A committee consisting of 5-studnts is to be formed out of 10, of which 4-are females and 6-are males. How many committees can be formed if 3 males are to be included
Answer:
120 committees can be formed if 3 males are to be included
Step-by-step explanation:
Total members in the committee = 5
Out of 10 people, 6 are males and 4 are females
In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4
Total number of outcomes = 4C2 * 6C3
Total number of outcomes = 6 * 20 = 120
Which relation is a function?
{(5, 0), (0, 1), (5, 2), (4,4)}
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
{(3, 2), (2,1), (−1, 2), (3,3)}
{(1, 2), (2,4), (−1, 2), (0,3)}
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) {(1, 2), (2,4), (−1, 2), (0,3)}
»»————- ★ ————-««
Here’s why:
A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.⸻⸻⸻⸻
Option A's answer is incorrect, as the domain value of '5' repeats.
{(5, 0), (0, 1), (5, 2), (4,4)}
⸻⸻⸻⸻
Option B is not a function due to the repeating '-4' value.
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
⸻⸻⸻⸻
The '3' in option C's given relation repeats.
{(3, 2), (2,1), (−1, 2), (3,3)}
⸻⸻⸻⸻
Option D is the correct answer, as there are no domain values that repeat.
{(1, 2), (2,4), (−1, 2), (0,3)}
Therefore, option D is a function.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the coordinates of the center and the measure of the diameter for a circle whose equation is (x + 8)2 + (y - 4)2 = 81
Reminder :
( x + a )^2 + ( y + b )^2 = ( R )^2
Center : O = ( - a , - b )
R = radius
_____________________________
( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2
Center : O = ( - 8 , 4 )
radius = 9
Diameter = 2 × radius = 18
Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost
Answer:
C/4
Step-by-step explanation:
The amount divided by the amount of people will show how much each person owes
ASAP
-WILL MARK BRIANIST
Answer:
C and D
Step-by-step explanation:
If you find the percentage of 95% of 6 it will give you an answer of 5.7
.95 x.006 equals 0.0057
95x6 equals 570
0.95 x 6 equals 5.7
95/100 x 6 equals 5.7
What value of x would prove a || b (a parallel to b)? (Hint: Add consecutive interior angles to solve for x).
Answer:
x=8
Step-by-step explanation:
19x-13+6x-7=180
x=8
We have a || b (a parallel to b), the interior angle property. Therefore, the value of x would be 8.
What is the sum of interior angles of parallel lines?The sum of all the interior angles of parallel lines is equal to 180 degrees.
We have a || b (a parallel to b), the interior angle property
19x - 13 + 6x - 7 = 180
25x - 20 = 180
25x= 200
x = 8
Therefore, the value of x would be 8.
Learn more about the interior and exterior angles here:
https://brainly.com/question/14173422
#SPJ2
X^2 +14x+13=0 solve for X
X=13,1
I hope this helped :)
the price of a photography machine in RS60000.find the price after inculding13%tax
Answer:
Rs. 67800
Step-by-step explanation:
Price of photograph = 60000 = 100%
Tax = x dollars = 13% of 60000
100% + 13% = 113% = 1.13
Multiply
1.13(60000) = 67800
To check, lets find 13% of 60000 and add to 60000
13% = 0.13
0.13(60000) = 7800
60000 + 7800 = 67800
Units = Rs
Rs. 67800
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Pythagorean theorem please show work thank you
Answer:
Step-by-step explanation:
I'm not too sure about this question but I think the whole width part is just bait/irrelevant
I need answer immediately
Answer:
Answer is 1 minute
Step-by-step explanation:
The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute
A set of 3 erasers costs $1.68. At this price rate, how much would 10 erasers cost?
Answer:
$5.60
Step-by-step explanation:
1.68/3 = .56
10 x .56 = 5.6
Answer:
$5.60
Step-by-step explanation:
1.68 / 3 = 0.56
This is the cost of one eraser.
Now, to find the cost of ten, all we have to do is:
0.56 x 10 = $5.60
Hope i could help :)
I need answer Immediately!!!!!!
Answer:
Step-by-step explanation:
https://www.numerade.com/questions/write-the-equation-for-the-graph-that-is-shown-check-your-book-to-see-graph-3/
please help me with the step by step
Answer:
stay safe healthy and happy....Step-by-step explanation:
This is the correct answer
Find the volume of the given prism. Round to the nearest tenth if necessary.
Which statement is always true about a regular polygon?
Answer:
All polygons have straight lines
Step-by-step explanation:
Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.
Answer:
156 ft²
Step-by-step explanation:
Given :
The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.
The 2 triangular sides have a base of 3 feet and height of 4 feet
We sum the area of each side:
Area of triangular side = 1/2 * base * height
Since there are 2 triangular sides :
Total area of triangular side = 2(1/2 * base * height)
Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²
Area of rectangle sides = lengtb * width
Area 1 = 12 * 3 = 36 ft²
Area 2 = 12 * 5 = 60 ft²
Area 3 = 12 * 4 = 48 ft²
Total = 12 + 36 + 60 + 48 = 156 ft²
Mondo correctly finds the closest benchmarks for three numbers.
Three and StartFraction 6 over 25 EndFraction is closest to the benchmark 3
3.8 is closest to the benchmark 4
Three and four-ninths is closest to the benchmark Three and one-half
Which shows the numbers Three and StartFraction 6 over 25 EndFraction, 3.8, and Three and four-ninths in order from greatest to least?
