Answer:
The expected value of the ticket is -$1.10
Step-by-step explanation:
Here, we want to find the expected value of the ticket sales
We start by calculating the probabilities
The probability that someone wins the system is 1/2000
The probability that a person loses the system is 1999/2000
So the expected value will be;
(1/2000 * 1,800) - (1999/2000 * 2)
= 0.9-1.999 = -1.099
To the nearest cent, this is -1.10
write an equation in slope-intercept form of the line.
Find the value of x
1-79
2-65
3-86
4-72
Answer:
72°
Step-by-step explanation:
The measure of x is calculated by this formula
1/2×(difference of Intercepted Arcs)
1/2 × (252 - 108) = 72°
Given: PQ congruent to SR, PQR congruent to SRQ
Prove: PQR congruent to SRQ
Answer:
ΔPQR is congruent to ΔSRQ b the Side-Angle-Side rule of congruency [tex]{}[/tex]
Step-by-step explanation:
The two column proof is given as follows;
Statement [tex]{}[/tex] Reason
1. [tex]\overline {PQ}[/tex] ≅ [tex]\overline {SR}[/tex] [tex]{}[/tex] Given
2. ∠PQR ≅ ∠SRQ [tex]{}[/tex] Given
3. [tex]\overline {QR}[/tex] ≅ [tex]\overline {QR}[/tex] [tex]{}[/tex] By reflexive property
4. ΔPQR ≅ ΔSRQ [tex]{}[/tex] By SAS rule of congruency [tex]{}[/tex]
When two sides and an included angle of one triangle are congruent to the corresponding two side and an included angle of another triangle, both triangles are said to be congruent by the Side-Angle-Side SAS rule of congruency.
Being Human, Inc., recently issued new securities to finance a new TV show. The project cost $35 million, and the company paid $2.2 million in flotation costs. In addition, the equity issued had a flotation cost of 7 percent of the amount raised, whereas the debt issued had a flotation cost of 3 percent of the amount raised. If the company issued new securities in the same proportion as its target capital structure, what is the company's target debt-equity ratio
Answer:
0.3727
Step-by-step explanation:
From the given information
Total costs = Project cost + Flotation cost
Total costs = $35,000,000 + $2,200,000
Total costs = $37,200,000
Amount raised × (1 – fT) = Amount needed after flotation costs
$37,200,000 × (1 – fT) = $35,000,000
1 - fT = $35,000,000 / $37,200,000
1 - fT = 0.9409
fT = 1 - 0.9409
fT = 0.0591
wD + wE = 1
wD = 1 - wE
where;
wD = weight of debt
wE = weight of equity
WAFC = (wD × Debt's fT) + (wE × Equity's fT)
0.0591 = (wD × 0.03) + ( (1 - wD) × 0.07)
0.0591 = [wD × 0.03) + 0.07 - (wD × 0.07)
0.0591 - 0.07 = -(wD × 0.04)
-0.0109 = - (wD × 0.04)
wD = -0.0109 / -0.04
wD = 0.2715
wE = 1 - wD
wE = 1 - 0.2715
wE = 0.7285
The debt-equity ratio = wD / wE
The debt-equity ratio = 0.2715 / 0.7285
The debt-equity ratio = 0.3727
Two sailboats are traveling along the same path away
from a dock, beginning from different locations at the
same time. John's boat begins 20 miles from the dock and
is 55 miles from the dock after 5 hours. The distance of
Roberta's boat from the dock is represented by the
function y= 6x + 10, where x represents time and y
represents the distance from the dock.
Which boat was farther from the dock at the beginning, and which traveled
more quickly?
O A. Roberta's boat was farther from the dock at the beginning, but
John's boat trzeled more quickly
B. John's boat was farther from the dock at the beginning, and it
traveled more quickly
C. Roberta's boat was farther from the dock at the beginning and it
traveled more quickly.
D. John's boat was farther from the dock at the beginning, but
Roberta's boat traveled more quickly.
Answer:
B. John's boat was farther from the dock at the beginning, and it
traveled more quickly
Step-by-step explanation:
l did the test
The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly
What is distance?Distance is a numerical measurement of how far apart objects or points
What is Speed?The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time
At beginning John's boat was 20 miles from dock
After 5 hours its was 55 miles form the dock
Speed of the boat = Distance / Time
Speed = [tex]\frac{55-20}{5}[/tex]= 7 miles per hour
Robert boat is represented by the function
y=6x+10
at starting x=0
y = 10 miles away from the dock
After 5 hours x=5
y = 6×5+10
y=40 miles away from the dock
Speed of the Robert's boat = [tex]\frac{40-10}{5}[/tex]
Speed = 6 miles per hour
Hence, The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly
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5(2a + 7) - 10(3a + 4)
Help me
Jerri paid $4.50 for 5 oranges. If p represents the cost, in dollars, and n represents the number of oranges purchased, which equation best represent this relationship?
A. p= 0.9n
B. p= 4.50n
C. p = 1.11n
D. p =22.5n
Answer:
B
Step-by-step explanation:
help me with this please
Answer:
:-)
Step-by-step explanation:
An elephant walks 500 meters in 48 seconds. What is the elephants velocity?
A) 10.4 m/s
B) 0.096 m/s
C) 24,000
Answer:
A
Step-by-step explanation:
500meters/48 seconds = 10.8m/s
Velocity = m/s, so divide meters you have by seconds you have
Answer:
A) 10.4 m/s Hope it helped
Step-by-step explanation:
please try and answer as soon as possible!!!
The tables show the location of four cities relative to sea level. Which city is closest to sea level
A -0.25
B 7/4
C -3/2
D 0.5
Please help!!! I will mark brainless if you answer soon :)
Answer:
-0.25 because it is closest to sea level which is 0 feet.
Step-by-step explanation:
determine the type of triangle that is drawn below.
answer fast lol
Answer:
Isosceles Right
Step-by-step explanation:
The triangle has two sides with equal lengths, making it an isosceles triangle.
The triangle also has a 90° angle, making it a right triangle.
So, the triangle would be an isosceles right triangle.
Hope that helps.
Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother. What percent of the baseball cards did he give to his brother?
Answer:
85%
Step-by-step explanation:
Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother.
The number of baseball cards he gave to his brother is :
120 - 18 = 102 baseball cards
The percent of the baseball cards he gave to his brother is calculated as:
(Number of baseball cards given to his brother/ Total number of baseball cards) × 100
= 102/120 × 100
= 85%
The percent of baseball cards Evans gave his brother is 85%
PPPPLLLLZZZZZZ help and plz try
Answer:
Sorry but is it just me or I can't see a question or a photo?
Step-by-step explanation:
try to repost that question and I will help u :)
Slope = -1, y -intercept = 8
Answer:
y = - x + 8
Step-by-step explanation:
Assuming you require the equation.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 and c = 8 , thus
y = - x + 8 ← equation of line
can some one plzz help me??
The measure of angle JKL can be represented using the expression 3x + 5. Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees. What is the degree measure of Angle JKL? °
Answer: The answer is 65
Step-by-step explanation:
Answer:
The Answer To Your Math Question Is 65
Is 0.74 bigger or smaller than 3/4- ? Explain how you know.
Answer:
0.74 is smaller
Step-by-step explanation:
we know that 0.74 is smaller than 3/4 because if we made 3/4 int a decimal it would be 0.75, which is bigger than 0.74
Since 75% is greater than 74%, hence 0.74 is smaller than 3/4. This is determined by expressing them as percentages.
In order to determine whether 0.74 is bigger or smaller than 3/4, we will express them both as percentages as shown
0.74 as percentage will be 0.74 * 100 = 74%
For the given fraction 3/4;
= 3/4 * 100
= 300/4
= 75%
Since 75% is greater than 74%, hence 0.74 is smaller than 3/4. This is determined by expressing them as percentages.
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What is the equation on the line on this graph?
Answer:
y = 1
Step-by-step explanation:
Slope = 0 since it is a horizontal line.
y = mx + b is your slope intercept form.
m = slope
b = y-intercept
find b. in other words, when x = 0. We see that when x = 0, y = 1. Therefore, your b = 1.
put together your equation
y = mx + b
y = 0x + 1
therefore, y = 1 is your equation for the line on the graph
if the change in y is 3 t and x is 1 what is the rate of change?
Answer:
the x axis changes
Step-by-step explanation:
please help, brainliest, thanks, five star
Answer:
2(3x + 4)
Step-by-step explanation:
2 x 3x = 6x and 2 x 4 = 8
To solve the inequality x+y>2 , what step must be done
f(x)=1/2x+3; Find f(8)
Answer:
7
Step-by-step explanation:
1/2(8)+3
4+3
f(8)=7
What is the solution for 5x-7 = 5x
What is the equation of the line that passes through the point (5,0)and has a slope of -1?
Answer:
y=-1x+5
Step-by-step explanation:
Tomas has $45.00 to purchase favors for a party. If the favors are $3.75 each, how many favors can Tomas buy?
favors
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
35 POINTS PLEASE HELP!!!!!! Describe the two types of transformations that occur between function f and function g. (Use words like up, down, left, right, compression or stretch in your answer.)
Answer:
wheres the picture??
Step-by-step explanation:
Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it as a credit rather than as a debit. How will her check register compare to her monthly bank statement when she receives it? A. The balance in her check register will be $116 under the balance on her bank statement. B. The balance in her check register will be $58 under the balance on her bank statement. C. The balance in her check register will be $58 over the balance on her bank statement. D. The balance in her check register will be $116 over the balance on her bank statement.
The correct Statement is C) The balance in her check register will be $58 over the balance on her bank statement.
What Is a Bank Statement?A bank statement is a document (also known as an account statement) that is typically sent by the bank to the account holder every month, summarizing all the transactions of an account during the month. Bank statements contain bank account information, such as account numbers and a detailed list of deposits and withdrawals.
Given here: Kimberley accidentally recorded $58 bill in the credit section in her check register.
Thus the bank statement will read balance as $58 less than her register which accounted accidentally the bill in the credit section in instead of debit.
Hence, C) The balance in her check register will be $58 over the balance on her bank statement. is the final answer.
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determine if the triangles are similar. if so, give the scale factor
Answer:
B
Step-by-step explanation:
Evaluate the expression 3x + 2(y-4) when x = 10 and y = 7 (give answer as an integer
Answer:
36
Step-by-step explanation:
Given
3x + 2(y - 4) ← substitute x = 10 and y = 7 into the expression
= 3(10) + 2(7 - 4)
= 30 + 2(3)
= 30 + 6
= 36
What is the value of log5 125?
O 3
O 5
O 15
O 25
Answer:
I think C sorry if im worng <3
Answer:
=3
Step-by-step explanation:
log5 125= log5 5^3 (125=5^3)
=3 log5 5. (logx^y=ylogx)
=3x1=3. (Loga a=1)
=3