Step-by-step explanation:
340 people ÷ 45 per bus = number of busses.
340÷45=7.555555555
7 full busses
45 people × 7 busses = 315 people with seats
340 people total - 315 people with seats = 25 people left
answer A. 8 busses with 25 on last bus.
There will be 8 busses needed with 25 on last bus. so option A is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given; There will be 340 people on a school trip to Washington, D.C.
Each school bus holds 45 people, and all the buses will be filled except for the last bus.
So, 340 people ÷ 45 per bus = number of busses.
340÷45 = 7.555555555
The numebr of buses = 7 full busses
Then, 45 people × 7 busses = 315 people with seats
340 people total - 315 people with seats = 25 people left
Hence, There will be 8 busses needed with 25 on last bus. so option A is correct.
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I Need Help! 50pts. Write a paragraph explaining how to graph and find the reference angle for the 435° angle on the unit circle.
Answer:
0° to 90°: reference angle = angle ,
90° to 180°: reference angle = 180° - angle ,
180° to 270°: reference angle = angle - 180° ,
270° to 360°: reference angle = 360° - angle .
Step-by-step explanation:
Definition of Reference Angle: Let θ be a non-quadrantal angle in standard position. The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis. If θ is in QI, θR = θ If θ is in QII, θR = 180° – θ or π – θ If θ is in QIII, θR = θ – 180° or θ – πThe reference angle of 240° is 60°. To find the reference angle of a given angle, A, with measure x°, we start by adding or subtracting. You can see that the terminal side of the 135° angle and the x-axis form a 45° angle (this is because the two angles must add up to 180°). This 45° angle, shown in red, is the reference angle for 135°.
what is bigger -1/2 or -7/10
Answer:
-1/2
Step-by-step explanation:
-1/2 is -0.5
-7/10 is -0.7
-0.5 is closer to 0 which means it is greater than -0.7
Write the equation for the function graphed above
g(x)=
-(x+1)^2 + 3
move 3 units up, 1 unit to the left, and a reflection from x^2.
A group of students organized a car wash to raise
money for a local charity. The students charged $5.00
for each car they washed. In 3 hours, they washed 15
cars. At that rate, how much money could they earn
from washing cars for eight hours?
Answer:
Answer is 160.00
Step-by-step explanation:
*proportion*
3hours/12cars
8hours/ (x) cars
X=32
Answer:
I think they would earn $40 buckeroos in 8 hours
Step-by-step explanation:
$5.00 x 8 hours = $40.00
I hope this was right & helpful ^w^
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x + 5, y – 3)
Step-by-step explanation:
Refer to a graph. It helps.
Up = +
Down = -
Right = +
Left = -
Answer:
actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)
Step-by-step explanation:
got 100% on my e2020 unit test! ;D
can someone please help me with this (due today)
For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women
Answer:
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we need to know the combinations formula and conditional probability.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Event A: Contains both men and woman
Event B: Consists of two men and 1 woman.
Probability of containing both men and woman:
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So
[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]
Intersection of events A and B:
Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9).
[tex]D = C_{6,2}*C_{9,1} = 135[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Let X be a random variable with probability mass function P(X = 1) = 1 2 , P(X = 2) = 1 3 , P(X = 5) = 1 6 (a) Find a function g such that E[g(X)] = 1 3 ln(2) + 1 6 ln(5). Your answer should give at least the values g(k) for all possible values k of X, but you can also specify g on a larger set if possible. (b) Let t be some real numb
The question is incomplete. The complete question is :
Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.
(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)
Solution :
Given :
[tex]$P(X=1)=\frac{1}{2}, P(X=2)=\frac{1}{3}, P(X=5)=\frac{1}{6}$[/tex]
a). We know :
[tex]$E[g(x)] = \sum g(x)p(x)$[/tex]
So, [tex]$g(1).P(X=1) + g(2).P(X=2)+g(5).P(X=5) = \frac{1}{3} \ln (2) + \frac{1}{6} \ln(5)$[/tex]
[tex]$g(1).\frac{1}{2} + g(2).\frac{1}{3}+g(5).\frac{1}{6} = \frac{1}{3} \ln (2) + \frac{1}{6} \ln (5)$[/tex]
Therefore comparing both the sides,
[tex]$g(2) = \ln (2), g(5) = \ln(5), g(1) = 0 = \ln(1)$[/tex]
[tex]$g(X) = \ln(x)$[/tex]
Also, [tex]$g(1) =\ln(1)=0, g(2)= \ln(2) = 0.6931, g(5) = \ln(5) = 1.6094$[/tex]
b).
We known that [tex]$E[g(x)] = \sum g(x)p(x)$[/tex]
∴ [tex]$g(1).P(X=1) +g(2).P(X=2)+g(5).P(X=5) = \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$[/tex]
[tex]$g(1).\frac{1}{2} +g(2).\frac{1}{3}+g(5).\frac{1}{6 }= \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$$[/tex]
Therefore on comparing, we get
[tex]$g(1)=e^t, g(2)=2e^{2t}, g(5)=5e^{5t}$[/tex]
∴ [tex]$g(X) = xe^{tx}$[/tex]
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer: 6,6. 12,18. 18,6
Step-by-step explanation:
cause I got it right..
The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given graph has a triangle ABC.
The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)
We have to find the coordinates of triangle ABC after a dilation with scale factor 3.
Dilation is the scaling of an object, where it gets bigger or smaller
Now the coordinates after dilation are A'(6,6)
B'(12, 18)
C'(18, 6)
Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
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valor de la pendiente y de la ordenada al origen de y = −2x − 1
Answer:
pendiente = -2, y intersection = -1
Step-by-step explanation:
la pendiente es -2 y origen de la y es -1.
Three friends want to share 1/4 pound of chocolate. If they cut the chocolate into equal pieces,how much does each piece of chocolate weigh, in pounds
Answer:
I gotchu its 1/12
Step-by-step explanation:
I think the answer is 1/12 bc...
Keep change flip so
1/4÷3=?
is now...
1/4 keep
÷ is now x (division changes to multiplication)
3 is a whole number an that can turn into 3/1 which flipped is 1/3
The equation is 1/4 x 1/3
1/4 x 1/3 = 1/12
The answer is 1/12
Hope this helped :)
Posted on: 2-24-2021 at 8:37am
Positive quote of the day:
“Every day may not be good... but there's something good in every day.”
A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 2.5 feet above the base of the building.
Approximately, how long is the ramp?
A. 0.65 feet
B. 2.59 feet
C. 9.33 feet
D. 9.66 feet
Answer:
Step-by-step explanation:
[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]
An electrician is told to cut a piece of conduit to 11 and 3/4”. What would the decimal equivalent be?
A) 11.50
B) 11.75
C)11.25
D)11
Answer:
b) 11.75
Step-by-step explanation:
each quarter is equal to .25 so 3×.25 is .75
Choose the equation that has m=5 as the solution.
Answer:
10 + m = 15
Step-by-step explanation:
m = 5
pienso un numero .cuando le sumo 25 obtengo 23 ¿cual es ese numero.?..
pienso en un numero. cuando le sumo obtengo 1026. ¿cual es el numero?...
pienso en un numero. cuando le resto 9 obtengo 16. ¿cual es ese numero?...
pienso en un nuemero. cuando le resto 570 obtengo 425. ¿cual es el numero?...
pienso en un numero. cuando le sumo 12 y le resto 15 obtengo 23 ¿cual es ese numero?...
pienso en un numero. cuando le resto 6 y le sumo 7 obtengo 22. ¿cual es ese numeo?...
pienso un numero. cuando lo multiplico por 5 obtengo 35. ¿cual es ese numero?...
pienso en un numero. cuando lo multiplico por 3 obtengo 45. ¿cual es ese numero?...
pienso en un numero. cuando lo multiplico por 3 y le sumo 12 obtengo 114. ¿cual es ese numero?...
el triple de un numero es igual 96. ¿cual es ese numero?...
el triple de la edad de mario es igual a la de su papa tiene 18 años. ¿que edad tiene mario?...
porfavor rapido...
