Answer:
a) 332640 ways
b) 462 ways
Step-by-step explanation:
Order:
If the order of the choices matters, we use the permutations formula. If they do not matter, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
6 objects, from a set of 11.
a) Order matters, so permutation.
[tex]P_{(11,6)} = \frac{11!}{(11-6)!} = 332640[/tex]
b) Order does not matter, so combinations.
[tex]C_{11,6} = \frac{11!}{6!(11-6)!} = 462[/tex]
50 POINTS
Amber has 12n + 50 pieces of candy, her brother has 8n - 26 pieces. How many more pieces of candy does Amber have than her brother?
Answer:
i think is 64
Step-by-step explanation:
find the perimeter a book had length of 9 inches and a width of 9 inches. what is the perimeter of the book ?
Answer:
36 inches
Step-by-step explanation:
You find perimeter by adding all the sides together. It seems to be a square book as the length and width are the same. So 9+9+9+9 or 9x4=36 inches.
A bicycle club logged 9,860 miles. If the
29 members of the club each rode the
same number of miles, how many miles
did each member ride?
Answer:
[tex]340[/tex] miles,
Step-by-step explanation:
To find out how many miles each person rode, divide the total number by how many people there were.
[tex]9860 / 29 = 340[/tex]
Each person rode [tex]340[/tex] miles.
Question 2) A 7-pack of scented candles costs $6.51. What is the unit price?
$45.57
$0.93
$1.07
$0.49
Answer:
$0.93
Step-by-step explanation:
6.51 / 7 = 0.93
Suppose a classroom teacher wants to measure whether offering candy as a reward will increase the number of times that a student raises his/her hand to answer a question in class. A study yields the following data.Row C1 C21 9 122 7 83 15 144 10 115 8 7If column 1 is the number of times that a student raised their hand to answer a question before the candy reward was implemented, and column 2 is the number of times that the same students raised their hands to answer questions after the candy reward was implemented, which of the following is the appropriate inference method to analyze these data?A) Inference for regressionB) Two independent samples C) Matched pairs
Answer:
C) Matched pairs
Step-by-step explanation:
Matched samples (also called matched pairs, paired samples or dependent samples) is a type of sampling that involves pairing participants that share every characteristic except for the one under study. The paired participants could be same individuals studied at different time such as:
The study of same participants before and after an interference. The study of the same participants at two different interference.What’s the correct answer for this?
Answer:
its 7.5
Step-by-step explanation: subscribe when i have channel set
Answer:
D. = 8.1
Step-by-step explanation:
In the attached file
What are two ratios equivalent to 5/12?
Answer:
10/24 15/36
Step-by-step explanation:
you can just multiply each one by the same number
Answer:
5:12, 10:24
Step-by-step explanation:
You can convert fractions into ratios with x/y ⇒x:y
5/12 = 5:12
5/12 x 2 = 10/24
10/24 = 10:24
someone reported my answer -_-
Determine the number of real solutions for each system of equations.
Answer:
1+1=2
Step-by-step explanation:
The Hyperbolic Sine (sinh(x)) and Hyperbolic Cosine (cosh(x)) functions are defined as such: sin h(x) = e^x - e^-x/2 cosh(x) = e^x + e^-x/2 Compute the y-Intercept of both functions Then Determine the end behavior of these two functions by analyzing the limit as x goes to positive infinity and as x goes to negative infinity
Answer:
y-incercepts:
sinh(x):0, cosh(x)=1
Limits:
positive infinity: sinh(x): infinity, cosh(x): infinity
negative infinity: sinh(x): - infinity, cosh(x): infinity
Step-by-step explanation:
We are given that
[tex]\sinh(x)=\frac{e^{x}-e^{-x}}{2}[/tex]
[tex]\cosh(x)=\frac{e^{x}+e^{-x}}{2}[/tex]
To find out the y-incerpt of a function, we just need to replace x by 0. Recall that [tex]e^{0}=1[/tex]. Then,
[tex]\sinh(0) = \frac{1-1}{2}=0[/tex]
[tex]\cosh(0) = \frac{1+1}{2}=1 [/tex]
For the end behavior, recall the following:
[tex]\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0[/tex]
[tex]\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty[/tex]
Using the properties of limits, we have that
[tex]\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty[/tex]
[tex]\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty[/tex]
[tex]\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty[/tex]
[tex]\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty[/tex]
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
In the attached file
An online store furniture sells chairs for $200 each and tables for $500 each.
