If
c
=
6
, evaluate the following expression:
c
2
Answer:
36
Step-by-step explanation:
Step 1: Define
c = 6
c²
Step 2: Substitute and Evaluate
6²
36
An undergraduate class has 24 biology majors and 17 chemistry majors. Eight students must be chosen at random to represent an event organizing committee. What is the probability of choosing exactly two chemistry majors
Answer: 0.19158
Step-by-step explanation:
Given: An undergraduate class has 24 biology majors and 17 chemistry majors.
Total students needs to be selected = 8
Number of ways to select 8 students out of 41= [tex]^{41}C_8[/tex]
Number of ways to select exactly two chemistry majors (i.e. rest 6 will be biology majors) = [tex]^{24}C_6\times ^{17}C_2[/tex]
Required probability = [tex]\dfrac{^{24}C_6\times ^{17}C_2}{^{41}C_8}[/tex]
[tex]=\dfrac{\dfrac{24!}{6!(24-6)!}\times\dfrac{17!}{2!(17-2)!}}{\dfrac{41!}{8!(41-8)!}}\\\\=\dfrac{134596\times136}{95548245}\\\\= 0.19158[/tex]
The probability of choosing exactly two chemistry majors = 0.19158
Reggie ordered 30 cupcakes and a layer cake cost $15, and the total cost of the order was $45. What was the price of each cupcake
Answer:
the price of each cupcake is $1
Step-by-step explanation:
30x1=30
30+15=45
A number is 256 more than 594.
What is the number?
Answer:
594+256=850
x-594=256
Answer:
[tex]the \: number \: is \: 850.[/tex]
Step-by-step explanation:
[tex]if \: a\: number \: is \: 256 \: more \: than \: 594. \: then \\ let \: the \: number \: be \: x .\\ the \: then \: equation \: for \: the \: expression \: is : \\ x = 594 + 256 \\ x = 850.[/tex]
♨Rage♨
What is the standard form of the equation of the circle in the graph
Answer:
the dot is the 0 rember dat
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
the questions is c
Convert 54 2/7 to a fraction in lowest term and please work the problem out for me so I can understand how you got the answer thank you
Answer: 19/35
1) Put it over 100.
(54 2/7)/100
2)Simplify
(54 2/7)/100 = 19/35
[tex]54(\frac{2}{7})[/tex]% can be converted into a fraction of [tex]\frac{19}{140}[/tex].
What is a fraction?"A fraction represents a part of a whole or, more generally, any number of equal parts."
The given percentage of the number is
[tex]= 54(\frac{2}{7})[/tex]%
[tex]= \frac{380}{(7)(100)}[/tex]
[tex]= \frac{19}{7(20)}[/tex]
[tex]= \frac{19}{140}[/tex]
Therefore, the required fraction is [tex]\frac{19}{140}[/tex]
Learn more about fraction here: https://brainly.com/question/8482939
#SPJ3
Aaron reads 9 books from the library each month for p months in a row. write an expression to show how many books are in the red and all then find the number of books Aaron read if he read for 6 months
Answer:
9p
p=6
9x6 = 54 books
Step-by-step explanation:
Answer:
expression: 9p
answer: 54
Step-by-step explanation:
9 books every month is 9 times p, or 9p
9(6)=54
hope this helps!
A box contains blue chips and red chips. A person selects two chips without replacement. If the probability of selecting a blue chip and a red chip is , and the probability of selecting a blue chip on the first draw is , find the probability of selecting the red chip on the second draw, given that the first chip selected was a blue chip.
Answer:
Prob ( 2nd Red 'given' 1st Blue ) = 0.8 = 4/5
Step-by-step explanation:
Prob ( A I B ) = Prob (A ⋂ B) / P (B)
Prob ( 2nd Red 'given' 1st Blue ) = P ( 2nd Red & 1st Blue ) / P ( 1st blue)
P ( 1st blue & 2nd red ) = 32/128 , P ( 1st blue ) = 5/16
So, P ( 2nd Red I 1st Blue ) = ( 32 / 128 ) / ( 5/16 )
= 0.8 = 4/5
Answer:
4/5
Step-by-step explanation:
A baseball rolls off a 1.20 m high desk and strikes the floor 0.50m away from the base of the desk. how fast was the ball rolling?
Answer:
1.01 m/s
Step-by-step explanation:
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
t = Time
[tex]s_y[/tex] = Displacement in y direction = 1.2 m
[tex]s_x[/tex] = Displacement in x direction = 0.5 m
[tex]v_x[/tex] = Velocity in x direction
Displacement in y direction is given by
[tex]s_y=u_yt+\dfrac{1}{2}at^2\\\Rightarrow t=\sqrt{\dfrac{2s_y}{a}}\\\Rightarrow t=\sqrt{\dfrac{2\times 1.2}{9.81}\\\Rightarrow t=0.4946\ \text{s}[/tex]
[tex]s_x=v_xt\\\Rightarrow v_x=\dfrac{s_x}{t}\\\Rightarrow v_x=\dfrac{0.5}{0.4946}\\\Rightarrow v_x=1.01\ \text{m/s}[/tex]
The ball was rolling with a speed of 1.01 m/s.
32 is 20% of what number?
Answer: 160
Step-by-step explanation: 20% of 160 is 32. 100% of 160 is 160, therefore 20 percent of 160 equals 32.
Please help me with this math.
Answer:
Linear
Step-by-step explanation:
I hope this helps
fastttttttttt please a need the answer
Answer: It is the second one, third one, and last one
Step-by-step explanation:
A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 510 feet of fencing available to complete the job. What is the largest possible total area of the three pens?
Answer:
Step-by-step explanation:
4w + 2L = 670
2w + L = 335
L = 335 - 2w
Area A(w) = w(335 - 2w)
max occurs at the average of the solutions.
solutions are w=0 and w = 167.5
the average is 83.75
83.75 * (335 - 2 * 83.75) = 14028.125
OOOOOOOHHHHH WHHHEEEEEEEEEE
Answer:
Step-by-step explanation:
Rick
Answer:
Only thing I can think of is Lion King.
Step-by-step explanation:
=)
If aABC is reflected across the yaxis, what are the coordinates of A?
A(-2,-5)
B(-2,5)
C(-5,-3)
D(2,5)
Answer:
(-2, -5)
Step-by-step explanation:
Take (-2, 5) and flip it over the y- axis
(-2,-5)
Hope this helps :)
Please and thank you :))
Brady ordered chicken nuggets at McDonald's and was given 10 chicken nuggets by his friend. After eating half of them, Brady had 6 chicken nuggets left. How many did Brady order?
1) Define your variable:
2) Write an equation that models the relationship described:
3) Solve the equation:
A light aircraft Mies 345 km on 69 liters of fuel How much fuel is needed for a journey
of 470 km2
Select one
a 93 liters
6.94 liters
c. 95 mers
d 92 iters
e 96 mers
h
Next page
Answer:
94
Step-by-step explanation:
A car is traveling at a constant speed.It travels 3 1/2 miles in 5 1/4 minutes. How many minutes will it take the car to travel 70 miles
Answer:
The answer is 122 1/2 minutes.
Step-by-step explanation:
I got this answer by first subtracting 5.25-3.50=1.75 and that was how many minutes it took per mile then I multiplied 1.75x70=122.50 to get my answer.
If my answer is wrong im sorry this is my first one on this site.
The triangles are similar, and the angle bisectors are drawn from corresponding angles. what is the value of x?
Answer:
C. 6
Step-by-step explanation:
Given that both ∆s are similar, the ratio of their corresponding sides as well as the ratio of their angle bisectors would be the same.
Therefore, from the figure given, we have:
[tex] \frac{8}{x} = \frac{4}{3} [/tex]
Cross multiply
[tex] x*4 = 8*3 [/tex]
[tex] 4x = 24 [/tex]
Divide both sides by 4
[tex] x = \frac{24}{4} [/tex]
[tex] x = 6 [/tex]
How to workout 2 3/5 x 3 1/3
Answer:
26/3 or 8 2/3
Step-by-step explanation:
= 13/5 x 10/3
= 13 x 10
5 x 3
= 130/5
= 26/3
= 8 2/3
How many two-digit numbers are there that have 6 and 8 as factors
If you are saying only positive 6 and 8, then there is only ONE.
Which gives you 48.
But if you are sayin both positive and negative, then there is two, 48,-48.
Because you multiply -6,8.
Hope this helped you, and please consider marking branliest
The quadratic equation f(x)= x^2 has...
A. No zeros
B. Exactly one zero
C. Exactly two zeros
D. More than two zeros
E. None of the above
It has exactly two zeros .
f (x) = x^2 + 0x + 0 is it's extended form so I think the answre is number B.
when designing and writting questions for a survey , which of the following are issues that you need to pay attention to?
A. Wording of questions
B. Order of questions
C. Sensitive questions
D. All of the above
Answer:A
Step-by-step explanation:
For most people, health club membership expenses
Answer:
For most people, health club membership expenses are considered discretionary.
Step-by-step explanation:
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the standard deviation of the waiting time is 33 minutes. Find the probability that a person will wait for more than 88 minutes. Round your answer to four decimal places.
Answer:
Zero.
Step-by-step explanation:
The variable here is t where t is = time spent waiting in the line
The values for this variable and in this study, are normally distributed.
The mean waiting time = 55 minutes
The standard deviation = 33 minutes
What is the probability that t is greater than 88 minutes?
Now, the confidence interval about the mean for this study is:
[55-33], [55+33] = [22, 88]
Therefore, all values of t fall within this lower and upper limit or interval.
If that is the case, and recalling also that the distribution of values is normal, then it is impossible for t to be greater than 88 minutes.
Hence, P[t>88] = 0
To 4 decimal places, that would be 0.0000
Which equation is represented by the phrase “a number increased by three equals 10”
Answer:
The equation can be represented as:
x + 3 = 10
Answer:
X + 3 + 10
Step-by-step explanation:
A particularly long traffic light on your morning commute is green 17% of the time that you approach it. Assume that each morning represents an independent trial. Over 20 mornings, what is the probability that the light is green on exactly 4 day
Answer:
Step-by-step explanation:
Assuming that we are only trying to calculate the probability of the light being green ONLY on day 4 then it would be the exact same probability as every other day, which would be 17%. Now if we are trying to calculate the probability of the light being green on the first consecutive 4 days then we would need to multiply this probability (in decimal form) four times for the four days like so...
0.17 * 0.17 * 0.17 * 0.17 = x
0.00083521 = x ... times by 100 to get percentage
0.00083521 * 100 = 0.0835%
So the probability of the light being green 4 days in a row during your commute is 0.0835%
what is the square root of 90
Answer:
9.48
Step-by-step explanation:
trust me ik
Answer:
9.48683298051, and you can simplifiy to watever place value they tell you to.
Step-by-step explanation:
Good luck!
Russell threw 2,456,785 passes last season. This season he has thrown 54,452 more passes this year. How many passes has he thrown over the last two seasons?
Answer:
well, I'm not sure about the answer but I think it's 108904.
Step-by-step explanation:
Hope you have a wonderful day. Always be positive. ❤
What is the value of the expression when a = 4, b = 3 , and c = 10? 3a4b−c
Answer:
134
Step-by-step explanation:
(3 x 4) x (4 x 3) - 10
12 x 12 - 10
144 - 10
134