Construct the class boundaries for the following frequency distribution table. also construct less than cumulative and greater than cumulative frequency tables.
ages:- 1 - 3, 4-6, 7-9, 10-12, 13-15
no of children:- 10,12,15,13,9​

Answer:

\( \frac{3x}{2} \)

Answer:

16751

Step-by-step explanation:

please mark my answer in brainlist

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11

Answer:

Answer is -3

Step-by-step explanation:

2×-4+5

=-8+5

=-3

Answer:

X is an acute angle, which means it is less than 90*, so it is probably 45*

Step-by-step explanation:

I was confused at first but then, I’m just like, I can solve this!

Answer:

120°.

Step-by-step explanation:

If extend the line by the 50° and 90°, you form a triangle. They're alternate interior angles so the angle outside of the triangle at the left of the bottomost line is congruent to 150°. You then can subtract that from 180° to get the angle inside the triangle that's next to it, which gives you 30°. The 90° is also on the same like as one of the angles inside of the triangle, meaning together the two should equal 180°, making the angle inside the triangle 90° also. You then have 2 of the triangle's angles and can subtract the sum of them from 180° to get the 3rd angle of it (60°). That 3rd angle is on the same line to x, so 180°-60° should give you x, making x 120°, I think.

Let's solve for the value of r (average speed)

Answer:

Do you mean 2x<2 or

X <2 or do you mean x²<2

Step-by-step explanation:

If your question is X²<2

Then

Total outcomes=5

Possible outcomes=3(-1,0,1)

Probability of x²<2=3/5

If your question means probability of2x<2

Then

Total outcomes=5

Possible outcomes=3 (-2,-1,0)

Probability of 2x<2=3/5

If your question means x< 2

Then

Total outcomes=5

Possible outcomes=4 (-2,-1,0,1)

Probability of x <2 =4/5

If I have not answered your question

then you can comment and ask me if you have any doubts

Hope this helps

Answer:

68

Step-by-step explanation:

8 x 40 = 320

9 x 28 = 252

320 - 252 = 68

So

Now

These are correct

Answer:

3) Plot the points on the graphing calculator. Then generate a linear regression function. That function is:

y = -.112x + 23.448

4) (2) is correct.

Answer:

24 students are right-handed.

Step-by-step explanation:

30 total

 1 left + 4 right = 5

+1 left + 4 right = 5

 2 left + 8 right = 10

+1 left + 4 right = 5

 3 left + 12 right = 15

+1 left + 4 right = 5

 4 left + 16 right = 20

+1 left + 4 right = 5

 5 left +20 right = 25

+ 1 left + 4 right = 5

6 left +24 right = 30

(x+3i)(x-3i)

A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = √-1 and both a and b are real numbers.

Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.

Using complex numbers,

x²+81 = x² - (-9i)²

           = (x²- 9²i²)

           = (x+3i)(x-3i)

To learn more about complex numbers, refer to https://brainly.com/question/10662770

#SPJ9

Answer:

5.0 inches

Step-by-step explanation:

The formula for the volume of a sphere is:

\(\boxed{V=\dfrac{4}{3}\pi r^3}\)

where r is the radius of the sphere.

Given a sphere has a volume of 65.5 cubic inches, substitute V = 65.5 into the formula and solve for the radius, r:

\(\begin{aligned}\implies \dfrac{4}{3}\pi r^3&=65.5\\\\3 \cdot \dfrac{4}{3}\pi r^3&=3 \cdot 65.5\\\\4\pi r^3&=196.5\\\\\dfrac{4\pi r^3}{4 \pi}&=\dfrac{196.5}{4 \pi}\\\\r^3&=15.636973...\\\\\sqrt[3]{r^3}&=\sqrt[3]{15.636973...}\\\\r&=2.50063840...\; \sf in\end{aligned}\)

The diameter of a sphere is twice its radius.

