Answer:
a) Exactly 4 of the students are CS majors - 2583525
b) 2 E, 3 CE, 1 AS, 1 M, 1 CS - 94080
Step-by-step explanation:
1) In total 8 students need to be selected out of total 45 students
4 need to be selected from CS stream and the other 4 will be selected from the remaining 38 student.
Probability of selecting 4 CS students = [tex]^7C_4[/tex]
Probability of selecting 4 more students from 38 students [tex]=^{38}C_4[/tex]
Probability of having exactly 4 of the students from CS majors
[tex]^7C_4[/tex] * [tex]^{38}C_4[/tex]
[tex]35 * 73815\\= 2583525[/tex]
2) ) 2 E, 3 CE, 1 AS, 1 M, 1 CS
[tex]^2C_2 * ^{16}C_3* ^4C_1* ^6C_1 * ^7C_1\\= 560 * 4* 6* 7\\= 94080[/tex]
Use the Distributive Property to solve the equation.
3 = 3/4 ( b - 8 )
Answer:
b = 12
Step-by-step explanation:
First, distribute 3/4 to both terms in the parentheses:
3 = 3/4(b - 8)
3 = 3/4b - 6
Now, solve for b:
9 = 3/4b
12 = b
So, the answer is b = 12
Answer:
12
Step-by-step explanation:
3 = 3/4 x (b-8)
Distribute 3/4 through the parentheses
3 = 3/4 b - 6
Multiply both sides of the equation by 4
12 = 3b - 24
Move the variable to the left - hand side and change its sign
-3b = -24 - 12
Calculate the difference
-3b = -36
Divide both sides of the equation by -3
B = 12
Is either x=6 or x =7 a solution to x +7=13
Answer:6
Step-by-step explanation:
the sum of two consecutive even integers is 138
Answer:
68 and 70
Step-by-step explanation:
if the first integer is x, the next would be x + 2
so your equation is x + x+2 = 138
2x + 2 = 138
minus 2 on both sides
2x =136
x = 68
so if x is 68
x + 2 would be 70
if you add those up, im pretty sure you'll get 138
Mark Brainliest! if you get it right!
Which of the following equations must be true? A k +5 (3 – 1) = 15+ k B) 3+ 7k 21+ 3k C) 5 2k = 3K © 5 D) 5 (7 + k) = 35 + 5k
Answer:
D is the correct answer
im sure
Preston drove 115 miles and used up 6
gallons of gas. How many milea can he
drive with 14 gallons of gas?
Hurrry please
Answer:
269gallons
Step-by-step explanation:
115/6=19.16
19.16*14=268.33 or round up to 269
An auto dealer buys a truck at a cost of $15,800 and sells it to consumers at a price of $33,970. Find the amount of the markup, and the percent markup based on the selling price. Round to the nearest tenth percent.
Answer:
i dont know how to help you:(
In a lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 45. Their order of selection is not important. Find the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of 45 the possible numbers
Answer:
p=39/45=13/15
Step-by-step explanation:
Look at the intersecting lines below.
What is the value of a?
Answer:
a=22
Step-by-step explanation:
2a+2=46
2a=46-2
2a=44
a=44÷2
a=22
Answer:
a = 22°
Step-by-step explanation:
Since vertical angles are always congruent we know that 46° = 2a + 2°, therefor...
46° = 2a + 2°
2a = 46° - 2°
2a = 44°
a = 44° / 2
a = 22°
a biologist analyzes 15 bacteria samples each day a. complete the table
Answer:
Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15
Step-by-step explanation:
The complete table:
Days 1 2 3 4 5
Total samples 15 30 45 60 75
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bacteria samples analyze each day = 15
The equation for the number of bacteria analyzes after x days.
B = 15x
Now,
x = 1, B = 15
x = 2, B = 30
x = 3, B = 45
x = 4, B = 60
x = 5, B = 75
Thus,
Days 1 2 3 4 5
Total samples 15 30 45 60 75
Learn more about expressions here:
https://brainly.com/question/3118662
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What are the y-intercept and axis of symmetry of this quadratic function? 5 Select two answers: one for the y-intercept and one for the axis of symmetry
Answer:
y intercept: (0,1)
Axis of symmetry: x=-2
Step-by-step explanation:
The y intercept is where the curve crosses the y axis.
y intercept: (0,1)
The axis of symmetry is the x value where drawing a vertical line has the left side of the curve a mirror image of the right side of the curve.
Axis of symmetry: x=-2
The required y-intercept is (0, 1) and the axis of symmetry is x = -2. Options A and C are correct.
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
Here,
From the above definition in the graph locate the value of y when x is zero,
So, in the graph, when x is zero y is 1
There is why the y-intercept of the given function is 1,
Now,
For the axis of symmetry, just draw a line with a vertex that part the function in two equal halves,
So vertex of the given function is (-2, -3), and the line that divides the function in two equal halves is x = -2
Thus, Options A and C are correct.
Learn more about intercept here:
https://brainly.com/question/14886566
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Match each description to its example.
1. (2, -3) → (-3, 2) reflection across both axes
2. (2, -3) → (2, 3) reflection across the x-axis
3. (2, -3) → (-2, -3) not a reflection
4. (2, -3) → (-2, 3) reflection across the y-axis
Answer:
(2, -3) → (2, 3) reflection across the x-axis
(2, -3) → (-2, -3) reflection across the y-axis
(2, -3) → (-2, 3) reflection across both axes
(2, -3) → (-3, 2) not a reflection
Step-by-step explanation:
Reflection across the x-axis:
When we reflect a point across the x-axis, it's x coordinate keeps the same value, while the signal of the y-coordinate is changed, having the same value, with different signal.
So the correct option is:
(2, -3) → (2, 3) reflection across the x-axis
Reflection across the y-axis:
When we reflect a point across the y-axis, it's y coordinate keeps the same value, while the signal of the x-coordinate is changed, having the same value, with different signal.
So the correct option is:
(2, -3) → (-2, -3) reflection across the y-axis
Reflection across both axis:
Both change the signal. So
(2, -3) → (-2, 3) reflection across both axes
Rotations:
When we have a rotation, not only the signals can change, but also the numbers, x with y and y with x. Rotations are not reflections. So
(2, -3) → (-3, 2) not a reflection
A verandah of width 2.25 m is constructed all along outside a room which is 5 m long and 3 m wide. Find:
(1) the area of verandah and
(ii) the cost of cementing the floor of verandah at the rate of 7 275 per m².
who answers first will be marked as brainliest iam serious no scam
Answer:
(i)The length of room = 5.5 m and width of the room = 4 m
The length of room with verandah = 5.5 + 2.25 + 2.25 = 10 m
The width of room with verandah = 4 + 2.25 + 2.25 = 8.5 m
Area of verandah = Area of room with verandah – Area of room without verandah = Area of ABCD – Area of EFGH = (AB x AD) – (EF x EH) = (10 x 8.5) – (5.5 x 4) = 85 – 22 = 63 m2
(ii) The cost of cementing 1 m2 the floor of verandah = Rs 200 The cost of cementing 63 m2 the floor of verandah = 200 x 63 = Rs 12,600
HELLLLP MEEEE!
Liana bought a bike for $120. Three years later, she sold it for $96. By what percent did the value of the bike decrease?
A. 12.5%
B. 20.0%
C. 24%
D. 80.0%
Evaluate 4!5!/3!7! Simplify as much as possible
we believe that 81% of the population of all business statistics students consider to be an exciting subject
Answer:
yes
Step-by-step explanation:
A 7th grade classis selling packages of cotton candy at a festival for $2.95 each. Each package costs them $0.95 to make.They expect to sell between 900 and 1,000 packages of cotton candy during the festival.What is a reasonable estimate of the class’s profit?
A. $900
B. $1,000
C. $2,000
D. $3,000
Answer:
Answer C.
Step-by-step explanation:
The class sells them for $2.95, assuming $0.95 manufacturing cost per, leaving $2.00 profit per bag. If they sell 900-1000 packages at $2.00, it leaves $1800-$2000 profit.
