The probability of choosing a fisher from Clearwater who had a license is 54/(54+36) = 0.6, and the probability of choosing a fisher from Mountain View who did not have a license is 10/(10+90) = 0.1.
Assuming that the choices are independent, the probability of both events happening together is the product of their probabilities:
P(Clearwater had a license and Mountain View did not have a license) = P(Clearwater had a license) x P(Mountain View did not have a license)
= 0.6 x 0.1
= 0.06
Therefore, the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license is 0.06.
Answer:
The probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license is 0.06
Step-by-step explanation:
To solve this problem, we can use the multiplication rule of probability, which states that the probability of two independent events both occurring is equal to the product of their individual probabilities.Let event A be the event that a fisher chosen from Clearwater Park had a license, and let event B be the event that a fisher chosen from Mountain View Park did not have a license. Then, we need to find the probability of A and B occurring together, which we can write as P(A and B).
Using the given information, we can calculate the probabilities of events A and B as follows:
P(A) = 54/(54+36) = 0.6 (the proportion of fishers at Clearwater Park with a license)
P(B) = 10/(90+10) = 0.1 (the proportion of fishers at Mountain View Park without a license)
Since the events are independent (since no one fished at both parks), we can use the multiplication rule to find the probability of A and B occurring together:
P(A and B) = P(A) * P(B) = 0.6 * 0.1 = 0.06
Here is a graph of P, an insect population, W weeks after it was first measured. The population grows Exponentially.
Please answer the following questions. (I WILL GIVE +POINTS)
Question 1
We can say that [tex]P=a \cdot b^w[/tex] for constants [tex]a[/tex] and [tex]b[/tex].
Substituting the given points into this equation yields [tex]ab=900[/tex] and [tex]ab^3=8100[/tex]. We need to find the value of [tex]b[/tex] in this system.
[tex]\frac{ab^3}{ab}=\frac{8100}{900} \implies b^2=9[/tex]
Since the graph shows exponential growth, take the positive square root. So, [tex]b=\boxed{3}[/tex].
Question 2
We need to find the value of [tex]a[/tex].
[tex]ab=900 \implies 3a=900 \implies a=\boxed{300}[/tex]
which of the following would useful to represent as a frequency table? multiple select question. age of students in a business statistics course. majors of students in a business statistics course. gender of students in a business statistics course. state of residence of students in a business statistics course.
A frequency table would be useful for representing the age of students, majors, gender, and state of residence in a business statistics course.
A frequency table is a tabular representation of data that shows how often each value of a variable occurs. For example, a frequency table for the age of students in a business statistics course would list the different age groups and the number of students in each group. Similarly, a frequency table for the majors of students would list the different majors and the number of students in each major. A frequency table for gender and state of residence would also list the different categories (e.g. male/female or different states) and the number of students in each category.
In general, a frequency table is useful for representing categorical data, such as gender, majors, or state of residence, as well as numerical data, such as age, when the data is discrete or has a limited number of possible values.
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URGENT!!! WILL MARK BRAINLIEST!!!
The area of the shaded region will be 3 square units.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the total area of triangle XYZ is 8 square units. A and B are the midpoints of the sides XY and XZ.
Consider the half triangle XYC. The area will be half of the total triangle.
Area of XYC = 4
( 1 / 2) x b x h = 4
b x h = 8
From the similarity property:-
h' / h = b' / b = 1 / 2
h' = h / 2 and b' = b / 2
Area of the triangle AXO:-
Area = 1 / 2 x h' x b '
Area = 1 / 2 x h / 2 x b / 2
Area = ( b x h ) / 8
Area = 8 / 8 = 1 square units
Area of shaded region = Area of XYC - Area of the triangle AXO
Area of shaded region = 4 - 1
Area of shaded region = 3 square units
Therefore, the area of the shaded region will be 3 square units.
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Yosemite Falls, the highest waterfall in the United States, is actually made up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite Falls is 80 feet more than twice the Middle Cascades Falls. If the entire set of waterfalls is 2425 feet long, how tall is Lower Yosemite Falls?
As per unitary method Lower Yosemite Falls is 292.5 feet tall.
The unitary method is a mathematical problem-solving technique that involves using known information to find unknown information.
Let x be the height of the Middle Cascades Falls. The height of the Lower Yosemite Falls is 355 feet shorter than x, so the equation is:
Lower Yosemite Falls = x - 355
The height of the Upper Yosemite Falls is 80 feet more than twice the height of the Middle Cascades Falls, so the equation is:
Upper Yosemite Falls = 2x + 80
The total height of all three falls is 2425 feet, so we can add the heights of each fall to find the equation:
Lower Yosemite Falls + Middle Cascades Falls + Upper Yosemite Falls = 2425
Substituting in our previous equations:
x - 355 + x + 2x + 80 = 2425
Simplifying:
4x = 2425 + 355 - 80
4x = 2590
Dividing both sides by 4:
x = 647.5
So, the height of the Middle Cascades Falls is 647.5 feet. To find the height of the Lower Yosemite Falls, we substitute x back into the first equation:
Lower Yosemite Falls = x - 355
Lower Yosemite Falls = 647.5 - 355
Lower Yosemite Falls = 292.5 feet
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Factor the following.
(a−b)·z+3(b−a)²
Answer: az-bz+3b²-6ab+3a²
Step-by-step explanation: math whay
the length of a rectangle is 2x and the width is 3x. If the perimeter is 60, what is x?
Pleaseee HELP ASAP PLEASE
The triangles are not similar.
How to find similar triangle?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles congruent to each other.
Therefore, for the triangles above to be similar the angles will be congruent and the sides will be a ratio of each other.
Therefore, the similarities statement for the two triangle can be represented as follows:
The triangles are not similar because the sides are not a ratio of each other.
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Recent Review
1. Write an equation in standard form of a line that has a slope of 4 and passes through the point (-4,-4).
An equation in standard form of a line that has a slope of 4 and passes through the point (-4, -4) is y = 4x + 12.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (-4, -4), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-4) = 4(x - (-4))
y + 4 = 4(x + 4)
y + 4 = 4x + 16
y = 4x + 16 - 4
y = 4x + 12
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what is the lowest common multiple of 60 and 72
Answer:
brainliest plss
Step-by-step explanation:
The Least Common Multiple (LCM) of 60 and 72 is 360
Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad
If each container held 8 ounces of salad, then Larry purchased a total of number of 96 ounces of pasta salad.
1. First, determine the number of containers of pasta salad purchased. In this case, it is 12 number of containers.
2. Next, determine the amount of salad contained in each container. In this case, each container holds 8 ounces of salad.
3. Finally, multiply the number of containers purchased (12) by the amount of salad contained in each container (8 ounces). This gives us a total of 96 ounces of pasta salad purchased.
the complete question is :
Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. If the total weight of the 12 containers was 6 pounds, how many ounces of pasta salad did each container hold?
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Use the two-way frequency table to complete the relative frequency table. Drag the numbers into the boxes.
Lunch Order
Sandwich Pasta
Total
19
15
34
Sport
Volleyball
Swimming
Total
26
10
36
45
25
70
14
21
27
36
37
49
51
64
100
Lunch Order
Sandwich
Pasta
Total
Volleyball
%
%
%
Sport Swimming
%
%
%
Total
%
%
%
By applying the relative frequency concept, we make this table to represent the relative frequency of the problem:
Lunch order
Sandwich Pasta Total
Volleyball 27% 21% 49%
Swimming 37% 14% 51%
Total 64% 36% 100%
Relative frequency is a percentage number that states the amount of data in a certain group.
Relative frequency is given by the number of desired outcomes, also called frequency, divided by the number of total outcomes.
We already have the following information:
Lunch order
Sandwich Pasta Total
Volleyball 19 15 34
Swimming 26 10 36
Total 45 25 70
Now we want to find the relative frequency and put it into the following table:
Lunch order
Sandwich Pasta Total
Volleyball 19/70*100% = 27% 15/70*100% = 21% 34/70*100% = 49%
Swimming 26/70*100% = 37% 10/70*100% = 14% 36/70*100% = 51%
Total 45/70*100% = 64% 25/70*100% = 36% 70/70*100% = 100%
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Can y’all help me out please,
Answer:
I don't know the answer.
Step-by-step explanation:
Sorry. ;(
How do you write 940% as a fraction or mixed number
Answer:
Fraction: 47/15
Mixed number: 3 2/15
Step-by-step explanation:
Hope it helps! =D
A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
If we know that percentages are parts of 100, we can simply set the denominator as 100, and keep the numerator the same.
940% = [tex]\frac{940}{100}[/tex]Converting this into a mixed number will look like this:
[tex]\frac{940}{100} = 9 \frac{40}{100}[/tex] or [tex]9 \frac{4}{10}[/tex]Therefore, the percentage 940% written as a mixed number is [tex]9\frac{4}{10}[/tex].
1
The base of a parallelogram has a length of x meters, and the height of the parallelogram is x - 1
meters. The parallelogram has an area of 306 square meters. What is the value of x?
9
17
18
34
Answer:
The area of a parallelogram is given by the formula A = base x height. In this case, the base has a length of x meters, and the height is x - 1 meters. So we can write:
A = x(x - 1)
We are told that the area is 306 square meters, so we can set up an equation:
x(x - 1) = 306
Expanding the left side gives:
x^2 - x = 306
Bringing all the terms to one side gives a quadratic equation:
x^2 - x - 306 = 0
We can solve for x using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Here, a = 1, b = -1, and c = -306, so:
x = (1 ± sqrt(1 - 4(1)(-306))) / 2(1)
x = (1 ± sqrt(1 + 1224)) / 2
x = (1 ± sqrt(1225)) / 2
x = (1 ± 35) / 2
So x is either (1 + 35) / 2 = 18 or (1 - 35) / 2 = -17/2. Since x represents a length, it cannot be negative, so the value of x is 18 meters.
Therefore, the answer is x = 18.
- Two ways you can find the product of (3x) and (5x)
Answer:
3x×5x=15x² so what's the second way
find the values ox x and y that make the quadrilateral a parallelogram, please show how you did it
simplify the following:
-3/4/-6 (the / are for fractions)
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{-3/4}{6}=\frac{-0.75}{6}[/tex]
[tex]\frac{6}{-0.75}=-8[/tex]
[tex]\frac{-0.75}{6}=\frac{-1}{8}[/tex]
Question 1 Professor Plum is putting a brick border around his irregular shaped garden. Before installing the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
What are the angle measures of each vertex of the garden? Show your work.
question 2 ⦁ In Parallelogram , diagonals and intersect at point A. Give and. What is ? Show your work.
question 3 ⦁ Quadrilateral ABCD has vertices at. Based on the properties of the diagonals, is quadrilateral ABCD a rectangle, rhombus, or square? Use the distance and slope formulas to prove your conclusion. Show your work
The angle measures of each vertex of the garden are 53.13 degrees.
In Parallelogram ABCD, diagonals AC and BD intersect at point A = √7.
What is angle?Angle is a geometric figure that can be described as the amount of rotation between two straight line or planes and angle is measured in degree with a full circle being 360°.
1. To determine the angle measures of each vertex of the garden, we must first calculate the angles formed by each side. For example, the angle formed by sides AB and BC can be found by using the inverse tangent function. The equation would be
arctan(BC/AB) = arctan (4/3) = 53.13 degrees.
The angles for the other sides can be calculated in the same way. We can then use the sum of angles theorem to calculate the angles at each vertex. Since the garden is an irregular shape, the angles at each vertex will be different.
2. In Parallelogram ABCD, diagonals AC and BD intersect at point A. To calculate , we can use the distance formula.
The equation would be = √((x2 – x1)2 + (y2 – y1)2).
For the coordinates given, we would have
= √((2 – 5)2 + (5 – 1)2)
= √(-9 + 16)
= √7.
Answer 3: To determine whether quadrilateral ABCD is a rectangle, rhombus, or square, we must first calculate the slope.
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What is; 24x - 5 - 3
Answer:
Step-by-step explanation:
24x - 5 - 3 can be simplified by combining the constants (-5 and -3) into a single constant (-8):
24x - 5 - 3 = 24x - 8
Therefore, the simplified expression is 24x - 8.
Answer: 24x - 2
Step-by-step explanation:
You can't subtract the Coefficient and the Natural Number, so you can only do 24x - (5 - 3)
Which will end up as 24x - 2.
Distribute 56 rupees among Jim and Tim in the ratio of 2:5 find how much each one get
Answer:
Jim gets 16 Tim get 40
Step-by-step explanation:
the volume of a cone varies jointly with the base (area) and the height. the volume is 12.5 ft 3 when the base (area) is 15 ft 2 and the height is 2 1 2 ft . find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft 2 and the height is 6 ft . 112.5 ft 3 18.75 ft 3 72 ft 3 24 ft 3
The volume of the cone is 60 ft³ when the base area is 12 ft² and the height is 6 ft.
Let the constant of variation be k. We know that the volume of a cone is given by the formula:
V = (1/3)πr²h
where r is the radius of the base and h is the height. Since the base area is given by πr², we can write:
V = (1/3)Bh
where B is the base area. From the given information, we know that:
12.5 = (1/3) * 15 * (2(1)/(2))
Solving for k, we get:
k = 12.5 / (15 * (2(1)/(2))) = (12.5 * 2) / 15 = 5/3
Now that we have found the variation constant, we can use it to find the volume when the base area is 12ft² and the height is 6ft:
V = (5/3) * 12 * 6 = 60 ft³
So the volume of the cone is 60 ft³ when the base area is 12 ft² and the height is 6 ft.
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In a group of 40 pupils, 15 play the flute only. 7 play the piano only. 5 play both instruments. A student is chosen at random. What is the probability the student plays neither instrument?
Answer:
13/40
Step-by-step explanation:
Total No of pupils = 40
No of pupils who play the flute = 15
No of pupils who play the Piano = 7
No of pupils who play both = 5
Total No of pupils who can play the atleast one instrument = 15+5+7= 27
No one pupils who play neither instrument = 40 - 27 = 13
Probability of a pupil being chosen at random who plays neither instrument = No of Pupils who play neither instrument/ Total No of pupils = 13/40
Therefore the answer will be 13/40
Sophia remodeled her kitchen and bought a new range, a new microwave, a new dishwasher, and a new refrigerator. The range costs $900 , the microwave costs $275, the dishwasher costs $490, and the refrigerator costs $1450 . What was the total cost of the four appliances?
Answer:
3,115
Step-by-step explanation:
900 + 275 + 490 + 1450 = 3,115
A factory produces 900 items per week at a unit cost of $75 new equipment is installed that increases the productivity by 12% and reduces the unit cost by 16%
a) The new production rate is 1008 items per week.
b) The new unit cost is $63.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
a) The new production rate can be calculated by increasing the old production rate of 900 items per week by 12%.
New production rate = 900 items/week + 12% of 900 items/week
New production rate = 900 items/week + (12/100) x 900 items/week
New production rate = 900 items/week + 108 items/week
New production rate = 1008 items/week
So, the new production rate is 1008 items per week.
b) The new unit cost can be calculated by reducing the old unit cost of $75 by 16%.
New unit cost = $75 - 16% of $75
New unit cost = $75 - (16/100) x $75
New unit cost = $75 - $12
New unit cost = $63
So, the new unit cost is $63.
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The question seems incomplete, the missing part has been below:
A factory produces 900 items per week at a unit cost of $75 new equipment is installed that increases productivity by 12% and reduces the unit cost by 16%.
a) What is the new production rate?
b) What is the new unit cost?
What is 22+44+556 and then mutiply the answer by 88
Answer:
54,736
Step-by-step explanation:
22+44+556=622 × 88
Answer:
7.068....................
Joe went to a taco stand with some friends. Joe bought 9 tacos and 4 burritos, and spent 64% of the money on burritos. How many tacos could Joe but for the price of one burrito?
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
Joe can have four tacos for the cost of one burrito.
The cost of 4 burritos is 64%, which means the cost of 1 burrito is 16%.
The cost of 9 tacos is 36%, which means the cost of 1 taco is 4%.
1 taco Is 4%, 1 burrito = 16%
4 times 4 equals 16
Joe can get four tacos for the price of one burrito.
(Hope this helps!)
(Consider marking as the brainliest, so I can get to the next rank please :)
Find the largest domain of f(x)=x²+1
The largest domain of f(x)=x²+1 is ∝
How to determine the largest domainFrom the question, we have the following parameters that can be used in our computation:
f(x)=x²+1
The above expression is a quadratic function
The domain of a quadratic function is the set of all real values
This means that the input value can be as large as possible
So, the largest domain is ∝ (infinity)
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i need help with this assignment
The mean of the scores is given as follows:
88.3.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Considering the absolute frequencies in the table, the sum of all the observations is given as follows:
1 x 75 + 9 x 80 + 3 x 85 + 2 x 90 + 2 x 95 + 7 x 100 = 2120.
The number of students is given as follows:
1 + 9 + 3 + 2 + 2 + 7 = 24.
Hence the mean is obtained as follows:
2120/24 = 88.3.
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suppose that shoe sizes of american women have a bell-shaped distribution with a mean of 8.04 and a standard deviation of 1.52 . using the empirical rule, what percentage of american women have shoe sizes that are between 3.48 and 12.6 ?
The percentage of American women with shoe sizes between 3.48 and 12.6 is somewhere between 68% and 95%.
Empirical Rule Shoe SizesThe empirical rule states that for a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.
In this case, we want to find the percentage of American women with shoe sizes between 3.48 and 12.6. To use the empirical rule, we need to convert these values to standard deviations away from the mean. We can do this by subtracting the mean and dividing by the standard deviation:
3.48 - 8.04 = -4.56
-4.56 / 1.52 = -3.00
12.6 - 8.04 = 4.56
4.56 / 1.52 = 2.99
So we want to find the percentage of American women with shoe sizes that are between -3 standard deviations and +2.99 standard deviations from the mean.
According to the empirical rule, about 68% of the data falls within one standard deviation of the mean, so we can estimate that about 68% of the data falls within -1 and +1 standard deviations from the mean. The percentage between -2 and +2 standard deviations from the mean would be about 95%, and between -3 and +3 standard deviations from the mean would be about 99.7%.
Since our range of shoe sizes is partially contained within each of these ranges, we can estimate that the percentage of American women with shoe sizes between 3.48 and 12.6 is somewhere between 68% and 95%.
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The vector a = pi+qj, where p and q are positive constants, is such that |a| = 15. Given that a makes an angle of 55 with i, find the values of p and q
As a result, the vector a = pi+qj, where p and q are positive constants, has p=0.573 and q=11.991 so that |a| = 15.
what is vector ?A vector is an quantity with direction and magnitude but no controlling idea in mathematics. Examples of such statistics include shock and velocity. A vector is something that has both and direction. A vector can be thought of technically as a pointed line segment, whose length relates to the vector's magnitude and whose motion is indicated by an arrow. A quantity or phenomenon known as a vector has two distinct assets: size and direction. The phrase also refers to a mathematical or geometrical representation of these numbers. Emfs, weight, momentum, power, and velocity are examples of vectors in nature.
Given
ā= pi +qj = and |al = p2 +q2 = 15
\vec{a} makes an angle of 55 with i i.e. (pi +9]). = cos55
(pi +bj]). = cos55 = 0.573
=>p = 0.573
:.q2 = 15^2 – (0.573)2 = 224.64
=> q = 11.991
As a result, the vector a = pi+qj, where p and q are positive constants, has p=0.573 and q=11.991 so that |a| = 15.
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