Therefore, if the radius is 2.50063840... inches, then the diameter is:

\(\begin{aligned}\implies d&=2r\\&=2 \cdot 2.50063840...\\&=5.00127681...\\&=5.0\; \sf in\;(nearest\;tenth)\end{aligned}\)

Therefore, the diameter of a sphere with a volume of 65.5 cubic inches is 5.0 inches, to the nearest tenth of an inch.

Answer:

5 cm

Step-by-step explanation:

The formula to find the volume of a sphere is:

\(\sf V =\frac{4}{3} \pi r^3\)

Here,

V ⇒ volume ⇒ 65.5 cm³

r ⇒ radius

Let us find the value of r.

\(\sf V =\frac{4}{3} \pi r^3\\\\65.5=\frac{4}{3} \pi r^3\\\\65.5*3=4 \pi r^3\\\\196.5=4 \pi r^3\\\\\frac{196.5}{4} =\pi r ^3\\\\49.125=\pi r^3\\\\\frac{49.125}{\pi} = r^3\\\\15.63=r^3\\\\\sqrt[3]{15.63} =r\\\\2.5=r\)

Let us find the diameter now.

d = 2r

d = 2 × 2.5

d = 5 cm

32 papers would Ashley have to remain to grade after working for 6 hours.

What is simplification?

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Ashley is a teacher and takes home 98 papers to grade over the weekend.

She can grade at a rate of 11 papers per hour.

We have to calculate how many papers would Ashley has remaining to grade after working for 6 hours.

Based on the given conditions, formulate:: 98 - 11 × 6

Calculate the product or quotient: 98 - 66

Calculate the sum or difference: 32

Hence, 32 papers would Ashley have to remain for a grade after working for 6 hours.

To learn more about the simplification from the given link

https://brainly.com/question/28780542

#SPJ1

Answer: $793

Step-by-step explanation:

You would take the $109 and multiply it by 7 ( the amount of days in a week) and add $30 non-refundable fee! hope this helps :)

Answer:

B

Step-by-step explanation:

Answer:

C.) (5,0)

Step-by-step explanation:

You see where the lines cross together. That will be the answer.

Answer:

9 quarters

Step-by-step explanation:

From the question

Jesse has $3.40 in quarters and nickels

Quarters = q = number of quarters

1 quarter = $0.25

nickels = n = number of nickels

1 nickel = $0.05

Hence,

0.25q + 0.05n = $3.40 .......Equation 1

The number of nickels is 5 more than 2 times the number of quarters.

n = 2q + 5

0.25q + 0.05n = $3.40 .......Equation 1

0.25q + 0.05(2q + 5) = 3.40

0.25q + 0.10q + 0.25= 3.40

0.35q = 3.40 - 0.25

0.35q = 3.15

q = 3.15/0.35

q = 9

Therefore, Jessie has 9 quarters.

Answer:

V = Bh = πr2h

Step-by-step explanation:

Answer:

2y( 3x-1)(3x+1)

Step-by-step explanation:

18x^2y-2y

Factor out the greatest common factor 2y

2y( 9x^2 -1)

The term in the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

2y( 3x-1)(3x+1)

a) The revenue R as a function of p is given by R(p) = -5p^2 + 100p.

b) This equation has two solutions: p = 0 and p = 20. Since R is nonnegative, the domain of R is the set of all values of p greater than or equal to 20, or {p | p ≥ 20}.

c)  The price that maximizes revenue is $10.

d)  The maximum revenue is $500.

a) The revenue R is given by R = xp. Since x = -5p + 100, we can substitute this into the equation for R to get:

R(p) = p(-5p + 100) = -5p^2 + 100p

Therefore, the revenue R as a function of p is given by R(p) = -5p^2 + 100p.

(b) We are given that the revenue R is nonnegative. To find the domain of R, we need to find the values of p that make R nonnegative. We can do this by finding the zeros of the quadratic equation -5p^2 + 100p = 0:

-5p(p - 20) = 0

This equation has two solutions: p = 0 and p = 20. Since R is nonnegative, the domain of R is the set of all values of p greater than or equal to 20, or {p | p ≥ 20}.

