Answer:
85.84
Step-by-step explanation:
6x4 is the area of 1 rectangle
There r 3 rectangles
6x4 =24
24x3 =72
That’s the area if all the rectangles
There r 2 triangles
(4x3.46)/2 is the area of 1 triangle
=6.92
6.92x2 =13.84
total surface area is all the areas added up
72+13.84
=85.84
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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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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Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.
Katrina will need 24 bricks to build the wall around her backyard.
We have,
To determine the number of bricks needed for the wall, we need to divide the total length of the wall (432 inches) by the length of each brick (18 inches):
So,
Number of bricks = Total length of the wall / Length of each brick
Number of bricks = 432 inches / 18 inches
Number of bricks = 24 bricks
Therefore,
Katrina will need 24 bricks to build the wall around her backyard.
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The complete question:
Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.
Find the number of bricks needed to build around he backyard.
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
is there another square other than the own drawn to make a reflective symmetry?
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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. 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
Suppose log 2 = r, log, 3= s, and log 5 = t. Which algebraic expression represents log 75?
log(75) = log( 3 • 5 • 5 )
= log(3) + log(5) + log (5)
= s + t + t
= s + 2t
To go from log( 3 • 5 • 5 ) to log(3) + log(5) + log (5), we use the log rule that says log( a • b ) = log(a) + log(b).
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
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)
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.
i need help with calculus
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?
A combined total of $33,000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is $2,010.00. How much is invested in each bond?
Answer: $9,000 is invested in the 5% bond, and $24,000 is invested in the 6.5% bond.
Step-by-step explanation: x + y = 33,000 (the full sum contributed)
We too know that the yearly intrigued earned is $2,010.00, which is the whole of the intrigued earned from each bond. Utilizing the equation for basic intrigued:
intrigued = principal x rate x time
ready to calculate the intrigued earned from each bond:
0.05x (for the 5% bond)
0.065y (for the 6.5% bond)
So we have another condition:
0.05x + 0.065y = 2,010
Presently we have two conditions with two factors, which we are able illuminate utilizing substitution or end.
Let's utilize substitution:
x + y = 33,000 --> y = 33,000 - x
0.05x + 0.065y = 2,010 --> 0.05x + 0.065(33,000 - x) = 2,010
Streamlining:
0.05x + 2,145 - 0.065x = 2,010
-0.015x = -135
x = 9,000
So the sum contributed within the 5% bond is $9,000, and the sum contributed within the 6.5% bond is:
y = 33,000 - x = 33,000 - 9,000 = $24,000
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.
23=-8v-7+2v????????????????????
Answer:
v=-5
Step-by-step explanation:
Answer:
[tex]23 = 10v - 7 \\ 23 + 7 = 10v \\ 30 = 10v \\ v = 3 \\ \\ [/tex]
Eating at the all-you-can-eat buffet at your favorite restaurant currently costs
$18.50, and increases in cost by 6% each year. What will this buffet cost in 6 years?
$26.24
$30.23
$27.13
$31.64
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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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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Everyone in the population must have an of being selected in order for a sample to be an
Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.
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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Can you round off 20.900156 to 1 decimal place?
Answer:
Step-by-step explanation:
20.9 is solution
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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what is half of 9min and 28 sec
Answer:
4 minutes and 44 seconds.
(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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2 Mike and Anna are having a weight loss competition. Mike wants to practice kickboxing to burn calories while Anna
prefers to run. Mike records his calories burned in the table below and Anna graphs her calories burned in the graph.
Who burns more calories per hour?
Anna's Calories Burned:
Running
A. Mike and Anna burn the same amount
of calories per minute
B. Mike burns more calories per minute
thank Anna.
C. Anna burns more calories per minute
than Mike.
D. There is not enough information
to determine who burns more calories
per minute.
Mike's Calories Burned:
Kickboxing
Minutes
0
12
24
36
Calories
0
150
300
450
Calories Burned
y
500
450
400
350
300
250
200
150
100
50
5
10 15 20 25 30 35
Minutes
40 45
50
Based on the information regarding the data, B. Mike burns more calories per minute than Anna
How to explain the dataThe calorie consumption of Mike was between 12.5 and 16.67, averaging out at nearly 13.75 per minute.
In contrast, Anna burned around 13.33 each minute.
So the answer is B - Mike burns more calories per minute than Anna.
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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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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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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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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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