Answer:
if you see they have 2.95 and 0.95 you need to combert to a decimal and then you need to subtract 900 and 1,000
Step-by-step explanation:
and oviosly is a 900
please this is a quizzzz
Answer:
QR and ST
Explanation:its right
Andrew had a balance of $263.72 in his checking account. He had deposits to his account of $24.85, $131.63, and $58.29. He had withdrawals to his account of $74.25 and $25.00. What is the new balance in Andrew’s account? WHOEVER ANSWERS FIRST GETS BRAINLIESt
Answer:
$379.24
Step-by-step explanation:
263.72+24.85+131.63+58.29=478.49
478.49-74.25-25=379.24
Hope this helped :)
Plz mark as Brainliest :)
30 x (300 / 30)= 300
1) remover parentheses.
[tex]30 \times \frac{300}{30} = 300[/tex]
2) cancle 30.
[tex]300 = 300[/tex]
3) Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions.
What is twice the difference of a number and 6 is 5
Answer:
8.5
Step-by-step explanation:
Twice the difference of a number and 6 equals 5 is written algebraically as 2(x-6)=5, where x is the number. Solving for x:
2(x-6)=5
(x-6)=5/2
x=6+5/2
x=17/2
So the number is 17/2, or, expressed as a decimal number, 8.5
1: If a = 5/2 then 1/a =
A. 2
B. 5
C. 2/5
D. 5/2
Answer:
C. 2/5
Step-by-step explanation:
IF a = 5/2 then
1/a = 2/5
Hope it will help :)
help me due tomorrow please explain
Answer:
3/8
Step-by-step explanation:
First convert 1/2 into eights. 1/2 as eighths is 4/8.
So 4/8-1/8=3/8.
Therefor, 3/8 is the answer you're looking for.
I hope I helped :)
Answer:
3/8
Step-by-step explanation:
you have to find the LCM (least common multiplier) of 2,and 8 and that would be 8 therefore youd change the fractions from 1/2-1/8 to 4/8-1/8 you subtract the tops and keep the bottoms the same as 8. so 4-1=3 therefore the anwser would be 3/8
plz can you help me
Answer:
1/2
Step-by-step explanation:
because there are one woman and one man
-4(2x+7) = 2x - 18 Solve for x
Answer:
x = -1
Step-by-step explanation:
-8x - 28 = 2x - 18
+28 +28
-8x = 2x + 10
-2x -2x
-10x = 10
÷-10 ÷-10
x = -1
Answer:
1.Distribute
2.Add 28 to both sides
3.Simplify
4.Subtract 2x from both sides
5.Simplify
6.Divide both sides by the same factor
7.Simplify
x =-1
Brainliest to whoever answers first with working
Answer:
10000
Step-by-step explanation:
0000 to 9999 so 10000 numbers
Tark each location described.
1) Mark the location of
of 6/3
Answer: Chet aero marine
Step-by-step explanation: (this is the only thing I will say and warn this) The contents of the report reflects the views of the authors who are responsible for the fact of the accuracy of the data presented herein. Although the contents do not necessarily reflect policy of the department of transportation. This report does not constitute a standard, specification, or regulation. The united states government does not endorse products or manufacturers. Trade or manufacturer's names appear herein only because they are considered essential to the object of the document. :I hope this helps have a uwu or great day! ✍(◔◡◔)
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48%
A community centre organises a raffle to raise money for charity.
There is 1 prize to be won in the raffle.
Daniel buys 17 raffle tickets.
A total of 280 tickets were sold.
Find the probability that Daniel does not win the prize.
Answer:
263/280 or 0.9
Step-by-step explanation:
if daniel has 17 raffle tickets that mea\ns he has 17 chances of winning. and the question says chance that he wont win
so
280-17 (out of 280)
=263/280
1/2a - 6 = 3 + a solve for a plssss
Makayla leaves a tip of $15. This was 15% of the bill before the tip.
How much was Makayla's bill before the tip?
Answer:
100
Step-by-step explanation:
both the percentage and the money have the same number, and there's always 100% so it'd be 100 before the tip
Answer:
$100.00
Step-by-step explanation:
Please see attachment for the solution. The calculations are executed in black ink. The justification was executed in green ink. The solution is highlighted in blue.
~~
Thank you!
What is the value of x?
Answer:
D
Step-by-step explanation:
Remark
The two angles across from each other are equal.
Equation
5x - 1 = 124 Add 1 to both sides
Solution
5x - 1 + 1 = 124 + 1 Combine
5x = 125 Divide by 5
5x/5 = 125/5
x = 25