Answer:
since [tex]17+24=41[/tex]
a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]
b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]
c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]
d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]
Just calculate these. If there is anything wrong just let me know.
Rename 7/12 and 1/8 using the least common denominator Please help
Answer:
14/24 and 3/24
Step-by-step explanation:
The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by
3.
Name the image
Line
Line segment
Ray angle
Answer:
ray
Step-by-step explanation:
Jenna buys water from a store which allows you to bring your own containers of water and fill them up. The only catch is that you must honestly type into the store's computer how many gallons of water you took in total, written as a decimal, and then pay the amount the computer indicates.
Today, Jenna takes four containers with her. The first has a 3/4 gallon capacity, the second has a 1/8 gallon capacity, the third has a 4/5 gallon capacity, and the fourth has a 17/125 gallon capacity. She fills up all of the containers with water. What decimal should Jenna type into the computer?
Answer:
1.811
Step-by-step explanation:
To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.
[tex]\frac{3}{4}=.75[/tex]
[tex]\frac{1}{8} =.125[/tex]
[tex]\frac{4}{5}=.8[/tex]
[tex]\frac{17}{125}=.136[/tex]
Then just add all the decimals together.
Can someone help me please
Answer:
[tex]y = - \frac{2}{3} x + 7[/tex]
You get this equation when you plug in the values to find out the y intercept.
If a hotel has 126 rooms. 4 floors in all . Ok if 334 rooms have been cleaned how many are left to be cleaned
Answer:
170 rooms left to clean.
Step-by-step explanation:
If you are implying that there are 126 rooms for each floor of the 4 floors total.
Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.
This relationship can be given by:
#total rooms - #cleaned rooms = #rooms left to clean.
The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.
Now we have all the variables needed, and can solve for the missing one:
(126×4) - (334) = #rooms left to clean
504 - 334 = 170 = #rooms left to clean
A student claims that 83.8-5 is greater than 1.
Is this correct?
Answer:
No
Step-by-step explanation:
square root of 5, 0.6, 4/9, 0.7, square root of 2
Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter.how many hours can Joseph work more than Peter?
Given parameters:
Number of hours worked by Peter = 6.5hrs
His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;
Unknown:
Number of hours Joseph can work more than Peter = ?
This problem is pretty straight forward.
We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .
Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.
Which question is different?
I don't understand this question can you help me pls?
Answer:
the answer for the number of stickers in all 4 boxes is 1200.
Step-by-step explanation:
there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.
Sam earns $50.25 each week working a part time job. He works the same amount of
time each day for 5 weeks. What is the total amount of money Sam earns during the 5 week period?
Answer:
$251.25
Step-by-step explanation:
50.25*5= 251.25
The sum of three integers is 92. The second number is three times the first number. The third number is ten less than
twice the first number. Find the integers.
What is the solution for the equation?
-5/2 = 3/4 + n
Answer: N= -1/4
Step-by-step explanation:
2 can go into 5 2 times which give you 2 wholes and you have 1 left over
Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.
A boy gets 560 marks out of 700. What is the percentage of his marks?
Answer:
80%
Step-by-step explanation:
lets say he gets x%, which is x/100.
then the equation is: 560/700=x/100
and to solve it, first multiply each side by 700: 560=7x
then divide both sides by 7, and you get: x=80
so the answer is 80%
16+y/8=25. solve. and explain.
Answer:
184
Step-by-step explanation:
16+y/8 =25
16+y=25 X 8
16 + y =200
y=200-16
y = 184
Seed are often treated with fungicides to protect them in poor draining, wet environments. A small-scale trial, involving five treated and five untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil, and the number of emerging plants were counted. If the solution was not effective and four plants actually sprouted, what is the probability that a b c all four plants emerged from treated seeds
Answer:
2.38%
Step-by-step explanation:
Given that:
The population size involving numbers of treated and untreated seeds N = 10
the number of seeds that are treated which are observed = 5
the number of seeds that sprouted 'n' = 4
Now, use the method of hypergeometric probability, we have the formula:
[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]
∴
[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]
[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]
[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]
[tex]p(4) = \dfrac{5*1 }{210}[/tex]
p(4) = 0.0238
p(4) = 2.38%
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer: 2/5 = 40%
Step-by-step explanation: 2/5 5 (divided) by 25 = 40%
Answer:
40%
2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%
A school has a total of 900 pupils 400 are boys the rest are girls. What's the ratio of boys to girls? .
Answer:
it should be 4:5 I hope that helps
please help! Will mark you as BRAINLIEST!!!!!
Answer:
2x²-2x+5y doing the math reply if you need explanations
Please help meeeeeee!!!!!! 4th time posting this
Answer:
70 cds in 2022
Step-by-step explanation:
each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.
250-175=75.
75/5=15.
15x7=105.