Answer: what is the question?
Step-by-step explanation:
What is The true solution to In 20 +in 5=2in x?
Answer:
x = 10
Step-by-step explanation:
Combining the logarithms, you have ...
ln(20·5) = ln(x²)
100 = x² . . . . . take the antilogs
10 = x . . . . . . . take the positive square root
_____
Alternate solution
ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20
2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)
ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2
ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left
10 = x
_____
These solutions make use of the rules of logarithms ...
ln(ab) = ln(a) +ln(b)
ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b
Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of synimetry is x = 5.
The y-intercept of the function is (0,5).
ОО
The function crosses the x-axis twice.
Answer:
The answer is A, D, and E on Edge
Step-by-step explanation:
idek man but i got it right so
Answer: Option A, D, E
(A) The function in vertex form is f(x) = (x – 4)2 – 11.
(D) The y-intercept of the function is (0, 5).
(E) The function crosses the x-axis twice.
Step-by-step explanation:
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.
Determinaţi lungimea diagonalei unui pătrat cu latura de 6 cm
Answer: 8.49cm
Step-by-step explanation:
Given Data:
Let a be no of side = 6
Therefore
d = √2 * a
d = √2 * 6
d = 1.4142 * 6
d = 8.49cm
The diagonal is 8.49cm
Answer:
The length of the diagonal of a square of length 6 cm is 6√2 cm = 8.485 cm
Step-by-step explanation:
English Translation
Determine the length of the diagonal of a square with a side of 6 cm.
Solution
Let the length of the diagonal be d.
And the length of each side of the square be s.
Note that s = 6 cm
The two sides of the square and the diagonal form a right angled triangle with the diagonal serving as the hypotenuse.
Using Pythagoras theorem, the square of the hypotenuse is equal to the sum of the individual squares of the two other sides of the right angled triangle.
d² = s² + s²
d² = 2s²
d = √(2s²)
d = s √2
note that s = 6 cm
d = 6 × √2 = 6√2 cm = 8.485 cm
Hope this Helps!!!
100 POINTS PLEASE HELP IM BEGGING U I NEED TO PASS (summer school)
Answer:
choice 3 3√7
Step-by-step explanation:
Answer:
3√7.... that the answer
Pump A can fill a tank in 8 hours. Pump B can fill the tank in 6 hours. How long will it
take to fill the tank using both pumps? Round answers to the nearest tenth if
necessary.
Answer: 1.3 hours
Step-by-step explanation: I believe it’s 1.3 hours since Pump A can fill a tank in 8 hours, and Pump B can fill a tank in 6 hours, then you divide 8 and 6 which is about 1.333.
Answer:
3.43 hours
Step-by-step explanation:
For every hour, Pump A can fill 1/8 tank and pump B can fill 1/6 tank.
For every hour, both pump A and pump B can fill:
1/8 + 1/6 = 14/48 = 7/24 (tank)
It will take: 1 : 7/24 = 24/7 ≈ 3.43 (hours)
Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?
a
(x2 ‒ 7)(x ‒ 11)
b
(x2 ‒ 7)(x + 11)
c
(x2 ‒ 11)(x + 7)
d
(x2 ‒ 11)(x ‒ 7)
Answer:
A. [tex](x^{2}-7)\cdot (x-11)[/tex]
Step-by-step explanation:
The third order polynomial is factored herein:
[tex]x^{2}\cdot (x-11) - 7\cdot (x-11)[/tex]
[tex](x^{2}-7)\cdot (x-11)[/tex]
Which represents answer A.
Marc and Michelle are married and earned salaries this year of $64,000 and $12,000, respectively. In addition to their salaries, they received interest of $350 from municipal bonds and $500 from corporate bonds. Marc contributed $2,500 to an individual retirement account, and Marc paid alimony to a prior spouse in the amount of $1,500. Marc and Michelle have a 10-year-old son, Matthew, who lived with them throughout the entire year. Thus, Marc and Michelle are allowed to claim a $2,000 child tax credit for Matthew. Marc and Michelle paid $6,000 of expenditures that qualify as itemized deductions and they had a total of $3,500 in federal income taxes withheld from their paychecks during the course of the year. What is Marc and Michelle's adjusted gross income?
