Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
learn more about permutation and combination here :
https://brainly.com/question/28720645
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explain the slope rules
I need them for my notes.
many thanks <3
Answer:
Rules for Calculating the Slope of Line
Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)
Step-by-step explanation:
Please help ASAP
I’ll mark you as brainlister please
2. What is the solution to this equation?
2 x + 3 = x - 4
Answer: x=-7
Step-by-step explanation:
2x-x=-4-3
Collect terms
X=-4-3
Answer is x=-7
While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the age at which Bavaria develop the ability to walk can be described by normal distribution model, find the mean and standard deviation of the normal model
Answer:
Mean is 12.13 months
Standard deviation is 1.29
Step-by-step explanation:
We need to use z-score here
Let the mean of the distribution be a while the standard deviation be b
Mathematically;
z-score = (x-mean)/SD
We can obtain the probability from the z-score
Now, for the 10th month
The z-score for a probability of P = 0.05(5%)
Can be obtained from the standard normal distribution table and that is;
-1.645
Hence;
-1.645 = (10 - a)/b
-1.645 b = 10 - a
a = 10 + 1.645b ••••••(i)
For the 13 month, we have a proportion of 75%
The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table
Hence;
0.674 = (13-a)/b
0.674b = 13 - a
a = 13 - 0.674b. •••••(ii)
Now equate both a;
10 + 1.645b = 13 - 0.674b
13-10 = 1.645 b+ 0.674b
3 = 2.319b
b = 3/2.319
b = 1.294
So the mean a will be
10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13
So mean is 12.13
Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pounds of peanuts for $7.50. How much is the cost per pound? C. 4 rolls of toilet paper for $2. How much is the cost per roll? D. 10 apples for $3.50. How much is the cost per apple?
Answer: A. Cost per egg = $4 .
B. Cost per pound = $ 2.5
C. Cost per roll = $ 0.5
D. Cost per apple = $0.35
Step-by-step explanation:
Formula: cost per item = (total cost) ÷ (number of items)
A. 12 eggs for $3.
Cost per egg = $ (12÷3) = $4
So, Cost per egg = $4 .
B. 3 pounds of peanuts for $7.50
Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5
So, Cost per pound = $ 2.5
C. 4 rolls of toilet paper for $2.
Cost per roll = $ (2 ÷4 ) = $ 0.5
So, Cost per roll = $ 0.5
D. 10 apples for $3.50.
Cost per apple = $ (3.50 ÷ 10)= $ 0.35
So, Cost per apple = $0.35
someone help me pleaseee❤️
Answer:
i believe the answer is A' (-2,5 ) B' (-1, 2) C' (-3,1)
Step-by-step explanation:
Hope this helps!!
Yo ! I need help serious
Answer:
$400
Step-by-step explanation:
If you go to the left of the graph from the line, it gets you to 400.
Answer:
$400
Step-by-step explanation:
Kinsley's age is 7 years less than twice Jacob's age. If Kinsley is 13 years old, how old is Jacob? Choose the answer below that is a viable solution to this problem.
NEEED HELP PLZZ :(
A 5
B 10
C 1
D 2
Answer:
10x2= 20 -7 =13 :answer is 10.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Kinsey is 7 years less than twice Jacob's age. Let's call Jacob's age x. IF we call Jacob's age x, our equation can be 2x-7 = 13
2x - 7 = 13
2x = 20
x=10
Jacob is 10 years old.
PLEASE HELPPP!!!
what is f(5)?
A. -8
B. -1
C. 1
D. 8
Answer:
A. -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
TIME REMAINING
59:55
Which inequality has –12 in its solution set?
A
B
C
D
x + 6 less-than negative 8
x + 4 greater-than-or-equal-to negative 6
x minus 3 greater-than negative 10
x + 5 less-than-or-equal-to negative 4
A
B
C
D
Answer:
what is a b c or d what are the answers for multi chose
Step-by-step explanation:
Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.
Answer:
The equation, y=3 x,
Step-by-step explanation:
y=Distance traveled
x =Total time
Also, in terms of straight line
Slope =3= uniform Velocity
Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit, and 15 unit=Distance traveled in 5 (Unit of time).
→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.
Answer:
The equation y = 3x represents a proportional relationship, where y represents distance in miles, and x represents time in hours. The point (3, 9) represents that Alonso walks 9 miles in 3 hours. The point (5, 15) represents that Alonso walks 15 miles in 5 hours.
what makes this statment true 9^-2=?
a)81
b)18
c)1/81
d)-1/81
What is the equation for this line? *
O y = -2x +1
O y = 1/2x + 1
O y = -2x - 1
O y = -1/2x + 1
Answer:
y = -2x + 1
Step-by-step explanation:
The y-intercept is given by the point that is on the y-axis. (1)
This means that the answer contains a +1
Then you must find if the slope is positive or negative
In this case the slope is negative because the line goes "downhill" from left to right
Since the slope is negative it means that there will be a negative sign in the beginning of the equation
Next, to find the slope you need to find the rise over run
Since it is a negative slope the rise will be negative and the run will be positive.
To find the slope find two clear points on the graph such as (0,1) and (2,0)
To find the slope, use the slope formula
This would look like: (0-2)/(1-0)
Your slope will be -2x
Piece it all together and you get a final answer of y= -2x+1
pls help me with this
if m angle P is there less than twice the measure of angle Q and angle P and angle Q are supplementary angles, find each angle measure
Answer:
can you add a picture of the problem?
Step-by-step explanation:
Pls I really need help
Answer:
Greater
Step-by-step explanation:
yo this is for a diagnostic grade can someone help
Answer:
35 students
Step-by-step explanation:
The ratio of boys to girls is 3:4
4*x= 20
x= 5
now multiply 5 for the boys
3*5= 15
now add both sums together
20+15 = 35
Done!
Hope this helps! ; )
When a fraction is reduced to lowest terms, the only factor the numerator and denominator have in common is _____.
10
1
0
5
Please help ME!!! I need help
Help please in the photo
Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
Find the range of the function
Answer:
It would be A
Step-by-step explanation:
Plot the image of the triangle ABCD under a reflection across the Y-axis
Answer:
Please provide an image or points to plot
ANyone know how to do power reducing identities
Answer:
nah
Step-by-step explanation:
Find the slope of the line through the given points:
(-5, 7) and (-5, 11)
Answer:
the slope of the line through the given points is x equals negative five.
Michelle wants to borrow $4,500. Bank A will lend Michelle the money at a simple annual interest rate of 9% for 6 years. Bank B will lend her the money at 11% for 4 years. Which bank would charge Michelle the least amount of interest? Explain.
Answer:
Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.
Step-by-step explanation:
this is the simple reponse
the area of a iscoles triangle having base 3 cm and length of the equal side is 2cm is
Answer:
please rotate the picture*
A garden is shaped in the form of a regular heptagon (seven sided), MNSRQPO. A circle with centre T and radius 25m circumscribes the heptagon as shown in the diagram below. The area of triangle MSQ is left for a children’s playground, and the rest of the garden is planted with flowers. Find the area of the garden planted with flowers.
List the steps for developing a model.
Answer:
This is for mathematical modeling. . .
Step-by-step explanation:
Mathematical Modeling-
There are four steps to mathematical modeling:
1. Identify the problem and develop a well-defined question.
2.Look for relations and connections between the variables that are involved.
3. Translate features and relationships you have identified into a mathematical model
4. Verify that the mathematical model accurately represents the situation under investigation.
What is 9% of 31? Do not round, write the exact amount
Answer:
2.79
Step-by-step explanation:
PLEASE HELP PLEASE LIKE NOWWW!!!!!! Which set of numbers is ordered from greatest to smallest?
A
11 2
38 %,
20' 5,0.6
B. O 0.6
11 2
205
38 %
CO
0.6,
2 11
5' 20
38 %
D
38 %
2 11
5. 20
0.6
Answer:
reword your question i cant read it
Step-by-step explanation:
Multiply
(-4) • (-8)
A. -32 B. -12 C. 12 D. 32
Answer:
D. 32
Step-by-step explanation:
= ( -4 ) x ( -8 )
= 32