The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.
What is odds against?In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,
[tex]\text{odd against}=\dfrac{P(\overline A)}{P(A)}[/tex]
Here, [tex]P(\overline A)[/tex] is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.
A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,
[tex]P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}[/tex]
The probability of not winning is,
[tex]P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}[/tex]
Thus, the odd against the winning is,
[tex]\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2[/tex]
Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.
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Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $6,125. each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. all of the loans were subsidized. toby plans to pay off each loan in monthly installments, starting from his graduation. what is the total lifetime cost for toby to pay off his 4 loans? round each loan's calculation to the nearest cent. a. $7,904.04 b. $31,616.16 c. $10,393.82 d. $36,490.25 please select the best answer from the choices provided a b c d
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
What is a Loan?This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius of the circle to the nearest whole number
Answer: 11
Step-by-step explanation:
By the Pythagorean theorem, x is about 11 cm.
What is this equation called y=mx+b ?
(got another one removed)
Answer: it is called the slope intercept
Answer: Slope-intercept form
Step-by-step explanation:
The equation format of y = mx + b is slope-intercept.
-> m is the slope, or the steepness of the line
-> b is the y-intercept, or where the line intersects the y-axis.
I know the answer just need someone explain to me how to solve it
The logarithm of a quotient can be written as a difference of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)[/tex]
You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)[/tex]
To summarize,
[tex]\log_b(mn) = \log_b(m)+\log_b(n)[/tex]
[tex]\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)[/tex]
[tex]\log_b\left(m^n\right) = n \log_b(m)[/tex]
Solve for the variable
12 = r/6
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]\bold{12 = \frac{r}{6} } \\ [/tex]
let's take 6 to the other side ~
[tex] \\ \bold{\implies \: r = 12 \times 6} \\ \\ \implies \: \bold\pink{r = 72}[/tex]
hope helpful ~
Answer:
r=72
Step-by-step explanation:
multiply both sides by 6 —> 12x6=r/6x6
12x6=r
73=r
ur welcome :)
brainliest please?
What is the solution to this equation?
X- 17 = -5
Nine less than the product of 5 and a number is 6
[tex]let\ x\ be\ the\ number[/tex]
[tex]5x-9=6\\\\5x=15\\\\x=3[/tex]
I'm assuming you want the value of x
The gross weekly pay is $424. His earnings to date for the year total $11.700. What amount is deducted from her pay this week for social security, which is taxed at 6.4 percent?
A. $748.80
B. $0
C. $424
D. $25.44
E. $27.14
Answer:424
Step-by-step explanation:
i don't know how to explain it but this seems the most correct one, her weekly gross pay is 424 and taxes end up getting taken out of the paycheck not earnings.
Evaluate the expression.
Cd Express offers 4 CDs for $60. Music place offers 5 CDs for $75. Which store offers the better buy?
Answer:
Music place offers better buy with $12.50
Step-by-step explanation:
Explanation:
To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.
plsss help ill give brainiest
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
Area of RectangleThe area of a rectangle is given as the product between the length and it's width.
Data;
Length = 9inArea = 45in^2width = ?length 2 = 4inwidth 2 = 3in[tex]area = length * width[/tex]
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
[tex]a = 3 * 4 = 12in^2[/tex]
From the above calculations, we can see that the sheets are not similar as they have different areas.
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The principal would like to assemble a committee of 7 students from the 13-member
tudent council. How many different committees can be chosen?
Which of the following conditions would guarantee that triangles are identical?
Two triangles with the same angle measurements (Ex:both triangles have angles 35,65, and 90 degrees)
Two triangles have one angle the same and two sides the same measurement (Ex: both triangles have a 40 degree angle and two sides that are 7 and 9 cm
long)
Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Two triangles have two angles the same and one side length the same measurement (Ex: both triangles have angles 62 and 29 degrees and a side length of
10 cm)
2
Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Step-by-step explanation:
1) This would guarantee similarity, but not necessarily that they are identical.
2) The angle has to be included between the two sides, which is not specifed.
3) This would work (SSS congruence)
4) It is not specified if the side is opposite the corresponding angles.
Two people ran in a city election. The winner received 1 more than 3 times as many votes as the runner-up. Let w represent the number of votes the winner received. Let x represent the number of votes the runner-up received. The number of votes the runner-up received is known. Which equation represents the number of votes the winner received?
Answer:
w = 3x + 1
Step-by-step explanation:
Answer:
w=3x+1
Step-by-step explanation:
The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.
4. Five hamburgers and two French fries together contain 2160 calories, while four hamburgers and five French fries contain 2680 calories. What’s the calorie count in one hamburger and one pack of French fries?
Answer:
Hamburger is 320 calories. Pack of french fries is 280 calories
Step-by-step explanation:
Represent Hamburgers as H and pack of French Fries as P then set up the equations
5H+2P=2160
4H+5P=2680
Multiply the first equation by 5
25H+10P=10,800
Multiply the second by 2
8H+10P=5360
Subtract the first equation by the second
25H+10P=10,800
-
8H+10P=5360
=
17H=5440
H=320
One hamburger is 320 calories.
Plug in 320 for H
5(320)+2P=2160
1600+2P=2160
2F=560
F=280
One pack of french fry is 280 calories
Please help!!!!!
A coin is tossed on the board shown. Which is the probability that it will land in region II?
A. 75%
B. 45%
C. 55%
Answer: B
Step-by-step explanation:
The area of the entire rectangle is (10+30)(15+10) = 1000, and the area of region II is (30)(15)=450. Hence, the desired probability is 450/1000 = 45%.
4x-6+x+3 what is the value of x ?
Answer: [tex]5x-3[/tex]
Step-by-step explanation:
First, [tex]4x-6+x+3~ < --- Simplify ~the ~expression[/tex]
[tex]4x+x-6+3[/tex]
Add the numbers [tex]-6+3=-3[/tex]:
[tex]4x+x-3[/tex]
Add similar elements [tex]4x+x=5x[/tex]:
[tex]=5x+3[/tex]
Answer:
[tex]\boxed{\tt 5x−3}[/tex]
Step-by-step explanation:
[tex]\tt 4x−6+x+3 [/tex]
Combine 4x and x = 5x:-
[tex]\tt 5x−6+3[/tex]
Now, Add -6 and 3 = -3:-
[tex]\tt 5x−3[/tex]
- :)
(x + 14)
D
А
O
A. 38
B. 36
O C. 45
O D. 40
O E. 26
Find the value of x.
Answer:
sum of an exterior angle is 360
2x+56+85+57+4x=360
6x+198=360
6x=360-198
6x=162
x=162/6
x=27
Imagine a card game in which you have a 1 out of 10 chance of winning. If you win, you get $10. If you lose, you pay $2. What is the expected value of this game
Answer:
Pay [tex]\$0.8[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.
There are two possible values for [tex]X[/tex]:
[tex]X = 10[/tex] (receive [tex]\$10[/tex],) and[tex]X = -2[/tex] (pay [tex]\$ 2[/tex].)The probability of each value is:
[tex]P(X = 10) = (1 / 10) = 0.1[/tex] as given in the question.[tex]P(X = -2) = 1 - (1/10) = (9/10) = 0.9[/tex].The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:
[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].
The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].
(PLEAse someone help me!) (No links!)
Answer:
<4 = 67 degrees
Step-by-step explanation:
angle 1 + angle 4 makes 180 degrees so since angle 1 is 113 degrres
180-113=67
Hope it helps:)
3. Determine the 5-day SMA for the 10 consecutive-day closing prices for
Sherwin-Williams Co listed below.
$242.50 $273.98 $278.16 $293.94 $285.04
$290.80 S296.02 $291.01 $293.41 $286.85
The 5-day SMA for the 10 consecutive-day closing prices are:
Day 2-6=$284.384Day 2-6=$284.384Day 3-7=$288.792Day 4-8=$291.362Day 5-9=$291.256Day 6-10=$291.618 5-day SMA for the 10 consecutive-dayDay 1-5:
Day 1-5 =$242.50+$273.98+$278.16 +$293.94+ $285.04÷5
Day 1-5=$1,373.62÷5
Day 1-5=$274.724
Day 2-6:
Day 2-6=$273.98+ $278.16 +$293.94 +$285.04+$290.80÷5
Day 2-6=$1,421.92÷5
Day 2-6=$284.384
Day 3-7:
Day 3-7=$278.16 +$293.94+ $285.04+$290.80 +S296.02÷5
Day 3-7=$1,443.96÷5
Day 3-7=$288.792
Day 4-8:
Day 4-8= $293.94 +$285.04+$290.80+$296.02+ $291.01÷5
Day 4-8=$1,456.81÷5
Day 4-8=$291.362
Day 5-9:
Day 5-9=$285.04+$290.80+$296.02 +$291.01 +$293.41÷5
Day 5-9=$1,456.28÷5
Day 5-9=$291.256
Day 6-10:
Day 6-10=$290.80+$296.02+ $291.01 +$293.41+ $286.85÷5
Day 6-10=$1,458.09÷5
Day 6-10=$291.618
Therefore the 5-day SMA for the 10 consecutive-day closing prices are:
$284.384; $284.384; $288.792; $291.362; $291.256; $291.618.
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please help!!!!!!!!! This is Aleks
Answer:
For part A the price per pound is the same and for 50 $ it is 10 pounds.
Step-by-step explanation:
If you divide the price by the amount of tuna they will all have an answer of 5. so then you do 50 divided by 5 and get 10.
Please help me on this!
Order negative rational numbers from least (1) to greatest (5)
-3.75 -0.55 -3% -1/2 -1/5
Answer: From least to greatest, it goes: -3.75, -0.55, -1/2 -3%, -1/5
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
Answer:
Devin needs 8 cups of shampoo.
Step-by-step explanation:
The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo
What’s the answer????
it questions is my level very hard questions
Step-by-step explanation:
graph x axis
A cube has an edge length of 9 meters. What is its volume, in cubic meters?
Work Shown:
volume = side*side*side
volume = 9*9*9
volume = 729
A slight shortcut would be to say 9^3 = 729
A local children's author donated 1,055 books to
Homestead Elementary School. The school librarian
will distribute an equal number of books to each of
the 33 classes, and keep any that are left over in
the library. How many books will each class get?
Answer:
31 books
Step-by-step explanation:
1,055 ÷ 33 = 31.96
31 books
Question 1 (2 points)
You can prove two triangles are similar...
if they have three proportional sides
if they have two congruent angles
if they have a congruent included angle between two proportional sides
True or False
Answer:
true
Step-by-step explanation:
the answer is true hope it helps
