Answer: I believe it is Rational.
bowl 1 has 5 red and 5 green balls. bowl 2 has 6 red and 4 green balls. a bowl is selected at random and a ball is drawn at random. it turns out to be g. what is the probability that it came from bowl 2?
The probability that a green ball is chosen from bowl two is 4/9 using Baye's Theorem.
Let M be the event that the ball is green.
Let A be the event that the ball is drawn from bowl one and event b from bowl two.
Bowl one has 5 red balls and 5 green balls. And bowl two has 6 red balls and 4 balls.
Total number of red balls = 5 + 6 = 11
Total number of green balls = 5+ 4 = 9
Total number of balls in bowl one = 5+ 5 = 10
Total number of balls in bowl two = 6 + 4 =10
P(A) = 1/2 = P(B)
P(M/A) = 5/10
P( M/B) = 4/10
A bowl is selected at random and a ball is drawn at random.
Using Baye's Theorem we can solve the problem as,
Probability that ball is chosen is green drawn from bowl two , P(B/M)
= \(\frac{[P(B)P(M/B)]}{[ { P(A)(M/A)} + {P(B)(M/B)}]}\)
= \(\frac{ [ (1/2)(4/10)]}{ [ (1/2)(5/10) + (1/2)(4/10)]}\)
= 4/9
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If x= -8, find x squared.
Help pleaseeeee
Answer:
64
Step-by-step explanation:
-8^2 = 64
Since 8^2 = 8 * 8 = 64
So: -8^2 = -8 * -8 = 64
Ron wants to rent a car. He is offered two payment options, which are shown in the table. Which number line shows the number of miles that will make Option A less expensive than Option B? Daily Cost ($) 25 10 A B Payment Option A B ++ + 0 10 20 30 40 50 60 70 80 90 100 Cost per Mile ($) 0.15 0.40 011++ 0 10 20 30 40 50 60 70 80 90 100 C++ + 0 10 20 30 40 50 60 70 80 90 100 D4 0 +++ 10 20 30 40 50 60 70 80 90 100
The number line that shows the number of miles where A is less expensive has a solution of x > 60
Selecting the number line that shows the number of milesFrom the question, we have the following parameters that can be used in our computation:
Option Daily Cost ($) Cost per mile ($)
A 25 0.15
B 10 0.40
So, the cost functions are
A = 25 + 0.15x
B = 10 + 0.4x
Where x is the number of miles
When A is less expensive, we have
25 + 0.15x < 10 + 0.4x
Evaluate the like terms
15 < 0.25x
So, we have
0.25x > 15
Divide
x > 15/0.25
Evaluate
x > 60
Hence, the number line is (a)
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i need to know the answer and the work shown how i got it pleasee help!!!
One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.
Answer:
4725
Step-by-step explanation:
105 students
think of 100 students
100 × 45 = 4500
now the remaining 5 students
cost for 10 students will be
45 × 10 = 450
divide 450 by 2 to find out for 5 students
it is 225
4500 + 225 = 4725
a game console priced at $428 ia sold for $360. find the discount as a percentage of the selling price
The discount on the game console is 15.89% of the selling price.
To find the discount as a percentage of the selling price, we first need to calculate the discount amount. This can be found by subtracting the selling price from the original price:
Discount = Original Price - Selling Price
Discount = $428 - $360
Discount = $68
Next, we can calculate the discount as a percentage of the selling price by dividing the discount amount by the selling price and multiplying by 100:
Discount % = (Discount / Selling Price) * 100
Discount % = ($68 / $428) * 100
Discount % = 0.1589 * 100
Discount % = 15.89%
Therefore, the discount on the game console is 15.89% of the selling price.
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2. Is the set of rational expressions closed under multiplication? Explain
(p(x)/q(x)) (r(x)/s(x))
Answer:
Yes, the set of rational expressions is closed under multiplication.
Step-by-step explanation:
A rational expression is a fraction of polynomials, where the numerator and denominator are both polynomials with coefficients in some field, such as rational numbers. When we multiply two rational expressions, we reproduce two fractions of polynomials.
To multiply two fractions, we multiply their numerators and denominators separately and then simplify the result if possible. When we multiply the numerators and denominators of two rational expressions, we get new polynomials, which are still polynomials with coefficients in the same field. Therefore, the multiplication result is still reasonable, and the set of rational expressions is closed under multiplication.
For example, consider the following two rational expressions:
(a + 1) / (b + 2) and (c - 3) / (d - 4)
Their product is:
[(a + 1) / (b + 2)] * [(c - 3) / (d - 4)]
= (a + 1)(c - 3) / (b + 2)(d - 4)
The result is still rational since the numerator and denominator are both polynomials with coefficients in the same field. Therefore, the set of logical expressions is closed under multiplication.
If Kyle earns $12.50 per hour, how many hours did he work if he earned a total of $400. Set up an equation and solve. Let x = hours.
Answer:
32.
Step-by-step explanation:
Here is the equation I used. (x = hours)
$400 = $12.50x
To find how many hours he needs to work, divide both sides by 12.50 to get x by itself.
400/12.50 = 12.50x/12.50
Which equals:
32 = x
can someone help me pls for 50 pts
Answer:
62 square units
Step-by-step explanation:
Area = 2(lb+lh+bh)
= 2(3×2+3×5+2×5)
= 62
The solid represented by the net is a rectangular prism.
And, The surface area of the solid is , 62.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The solid represented by the net.
Here, We know that;
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.
Hence, The solid represented by the net is a rectangular prism.
Here, The length of the rectangular prism (l) = 5
The width of the rectangular prism (w) = 2
The height of the rectangular prism (h) = 3
We know that;
The surface area of the rectangular prism = 2 (wl + hl + hw)
Substitute all the values, we get;
The surface area of the rectangular prism = 2 (2×5 + 3×5 + 3×2)
The surface area of the rectangular prism = 2 (10 + 15 + 6)
The surface area of the rectangular prism = 2 × 31
The surface area of the rectangular prism = 62
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if the premium for same day shipping is 200%. what is the cost to ship 2000 lbs of goods from Houston to Shreveport (240 miles) using same-day shipping?
Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given distance
\(\begin{gathered} Distance=240\text{ miles} \\ premium=200\% \\ cost=2000lbs \\ price\text{ per 100 lbs for 240 miles is \$120} \end{gathered}\)STEP 2: Calculate the cost
\(\begin{gathered} 100lbs\text{ for 240 miles = \$}120 \\ 2000=x \\ \\ x=\frac{2000\cdot120}{100}=\text{ \$}2400 \end{gathered}\)STEP 3: Calculate the premium
\(200\%=\frac{200}{100}\cdot2400=\text{ \$}4800\)STEP 4: Calculate the overall cost to ship required goods
\(\text{ \$}2400+\text{ \$}4800=\text{ \$}7200\)Hence, the cost to ship 2000 lbs of goods from Houston to Shreveport (240 miles) using same-day shipping is $7200
Help please I don’t get it
a) The expected number of people to die before their 71st birthday is given as follows: 128.
b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:
0.025679 x 5000 = 128.
The probability for item b is given as follows:
0.016798/0.018925 = 0.8876 = 88.76%.
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The function (x) = 0.42x + 50 represents the cost (in dollars) of a one-day truck rental when the truck is
driven x miles.
a. What is the truck rental cost when you drive 85 miles?
b. How many miles did you drive when your cost is $65.96?
a. The truck rental cost when you drive 85 miles is $85.7.
b. The number of miles driven when the cost is $65.96 is 0.42x.
a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.
f(x) = 0.42x + 50
Substituting x = 85:
f(85) = 0.42(85) + 50
= 35.7 + 50
= 85.7
Therefore, the truck rental cost when driving 85 miles is $85.70.
b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.
f(x) = 0.42x + 50
Substituting f(x) = 65.96:
65.96 = 0.42x + 50
Subtracting 50 from both sides:
65.96 - 50 = 0.42x
15.96 = 0.42x
To isolate x, we divide both sides by 0.42:
15.96 / 0.42 = x
38 = x
Therefore, the number of miles driven when the cost is $65.96 is 38 miles.
In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.
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An phone playlist has songs of various genres
according to the table below. What is the probability
that, of three random songs, the first two are country
and the third is R&B? Once a song is played it will not
be repeated until all other songs are played.
Genre :Number of Songs
Rock: 12
Country :15
R&B :10
Classical :3
The probability of selecting two country songs followed by an R&B song is 0.0202.
What is the probability?The probability of selecting two country songs followed by an R&B song is determined below as follows:
The total number of songs in the playlist = 40
The probability of the first song being country = 15/40.
The probability of the second song also being country = 14/39
The probability of the third song being R&B =s 10/38
Therefore, the probability of selecting two country songs followed by an R&B song is:
Probability(country, country, R&B) = (15/40) x (14/39) x (10/38)
Probability(country, country, R&B) = 0.0202
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PLS HELPP!!!!! Which expression is equivalent to (2^7⋅3^−5 ⋅9)^4?
2^7⋅3^−5⋅9^4
2^11⋅3^−1⋅9^5
2^28⋅3^−20⋅9^4
2^28⋅(−3)^20⋅9^4
Answer:
2^7⋅3^−5⋅9^4
Step-by-step explanation:
To make marbled paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water. Then they gently swirled paint on top of the water. Let A represent the area of the dish.
Select 1 multiplication and 1 division equation to represent the relationship.
A) 178/10 x A = 279/10
B) 178/10 x 279/10 = A
A) 279/10 / 178/10 = A
B) A / 178/10 = 279/10
When Shannon filled a rectangular 10/279 cm by 10/178 dish with water, the area is B) 178/10 x 279/10 = A and A / 178/10 = 279/10
How to illustrate the information?It should be noted that in order to make the paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water and then they gently swirled paint on top of the water.
Therefore, the area of the rectangular paper as illustrated will be calculated by multiplying the dimensions given. This will be:
Area = Length × Width
Area = 10/279 × 10/178
Therefore, based on the information, it should be noted that the correct option is B.
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Answer:
b and d
Step-by-step explanation:
Pls answer quick if you don’t mind.
Answer:
A
Step-by-step explanation:
if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A
Answer:
X=19
Step-by-step explanation:
123 and 3x are supplementary/they equal 180 added together.
Let's solve your equation step-by-step.
123+3x=180
Step 1: Simplify both sides of the equation.
3x+123=180
Step 2: Subtract 123 from both sides.
3x+123−123=180−123
3x=57
Step 3: Divide both sides by 3.
3x/3 = 57/3
x=19
Have a splendid day.
PS. I like your bakugo profile picture.
The lot is 48 feet wide.
The dividers are each 2 feet wide.
how wide would each space be?
Answer:
24
Step-by-step explanation:
48 divided by 2 is 24.
3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?
Answer:
5
Step-by-step explanation:
4 7/12 + 5/12 = 4 12/12 which equals 5
Answer:
3 9/12 + (4 7/12 + 5/12) = 3 9/12 + 5
Step-by-step explanation:
4700 people attended a football game. If 2% of the people who attended were
teenagers, how many teenagers attended the game?
Insert the values given in the problem then scale up or
down to find the missing value.
attendees
percent
100
The number of teenagers in the game are 94.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 4700 people attended a football game.
Here, 2% of the people who attended were teenagers
So, the number of teenagers are
2% of 4700
= 0.02×4700
= 94
Therefore, there are 94 teenagers attended the game.
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I will give BRAINILEST
Answer:
i think it is 24
i think it is Step-by-step explanation:
Answer:
The players club is playing with the players
Step-by-step explanation:
give me a good Answer to my Question
What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2
all students press space to open convenience sampling press space to open snowball sampling press space to open college students press space to open psychology students press space to open simple random sampling
Convenience sampling and snowball sampling are non-probability sampling methods, while simple random sampling is a probability-based method used in research.
Convenience sampling involves selecting participants based on their availability or proximity, leading to a biased sample that may not be representative of the population.
Snowball sampling relies on participants referring others with similar characteristics, potentially leading to a chain of referrals.
College students and psychology students represent specific subgroups within the larger student population and may be targeted for research purposes.
In contrast, simple random sampling involves randomly selecting participants from the entire population, ensuring that each member has an equal chance of being included.
This method provides a more unbiased representation of the population, making it useful for generalization and statistical analysis.
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write an equation of the parabola in vertex form that passes through points
The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):
y = -2(x + 1)^2 + 2
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.
To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).
Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.
Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.
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The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):
y = -2(x + 1)^2 + 2
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.
To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).
Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.
Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.
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Why do we square the residuals when using the least-squares line method to find the line of best fit?
We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).
What do you mean by Residuals?We treat both positive and negative disparities equally by squaring the residual values. We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.
We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.
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There are 40 tudent in the math club and 35 percent of them are ixth grader how many tudent in the math club are not ixth grader
Answer: 14
Step-by-step explanation: just trust me i can do this very well :)
How do we find the "rate of change"
Answer: To find the average rate of change, divide the change in y-values by the change in x-values
Step-by-step explanation:
Frances can complete 91 oil changes in 7 days.
How many oil changes can Frances complete in 11 days?
Answer:
143. Divide 91/7 = 13, then take the number of oil changes per day and times it by 11. 13 x 11 = 143.
Step-by-step explanation:
Answer:
113.75
Step-by-step explanation:
Since 11 days is only 4 days away from 11, divide 91 / 4 = 22.75. Add this number to 91 to get the answer.
Using graphing, what are the approximate solutions to this equation? |2x-3|=log(2x-3)+2
The approximate solutions are: x = 1.505 and x = 2.688
Equation solutionsThe solutions to an equation can be solved by graphing calculators and by solving them explicitly.
The equation is given as:
\(|2x-3|=\log(2x-3)+2\)
Start by splitting the given equation, as follows:
\(|2x-3|=0\),\(\log(2x-3)+2 =0\)Rewrite the above equations as follows:
\(y = |2x-3|\).\(y = \log(2x-3)+2\)The graphsPlot the graphs of the above equations (see attachment).
From the graph, the equations intersect at the following points
x = 1.505x = 2.688Hence, the approximate solutions are: x = 1.505 and x = 2.688
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0.96 x 0.12 step by step pls
Answer:
0.1152
Step-by-step explanation:
multiply 0.96 by 0.12 to get 0.1152.
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
9 degrees Celsius
Step-by-step explanation:
I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.
The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.
Given data:
To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.
The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.
The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
The vertex form of the function is P(x) = -2(x - 9)² + 200.
Comparing this to the general form, the vertex of the parabola is at the point (9, 200).
Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).
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You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.
Answer:
The system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
Step-by-step explanation:
Let
The number is soil = x
The number of plants = y
You are buying plants and soil for your garden.
You want to buy at least 5 plants
At least = greater than or equal to with the inequality sign(≥)
Hence:
x + y ≥ 5..... Equation 1
The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.
No more than means Less than or equal to with the inequality sign( ≤ )
Hence:
$4 × x +$10 × y ≤ $100
= 4x + 10y ≤ 100..... Equation 2
Therefore, the system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2