For a certain casino slot machine, the odds in favor of a win are given as 67 to 33. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is ___
Answers
Data:
• Odds in favor of a win are given as 67 to 33.
Procedure
• We have to find the total sample (,T,), which can be calculated as follows:
[tex]T=67+33=100[/tex]Then, to calculate the probability, we have to divide the odds in favor of a win by T.
[tex]\frac{67}{100}=0.67[/tex]Answer: 0.67
Related Questions
Rico drove 200 miles on 12 gallons of gas. How far
can he drive on 3 gallons of gas?
Gallons of cas
200
12
6
Answers
Answer:
50
Step-by-step explanation:
With an equation such as
200÷12 = 16.666, or 16+(2/3)
You are able to determine how many miles each gallon contributed to. With that, you can take
16 × 3 = 48
3 x 2
1 x 3
(done for the fraction)
6/2 is the outputted fraction, which translates into 2.
48 + 2 = 50
Josiah scored 63 points by collecting 3 coins. After collecting a total of 4 coins, how many points will Josiah have scored in all?
Answers
Answer: 84 points
Step-by-step explanation:
There are two ways I see that you can solve this.
In the first method, we can find the points per coin. To do this, we divide 63/3 and we get 21.
63/3=21
Now we know that in 1 coin, there is 21 points.
1 coin=21 points
Next, since we have to find the total amount of points in 4 coins. We multiply 21 by 4.
21*4=84 points
We do this because in 1 coin there is 21 points, and there is not 21 points in 4 coins. So when we multiply 21 and 4, we get 84 points, and 84 points is our answer.
----------------------------------------------------------------------------------------------------------
Another way you could do this would be to use cross multiplication. In cross multiplication, we would set up our work like this:
63/3=x/4 or in ratio way 3 : 63 = 4 : x
When you look at the ratio formation, you can easily tell that it says 3 to 63 is the same as 4 is to x. This can be written in the fraction formation, making it able for us to cross multiply. When we write it the fraction way, we write
63 x
____ = ____
3 4
With this, we do what the name says, we cross the numbers over and multiply, so we do 63*4=3*x
This way can be harder we have bigger numbers, but we can always simplify before multiplying, like in this case-
We can divide the 3 from both sides
63 * 4
_____ = x
3
From this we can simplify the 63 and 3, and so we would cancel out the 3 and would be left with 21*4=x
And this is the same equation we ended up with before.
So when we solve, we get 84=x and so the amount of points Josiah will have is 84 points.
how do I find all of the following that can be a counterexample for the statement below?
Answers
As we need to select counterexamples, we have to select all the options that make the statement x+2>7 a FALSE statement.
Then, we can rearrange:
[tex]\begin{gathered} x+2>7 \\ x>7-2 \\ x>5 \end{gathered}[/tex]We have to select all the options where x is NOT greater than 5: -2, 0, 3, 4.
The options -2, 0, 3, 4 have to be selected.
There is a line that includes the point (4, 6)
and has a slope of 1. What is its equation in
slope-intercept form?
Answers
Answer: y=x+2
Step-by-step explanation:
y-6=1(x-4)
y-6=x-4
y=x-4+6
y=x+2
7. My little sister wants to ride her tricycle. She jumps on and heads east for 1000 m before sheturns around and comes back to the west for 300 m before falling off. What is the distance mysister traveled? What is my sister's displacement?NES
Answers
First let's make the picture of the movement of the little sister:
The green line represents the first trip and the red line represents the trip back.
Since she traveled 1000m and then came back 300m, we have that:
[tex]1000m+300m=1300m[/tex]therefore, the little sister displaced 700 meters and she traveled 1300m
I dont understand the question
The dot plots show the distribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living.
Compare the two dot plots using the shape of the distribution, measures of center, and measures of variability. Use the situation described in the problem in your explanation.
Answers
Living species teeth is shorter than extinct species & large species teeth length is more concentrated.
Slope of the distribution:
For extinct species, the symmetric distribution
For living species, left -shaved distribution.
Measures of center:
For extinct species: mean = 3.02 cm
For large species: mean = 2.32 cm
Therefore living species teeth length is shorter than extinct species.
Measures of variability:
For extinct species: b = 6.015cm
For large species: b = 0.13 cm
Therefore large species teeth length is more concentrated.
Hence the answer is, living species teeth is shorter than extinct species & large species teeth length is more concentrated.