Answer:
creo que es 15
Step-by-step explanation:
Answer:
can u translate for english?
Step-by-step explanation:
I can't understand
biked 4 ½ miles today, and biked 6 ¾ miles. How many times further did bike compared to ’ ride? SHOW YOUR WORK.
Answer: 2 1/4
Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4
If 30 ounces of cereal costs $2.49, what is the cost per
ounce?
Answer:
the answer .08
Step-by-step explanation:
Answer:
0.08
Step-by-step explanation:
2.49 divided by 30 gives you 0.08 so it's 8 cents per ounce
I need help really really bad
Answer:
dont we all
Step-by-step explanation:
did u figure it out by now? comment down
Step-by-step explanation:
ellen had 25 hair clips.7 of them and the rest were purple , what precent of the hair clips were blue,what percent of the hair clips were purple
Pls helppp
Answer:
7/25. then do 25-7. take that answer and divide by seven
Step-by-step explanation:
also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator
A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?
Answer:
[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]
General Formulas and Concepts:
Math
Dimensional AnalysisPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Angular Speed: 2π rad per revolutionStep-by-step explanation:
Step 1: Define
68 revolutions per minute
Step 2: Identify Conversions
2π rad per revolution
60 seconds = 1 minute
Step 2: Convert
[DA] Set up: [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]: [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
Answer:
Step-by-step explanation:
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
the answer, 6.86
Simplify ((–3)2)3. Question 4 options: A) (–3)5 B) (–3)3/2 C) (–3)6 D) (–3)2/3
11. Which of the following sets of number is not a Pythagorean triple?
A. 9-40-41
B. 9-12-15
C. 5-12-13
D. Not Here
Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3),C(0, -2), and D(-5, -2): k = 3
Answer:
A(-12,3)
B(-6,9)
C(0,-6)
D(-15,-6)
Step-by-step explanation:
So this is called dilations and i'm fairly new at it but how it works is you multiply the starting points by what k equals so that's how you get the answer.
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
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Answer:
Number of candies with Ian = 4
Step-by-step explanation:
Let Ian has [tex]x[/tex] candies.
Number of candies with Jason = [tex]3x[/tex]
Number of candies with Shawn = [tex]4(3x)=12x[/tex]
Total number of candies = 64
So,
[tex]x+3x+12x=64\\16x=64\\x=4[/tex]
Therefore,
Number of candies with Ian = 4
Find the distance between (6, -2) and (1, -2).
Answer:
it is 5 units
Step-by-step explanation:
All you have to do for this one is subtract 6-1 which equal 5 units. This only works in this one because is says at the end -2 on both the numbers.
Tyce makes $9.55 per hour and worked 28 hours last week. He also makes 15% commission on the $300 of
sales he made last week. How much did he make in total for last week?
Answer:
$312.40
Step-by-step explanation:
First, multiply his salary per hour by the hours he worked. (9.55 x 28 = 267.4)
Then, find 15% of 300. (300 / 0.15 = 45)
Now add the two numbers together!
267.4 + 45 = 312.40
write the simplest form of the ratio 14:16:8
The bakery made 89 donut. Seventeen were chocolate, 23 were maple, and the rest were plaint glazed. How many plain donuts did the bakery make ?
Answer:
59 plain donuts
Step-by-step explanation:
17 chocolate+23 maple=40 in total
89-40=59
59 plain donuts
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
The perimeter of the parallelogram shown is 244 inches. The
difference between the lengths of the sides is 20 inches. Assuming 2x+3y is the longest side, find the length of each side.
A. 16 inches, 13 inches
B. 66 inches, 56 inches
C. 71 inches, 51 inches
D. 74 inches, 54 inches
Answer:
9..........................................................
Step-by-step explanation: