The class width used for the frequency distribution is 6.
The class midpoint for the class 23-29 is 26.
The class midpoint for the class 30-36 is 33.
The class midpoint for the class 37-43 is 40.
To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:
23-29
30-36
37-43
For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:
Class width = 29 - 23 = 6
So, the class width for the frequency distribution is 6.
To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.
For the class 23-29:
Class midpoint = (23 + 29) / 2 = 52 / 2 = 26
For the class 30-36:
Class midpoint = (30 + 36) / 2 = 66 / 2 = 33
For the class 37-43:
Class midpoint = (37 + 43) / 2 = 80 / 2 = 40
So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.
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Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such than
. Find the distance across the lake from A to B.
NOTE: The triangle is NOT drawn to scale.
distance =
m
Enter your answer as a number; your answer should be accurate to 2 decimal places.
589.43 m is the approximate length of AB from the given triangle
The cosine rule of a triangleThe given diagram is a triangle. From the given triangle, the equivalent expression that will be used is given as:
BC² = AC² + AB² - 2(AC)(AB) cos Ф
Substitute the given parameters
482² = 358² + AB² - 2(358)(AB) cos 54.8
482² - 358² = AB² - 716(AB) cos 54.8
104160 = AB²- 412.72AB
AB²- 412.72AB - 104160 = 0
On factorizing the result, the measure of the length AB is approximately 589.43 m
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simplify -10(3r+7)+7(4r+9)
Answer:
Your answer is
-2r-7
Step-by-step explanation:
Hope this helps!
Answer:
-2r-7
Step-by-step explanation:
Help me asappppppppp
Answer:
hey, i hope you are having a wonderful day.
Step-by-step explanation:
Answer:
Cindy uhh, I can't really see the figures well but I think you'll insert the x and y values into the function given and solve for A, B and C simultaneously.
where you see f(x), put in there the y value of the point and where you see x , put in the x value of the point.
Also ,you can nullify A and B to get C first . You can do that by putting zero in place of x and putting it's correspondent on the y axis into f(x)
The population, in millions of people, of the United States can be represented by the recursive
formula below, where a represents the population in 1910 and n represents the number of years
since 1910.
ao
an 1.015a, - 1
Identify the percentage of the annual rate of growth from the equation a,, = 1.015a, - 1
= 92.2
=
Write an exponential function, P, where P(t) represents the United States population in millions
of people, and t is the number of years since 1910.
According to this model, determine algebraically the number of years it takes for the population of
the United States to be approximately 300 million people. Round your answer to the nearest year.
53 years for the Population of the United States to reach 300 million people according to this model.
The recursive formula of the population of the United States is given by ao = an1.015a - 1
Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)
where a0 is the population of the United States in 1910 (92.2 million people) .
Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)
To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300
Dividing both sides by 92.2, we get1.015t = 3.2596
Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2
Therefore, approximately 53 years for the population of the United States to reach 300 million people according to this model.
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WILL MARK THE BRAINLIEST, 10 PTS
The graph below shows the cost of buying snow cones as a function of the number of snow cones sold.
What is the range of the function?
Answer:
0 to 4.5
Step-by-step explanation:
ranges from 0 to 4.5
Find the LCM of 6 and 20 using lists of multiples. VESIS The LCM IS
Answer:
it is 60 my guy
Step-by-step explanation:
Answer: LCM = 60
Step-by-step explanation:
6 20
× 1 6 20
× 2 12 40
× 3 18 60
× 4 24
× 5 30
× 6 36
× 7 42
× 8 48
× 9 54
× 10 60
The distance traveled by a certain motorcycle varies directly to the amount of fuel it
consumes. The motorcycle traveled 120 miles on 2 gallons of fuel. At the same rate, how
far would the motorcycle travel on 6 gallons of fuel?
Answer:
360 miles
Step-by-step explanation:
just multiply 120 by 3.
solve the equation
5(a + 4) - 6a + 1 = 12
a =
Answer: A= 21/13
Step-by-step explanation:
Question 6 (1 point)
What is the value of n?
79°
Blank 1:
Answer:
Step-by-step explanation:
69
10
-5
-10
5
o
5
10
5
-10
Answer: -10,505,110
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2.2. Calculate the following: a. -15 × (-3 + 5)-15 + ?(-3) b. V-125-5 × 3² c. (-5)-(-8)-(-7) d. (-5)-(-8)-(-7) - (+2) - (+2)
a. The final result is -45 + ?(-3).
b. We have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.
c. The result is 10.
d. The result is 6.
a. -15 × (-3 + 5) - 15 + ?(-3)
Let's simplify the expression step by step:
-15 × (-3 + 5) - 15 + ?(-3)
First, we can simplify the expression within the parentheses:
-15 × 2 - 15 + ?(-3)
Next, we perform the multiplication and addition:
-30 - 15 + ?(-3)
Now, let's address the "?(-3)" part. Since we don't have a specific value for the missing factor, we'll leave it as it is for now.
-30 - 15 + ?(-3)
Finally, we can simplify the expression by performing the subtraction:
-45 + ?(-3)
The final result is -45 + ?(-3).
b. √(-125 - 5) × 3²
Let's simplify this expression step by step:
√(-125 - 5) × 3²
First, we evaluate the expression within the square root:
√(-130) × 3²
Since we have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.
c. (-5) - (-8) - (-7)
Let's simplify this expression step by step:
(-5) - (-8) - (-7)
To simplify double negatives, we can rewrite the expression as addition:
(-5) + 8 + 7
Now, we can perform the addition:
-5 + 8 + 7 = 3 + 7 = 10
The result is 10.
d. (-5) - (-8) - (-7) - (+2) - (+2)
Let's simplify this expression step by step:
(-5) - (-8) - (-7) - (+2) - (+2)
Again, let's rewrite the double negatives as addition:
(-5) + 8 + 7 - 2 - 2
Now, we can perform the addition and subtraction:
-5 + 8 + 7 - 2 - 2 = 3 + 7 - 2 - 2 = 10 - 4 = 6
The result is 6.
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From the sum of -8 and +5 subtract (-2)(-5)
Answer:
(-6)(+5-5) is the answer
Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the total. What was the total amount they paid for dinner?
Answer: $97.524
Step-by-step explanation:
First let's calculate the price after the tax rate:
converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)
Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524
Graph the line.
y=-2/5x+5
Answer: 2.5=Y
Step-by-step explanation: you divide -2 by 5 which is -2.5 then you add 5 giving you the result of 2.5 or Y
Answer:
See attached image
Step-by-step explanation:
In order to graph, find about three different points that belong to the line, and join them with a straight line.
The points I suggest are using easy values of "x" that will make the calculation of the y-value simple. For example the x-values: 0, 5, -5
When x = 0 , y becomes: y = -(2/5) (0) + 5 = 5
When x = 5, y becomes : y = -(2/5) (5) + 5 = - 2 + 5 = 3
When x = -5, y becomes: y = -(2/5) (-5) + 5 = 2 + 5 = 7
Then plot the points (0, 5), (5, 3) and (-5, 7) on the plane, and join them with a line as shown in the attached image.
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Part A: Calculate how much Portfolio 2 earns. Show all work.
Part B: Using your values from Part A, identify the portfolio that earns the most. What information from the table could be used to justify why that portfolio has higher earnings?
The total amount that Portfolio 2 earns is approximately $567.75.
How much does Portfolio 2 earn?To calculate the earnings for Portfolio 2, we need to calculate the return on each investment and then sum them up.
Return on Savings Account:
= $1,450 * 2.80%
= $40.60
Return on Government Bond:
= $2,200 * (-1.55%)
= -$34.10
Return on Preferred Stock:
= $3,700 * 11.70%
= $432.90
Return on Common Stock:
= $1,500 * 8.49%
= $127.35
Total earnings for Portfolio 2 is:
= $40.60 + (-$34.10) + $432.90 + $127.35
= $567.75.
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Insegnt comma actoarding
international system for
47582 162315
Answer:
If they are seperate numbers then it would be
47,582 and 162,315
If they are the same number it would be 47,582,162,315
Help please :) simple 7th math
Answer:
slope is 4
Step-by-step explanation:
find the solution of the system of equations
-3x-2y=-4
9x+3y=15
Answer: x = 2, y = -1
-------------------------------
you make and sell decorative bows. you sell small bows for 3 and large bows for 5. you want to earn 60 per week
A new cell phone cost $749. The new phone is estimated to have a linear depreciation (loss of value) of $115 per year when measured only at the end of each year. The function f(x)=-115x+749 models the value of the phone each year, x, since it was purchased. What is the most appropriate domain for the function?
Answer:
Natural Numbers!!
Step-by-step explanation:
Math question angle measures
Answer:
m∠4 and m∠2 = 81 degrees, m∠3 is 99 degrees
Step-by-step explanation:
180 - 99 = 81, therefore m∠4 and m∠2 are 81 degrees
Since 1 is 99 degrees, m∠3 is 99 degrees too.
I hope this helped, please mark Brainliest, thank you!
Answer:
Angle 1 = 99
Angle 2=81
Angle 3=99
Angle 4=81
Step-by-step explanation:
Angle one is given with this we can conclude angle 3 as they are vertical of each other.
Angle two can be seen as the sum of Angles 1 and 2 equal 180 as angle 1 is 99 we may assume angle two is 81.
Angle four is the vertical of angle two so it is 81 as well.
Not positive of this answer as I'm in geometry but I tried.
Best of luck mate
A professor gives his students 9 essay questions to prepare for an exam. Only 2 of the questions will actually appear on the exam. How many different exams are possible?
Answer:
There are 36 possible exams.
Step-by-step explanation:
How many ways can you select 2 questions out of 9? 9 choose 2.
[tex]\frac{9!}{2!7!}[/tex]= 36
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
Find the slope of the line shown below. *
عه
5
4
3
1
-5 -4 -3 -2 -1
1 2 3 4 5
#☺
Answer: The slope is 2/3
Step-by-step explanation:
The difference in the rise (y-values) 2, divided by the difference in the run (x-values) 3, is 2/3.
You can see this by looking at the places where the graphed line crosses the grid, and counting the squares in each direction between those points, or you can use the formula (y - y₁) ÷ (x - x₁)
Using the values of coordinates (3,1) and (0, -1)
1 -(-1) ÷ 3 - 0
2 ÷ 3
2/3
The slope of the given line is 2/3.
From the given figure, the coordinates of the points on line are (3, 1) and (-3, -3).
What is slope of a line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.
The slope of a line is m=(y2-y1)/(x2-x1)
Using the coordinates (x1, y1) = (3, 1) and (x2, (y2) = (-3, -3)
Slope(m) = (-3-1)/(-3-3)
= -4/(-6)
= 2/3
Therefore, the slope of the given line is 2/3.
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Please help due today!
8x(14+7)=_____+(8x7)
Answer:
8x21 (i think this is it..)
Step-by-step explanation:
If it is 8 x (14+7)=? + (8 x 7), then it should be (8 x 14)+ (8 x 7), which is the distributive property of multiplication. There, the 8 is multiplied by each of the terms in the parentheses and the two products are added. That answer is 112+56=168, which is 8 x 21.
The freshmen class is going on a field trip. There are 316 people going.
Six people will be traveling by car and there are five buses. How many
people must ride on each bus?
Franklin loves to cook with fresh herbs. So, he decides to plant 8 different herbs and keep the small pots on his kitchen windowsill. He starts with a 4-pound bag of soil and puts the same amount of soil in each pot. If he uses all of the soil, how many ounces does he add to each pot?
Answer:
8 ounces for each pot
Step-by-step explanation:
First, we know there are 16 oz in a pound. Since there are 4 pounds, we multiply 4 by 16 to get 64, which is the amount of oz of dirt Franklin will plant. We then divide 64 by 8, to find out the amount of oz per pot.
Hope this helps!
Investing Your teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate
of 12%, the income fund had a return rate of 8%, and the money market fund had a return rate of 5%. Your teacher
invested twice as much in the income fund as in the money market fund. How much money was invested in each
fund?
The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.
Let x represent the money invested in growth fund, y represent that of income fund and z represent that of money market fund.
$5000 was invested, hence:
x + y + z = 5000 (1)
Also:
0.12x + 0.08y + 0.05z = 5450 - 5000 (2)
Your teacher invested twice as much in the income fund as in the money market fund:
y = 2z (3)
From the three equations:
x = 2000, y = 2000, z = 1000
The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.
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