Given:
Total number of players = 15
Required players = 5
To find:
The number of ways to select 5 young women for the basketball team if 15 players try out?
Solution:
We know that, the total number of ways to select r items from n item is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The total number of ways to select 5 players from 15 is
[tex]^{15}C_5=\dfrac{15!}{5!(15-5)!}[/tex]
[tex]^{15}C_5=\dfrac{15\times 14\times 13\times 12\times 11\times 10!}{5\times 4\times 3\times 2\times 1\times 10!}[/tex]
[tex]^{15}C_5=\dfrac{15\times 14\times 13\times 12\times 11}{5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{15}C_5=3\times 7\times 13\times 11[/tex]
[tex]^{15}C_5=3003[/tex]
Therefore, coach Lewis can select 5 young women from 15 in 3003 ways.
Which of the following expressions is equal to -3x - 12 ?
A. (-3x - 6.)(+2)
B. (-3x + 2)(x - 6 )
C. (-3x - 4)(x-3)
D. (-3x +6)(x + 21)
Answer:
C
Step-by-step explanation:
Answer:
C.(-3x-4)(x-3)
Step-by-step explanation:
1. -3x -12
2. rewrite 12 as 3 × 4
3. Factor out common term -3
4. answer -3(x+4)
Find the distance from Pleasant Park to Frenzy farm.
GIVING BRAINLIEST.
Answer:
4.47 units
Step-by-step explanation:
Answer:
blurry
Step-by-step explanation:
what would x & y be ? PLZ HELP DUE IN 20 MINUTES !
Answer:
y = -2x + 5
Step-by-step explanation:
plz mark brainliest! :D
Can someone help me with my algebra 2 assignment.
Which is the graph of y= 3/4x -3 ?
Answer:
The one farthest to the right, graph A.
Step-by-step explanation:
1 + 1 = ? can you help me
Answer:I think its 2
Step-by-step explanation:Im not really sure but i think thats the answer
Answer:
2
Step-by-step explanation:
Find the value of x in the triangle shown below
Answer:
Step-by-step explanation:
Pythagorean theorem,
Base² + altitude² = hypotenuse²
x² + 3² = 6²
x² + 9 = 36
x² = 36 - 9
x² = 27
x = √27
Answer:
D) x=sq rt 27
Step-by-step explanation:
using the Pythagorean theorem
6^2=3^2+x^2
36=9+x^2
27=x^2
x=sq rt 27
HURRY HURRY HURRY PLEASE! This is due by 8:00 it’s 7:21 !
Answer:
64
Step-by-step explanation:
4^3 means to multiply 4 by itself three times, 4×4×4=64
Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
(7, -4)
Step-by-step explanation:
A bottom of a 6 foot deep circular pool has an area of 452.4 ft. If the pool is only
full, how many cubic feet of water are in the pool? Round to the nearest tenth, if
necessary.
Answer:
450.4
Step-by-step explanation:
The measure of two side of a triangle are given if p is the perimeter and p=18x+9y find the measure of the third side
Answer:
10x + 6y
Step-by-step explanation:
Let t = length of the third side
3x + 4y + 5x - y + t = 18x + 9y
8x + 3y + t = 18x + 9y
t = 10x + 6y
a recipe for pizza crust call for 3 cups of flour for every 1 cup of water.How many cups of water are needed for 21 cups of flour
I need help!!!!
Help help help help
Answer:
-4/5
Step-by-step explanation:
hope this helps
Answer: The slope is -4/5
Step-by-step explanation: Try finding 2 points on the graph that are on the line, then use the following formula, rise / run. The slope is -4/5.
How many bars of soap and toothbrushes are in each package
Answer:
Please explain
Step-by-step explanation:
Answer:3,2
Step-by-step explanation:
I did it
An item is regularly priced at $55 . Carlos bought it at a discount of 95% off the regular price.
Answer:
It will cost you $2.75
Step-by-step explanation:
95% of $55 = $2.75
have a nice day hope this helps :)
What is the slope of the line?
Answer:
1
Step-by-step explanation:
[tex]\frac{rise}{run}=slope[/tex]
[tex]\frac{1}{1} =1[/tex]
therefore the slope is 1
plz mark me brainliest. :)
Answer:
y = x + 5
1 would be the slope AKA m
Step-by-step explanation:
y = mx + b
mx is change of y to the change in x.
m is the slope
As you can see in the problem above, everytime y moves up 1, x moves to the right 1.
b is the y intercept - where is y when x is at 0?
This will help you find the slope of future problems hopefully. :)
please hurry I need to pass this class
Answer:
start at (0,2) go up one over 3 to the right, and down 1 over 3 to the left
Answer:
slope is 1/3
the y intercept is (0,2)
Pls help!!!!!!!!!!!!!!!!!!!!
Answer:
A) (6 , 8)
B) (-6 , 2 )
C) (4 , -4)
Which two equations express the measure of angle x?
Step-by-step explanation:
the answer to your question is 1 and 4
Answer:
Step-by-step explanation:
1 and 4 wrong
Which correlation coefficient represents the strongest downward trend in a data set? -0.83 -0.23 0.12 0.92
Answer: -0.83
Step-by-step explanation:
A correlation coefficient(r) is used to determine the strength and direction of the relationship between two variables.
-1 ≤ r ≤1
For downward trend r is negative.
For strong correlation r should be closer to 1 or -1.
From the given correlation coefficients -0.83 is both negative and closer to -1.
Hence, a correlation coefficient represents the strongest downward trend in a data set = -0.83
A map of a city uses the scale 1 cm = 75 m. On the map, South Street is 28 cm long. If there is a traffic cone at the start of South Street and a cone every 5 m along the road, how many traffic cones are there in al?
traffic cones in all
There are
Answer:
28 x 75 = 2,100 then you would divid 2,100 / 5 = 420 so thats your answer.
Hope this helps please reward me brainlist
Light can travel 1,339,200,000 miles in two hours. What is the speed of light in miles per hour?
Answer:
670 616 629 miles per hour?
Step-by-step explanation:
Help please I don’t know what to do!!!!!
Answer:
[tex]y = 2(2) {}^{x} [/tex]
Step-by-step explanation:
It ask us to create a exponential function. A exponential function is represented by a equation like this
[tex]y = ab {}^{x} [/tex]
where a is the vertical stretch, b is the constant rate of growth, and x is the nth exponet.
Using the point 0,2
we can plug that in to find a part of the equation above.
let x=0 and y=2
[tex]2 = ab {}^{0} [/tex]
[tex]b {}^{0} = 1[/tex]
[tex]2 = a \times 1[/tex]
[tex]a = 2[/tex]
Let update the equation now since a equal 2
[tex]y = 2b {}^{x} [/tex]
Now let use point 2,8 to find the b value
let x=2 and y=8
[tex]8 = 2b {}^{2} [/tex]
Divide both sides by 2
[tex]4 = {b}^{2} [/tex]
take the sqr root of 4
[tex]b = 2[/tex]
Let update the equation
[tex]y = 2(2) {}^{x} [/tex]
Hema is making cupcakes for her classroom. She has a 14 ounce-bag of sprinkles. aif she puts 1/3 ounce of sprinkles on each cupcake, how many cupcakes can she make using the sprinkles? (fraction pls)
Answer:
42 or 42/1
Step-by-step explanation:
Divide 14 by 1/3.
URGENT!!!! PLS HELPP!!!
Answer:
35*36=1260
Step-by-step explanation:
Answer:
35, 36
Step-by-step explanation:
Let the two consecutive positive integers be x and (x + 1)
According to the given information:
[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]
how to solve for x???
Answer:
B) [tex]10\sqrt{3}[/tex]
Step-by-step explanation:
So basically it's divided into 3 similar triangles and using ratios we can try to find x
long side/short side = long side/short side
(20)/(x) = (x)/(15)
[tex]x^{2}[/tex] = 300
x = [tex]10\sqrt{3}[/tex]
I really hope I didn't make that too complicated-
marking brainiest to whoever can help me fill these in
I don't know let me think about it
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
ΔABC ≈ ΔDBE
set up a proportion of corresponding sides:
BD / BE = BA / BC
BA = 10 - x + x = 10
10-x / 3 = 10 / 5
cross-multiply:
5(10 - x) = 3(10)
50 - 5x = 30
-5x = -20
x = 4
Estimate the percent using decimals.
48% of 400
Answer:
192
Step-by-step explanation:
48/100 ×400
48×100
=192
Answer:
48% of 400=48/100×400=48×4=192 is your answer
Calculate the missing number in a ratio. ?:0.2 = 7:6
9514 1404 393
Answer:
? = 7/30 = 0.233...(repeating)
Step-by-step explanation:
Write the ratios as fractions, then multiply by the denominator under the unknown.
[tex]\dfrac{\text{?}}{0.2}=\dfrac{7}{6}\\\\\text{?}=0.2\times\dfrac{7}{6}=\dfrac{2}{10}\times\dfrac{7}{6}\\\\ \boxed{\text{?}=\dfrac{7}{30}=0.2\overline{3}}[/tex]