Answer:
The total amount of deductions Marc and Michelle are going to get is $24750.
The taxable income of Marc and Michelle is $47750.
Further Explanation:
Income Tax: It is the additional charge on an individual’s income which he/she needs to pay to the government. The taxable income is calculated by adding all the incomes and deducting all the deductions which an individual can claim on his/her income.
Compute the total amount of deductions available for Marc and Michelle:
Total Deduction Available
= Higher of Standard Deduction for MJF and Itemized Deduction + Personal and Dependency Exemptions
= Higher of $12600 and $6000 + $12150 ($4050×3)
= $12600 + $12150
=$24750.
Therefore, the total deductions available to Marc and Michelle are $24750.
Gross Income of Marc and Michelle
= Salary of Marc + Salary of Michelle + Interest Earned on Corporate Bonds
= $64000 + $12000 + 500
= $76500.
Total Taxable Income of Marc and Michelle
= Gross Income – Qualified Moving Expenses – Alimony Paid – Total Deductions
= $76500 - $2500 - $1500 - $$24750
= $47750.
Therefore, the total taxable income of Marc and Michelle is $47750.
Learn More:
1. Learn more about the tax on the profit from selling the fixed assets
brainly.com/question/2617534
2. Learn more about the personal tax
brainly.com/question/1762937
3. Learn more about the role of money
brainly.com/question/12984919
Answer details:
Grade: Senior School
Subject: Taxation
Chapter: Income Tax
Keywords: Taxable income, Marc and Michelle, Deductions, salary income, earned, corporate bond interest, interest on municipal bond, standard deductions, US tax brackets.
happy to help ya :)
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
The answer is 3.
Step-by-step explanation:
In oder to find the value of x you have to let f(x) = 29 :
[tex]f(x) = 9x + 2[/tex]
Let f(x) = 29
[tex]9x + 2 = 29[/tex]
Next, you have to solve x by substracting 2 and divide 9 to both sides :
[tex]9x + 2 = 29[/tex]
[tex]9x + 2 - 2 = 29 - 2[/tex]
[tex]9x = 27[/tex]
[tex]9x \div 9 = 27 \div 9[/tex]
[tex]x = 3[/tex]
Answer:
Answer shown below.
Step-by-step explanation:
For 29;
It means f(x)= 9x + 2 =29
Therefore; 9x =29-2=27
9x = 27
X=27/9
x=3
Someone please help me
Answer:
3/19
Step-by-step explanation:
Answer:
im havijn trouble 2Step-by-step explanation:
idkmsorry
Help? Question is above. 12 points
Answer:
Step-by-step explanation:
Q5) 4/9 is 0.4 recurring not just “0.4”
Q6) 6 and 7
Q7) 5.385
Which of the following are considered income?
Select all that apply.
student loan interest
wages
credit card interest
allowance
Answer:
Wages
Step-by-step explanation:
Answer:
2. Wages
4. Allowance
Step-by-step explanation:
very simple question I wish I saw this earlier so I could help. Can I please get brainliest.
尺蛾翅蛾。(thank you.)
what the square root of 280
Answer:
2√70
Step-by-step explanation:
√280
Simplify:
Take out 4
2√70
Answer:
16.7332005307
Step-by-step explanation:
Rewrite 280 as 2 ^(2) ⋅ 70 .
Factor 4 out of 280 .
√ 4 ( 70 )
Rewrite 4 as 2^(2) .
√ 2 ^(2 )⋅ 70
Pull terms out from under the radical.
2√ 70
The result can be shown in multiple forms.
Exact Form:
2 √ 70
Decimal Form:
16.73320053....
The power goes out as Sandra is trying to get dressed. If she has 1 white T-shirts and 19 colored T-shirts in her drawer, is it likely that she will pick a colored T-shirt in the dark? What is the probability of Sandra picking a colored T-shirt? Complete the explanation to explain your answers. Enter the probability as a simplified fraction.
Answer:
yes it is likely. the chances of her getting a colored shirt is 95% or 19/20
Identify whether each of the following statements is more appropriate as a null hypothesis or an alternative hypothesis. Hypothesis: The number of hours that grade-school children spend doing homework predicts their future success on standardized tests. Hypothesis: King cheetahs on average run the same speed as standard spotted cheetahs. Hypothesis: The mean length of African elephant tusks has changed over the last 100 years. Hypothesis: The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not. Hypothesis: Caffeine intake during pregnancy affects mean birth weight.
Answer:
(1) Alternate Hypothesis.
(2) Null Hypothesis.
(3) Alternate Hypothesis.
(4) Null Hypothesis.
(5) Alternate Hypothesis.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
(1)
The hypothesis statement is:
"The number of hours that grade-school children spend doing homework predicts their future success on standardized tests."
According to the hypothesis statement, we known that the test to be performed is for the relationship between the number of hours that grade-school children spend doing homework and their future success on standardized tests.
So, the null hypothesis here will be that there is no relation between the two variables, or the number of hours that grade-school children spend doing homework does not predicts their future success on standardized tests.
Thus, the provided statement is a Alternate hypothesis.
(2)
The hypothesis statement is:
"King cheetahs on average run the same speed as standard spotted cheetahs."
According to the hypothesis statement, we known that the test to be performed is for the difference between the mean running speed of king cheetahs and spotted cheetahs.
The statement provided is a statement of no difference, i.e. there is no difference between the mean running speed of king cheetahs and spotted cheetahs.
Thus, the provided statement is a Null hypothesis.
(3)
The hypothesis statement is:
"The mean length of African elephant tusks has changed over the last 100 years."
According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.
The null hypothesis here would be there is no change in the mean length of African elephant tusks over the last 100 years.
Thus, the provided statement is a Alternate hypothesis.
(4)
The hypothesis statement is:
"The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not."
According to the hypothesis statement, we known that the test to be performed is for the difference between the proportion of risk of facial clefts for babies born to mothers who take folic acid supplements and with those born to mothers who do not.
The null hypothesis here would be that there is no difference between the two risk proportions.
Thus, the provided statement is a Null hypothesis.
(5)
The hypothesis statement is:
"Caffeine intake during pregnancy affects mean birth weight."
According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.
The null hypothesis of this test will be that the mean birth weight is not affected by the caffeine intake during pregnancy.
Thus, the provided statement is a Alternate hypothesis.
The rental of the ice is $75, plus $3 per skater. Write an expression for the cost in dollars for n skaters.
What is the approximate height of the cylinder ? Use 3.14 for pi and if necessary round to the nearest tenth. V= 3.14 ft 3.
Answer:
So the value of h and r are both 1 inch
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of the cylinder = 3.14 ft³
And π = 3.14
Dividingthrough by π
r²h = ft³
So the possible out come of r and h is only one because r² must be equal to one and the product of the two must be equal to one.
So the value of h and r are both 1 inch
Answer:3 ft
Step-by-step explanation:
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8. Which expression finds the equation of the line? StartFraction y Over x EndFraction = one-fourth StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction
Answer:
[tex]\dfrac{y}{x}=\dfrac{1}{4}[/tex]
Step-by-step explanation:
When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).
y/x = rise/run = 1/4
The equation of the line is ...
y/x = 1/4
Answer:
Th answer is C
Step-by-step explanation:
−2z+10+7z=16z+7
How many solutions does the following equation have?
-2z+10+7z = 16z+7
Simplify the left side:
5z+10 = 16z +7
Subtract 5z from both sides:
10 = 11z + 7
Subtract 7 from both sides:
3 = 11z
Divide both sides by 11
Z = 3/11
There is only one solution, which is z= 3/11
Steps to solve:
−2z + 10 + 7z = 16z + 7
~Combine like terms
(-2z + 7z) + 10 = 16z + 7
~Simplify
5z + 10 = 16z + 7
~Subtract 16z to both sides
5z - 16z + 10 = 16z - 16z + 7
~Simplify
-11z + 10 = 7
~Subtract 10 to both sides
-11z + 10 - 10 = 7 - 10
~Simplify
-11z = -3
~Divide -11 to both sides
-11z/-11 = -3/-11
~Simplify
z = 3/11
Best of Luck!
the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. how high is the stack of the two books.
table
novel: 3/4
dictionary:4 1/2
A. between 4 1/2 and 5 inches
B between 5 1/2 and 6 inches
C. between 5 and 5 1/2 inches
FIRST TO ANSWER wILL BE MARKED BRAINLEST AND WILL GET 5 STARS
Answer:between 5 and 5 1/2 inches
Step-by-step explanation: