Answer:
A) The probability that Kevin will win the spring break cruise is 0.42%.
B) Kevin's expected earnings are $ 8.4.
C) Kevin effectively contributed with $ 50.
Step-by-step explanation:
Since the college student senate is sponsoring a spring break Caribbean cruise raffle, and the proceeds are to be donated to the Samaritan Center for the Homeless, ya local travel agency donated the cruise, valued at $ 2000, and the students sold 2357 raffle tickets at $ 5 per ticket, to determine A) if Kevin bought ten tickets, what is the probability that Kevin will win the spring break cruise to the Caribbean; B) Kevin's expected earnings and C) how much did Kevin effectively contribute to the Samaritan Center for the Homeless; the following calculation must be performed:
A) 10/2357 = 0.0042 x 100 = 0.42
Therefore, the probability that Kevin will win the spring break cruise is 0.42%.
B) 2000 x 0.0042 = 8.4
Therefore, Kevin's expected earnings are $ 8.4.
C) 5 x 10 = 50
Kevin effectively contributed with $ 50.
A square-based tent covers an area of 64 square feet. What is the length of one side of the tent?
Answer:
8 feet
Step-by-step explanation:
A square's area can be expressed as l², with l representing one side of the tent. Therefore, as our area is 64, we can say that 64 = l². Taking the square root of both sides, we get that √64 = l, and l = 8 feet
help me find the answer
Answer:
? = 9.4 cm
Step-by-step explanation:
we do the full calculation, as the missing side length is simply the full perimeter minus all the other sides (as the perimeter is the sum of all side lengths).
? = 113.6 - 39.8 - 5.6 - 5.6 - 11.1 - 11.1 - 11.1 - 19.9 = 9.4 cm
What is the measure of AngleCAB?
Answer:
52
Step-by-step explanation:
answer is in photo above
Answer:
52
Step-by-step explanation:
step-by-step explanation is a c and b is 52
ВС
2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above
9514 1404 393
Answer:
21.75 m
Step-by-step explanation:
The given relations tell us that ...
VW = TV +3
TW = VW +TV -19
VW +TW +TV = 62
__
Solving the first equation for TW gives ...
TV = VW -3
Substituting that into the second equation gives ...
TW = 2VW -22
And using these expressions in the third equation, we have ...
VW +(2VW -22) +(VW -3) = 62
4VW = 87 . . . . . . . . collect terms
VW = 21.75 . . . . . . divide by 4
The length of VW is 21.75 meters.
A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two solids?
A. The area of the cross-sections of the prisms are multiples of each other.
B. The cross-sections of the prisms are the same shape. C. The horizontal cross-sections of the prisms at the same height must have the same area.
D. The vertical cross-sections of the prisms at the same width must have the same area.
Answer:
B
Step-by-step explanation:
vì công thức diện tích cảu 2 lăng trụ giống nhau và hình dạng cũng vậy
A rectangle is measured 6.5 cm by 7.8 cm .
If its actual area is 52.4 square cm , find the percentage error in the area.
Answer:
3.24%
Step-by-step explanation:
Percentage error =[ (|calculated value - actual value) / actual value] x 100
calculated area = length x width
6.5 x 7.8 = 50.7
[(|50.7 - 52.4|] / 52.4] x 100 = 3,24
Please help I dont understand
Answer:
0
Step-by-step explanation:
f(x) = cos 3x
Let x = pi /6
f( pi /6) = cos (3pi/6)
cos (pi/2)
0
As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you have 8 time slots, how many ways can you create the schedule for the week?
Answer:
You can create the schedule for the week in 19,958,400 ways.
Step-by-step explanation:
The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many ways can you create the schedule for the week?
8 shows from a set of 12. So
[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400[/tex]
You can create the schedule for the week in 19,958,400 ways.
DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent
Answer:
The APR of the loan was 18.30%.
Step-by-step explanation:
Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:
3,000 = 100
(73.94 x 48) = X
3,000 = 100
3,549.12 = X
3,549.12 x 100 / 3,000 = X
354,912 / 3000 = X
118.30 = X
118.30 - 100 = 18.30
Therefore, the APR of the loan was 18.30%.
6) 113 = -7 - 8m
please help!
9514 1404 393
Answer:
m = -15
Step-by-step explanation:
Given:
113 = -7 -8m
Solution:
120 = -8m . . . . . add 7 to both sides of the equation
-15 = m . . . . . . . divide both sides by -8
I’ll give brainliest to the first answer
Answer:
52
Step-by-step explanation:
4 1/2 x + 2x
Let x = 8
4 1/2 (8) + 2(8)
Change to an improper fraction
9/2(8) +2(8)
36+16
52
Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant
Answer:
the answer is 2.3
Step-by-step explanation:
bc if u take the square root of 2.3 it would be 1.516575089 in the decimal form then u multiply it by that decimal and get 2.3. hope this help
Answer:
2.3
Step-by-step explanation:
[tex]\sqrt{2.3}[/tex] * [tex]\sqrt{2.3}[/tex]
it means
[tex](\sqrt{2.3})^2[/tex]
root and square gets cancel so,
2.3
En una escuela hay 200 estudiantes. Si la razón entre hombres estudiantes y mujeres
estudiantes es de 3:5, ¿cuántos estudiantes son hombres y cuántas son mujeres?
Answer:
75 hombres y 125 mujeres
Step-by-step explanation:
lo siento, yo no hablo español bien
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?
Answer:
382.925 feets
Step-by-step explanation:
The solution diagram is attached below :
Converting radian measurement to degree :
radian angle * 180/π = degree angle
1.2 * 180/π = 68.755°
0.9 * 180/π = 51.566°
Height of dam is h:
Using trigonometry :
Tan θ = opposite / Adjacent
Tan 68.755° = h / x
h = x Tan 68.755° - - - (1)
Tan 51.566° = h / (155+x)
h = (155+x) tan 51.566° - - - (2)
Equate (1) and (2)
x Tan 68.755 = (155+x) Tan 51.566
x Tan 68.755 = 155tan 51.566 + x tan 51.566
x Tan 68.755 = 195.32311 + x Tan 51.566
x Tan 68.755 - x Tan 51.566 = 195.32311
x(tan 68.755 - tan 51.566) = 195.32311
x * 1.3120110 = 195.32311
1.3120110x = 195.32311
x = 195.32311 / 1.3120110
x = 148.87307
Using :
h = x Tan 68.755
h = 148.87307 * tan(68.755)
h = 382.92539
h = 382.925 feets
plz help math i ned to math
how much oak planks are made with one oak log in cwaft mine
Answer:
4
Step-by-step explanation:
Which number's estimate written as a single digit times a power of 10 will have a negative exponent?
help help help help he
Answer:
is the answer 2
Step-by-step explanation:
is that be happy
Answer: 2
Step-by-step explanation:
the answer is two
please help me with this question.
Answer:
I think it's 18.1539073013
i'm not sure sorry
Which equation can be simplified to find the inverse of y = 2x2
Answer: d
Step-by-step explanation:
edge 2020
Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5
Answer:
(2,1)
Step-by-step explanation:
-3x + 7 = -2x + 5
x = 2
y = -6 + 7
y = 1
Answer:
(2,1)
Step-by-step explanation:
Remark
One thing you need to remind yourself of: The y value in both equations must be the same.
That means that the two right hand values are
-3x + 7 = - 2x + 5 Subtract 5 from both sides.
-5 -5
-3x + 2 = - 2x Add 3x to both sides
+3x +3x
2 = x
Now use one of the equations to solve for y
y = -2x + 5
y = -2(2) + 5
y = - 4 + 5
y = 1
We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.
Help help help help help
At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the regular cost is saved by renting a movie on a Tueday
Answer:
16%
Step-by-step explanation:
To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333 converted into a percentage is approximately 16%.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")
I need about 2 of these but pls explain so I can learn and try on my own pls
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
Your roommate asks to borrow $500 and agrees to pay it in 45 days with interest rate of 4%. How much interest will you earn?
Answer:
$20
Step-by-step explanation:
500 x .04 = 20
y+4x=7 find the missing coordinates for a(-3,) and b (5,)
Answer:
-3 1
Step-by-step explanation:
Same just bought 9 bags of 13 cookies in a jar. How many cookies does Sam have now?
Answer:
123 cookies
Step-by-step explanation:
He got 9*13 cookies, and had 6 already, so 9*13 + 6
9*13 = 117, plus 6 is 123
A man bought an item for#5000 and sold it at a loss of 25%. how much did he sell it?
Answer:
1250 dollars lost :(
and gained 3750 dollars
Step-by-step explanation:
one/ fourth of 5000 is 1250 just as 500000 is one fourth of 125000
A box of 20 chocolates, 4 are cream-filled. What is the probability of randomly selecting a cream-filled chocolate?
A. 4/18 ≈ 22%
B. 4/20 = 20%
C. 4/16 = 25%
D. 16/20 = 80%
Answer:
the correct choice is B
Step-by-step explanation:
4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%
The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.
ProbabilityProbability is the ratio of the fovourable outcome to the total outcomes.
Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.
How to find the probability?Favourable number of outcomes is cream-filled chocolate i.e., [tex]4[/tex]
Total number of outcomes are [tex]20[/tex]
Probability of randomly selecting a cream-filled chocolate is-
[tex]P=\dfrac{4}{20}\times 100\\ \text { }=20\%[/tex]
As a result, option B is the correct answer.
#SPJ2
A statistics teacher found that the average quiz score in her class is 86%, and the average test score in her class is 81%.
Which of the following is the best way to represent this data?
A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units
B. using a square with a side length of 86 units and a square with a side length of 81 units
C. using a pie chart with one section labeled 86% and one section labeled 81%
D. using a cube with a side length of 86 units and a cube with a side length of 81 units
Answer:
A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units
Step-by-step explanation:
Took the quiz. The usual.
The optimal method to represent this data is with a "bar graph", with one bar 86 units long and the other 81 units long. which is the correct answer that would be an option (A).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The best way to represent this data is using a "bar graph" where one bar has a length of 86 units and one bar has a length of 81 units.
This is because a bar graph is used to compare the sizes of different data points, and the length of each bar represents the value of the data point.
In this case, the average quiz score is 86% and the average test score is 81%, so the length of the bar representing the quiz score would be longer than the length of the bar representing the test score.
Thus, Option A correctly describes the use of a bar graph to represent the data, so it is the correct answer.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
what is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?
Answer:
Step-by-step explanation:
E(-1,6) & F(-2,-10)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\[/tex]
[tex]=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16[/tex]
Slope of the line perpendicular to this line = -1/m = -1/16