
Write the following equation in the general form Ax+ By+ C:
1/2y -1/3x -1 = 0
a.) -2x +3y -6 = 0
b.) 2x -3y -6 = 0
c.) 2x 3y +6 = 0
Determine whether y^2=−3x−2 is a function.
Answer:
y=3x-2 is a function because it passes the vertical line test.
Step-by-step explanation:
The given equation y² = - 3x - 2 represents a function.
What is a function?A function is the relation between two sets. The first one is called domain and the second one is called range.
Given, y² = - 3x - 2
For x = 0, y = √(- 3 × 0 - 2) = √(-2)
For x = 1, y = √(- 3 × 1 - 2) = √(-5)
For x = -1, y = √[- 3 × (- 1) - 2) = ± 1
For any value of 'x' in the domain, 'y' has at least a value in the range.
Hence, the given equation represents a function.
Learn more about a function here: brainly.com/question/3951330
#SPJ3
6m + 4n + 3m - 6
What are the terms? Separate them with a comma.
I don't understand this question can you help pls
Answer:
yes, it would change because the place value
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
What is the other solution to the equation?
A: x=-6
B: x=-4
C: x=2
D: x=4
Answer:
to what
Step-by-step explanation:
i can't see the question
The original price for a jacket is $124.95. It is on sale for 20% off. Which of the following gives the best estimate of the savings?
Answer:
24.99
Step-by-step explanation:
We first must figure out the current price of the jacket, we need to multiply the original price (124.95) times .80 (1.00 - .20). Doing so we get a total of 99.96. In order to find the savings, we subtract the original price by the new price. 124.95-99.96 = a savings of 24.99
Answer:
You would be saving 24.99 dollars
Step-by-step explanation:
Find 20% of 124.95 using P(percentage in decimal form) times X(original number) and you should have your answer.
Hope this helps!
Which point is on Analyn's graph
A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?
Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.
Answer:
Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!
The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.
The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.
This quiz was completed on k12, lesson 3.03.
The question is an illustration of equation of circles.
The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard becauseFrom the question, we understand that:
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung
[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard
[tex]\mathbf{B = 10ft}[/tex] --- the bull's eye
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart
Equation of the circle
First, we convert all units to feet
This is done by dividing inches units by 12
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]
Take LCM
[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]
[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]
[tex]\mathbf{d = 18\i n }[/tex]
[tex]\mathbf{d = \frac{18}{12}ft}[/tex]
[tex]\mathbf{d = \frac{3}{2}ft}[/tex]
Divide by 2 to calculate radius
[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]
[tex]\mathbf{r = \frac{3}{4}ft}[/tex]
The equation of the circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
In this case:
[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall
[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung
So, we have:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]
Evaluate the exponents
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Does Sasha’s dart land on the dartboard?
Yes her dart lands on the dartboard because
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard
Read more about equation of circles at:
https://brainly.com/question/23988015
Mai says that -8 > -4 . Do you agree with her? Explain or show your reasoning.
Answer:
No
Step-by-step explanation:
-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.
Piper and her children went into a movie theater and she bought $59.50
bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs
$4.25. She bought 8 more candies than bags of popcorn. Graphically solve a system
of equations in order to determine the number of bags of popcorn, x, and the number
of candies, y, that Piper bought.
6 candy boxes
Step-by-step explanation :
Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.
(2*8) + 1.50x = 25
16 + 1.50x = 25 ... subtract 16 from both sides
1.50x = 9 ... divide both sides by 1.50
x = 6
Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.
Answer:
This is the answer on Delta Math
Step-by-step explanation: