Answer: 220
Step-by-step explanation:
When we wanto to create a group of K elements for a set of N elements (where the order of the K elements does not matter, so we do not considerate the permutations of the K elements), the number of possible combinations is:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 12 and K = 3
[tex]C = \frac{12!}{9!*3!} = \frac{12*11*10}{3*2} = 220[/tex]
So there are 220 possible combinations
Answer:
220
Step-by-step explanation:
KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?
An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10 % 10%10, percent. They abducted a random sample of 400 400400 humans, performed special psychological tests, and found that 14 % 14%14, percent of the sample are rebellious. Let's test the hypothesis that the actual percentage of rebellious humans is 10 % 10%10, percent versus the alternative that the actual percentage is higher than that. The table below sums up the results of 1000 10001000 simulations, each simulating a sample of 400 400400 humans, assuming there are 10 % 10%10, percent rebellious humans. According to the simulations, what is the probability of getting a sample with 14 % 14%14, percent rebellious humans or more?'
Answer:
Probability of getting a sample with 14% rebellious humans or more is 0.0104.
Step-by-step explanation:
We are given that an alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10%.
They abducted a random sample of 400 humans, performed special psychological tests, and found that 14% of the sample are rebellious.
Let p = population proportion rebellious humans
The z score probability distribution for sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat[/tex][tex]\hat p[/tex] = sample proportion rebellious humans = 14%
n = sample of humans = 400
p = population proportion rebellious humans = 10%
Now, probability of getting a sample with 14% rebellious humans or more is given by = P( [tex]\hat p[/tex] [tex]\geq[/tex] 14%)
P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.14) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.14-0.10}{\sqrt{\frac{0.14(1-0.14)}{400} } }[/tex] ) = P(Z [tex]\geq[/tex] 2.31)
= 1 - P(Z < 2.31) = 1 - 0.9896 = 0.0104
The above probability is calculated by looking at the value of x = 2.31 in the z table which has an area of 0.9896.
Hence, the required probability is 0.0104.
Answer:
It's 0.7% (make sure to include the % sign)
Step-by-step explanation:
Khan Academy
Lia has a dog and a cat the pets weigh 16 pounds The dog weighs 3 times as much as the cat
Answer:
The weight of the dog is 12 pounds and the weight of the cat is 4 pounds.
Step-by-step explanation:
Let d represent the weight of the dog. Let c represent the weight of the cat.
Let's make a system of equations.
d+c=16
d=3c
We can use subsitution.
3c+c=16
4c=16
c=4
We can subsitute back into one of the two equations to find the weight of the dog.
d=3c
d=3(4)
d=12
The weight of the dog is 12 pounds and the weight of the cat is 4 pounds.
PLEASE HEL0LP ME MY TEACHER IS NOT GOING TO BE HAPPY - MATHS !!!!
Answer:
No
Step-by-step explanation:
Since shape a has 32 squares
And shape b has 42
So b is bigger
9/4 - 4/3 plz help me
Answer:
11/12
Step-by-step explanation:
Find the common denominator.
4 and 3 both go into 12.
4 goes into twelve three times so multiply the denom and the num.
9/4 = 27/12
3 goes into twelve four times.
4/3 = 16/12
Subtract.
27/12-16/12
= 11/12
Answer: 11/12
Step-by-step explanation:
multiply 3 and 4 to get a common denominator.
multiply 3 by 9 and 4 by 4
this gets u 27/12 and 16/12
subtract.
11/12
I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?
Answer:
Should be the bottom one
Step-by-step explanation:
You can find this by counting. It is the only one with 12 units.
Answer:
Step-by-step explanation:is number 4 i pick it and its correct
6th grade math! Help me please :))
Subtract 48-19=29 Correct me if I'm wrong.
That means it's 29 cups.
Answer:
29 cups
Step-by-step explanation:
step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.
step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.
step 3: 48-19 = 29. she has 29 cups left..
i hope this helps!
does anyone know what is z to the power of 0 and w tot he power of -9? please help me put
Answer:
anything to the power of 0 is 1 but I can't see what the value of w is to answer the next value
Step-by-step explanation:
how do i solve this?
Answer:
Step-by-step explanation:
7/8-1/4 in simplest form
Answer:
I am pretty sure that it is 5/8
Step-by-step explanation:
Answer: 5/8
Step-by-step explanation: 1/4 turns into 2/8 and then subtract 2/8 from 7/8 and you get 5/8
There are 14 math teachers and 26 science teachers at
school today. What is the ratio of math teachers to math
and science teachers at school?
Answer: 2.86
Step-by-step explanation:
14+26=40
40/14
Answer:
2.86
Step-by-step explanation:
Can you work out this math puzzle?
The value of the puzzle is 17
The value of the triangle :
30/3 = 10Value of Circle :
10/2 = 5Value of whole yellow square :
8/2 = 4Value of half-yellow square :
4/2 = 2Using the above information:
Triangle + Circle + half-square
10 + 5 + 2 = 17
Therefore, the solution to the puzzle is 17
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Sara Bought a computer that was originally priced at $896.The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer. Round to the nearest cent!
Answer:
$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.
Step-by-step explanation:
Brainliest for anyone if they get this CORRECT.
hello
it is c
hehehehe hope it helps
Answer:
The option c. (x-6)(x-1)
Step-by-step explanation:
x^2 - 7x +6
S=-7
P=6
x^2-1x-6x+6
x(x-1)-6(x-1)
(x-6)(x-1)
Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
30 points!
The soccer team knows that if they score at least 8 goals, they will win the game. Which of the following inequalities shows the number of goals the team needs to win.
g ≥ 8 goals
g < 8 goals
g > 8 goals
g ≤ 8 goals
Answer:
g≥8
Step-by-step explanation:
They need at least 8 goals
g≥8
Answer:
g ≥ 8 goals
Step-by-step explanation:
Atleast 8 means greater than or equal to 8
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!
Answer:
P represents the population in year 0
Step-by-step explanation:
The exponential growth function is f(x) = a (1 + r)^t, where a is the initial
amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth
in decimal ant is the time of growth
the function C(t) = P(1 + r)^t represents the population of
centerville at year t, where P is the initial population and r is the
rate of increase
If your investment is increased 10% annually, then that means
each year, your total has multiplied itself by 110% (the growth factor
is 1 + 10/100 = 1.1)
(1 + r) is the factor grows each year
C(t) = P(1 + r)^t
C depends on P(starting population) , r(the increasing rate and
t(the time in year)
r is the rate of increase means the percentage of increasing , then
0 < r < 1
r is not less than 0
P is the initial amount when t = 0
P represents the population in year 0
Answer:
P represents the population in year 0
Step-by-step explanation:
Thirty percent of students in a calculus class and twenty percent of students in a statistics course receive A’s. Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course. What is the probability that a student who receives an A in statistics will also receive an A in calculus?
Answer:
90% probability that a student who receives an A in statistics will also receive an A in calculus
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: A in statistics.
Event B: A is calculus
Twenty percent of students in a statistics course receive A’s.
This means that [tex]P(A) = 0.2[/tex]
Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.
Thirty percent of students in a calculus class receive an A.
This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]
What is the probability that a student who receives an A in statistics will also receive an A in calculus?
[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]
90% probability that a student who receives an A in statistics will also receive an A in calculus
Parallel lines s and t are cut by a transversal, r.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.
If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°
Answer:
68°
Step-by-step explanation:
Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal
Answer:
B.
Step-by-step explanation:
Ebony waited more than 56 minutes in the doctor’s office. Which set of steps shows how to write an inequality that represents the number of minutes that Ebony waited?
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x greater-than 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as negative 56 minutes. Write the inequality as x minus 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as Negative 56 minutes. Write the inequality as x greater-than negative 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x = 56.
Answer:
A.
Step-by-step explanation:
Given that Ebony waited for more than 56 minutes, option A summarizes the steps to write the inequality.
First, the term "more than" means greater than which is represented by the inequality symbol, >.
So, let's assume that the inequality variable is x and given that the minute she waited for is more than 56.
Writing this together will give
x > 56.
Hence, from the list of given options, only option A gives the actual representation of the statement; while others are not
Answer:
The answer is A
Step-by-step explanation:
I took the test in edge and got it right! Hope this helps!
here you go another one lol
Answer:
40
Step-by-step explanation:
50+40=90
Answer:
2
Step-by-step explanation:
50+40=90
90=complementary angles total
By which rule are these triangles congruent?
Answer:
Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Answer:Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
donovan bought 5.5 kilograms of flour for $8.25. how much does 1 kilogram of flour cost?
Answer:
$1.50
Step-by-step explanation:
Answer:$1.5
Step-by-step explanation:
5.5kg cost $8.25
1kg cost __
1kg cost 8.25/5.5
1kg cost $1.5
What is a Regression equation
Answer:
Regression equations can help you figure out if your data can be fit to an equation.This is extremely useful if you want to make predictions from your data- either future predictions or indications of past behavior.For example,you might want to know what your savings are going to be worth in the future.There are several types of regression equations,some of the more common include exponential and simoke linear regression.In elementary statistics,the regression equation you are most likely to come across is the linear form.
If II m,what is the value of x
Answer:
110
Step-by-step explanation:
Answer:
137
Step-by-step explanation:
i did this on i-ready :>
SOLVE 3/4 +(1/3/1/6) -(1/2)
Answer:9/4
Step-by-step explanation:
3/4 + (1/3/1/6) - (1/2)
3/4 + (1/3 ➗ 1/6) - 1/2
3/4 + (1/3 x 6/1) - 1/2
3/4 + ((1x6)/(3x1)) - 1/2
3/4 + (6/3) - 1/2
3/4 + 2 - 1/2
(3+8-2)/4
9/4
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 15 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of wind speed recordings (taken at random intervals), the wind speed at the site averaged with a standard deviation of To determine whether the site meets the organization's requirements, consider the test, where μ is the true mean wind speed at the site and Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site _____ 15 mph when it actually _____ 15 mph."
Answer:
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
Step-by-step explanation:
A Type I error happens when a true null hypothesis is rejected.
In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.
Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
1. Which number does NOT represent a whole number?
A 25
B 13
С
150
3
D 3.5
Answer:
D 3.5
Step-by-step explanation:
A number with a decimal can NOT represent a whole number.
Bo is buying a board game that usually costs BBB dollars. The game is on sale, and the price has been reduced by 18\%18%18, percent.
Which of the following expressions could represent how much Bo pays for the game?
Answer:
.82B
Step-by-step explanation:
I'm hoping you're asking to reduce the price by 18% once, because I'm not sure if that's your question, but it would be .82B. Which is 82% of the original price.
The correct expressions which represent the amount Bo pays for the game is,
⇒ 0.82B
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Bo is buying a board game that usually costs B dollars.
And, The price has been reduced by 18%.
So, The reduced amount of the game is,
⇒ Reduced amount = 18% of B
= 18B/100
= 0.18B
Thus, The amount of the game Bo pays = B - 0.18B
= 0.82B
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Two datasets arranged in descending order are; {8,x , 4,1} and {9,y , 5,2}. If the medians of the two given datasets are equal, what is the value of ( y-x)^2?
Answer:
1Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1