175-105=70.
in 2010 it was 250 and 250+150=400.
in 2000, it was y=400-15x
evaluate the exponent 4 the power of 3
1. 12
2. 81
3. 7
4. 64
________________________________
ps I said 4 to the power of because I put a tiny 3 next to the 4
Answer:
64 or 81
Step-by-step explanation:
If it is 4^3 it would be 4*4*4=64
If it is 3^4 it would be 3*3*3*3=81
(I don't know which one your asking about so I put both)
How do you do this question?
Answer:
D and E
Step-by-step explanation:
y = (x + 1)²
If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.
If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.
If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.
If x = t − 1, then y = (t − 1 + 1)² = t².
If x = t, then y = (t + 1)² = t² + 2t + 1.
which expression is represented by the diagram? O-6-(-4) O -6-4 O -10-4 O -10-(-4)
Answer is -10 -4 your welcom
How do you do this question?
For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);
x = 1 + t(4 - 1)
y = 1 + t(3 - 1)
A to B => (x = 1 + 3t, y = 1 + 2t)
We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);
x = 4 + t(1 - 4)
y = 3 + t(7 - 3)
B to C => (x = 4 - 3t, y = 3 + 4t)
(x1, y1) = (1, 1) and (x2, y2) = (1, 7);
x = 1 + t(1 - 1)
y = 1 + t(7 - 1)
A to C => (x = 1, y = 1 + 6t)
Here is your graph of the triangle. Desmos is a really great tool to use;
How is 727.526 in word form
Answer:
seven hundred twenty-seven and five hundred twenty-six thousandths
Step-by-step explanation:
Hope this helps:)
Find the slope of (-3,9) and (-3,-5)
Answer:
undefined
Step-by-step explanation:
the slope is found by finding the change in y over the change in x. in this instance, you can do 9--5/-3--3... which is the same as 9+5/-3+3. the result is 14/0. Any fraction that has a denominator of zero is undefined, so the line would be straight up and down.
If this helped, don't forget to mark it the brainliest:) have a nice day
Moses draws a picture that measures 8 inches by 7 inches. What is the area of the picture?
Answer:
I'm pretty sure its 56 inches squared
PLEASE HELP ME FAST
1. Given the diagram to the right and information below, determine which lines, if any are parallel. State the converse that justifies your answer
Answer:
Step-by-step explanation:
Given Parallel lines Converse
a). ∠13 ≅ ∠17 a║c Corresponding angles
b). ∠4 ≅ ∠9 b║e Exterior alternate angles
c). m∠19 + m∠22 = 180° a║b Same side exterior angles
d). ∠8 ≅ ∠19 Vertical angles.
e). ∠10 ≅ ∠23 b║c Alternate angles
f). m∠14 + m∠17 = 180° a║c Same side Interior angles
Four friends made 55 cupcakes and shared them equally.
How many cupcakes did each friend get?
Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.
What is the unitary method?A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.
To find how many cupcakes each friend gets we can use the unitary method.
Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.
∴ Each friend can have 13 cupcakes.
learn more about unitary method here :
https://brainly.com/question/22056199
#SPJ2
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1535 grams and standard deviation 169 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1136 and 1243 grams? (b) What is the probability that a randomly selected broiler weighs more than 1600 grams? (c) Is it unusual for a broiler to weigh more than 1710 grams? Round the answers to at least four decimal places. Part 1 of 3 The proportion of broilers that weigh between 1136 and 1243 grams is .
Answer:
(a) 0.0329
(b) 0.3502
(c) It is not unusual for a broiler to weigh more than 1710 grams.
Step-by-step explanation:
Using the TI-84 Plus calculator:
z-score is z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
mean is 1535 grams and standard deviation is 169 grams.
(a) What proportion of broilers weigh between 1136 and 1243 grams?
For x = 1136 grams
z = (x-μ)/σ
= 1136 - 1535/169
= -2.36095
Determining the probability value from Z-Table:
= P(x = 1136)
= P(z =-2.36095)
= 0.0091142
For x = 1243 grams
z = (x-μ)/σ
= 1243 - 1535/169
= -1.72781
Determining the probability value from Z-Table:
P(x = 1243) = 0.042011
The proportion of broilers weigh between 1136 and 1243 grams is calculated as:
P(x = 1243) - P(x = 1136)
= 0.042011 - 0.0091142
= 0.0328968
≈ 0.0329
(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?
For x = 1600 grams
z = (x-μ)/σ
= 1600 - 1535/169
= 0.38462
Determining the Probability value from Z-Table:
P(x<1600) = 0.64974
P(x>1600) = 1 - P(x<1600) = 0.35026
The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502
(c) Is it unusual for a broiler to weigh more than 1710 grams?
For x = 1600 grams
z = (x - μ)/σ
= 1710 - 1535/169
= 1.0355
P-value from Z-Table:
P(x < 1710) = 0.84978
P(x > 1710) = 1 - P(x < 1710) = 0.15022
From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.