Three and StartFraction 6 over 25 EndFraction, Three and four-ninths, 3.8
Three and StartFraction 6 over 25 EndFraction, 3.8, Three and four-ninths
3.8, , Three and StartFraction 6 over 25 EndFraction
3.8, Three and StartFraction 6 over 25 EndFraction,
Answer:
From greatest to least, the order is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Step-by-step explanation:
Given
[tex]Closest\ Benchmark \to Number[/tex]
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
Required
Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least
From the given parameters, we have:
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
This implies that:
[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark
Convert [tex]3\frac{4}{9}[/tex] to decimal
[tex]3\frac{4}{9} = 3.44[/tex]
By comparison;
[tex]3.8 >\ 3\frac{4}{9}[/tex]
Hence, the list is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise she sells that exceeds a total of $400. Joan wrote the expression 400 + 0.04(t − 80), where t represents her sales total in dollars, to compute the total amount of money that she will make. For sales of $500 Joan calculated that she will make $416.80. Explain Joan's error by completing the correct expression and how much she will make.
Answer:
Total amount earned = $84
Step-by-step explanation:
The correct expression is
Total amount earned = 80 + 4% of (t - 400)
= 80 + 0.04(t - 400)
where,
t = her sales total in dollars
Total amount of money that she will make for sales of $500
Total amount earned = 80 + 0.04(t - 400)
= 80 + 0.04(500 - 400)
= 80 + 0.04(100)
= 80 + 4
= 84
Total amount earned = $84
Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram
Answer:
the option A is a correct ans .
Which unit rate is equivalent to the ratio 12 to 3?
Answer:
[tex]\frac{4}{1}[/tex]
Step-by-step explanation:
You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].
If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.
Your new fraction would be [tex]\frac{4}{1}[/tex].
Please help you guys I really need it!
Answer:
Undefined
Step-by-step explanation:
A vertical line doesn't have a slope since it doesn't run horizontally.
Answer:
0
Step-by-step explanation:
a straight line doesn't have a slope
please help i keep getting the wrong answer and it’s due soon
Answer:
I think its 967.22 (2dp) I'm sorry if it's wrong
Step-by-step explanation:
use formula 2*pi *r
Solve
x + y = 100 x -y = 10
Pair of Equation
x + y = 100
x - y = 10
_____________ +
( x + y ) + ( x - y ) = 100 + 10
2x + y - y = 110
2x = 110
x = 110/2
x = 55
_________________________________
x - y = 10
55 - y = 10
- y = 10 - 55
- y = - 45
y = 45
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
x = 55 ..**&**.. y = 45
Please help!!!! There are 324 students coming.
===============================================================
Explanation:
Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.
Let x be the cost of equipment, lighting, and costumes combined.
The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.
The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.
Let's solve for x
1814.40 - x = 500
-x = 500-1814.40
-x = -1314.40
x = 1314.40
So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.
when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.
a. 18 treats
a. 19 treats
c. 14 treats
d. 16 treats
Answer:
18 treats
Step-by-step explanation:
If she gives 2/5 of 30 = 12
so 3/5 of 30 is 18 (also 30-12 =18)
What is 63,998 in expanded form?
Answer:
60,000 3,000 900 90 8
Step-by-step explanation:
Answer:
60,000+3,000+900+90+8
Step-by-step explanation:
I used go ogle
Someone please help
Answer:
15 cm
Step-by-step explanation:
.....................
An inground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represents the area of the brick walkway?
Answer:
[tex]A_w=238x-2176[/tex]
Step-by-step explanation:
From the question we are told that:
Length of pool [tex]L=34ft[/tex]
Width of Pool [tex]W=x[/tex].
Brick walkway Width [tex]W_b=4[/tex]
Generally the expression for a Area of pool is mathematically given by
[tex]A=L*W[/tex]
[tex]A=34*x[/tex]
[tex]A=34x[/tex]
Generally the expression for a Area of pool + Walkway is mathematically given by
[tex]A'=L'*B'[/tex]
where
[tex]L' =L+2(W_b)[/tex]
[tex]L' =34+2(4)[/tex]
[tex]L'=34+8[/tex]
[tex]L'=272[/tex]
And
[tex]W'=W+2(W_b)[/tex]
[tex]W' =x+2(4)[/tex]
[tex]W' =x+8[/tex]
Therefore
[tex]A'=L'*B'[/tex]
[tex]A'=(272)*(x+8)[/tex]
[tex]A'=272x+2176[/tex]
Generally the expression for a Area of Walkway is mathematically given by
[tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]
[tex]A_w=A'-A[/tex]
[tex]A_w=272x+2176-34x[/tex]
[tex]A_w=238x-2176[/tex]
Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.
If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks
Answer:
Cases will increase to 850 in half day
Step-by-step explanation:
Given
The number of reported cases increase from 60 to 75 in seven days (week)
rate of increase of cases = 75-60/7 = 15/7
Now, as per the exponential growth equation
[tex]P = P_0 * e^{r*t}[/tex]
Substituting the given values we get
[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]
Taking log on both sides we get
15/7 * t = 1.15
t = 1.15 *7/15
t = 0.537 days = half day
What is the value of the expression below?
Answer:
D. 2
Step-by-step explanation:
Multiply the exponents to simply equation
5/3 * 1/5 = 5/15 = 1/3
8^1/3 = 2
Cube root of 8 is 2