The value of Q₃ of the data represented by the box plot is,
⇒ Q₃ = 30
Given that;
A box plot is shown in figure.
Now, We have been given an image of a box plot and we are asked to find the value of third quartile represented by our given box plot.
Since, we know that the upper or 3rd quartile is represented by the last line of the box.
We can see that 1st line of our box is at 20 ,so it will be 1st or lower quartile.
And, The middle line is at 25, so median for our given box plot is 25.
The last line of the box is at 30, which is representing the upper or third quartile of our given box plot.
Therefore, the third quartile, is 30 for our given box-plot.
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Lenny bought a motorcycle. He paid 10.5% in tax. The Tax added $1260 to the price of the motorcycle.
What is the price of the motorcycle not including tax?
The price of the motorcycle not including tax will be $12,000.
Given that:
Lenny bought a motorcycle. He paid 10.5% in tax.
The percentage is given as,
Percentage (P) = [Tax] / Initial value x 100
The price of the motorcycle not including tax is calculated as,
10.5 = (1260 / Initial value) x 100
0.105 = 1260 / Initial value
Initial value = 12,000
The price of the motorcycle is $12,000.
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i need help with calculus
5.
(Time limit)
Tell me the domain
Tell me the range
Tell me whether the graph is a function or not.
The answer choices are below
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
In this question, we have an horizontal line, meaning that it has a constant y-coordinate for each value of the y-input. Hence the graph represents a function.
For the domain and the range, we have that:
The domain is: all real values -> values of x of the graph.The range is: y = -2 -> only value of y on the graph.More can be learned about graphs and functions at https://brainly.com/question/12463448
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what is half of 9min and 28 sec
Answer:
4 minutes and 44 seconds.
I NEED THIS NOW 40 POINTS!!!!!!
Question 1 Part C (4 points): Showing the steps of your work, factor the polynomial from part B completely.
18x^3 + 6x^2y - 9x^2 - 3xy
(I already know the answer: 3x(3x + y) (2x − 1) I just need the work on how to get to the answer)
The polynomial 18x^3 + 6x^2y - 9x^2 - 3xy when factored completely is (6x^2 - 3x)(3x + y)
Factoring the polynomial completely.From the question, we have the following parameters that can be used in our computation:
18x^3 + 6x^2y - 9x^2 - 3xy
Factoize the expression
So, we have
6x^2(3x + y) - 3x(3x + y)
Factor out 3x + y
So, we have
(6x^2 - 3x)(3x + y)
Hence, the solution is (6x^2 - 3x)(3x + y)
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(1000 8 13. DIG DEEPER A 4,500-gram bag of soil costs $3, and an 18-kilogram bag of soil costs $10. Which is the less expensive way to buy 18,000 grams of soil? Explain.
It is cheaper to buy 18-kilogram bag of soil. The cost of the 18-kilogram is $10 and the cost of the cost of the other option is $12.
What is the cheaper way of buying 18,000 grams of soil?Cost of buying 18,000 grams of soil using the 4500 gram bag = (18,000 / 4,500) x $3 = $12
The second step is to convert 18 kilogram to grams.
1 kg = 1000 grams
18 x 1000 = 18,000 grams
18,000 grams cost $10.
Thus, it is cheaper to buy 18-kilogram bag of soil.
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What is the volume of this figure?
Enter your answer in the box.
ft³
Answer: 76 cubic feet
Step-by-step explanation:
Think about breaking it into two rectangular prisms:
Total volume = Volume of longer prism + volume of shorter prism
Total volume = 8x4x2 + 2x2x3
Total volume = 76 cubic feet
2. A set of 120 test scores are normally distributed
with a mean of 82 and a standard deviation of
5.
- The price of a gallon of regular gasoline at 75
a) What percent of the scores are between 72
and 872
b) What is the probability that a score is greater
than 77?
c) What is the probability that a score is less than
82 or greater than 92?
d) About how many students scored outside two
standard deviations of the mean?
a) What percent of gas stations sell a gallon of
a) The percent of the scores are between 72 and 87 is 77.45%
b) The probability that a score is greater than 77 is 84.13%
c) The probability that a score is less than 82 or greater than 92 is 52.28%
d) About 5 students scored outside two standard deviations of the mean.
a) To find the percent of scores between 72 and 87, we first need to standardize these scores. We can do this by subtracting the mean (82) and dividing by the standard deviation (5). This gives us:
z = (72 - 82) / 5 = -2
z = (87 - 82) / 5 = 1
We can then use a table of standard normal probabilities (also called a z-table) to find the probability of a score being between -2 and 1. This probability is 0.7745, or 77.45%
b) To find the probability that a score is greater than 77, we again need to standardize the score:
z = (77 - 82) / 5 = -1
Using the z-table, we can find the probability of a score being greater than -1 (which is the same as the probability of a score being less than or equal to 77). This probability is 0.1587, or 15.87% (rounded to two decimal places). To find the probability of a score being greater than 77, we subtract this probability from 1:
P(score > 77) = 1 - P(score <= 77) = 1 - 0.1587 = 0.8413, or 84.13%
c) To find the probability that a score is less than 82 or greater than 92, we can break this into two separate probabilities:
P(score < 82) + P(score > 92)
We can standardize these scores as follows:
z = (82 - 82) / 5 = 0
z = (92 - 82) / 5 = 2
Using the z-table, we can find the probabilities associated with these z-scores:
P(score < 82) = P(z < 0) = 0.5 (from the symmetry of the standard normal distribution)
P(score > 92) = P(z > 2) = 0.0228
Adding these probabilities together gives us:
P(score < 82 or score > 92) = 0.5 + 0.0228 = 0.5228, or 52.28%
d) Two standard deviations from the mean in either direction would be:
82 - (2 x 5) = 72
82 + (2 x 5) = 92
So any score below 72 or above 92 would be considered outside two standard deviations. To find how many students scored outside this range, we need to find the total proportion of scores that fall outside this range and multiply by the total number of scores.
To find the proportion of scores outside the range, we can use the same approach as in part c):
P(score < 72 or score > 92) = P(z < -2 or z > 2) = P(z < -2) + P(z > 2)
Using the z-table, we find:
P(z < -2) = 0.0228
P(z > 2) = 0.0228
Adding these probabilities together gives us:
P(score < 72 or score > 92) = 0.0228 + 0.0228 = 0.0456
So 4.56% of scores fall outside the range of 72 to 92. To find the number of students who scored outside this range, we can multiply this proportion by the total number of scores:
0.0456 x 120 = 5.472 ≈ 5
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Darcy is tiling a square area of her bathroom floor. For every 13 white tiles used, she wants to use 12 gray tiles.
The ratio to show the relationship is 13 : 12
Writing the ratio to show the relationshipFrom the question, we have the following parameters that can be used in our computation:
For every 13 white tiles used, she wants to use 12 gray tiles.
This means that
Ratio = White : Gray
Substitute the known values in the above equation, so, we have the following representation
Ratio = 13 : 12
Hence, the ratio of white tiles and the number of gray tiles is 13 : 12
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Complete question
Demetria is tiling a square area of her bathroom floor. For every 13 white tiles used, 'she wants to use 12 gray tiles.
Write a ratio to show the relationship between the number of white tiles and the number of gray tiles.
The profit equation for the sale of pressure cookers for the company Kitchen Masters is PP = −120pp2 + 19,800pp − 727,450. Which of the following is a sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300?
Where the above factors are given, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.
Why is this so?The profit equation for the sale of pressure cookers for the company Kitchen Masters is:
P = −120p² + 19,800p − 727,450
To find the sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300,
Let the profit equation = 89,300.
Now, we solve for p:
89,300 = −120p² + 19,800p − 727,450
Adding 727,450 to both sides:
816,750 = -120p² + 19,800p
Dividing both sides by -120:
-6,805 = p² - 165p
Rearrange the equation to make it Quadratic
p² - 165p + 6,805 = 0
Now we can solve for p using the quadratic formula:
p = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = -165, and c = 6,805.
p = (-(-165) ± √((-165)² - 4(1)(6,805))) / 2(1)
p = (165 ± √((27,225 - 27220)) / 2
p ≈ 83.618 or p ≈ 81.382
Therefore, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.
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(06.02 HC)
A person with type A blood can donate red blood cells to people with type A or type AB blood. About 31% of the U.S. population has type A blood. University High held a blood drive where 50 students donated blood.
Part A: What is the probability that exactly 17 of the students had type A blood? (5 points)
Part B: What is the probability that at least 17 of the students had type A blood? (5 points)
A) A probability of approximately 0.128 or 12.8% that exactly 17 students had type A blood.
B) There is a 93.0% chance that at least 17 students had type A blood in the blood drive held at University High.
Part A: To find the probability that exactly 17 of the 50 students had type A blood, we first need to calculate the probability of a single student having type A blood. Since about 31% of the U.S. population has type A blood, the probability of a student at University High having type A blood is also 31%.
We can use the binomial distribution formula to calculate the probability of exactly 17 students having type A blood in a sample of 50 students. The formula is:
P(X = x) = (n choose k) x pˣ x (1-p)ⁿ⁻ˣ
where P(X = x) is the probability of exactly x successes, n is the sample size (in this case, 50), p is the probability of success (31% or 0.31), (n choose k) is the binomial coefficient or the number of ways to choose k successes from n trials.
Plugging in the values, we get:
P(X = 17) = (50 choose 17) x 0.31¹⁷ x (1-0.31)⁵⁰⁻¹⁷ = 0.128 or 12.8%
Part B: To find the probability that at least 17 of the 50 students had type A blood, we need to calculate the probability of 17, 18, 19,...50 students having type A blood and then add those probabilities together. This is because "at least 17" means 17 or more students, so we need to consider all possibilities from 17 to 50.
Therefore, the probability of at least 17 students having type A blood is:
P(X >= 17) = 1 - P(X < 17)
where P(X < 17) is the probability of less than 17 students having type A blood. We can use the binomial distribution formula to calculate this probability as well:
P(X < 17) = P(X = 0) + P(X = 1) + ... + P(X = 16)
Again, this can be a tedious task to calculate manually. Instead, we can use a binomial calculator or a software program to find this probability.
Using a binomial, we find that the probability of less than 17 students having type A blood is approximately 0.070 or 7.0%. Therefore, the probability of at least 17 students having type A blood is:
P(X >= 17) = 1 - P(X < 17) = 1 - 0.070 = 0.930 or 93.0%
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Rotations : If the point (6,2) was on a figure that was rotated 180 degrees clockwise what would be the coordinates of the new point on this figure
The coordinates of the new point is (-6, -2)
What would be the coordinates of the new pointFrom the question, we have the following parameters that can be used in our computation:
Point = (6, 2)
Rule: 180 degrees rotation
The rule of 180 degrees rotation is
(x, y) = (-x -y)
substitute the known values in the above equation, so, we have the following representation
image = (-6, -2)
Hence, the image = (-6, -2)
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2. A gift is packed in a rectangular box (rectangular prism) of dimensions 15 in, 10 in, and 8 in and it needs to be wrapped with gift paper. How much gift paper is required to wrap the gift box?
length= 5 in , width= 4 in, height= 3 in
length, l=16in
width, b=13in
thickness, t=3in
To Find:-
Area of wrapping paper required.
Explanation:-
Since, wrapping paper is to be wrapped over the whole rectangular box.Therefore, we have to calculate the total surface area of the rectangular box.

Therefore, 590 of paper is required to wrap the whole rectangular box.
What is the probability that
both events will occur?
Two dice are tossed.
Event A: The first die is a 3 or 4
Event B: The second die is a 1
P(A and B) = P(A) • P(B)
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.
The probability that both events occur is 0.06.
What is the probability of both events?The probability that both events occur is calculated as follows;
P(A and B) = P(A) x P(B)
The probability of event A is;
P(A) = number of outcomes / total number of outcomes
P(A) = 2/6
P(A) = 1/3
The probability of event B is;
P(B) = number of outcomes / total number of outcomes
P(B) = 1/6
The probability of both events is;
P(A and B) = P(A) x P(B)
P(A and B) = (1/3) x (1/6)
P(A and B) = 1/18 = 0.06
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dr
15
3-
13 1
-6
-9
-12
-15
2 3 4 5
X
Which lists all of the x-intercepts of the graphed
function?
O(0.6)
O(1, 0) and (2, 0)
O(1, 0), (2, 0), and (-3, 0)
O(1.0), (2, 0), (-3,0), and (0, 6)
Answer:
not sure sorry -(1,0)and (2,0)
b) The Median and Mode of the following wage distribution are known to be $33.5 and $34 respectively. Three frequency values from the table are, however, missing. Find the missing values. Wages (in $) 0-10 10- 20 20 - 30 30 - 40 40-50 50 - 60 60-70 Frequencies (f) 10 10 ? ? ? 6 4 230
The frequencies based on the information are are 100, 40, and 6.
How to explain the frequencyIn the formula of the median, we have to calculate cumulative frequencies and have to use cumulative frequency of the interval previous to the median class. Also, in the formula of mode, frequencies are used and not the cumulative frequencies.
140 - y = 100
y = 40
substituting y and x in equation 1 is:
x + y + z = 146
100 + 40 + z = 146
z = 6
Therefore, the missing frequencies are 100, 40, and 6.
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Willa sells cars. Last month, she had 124,000 dollars in sales. Her commission rate is 1.3 percent. How much did Willa earn for the month?
PLEASE HELP ITS URGENT ILL GIVE YOU BRAINLIEST.
The following are daily high temperatures (°F) in Auckland, New Zealand: 75 67 83 90 79 74 70 71 72 78 76 67 66 80 77 77 84 74
Using the data above, make a box-and-whisker plot. If the set has outliers, use an * to show them.
if you answer as a troll I will report
Answer: The box goes from Q1 to Q3, with the middle spoken to by a line interior the box at Q2. The bristles expand from the box to the least and most extreme values. There's one exception, spoken to by an bullet (*), at the esteem of 90.
Step-by-step explanation: box and whisker plot:
|
90 ---| *
84 ---|
83 ---|
80 ---|_____
79 ---| |_____
| | |
76 ---| | |
| | |
72 ---|_____| |
71 ---| |
70 ---|___________|
66 75
Mona pays $1.00 for the first call of the day on her mobile phone plus $0.15 per minute of the call. She paid $2.95 for her first call today. Write an expression that you could use to calculate the length in minutes of the phone call.
The requreid Mona's phone call was 13 minutes long.
Let's let the variable "m" represent the length of the phone call in minutes.
We know that Mona pays $1.00 for the first call of the day plus $0.15 per minute of the call. So the total cost of the call can be represented by the expression:
$1.00 + $0.15m
We also know that Mona paid $2.95 for her first call today. So we can set the expression for the total cost of the call equal to $2.95:
$1.00 + $0.15m = $2.95
To solve for the length of the call in minutes, we can first subtract $1.00 from both sides of the equation:
$0.15m = $1.95
Then we can divide both sides by $0.15:
m = 13
Therefore, Mona's phone call was 13 minutes long.
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or There are 12 cans of soup in a pantry, 3 of which contain chicken tortilla soup. What is the probability that a randomly selected can will be chicken tortilla soup?
find the exact value of x 15 6
The exact value of x in the right triangle is 3√10
Finding the exact value of x in the right triangleFrom the question, we have the following parameters that can be used in our computation:
Similar triangles
Using the theorem of corresponding sides in similar triangles, we have
x/15 = 6/x
When both sides of the equation are cross multplied, we have
x^2 = 90
Take the square root of both sides
So, we have
x = 3√10
Hence, the exact value of x is 3√10
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A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Let X be the number of questions answered correctly. Find P (4) and P (more than 2)
The probability P (4) and of getting more than 2 questions correct are 0.017 and 0.113 respectively.
The number of ways the student can answer each question is 4 (since there are 4 choices), so the probability of getting any one question correct by guessing is 1/4, and the probability of getting any one question wrong by guessing is 3/4.
We can use the binomial probability formula to find the probability of getting a specific number of questions correct out of the 10:
[tex]P(X = k) = ( ^kC _n) * p^k * (1-p)^(n-k)[/tex]
a) P(4) represents the probability of getting exactly 4 questions correct out of 10.
[tex]P(X = 4) = (^{10}C_4) * (1/4)^4 * (3/4)^{(10-4)} \approx 0.017[/tex]
So the probability of getting exactly 4 questions correct is approximately 0.017.
b) P(more than 2) represents the probability of getting 3, 4, 5, ..., or 10 questions correct out of 10. We can use the complement rule to find this probability:
P(more than 2) = 1 - P(X ≤ 2)
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\\= (^{10} C_0) * (1/4)^0 * (3/4)^{10}+ (^{10} C_1) * (1/4)^1 * (3/4)^9+ (^{10} C_2) * (1/4)^2 * (3/4)^8\\\approx 0.887[/tex]
So,
P(more than 2) = 1 - P(X ≤ 2) ≈ 1 - 0.887 ≈ 0.113
Therefore, the probability of getting more than 2 questions correct is approximately 0.113.
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What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
The calculated area of this triangle is 43.50 sq units
What is the area of this triangle?From the question, we have the following parameters that can be used in our computation:
The triangle
The area of the triangle is calculated as
Area = 1/2 * Product of adjacent legs * sin of middle angle
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 12 * 8 * sin(65)
Evaluate
Area = 43.50
Hence, the area is 43.50 sq units
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Can you round off 20.900156 to 1 decimal place?
Answer:
Step-by-step explanation:
20.9 is solution
is there another square other than the own drawn to make a reflective symmetry?
What is the volume of this figure?
4, 8, 6, 2, 3
23=-8v-7+2v????????????????????
Answer:
v=-5
Step-by-step explanation:
Answer:
[tex]23 = 10v - 7 \\ 23 + 7 = 10v \\ 30 = 10v \\ v = 3 \\ \\ [/tex]
Water is 2parts of hydrogen and 1 part of oxygen. For one molecule of water, each atom has the atomic mass unit of u, shown. What percent of the mass of a water molecule is hydrogen
Oxygen=16.00u
Hydrogen = 1.01u
11.2% of the mass of a water molecule is hydrogen
How to solve for the percentageAs water is composed of two parts hydrogen and one part oxygen, the total mass of a single molecule may be determined by ascertaining the following:
The Total Mass of Water = (2 x Mass of Hydrogen) + (1 x Mass of Oxygen)
Total Mass of Water = (2 x 1.01u) + (1 x 16.00u)
Total Mass of Water = 18.02u
Consequently, the overall mass of one molecule of water is determined to be 18.02 atomic mass units (u).
% mass of hydrogen = (mass of hydrogen / total mass of water) × 100
% mass of hydrogen = (2.02u / 18.02u) × 100
% mass of hydrogen = 11.2%
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Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.
<[tex]\sqrt{74}[/tex]
The inequality is -8 < √74 < 9. A mathematical expression that's values on the left and right are not equal is referred to as having an inequality.
A mathematical expression that's values on the left and right are not equal is referred to as having an inequality. In essence, an inequality analyses any two values that demonstrates whether one is bigger than, less than, or neither greater nor equal to the other quantity. Numbers are compared using inequalities to determine a range of quantities that are contained inside the parameters of a variable.
Let A = √74
A² = 74
8² < A² < 9²
Hence, the inequality is -
8 < √74 < 9
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. Amanda lets her new pony exercise by letting the pony run in circles while
attached to a rope, which Amanda holds in the center of the ring. If the part of
the rope between Amanda's hand and the pony is 30 feet long, how far does
the pony run in one circle. Round your answer to the nearest tenth. (Draw a sketch to help.
Answer:
188.5 ft
Step-by-step explanation:
One Circle = perimeter
= 2 nr
= 2 x 3.14 x 30
= 188.5 ft