Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
One solution to a quadratic equation is x = -2i
What is the other solution?
I believe it would be x=2i
:)
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
What is X
2(x−3)=8(x−6)
100 Points
Hey there!
The answer to your question is x = 7
We can solve this by simplifying both sides of the equation:
2x - 6 = 8x - 48
Then, add 48 to both sides:
2x + 42 = 8x
Then, subtract 2x from both sides:
42 = 6x
Lastly, divide both sides by 6:
7 = x
Hope it helps! Have a great day, and good luck on your assignment!
If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days
Answer:
a) 34.3%
b) 49%
Step-by-step explanation:
In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..
70% / 100 = 0.70
Now we multiply all of them together and multiply the product by 100 to get the percentage.
0.70 * 0.70 * 0.70 = 0.343
0.343 * 100 = 34.3%
34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities
0.70 * 0.70 = 0.49
0.49 * 100 = 49%
Make x the subject of the formula
X
y = x/a+b
Step-by-step explanation:
[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answer:
y>5−2x/3
Step-by-step explanation:
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?
Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates
Step-by-step explanation:
Original x-value = 21
New x-value = 21 * (-1/7) = -3.
Original y-value = 28
New y-value = 28 * (-1/7) = -4.
Hence the coordinates of the new point is (-3,-4).
Answer:
Original value of x-axis =21
New value of x-axis = 21×(-1/7) = -3
Original value of y-axis =28
New value of y-axis = 28×(-1/7) = -4
Hence, the new coordinate is (-3,-4).
Please help me on this and thank you!
Answer:
D
Step-by-step explanation:
We open it up, so 2/3x + -3 + -2 -1/3x, -3 + (-2) = -5.
2/3x - 1/3x - 5, 2/3x - 1/3x = 1/3x
Our final answer is 1/3x - 5
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
Evaluate the expression.
(-5)(5) +5=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-5)(5) +5 Equation
Step 2
(-5)(5) +5 Simplify
(-5)(5) +5
Step 3
(-5)(5) +5 Add and multiply them
(-25)+5
answer
-20
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
The polynomial 5x — 4x² + 3 — 2x³ is in standard form.
True or False.
Answer:
False.Answer = -2x³ - 4x² +5x +3MARK ME AS A BRAINLIST AND FOLLOW MEMarta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
y= -5/3x + 3
y= 1/3x - 3
Answer:
y =-2/3x
x = 1
Step-by-step explanation:
adding both equations and then we find the value of y which is given below
y = -2/3x
and then putting the value of y in any above equation then we find the value of X which is given below
X = 1
Can anyone help me with this I need ASAP
Someone help me with this ASAP
Answer:
140
Step-by-step explanation:
The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140
x = 140
Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16
7(2x+3)=3(4x+6)+2x+3
Answer:
[tex]7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0[/tex]
Carmen is buying a fitness tracker that costs $129.95. She has a coupon for 20%. After the coupon is used, 7% tax will be charged. What is the final cost of the fitness tracker with tax?
9514 1404 393
Answer:
$111.24
Step-by-step explanation:
The use of a 20% off coupon causes the price to be multiplied by (1 -20%) = 0.80. The addition of 7% tax causes the discounted price to be multiplied by (1 +7%) = 1.07. Multiplying the price by these two factors gives ...
$129.95 × 0.80 × 1.07 = $111.24
The final cost with tax is $111.24.
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
Jim is making salsa recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of the cilantro if Jim has one cup of cilantro how many cups of tomato sauce with he need 
Aimee noticed her plant grew Two-thirds of an inch every week since it sprouted. She created this graph to show its growth.
On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (3, 2) and (6, 4) are plotted.
Which statement about Aimee’s graph is true?
Aimee’s graph is correct because the ratio Two-thirds is to 1 is equal to 2:3, which her graph shows in each point.
Aimee’s graph is incorrect because the ratio Two-thirds is to 1 is equal to 3:2, so she should have switched her points.
Aimee’s graph is correct because it shows 3 inches of plant growth every two weeks.
Aimee’s graph is incorrect because it shows 2 inches of plant growth with each point instead of Two-thirds of an inch.
Answer:
It's C
Step-by-step explanation:
I got a 100% on edge, have a delightful day Chicos y chicas!
Answer: A
Step-by-step explanation:
a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?
Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour
bottle 1: $2.97/100 oz = unit rate
bottle 2: $5.78/200 oz=unit rate
BOTTLE 1 =0.0297
BOTTLE 2 =0.0289
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
are you a robot cause i think you are