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For f(x) and g(x), describe each transformation. Then write the equation of the transformed function. f(x)=2x+1 g(x)=1/3x+2
I am haveing a very hard time figuring this out due to my dyscalculia
Answers
The transformation processes and equation of the transformed function are:
a) f(x) is translated in the negative y direction and the equation of the transformed function is f(x) = 2x - 4
b) g(x) is translated in the positive y direction and the equation is g(x) = 1/3x + 6
c) g(x) is dilated 3 times hat it as and the equation is x + 6
d) f(x) is dilated and the equation is x + 1/2
What is Dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
f(x) is translated by 5 units to the negative y-direction, so f(x) - 5 becomes 2x + 1 -5 = 2x - 4
g(x) + 4 means translation 4 units to the positive y-axis and the function g(x) + 4 becomes x/3 + 2 + 4 = x/3 + 6
3g(x) is dilation which means g(x) would be 3 times what it was initially.
3 x ( x/3 + 2) = x + 6
1/2f(x) is dilation which is a reduction by half. so the function becomes
1/2 x ( 2x + 1) = x + 1/2
In conclusion, the transformation processes are:
a) f(x) is translated in the negative y direction and the equation of the transformed function is f(x) = 2x - 4
b) g(x) is translated in the positive y direction and the equation is g(x) = 1/3x + 6
c) g(x) is dilated 3 times hat it as and the equation is x + 6
d) f(x) is dilated and the equation is x + 1/2
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Slove for y9/4y-12=1/4y-4
Answers
we have the expression
[tex]\frac{9}{4}y-12=\frac{1}{4}y-4[/tex]Solve for y
That means
Isolate the variable y
so
step 1
Multiply by 4 both sides to remove the fractions
[tex]9y-48=y-16[/tex]step 2
subtract y both sides
[tex]\begin{gathered} 9y-48-y=y-16-y \\ 8y-48=-16 \end{gathered}[/tex]step 3
Adds 48 both sides
[tex]\begin{gathered} 8y-48+48=-16+48 \\ 8y=32 \end{gathered}[/tex]step 4
Divide by 8 both sides
[tex]\begin{gathered} y=\frac{32}{8} \\ y=4 \end{gathered}[/tex]therefore
the value of y=4Use polynomial identities to factor the polynomial
25x^6-100y^4
Answers
Answer:
B. 4.
Step-by-step explanation:
And example of statistical and non-statistical questions
Answers
Let us start by looking at the difference between statistical and non statistical question.
For a statistical question. a single answer is usually impossible while a statistical question has a single answer.
If someone asks how old are you, the answer is simple and it is expected to be a single answer.
If the question is how old are the boys in your neighborhood, a single answer is not possible. The ages are different since some are older than the others. In this case, there is spread in the data. We would be considering looking for the average age of a given number of boys. We may also consider the spread of the ages and other parameters like range, median etc
A developer wants to subdivide a rectangular lot into square pieces. The lot is 600m by 2400m. What is the largest possible square? need answer asap
Answers
The largest possible square is of side 600m.
Given, a developer wants to subdivide a rectangular lot into square pieces. The lot is 600m by 2400m.
We have to find the largest possible square.
Now, to find the largest possible square we have to find the HCF of 600 and 2400.
As, the HCF of 600 and 2400 is
HCF(600 , 2400) = 600
So, the largest possible square can be of the side 600m
Hence, The largest possible square is of side 600m
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HELP QUICKLY THANK YOU!
Answers
Question 1(Multiple Choice Worth 2 points)
(Converting Between Systems MC)
For a craft project you need 182 inches of ribbon, but it is only sold by the meter. Determine the amount of ribbon, in meters, you need to buy for the project. (1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter)
462
47
12
5
Answers
Using the conversion method, 4.6228 meter ribbon we need for craft project.
In the given question,
For a craft project you need 182 inches of ribbon, but it is only sold by the meter.
We have to determine the amount of ribbon, in meters.
As given 1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter.
Firstly we know that inches, meters and centimeters all are units to measure the length.
Since we know that in 1 inch have 2.54 centimeters and 1 centimeters have 0.01 meter.
So we firstly convert the 2.54 centimeters in meter.
1 centimeter = 0.01 meter
2.54 centimeter = 2.54×0.01 meter
2.54 centimeter = 2.54×0.01 meter
2.54 centimeter = 0.0254 meter
So we can say that
1 inch = 0.0254 meter
We have to by 182 inches of ribbon. So
182 inches = 0.0254×182 meters
182 inches = 4.6228 meters
Hence, 4.6228 meter ribbon we need for craft project.
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what is the slope of a line that passes through the two points (8,3) nd (4,9)?
Answers
Given the points (8,3) and (4,9), we can find the slope of the line that passes through them with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, we have the following:
[tex]undefined[/tex]Write the equation in Slope-Intercept form that passes through the point (-4, -9) and has a slope of 1/12.
Answers
Answer:
[tex]y=\frac{1}{12}x-\frac{26}{3}[/tex]
Step-by-step explanation:
[tex]y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}[/tex]
Find the slope between the two points:(8,-1) and (-8,5)
Answers
Point 1 = (x1,y1)=(8,-1)
Point 2= (x2,y2)= (-8,5)
We have to apply the slope formula:
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]Replace with the coordinates given:
[tex]m=\frac{(5-(-1))}{(-8-8)}=\frac{(5+1)}{(-16)}=\frac{6}{-16}=-\frac{3}{8}[/tex]A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased as shown.
Answers
Answer:
You multiply 155 by 0.40 which is 40% and you get 62 then you add 62 to 155 and your final count of bacteria is 217
Step-by-step explanation:
A portion of a hiking trail slopes upward at about a 6° angle.To the nearest tenth of a foot, what is the value of x, thehiker's change in vertical position, if he has traveled a
Answers
In the given right triangle ABC
we have that
[tex]tan(C=\frac{AB}{AC}\text{ ----> by TOA}[/tex]substitute given values
[tex]\begin{gathered} tan(6^o)=\frac{x}{120} \\ \\ x=120*tan(6^o) \\ x=12.6\text{ ft} \end{gathered}[/tex]The answer is the option BChoć kulig hjchkxhkcgiciUPDATE to QUESTION
Answers
Student will kill the app and refuse to turn back to ongoing session
Session is in session history
Even though it's not finished yet
Student sees updates to Answer
But to see updates to Question he needs to kill the app
if two cubes have a ratio of 5:3, what is the ratio of their respective volumes? and if two cones have heights in the ratio d:c, what is the ratio of their respective volumes?
Answers
SOLUTION:
(a) We want to find the ratio of the volumes of the cubes,
5 x 5 x 5 = 125
3 x 3 x 3 = 27
125 : 27
(b) Since the two cones are similar, the ratio of the heights will be the same as the ratio of the radii, which means that the ratio of the volume will be;
[tex]d^{3\text{ }}\colon c^3[/tex]if a || b, m<2=63°, and m<9=105°, find the measure of missing angle m<1=?
Answers
Given:
a.) ∠9 = 105°
b.) ∠2 = 63°
Step 1: Determine the measure of ∠10.
∠9 and ∠10 are Supplementary Angles. This means that the sum of the two angles is equal to 180°.
From this, we generate the following equation:
[tex]\text{ }\angle9\text{ + }\angle10=180^{\circ}[/tex]Let's then now proceed to find out the measure of ∠10.
[tex]\text{ }\angle9\text{ + }\angle10=180^{\circ}[/tex][tex]\text{ }105^{\circ}\text{ + }\angle10=180^{\circ}[/tex][tex]\angle10=180^{\circ}\text{ - }105^{\circ}[/tex][tex]\angle10=75^{\circ}[/tex]Step 2: Determine the measure of ∠3.
∠10 and ∠3 are Alternate Exterior Angles. Under this, the two angles must be congruent.
[tex]\text{ }\angle3\text{ = }\angle10[/tex]Therefore,
[tex]\text{ }\angle3\text{ = }\angle10[/tex][tex]\text{ }\angle3=75^{\circ}[/tex]Step 3: Determine the measure of ∠1.
∠1, ∠2 and ∠3 are also Supplementary Angles. This means that the sum of the three angles is equal to 180°.
Thus, we generate the equation below:
[tex]\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}[/tex]Let's now find the measure of ∠1,
[tex]\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}[/tex][tex]\text{ }\angle1\text{ + }63^{\circ}\text{ + }75^{\circ}=180^{\circ}[/tex][tex]\text{ }\angle1\text{ + }138^{\circ}=180^{\circ}[/tex][tex]\text{ }\angle1\text{ }=180^{\circ}\text{ - }138^{\circ}[/tex][tex]\text{ }\angle1\text{ }=42^{\circ}[/tex]Therefore, the measure of ∠1 is 42°.
Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 4 hours. Working alone, it takes the slower worker 15 hours longer to do the job than the faster worker. How long does it take each to do the job alone?.
Answers
The slower worker takes 20 hours and faster worker takes 5 hours to complete the job .
In the question,
it is given that ,
two secretaries stuff the envelopes for a political fund-raising letter in 4 hours .
let the time taken by fast worker to complete the job be x hours .
the slower worker takes 15 hours longer to do the job than faster worker
So , the time taken by slow workers to complete the job will be (x+15) hours .
the amount of work done by faster worker in 1 day = 1/x
the amount of work done by slower worker in 1 day = 1/(x+15)
total work done by both in 1 day = 1/x + 1/(x+15)
their combined 1 day work will be equal to 1/4 .
The equation representing is
1/x + 1/(x+15) = 1/4
(x+15+x)/(x²+15x) = 1/4
(2x+15)/(x²+15x) = 1/4
4(2x+15) = x²+15x
8x + 60 = x²+15x
x² + 15x - 8x - 60 = 0
x² + 15x - 8x - 60 = 0
x² + 7x - 60 = 0
x² + 12x - 5x - 60 = 0
x(x+12) -5(x+12) = 0
(x-5)(x+12)=0
we get x -5 = 0 or x+12=0
x = 5 or x = -12 .
the time cannot be in negative ,
So , fast worker to complete the job in = 5 hours
slow worker to complete the job in = 20 hours
Therefore , The slower worker takes 20 hours and faster worker takes 5 hours to complete the job .
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Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
OA. There can be no term whose degree is higher than 2.
OB. The coefficient of the x-term can't be zero.
OC. One side of the equation must be zero.
OD. The coefficient of the x-term must be positive.
Answers
Answer:
A
Step-by-step explanation:
you can answer quadratic equations with a degree above 2
need some help pls due date 10pm
thanks to whoever answers
Answers
Answer:
x = 90°
y = 20°
z = 20°
Step-by-step explanation:
Each interior angle of a square is 90°.
Angles on a straight line sum to 180°.
Angle x
⇒ 90° + x = 180°
⇒ 90° + x - 90° = 180° - 90°
⇒ x = 90°
Angle z
⇒ z + 90° + 70° = 180°
⇒ z + 160° = 180°
⇒ z + 160° - 160° = 180° - 160°
⇒ z = 20°
Interior angles of a triangle sum to 180°.
Angle y
⇒ x + 70° + y = 180°
⇒ 90° + 70° + y = 180°
⇒ 160° + y = 180°
⇒ 160° + y - 160° = 180° - 160°
⇒ y = 20°
What is the total surface area ratio of following similar solids?30 mi45 mi60 mi90 mi09:4O 15:6O 5:4O 3:2
Answers
Solid A has five(5) rectangular blocks that are co-joined. The dimension of each, is 45miles by 90miles.
Thus,
[tex]\begin{gathered} Total\text{ surface area=5}\times Area\text{ of one rectangular block} \\ \text{Total Surface Area=5}\times(45\times90) \\ T\mathrm{}S\mathrm{}A=5\times4050 \\ T\mathrm{}S\mathrm{}A=20250mi^2 \end{gathered}[/tex]Solid B has five(5) rectangular blocks that are co-joined. The dimension of each, is 30mi by 60mi.
Thus,
[tex]\begin{gathered} \text{Total Surface Area= 5}\times Area\text{ of one rectangular block} \\ T\mathrm{}S\mathrm{}A=5\times(30\times60) \\ T\mathrm{}S\mathrm{}A=5\times1800 \\ T\mathrm{}S\mathrm{}A=9000mi^2 \end{gathered}[/tex]The ratio of the T.S.A of the similar solids is given below:
[tex]\begin{gathered} T\mathrm{}S\mathrm{}A_{solid\text{ A}}\colon T.S.A_{solid\text{ B}} \\ 20250\colon9000 \\ \text{Divide both by 2250, we have:} \\ 9\colon4 \end{gathered}[/tex]Hence, the correct option is Option A
Solve for x
-34>5x-4 or 5x-4 ≥-9
Need this asap please
Answers
Answer: −33.5 or - 67x over 2 -4
i might be wrong
Step-by-step explanation:
find the image of (-2,-9) after a reflection over the y-axis
Answers
Angela and Barry share a piece of land. The ratio of the area of Angela’s portion to the
area of Barry’s portion is 3:2. They each grow corn and peas on their piece of land. The
entire piece of land is covered by corn and peas in the ration 7:3. On the Angela’s portion
of the land, the ratio of corn to peas is 4:1. What is the ratio of corn to peas for Barry’s portion?
(A)11:9 (B)2:3 (C)3:2 (D)3:7 (E)1:4
Answers
Answer:
3:2
Step-by-step explanation:
Angela + Barry = land
7 corn + 3 peas = land
4 corn + 1 peas = Angela
land = land
Angela + Barry = 7 corn + 3 peas
4 corn + 1 peas + Barry = 7 corn + 3 peas
Barry = 7 corn + 3 peas - 4 corn - 1 peas
Barry = 3 corn + 2 peas
Barry = 3:2
The ratio of corn to peas for Barry's portion is 3:2. Hence, option C is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data given in the question,
Angela + Barry = land
7 corn + 3 peas = land
4 corn + 1 peas = Angela
land = land
Angela + Barry = 7 corn + 3 peas
4 corn + 1 peas + Barry = 7 corn + 3 peas
Barry = 3 corn + 2 peas
Barry = 3:2
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help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
if the local rate for electrical service is 6cents per kilowatt-hour how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
Answers
Given:
The local rate for electrical service is 6 cents per kilowatt-hour.
We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
From the table:
The cost of using a dishwasher 4 times per week = $29
The cost of using a dishwasher 6 times per week = $44
So, the saving will be = 44 - 29 = 15
So, the answer will be $15