(c) To find the price p that maximizes revenue, we can take the derivative of R(p) with respect to p, set it equal to zero, and solve for p:

R'(p) = -10p + 100 = 0

-10p = -100

p = 10

Therefore, the price that maximizes revenue is $10.

(d) To find the maximum revenue, we can substitute p = 10 into the equation for R(p):

R(10) = -5(10)^2 + 100(10) = $500

Therefore, the maximum revenue is $500.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Given data:

The graph of the given points is shown below.

The slope of the line passing through A(-2, -3) and B(-6, -6).

The slope of the line passing through B(-6, -6) and C(-8, 5).

The slope of the line passing through A(-2, -3) and C(-8, 5).

The product of the slope of line passing through AB and line passing through AC is,

Thus, the line passing through AB and line passing through AC are perpendicular.

Answer:

6 i think.

Hope this helps!

if a function is differentiable at a point, then it is continuous at that point is True.

If a function is differentiable at a point, it implies that the function is continuous at that point. The reason for this is that differentiability requires the existence of the derivative, which is based on the concept of a limit. And for a function to have a derivative at a point, it must also be continuous at that point. So, differentiability implies continuity.

what is continuity?

Continuity is a fundamental concept in calculus and analysis that describes the smooth and unbroken behavior of a function. A function is said to be continuous at a point if it does not have any abrupt jumps, holes, or vertical asymptotes at that point.

To know more about differentiable visit:

brainly.com/question/24062595

#SPJ11

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

The center of the sphere is (-1/10, -1/10, -1/10) and the radius is sqrt(3/5).

To find the center and radius of the given sphere, we need to rewrite the equation of the sphere in standard form.

The given equation is 5x^2+5y^2+5z^2+x+y+z=1. To put it in standard form, we group the x, y, and z terms together:

5x^2 + x + 5y^2 + y + 5z^2 + z = 1.

Now, we can complete the square for each variable.

For x: 5(x^2 + 1/5x) + 5y^2 + y + 5z^2 + z = 1.
For y: 5(x^2 + 1/5x) + 5(y^2 + 1/5y) + 5z^2 + z = 1.
For z: 5(x^2 + 1/5x) + 5(y^2 + 1/5y) + 5(z^2 + 1/5z) = 1.

Now, we can rewrite the equation in standard form:

5(x + 1/10)^2 + 5(y + 1/10)^2 + 5(z + 1/10)^2 = 1 + 5(1/10)^2 + 5(1/10)^2 + 5(1/10)^2.

Simplifying:

5(x + 1/10)^2 + 5(y + 1/10)^2 + 5(z + 1/10)^2 = 1 + 1/2 + 1/2 + 1/2 = 3.

Comparing this with the standard form equation of a sphere, (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, we can see that the center of the sphere is (-1/10, -1/10, -1/10) and the radius is sqrt(3/5).

Learn more about standard form from :

https://brainly.com/question/19169731

#SPJ11

The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100

The equation is

5.6j + 0.12 = 4 + 1.1j

The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication

The equation is

5.6j + 0.12 = 4 + 1.1j

Here three term has fractional part.

In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .

Then the equation will become

560j + 12 = 400 + 110j

Therefore, the number is 100

Learn more about decimal number here

brainly.com/question/4708407

#SPJ4

The given question is incomplete, the complete question is

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

5.6j + 0.12 = 4 + 1.1j

Answer:

0.3

Step-by-step explanation:

Percent means 'per 100'. So, 30% means 30 per 100 or simply 30/100. If you divide 30 by 100, you get 0.3 (a decimal number). So, to convert from percent to decimal, simply divide by 100 and remove the '%' sign. There is a easy way to convert from percent to decimal: Just move the decimal point 2 places to the left.

Hope this helps :)

pls give brainliest :p

And let me know what you think of my pfp :0

Answer:

look at the screenshot

Step-by-step explanation: