Select all that apply: 21 days is equal to... Question 6 options: 504 hours 30,240 minutes 1081404 seconds 3 weeks 1 month

The 50% probability that a student chosen randomly from the class does not play a sport.

According to the statement

We have to find that the probability.

So, For this purpose, we know that the

Probability is that the branch of mathematics that studies the possible outcomes of given events along with the outcomes' relative likelihoods and distributions.

From the given information:

In a class of scholars, the subsequent data table summarizes what percentage students play an instrument or a sport.

Then

In total, there are 8 + 7 + 3 + 12 = 30 students.

And Of this total, 3 + 12 = 15 don't play a sport.

Then

Probability = 15/30

Probability = 0.5

Then

50% probability that a student chosen randomly from the class does not play a sport.

So, The 50% probability that a student chosen randomly from the class does not play a sport.

Learn more about probability here

https://brainly.com/question/25870256

#SPJ9

Answer:

[tex] <por = x \: \: \: < ros = \beta \: \: \: pos = \gamma [/tex]

Answer:

no

Step-by-step explanation:

half of 250k would be 125k and if you add that to 250k that would be 375k

The linear equation of the graph is y = x - 5

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (1, -4) and (5, 0)

Calculate the slope (m) using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (0 + 4)/(5 - 1)

Evaluate

m = 1

The equation is then calculated as

y = m(x - x1) + y1

So, we have

y = 1 * (x - 5) + 0

Evaluate

y = x - 5

Hence, the linear equation of the graph is y = x - 5

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1

Answer: 53

Given, expression:

Given values: a = -2, b = 5, c = -3

Substitute them inside the expression:

distribute

evaluate

simplify

Answer:

5004300

Step-by-step explanation:

This number is already in standard form, but I can help if you want it in scientific notation, etc.

Answer:

Step-by-step explanation:

The exponential function for to represent the balance of the account will be y = 14 ( 1.16) ˣ

We have that:

The saving account has initially = $ 14

After 1 year, the balance became = $ 16.24

After 2 years, the balance became = $ 18.84
Difference in the initial amount and amount after 1 year = $ 16.24 - $ 14 = $ 2.24

Difference in the amount after 1 year and amount after 2 years = $ 18.84 - $ 16.24 = $ 2.60.

An exponential function is defined as y = a ˣ where x is a variable, and a is a constant called the base of the function.

Here, the exponential function will be:

y = 14 ( 1.16) ˣ where x is the time period

Money after 20 years = 14 ( 1.16)²⁰ = $ 272.45

Therefore, we get that, the exponential function for to represent the balance of the account will be y = 14 ( 1.16) ˣ

Learn more about exponential function here:

https://brainly.com/question/11464095

#SPJ4

Step-by-step explanation:

the vertex form is

y = a(x - h)² + k

a is a stretch factor, (h, k) are the coordinates of the vertex of the parabola.

so, the original x-coordinate of the vertex was 4.

when we move it 6 units to the left. we subtract 6 from the x-coordinate.

that makes the new h

4 - 6 = -2

answer B is correct.

and the equation of the translated function is

g(x) = -3(x + 2)² + 5

Answer:

75

Step-by-step explanation:

In math, mode is the number which appears most in the data set. When dealing with this, first put all of the numbers in numerical order, least to greatest.

19, 28, 31, 36, 44, 48, 55, 59, 68, 75, 75, 82, 93

Notice how 75 appear twice and all the other numbers appear once. Therefore the mode is 75.

Answer: $86.67

Step-by-step explanation:

34 x 7% OR 34 x .07 = 2.38

Skirt = $36.38

47 x 7% = 3.29 47+3.29 = 50.29

50.29+36.38=86.67

It should be noted that the square root and the cube root of the number has been attached.

It should be here that the cube root of a number is the factor that we multiply by itself three times in order to get the original number.

It should be noted that thee symbol for cube root is 3✓ . Finding the cube root of a number is the opposite of cubing a number.

On the other hand, the square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

It shouod be noted that for example, 4 and −4 are square roots of 16, because 4² = ² = 16.

Learn more about square root on:

https://brainly.com/question/12479579

#SPJ1

Answer:

2.61625

Step-by-step explanation:

x = 9 is not an extraneous solution of the equation.

√x=√(x-8) + 2

Squaring both the sides of the equation, we get

(√x)² = (√(x-8)+2)²

x = (✓(x - 8))² + 2² + 2(✓(x - 8))(2)

x = x - 8 + 4 + 2(✓(x - 8))(2)

Subtracting x on both the sides of the equation, we get

- 4 + 2(✓(x - 8))(2) = 0

Adding 4 on both the sides of the equation, we get

4(✓(x - 8)) = 4

Dividing both sides of the equation by 4, we get

(✓(x - 8)) = 1

Squaring again on both the sides of the equation

x - 8 = 1

x = 9

Check for extraneous solution by putting the value of x = 9 in the original equation, we get

✓9 = ✓(9 - 8) + 2

✓9 = ✓1 + 2

3 = 1 + 2

3 = 3

⇒ LHS = RHS

∴ x = 9 is not an extraneous solution of the equation.

Know more about Roots of Equations: - https://brainly.com/question/20816910

#SPJ4

The inverse function returns the original value for which the output of a function was given.

The inverse the function y = 2x + 1 is [tex]y^{-1[/tex] = x + 1/ 2.

Every logarithmic function has an exponential inverse, and vice versa.

An exponential function is a mathematical function with the formula f(x) = ax, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero.

The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

Let the equation be y = 2x + 1

y = 2x + 1

simplifying the equation, we get

⇒ 2x = y+1

⇒ x = y+1/ 2

Therefore, the inverse is [tex]y^{-1[/tex] = x+1/ 2

Let the composition function be

[y ₀ [tex]y^{-1[/tex]] (x) = y (x+1/2)

simplifying the above equation

[y ₀ [tex]y^{-1[/tex]] (x) = 2 (x+1/2)-1

[y ₀ [tex]y^{-1[/tex]] (x) = x

The inverse of y is the image of y in the line y = x.

To learn more about inverse function refer to:

https://brainly.com/question/10687170

#SPJ4

Answer:

f(n + 3) = 3n + 13

Step-by-step explanation:

f(x)=3x+4 then f(n+3)=

f(n + 3) = 3(n + 3) + 4

f(n + 3) = 3n + 9 + 4

f(n + 3) = 3n + 13

I hope this helps!

Answer:

C. SNL

Step-by-step explanation:

S is a point in the plane, N is a line in the plane, and L is a point on another line in the plane.

Answer: D XLJ

Step-by-step explanation:

Hope that helps

Gracias

Answer:

y=2880x+26500

Step-by-step explanation:

Basically, this question wants you to write an equation where you can figure out how much money Tony has at any year.

1. They already told us how much the raise was: $2880

2. He started off with $26,500, so we know we have to add that at the beginning. That is our y-intercept.

3. A function is written as y=mx+b. Y is what you are solving for. M is the constant change (x doesn't mean anything, it just tells us which number is m). B is the y-intercept, which is 26,500 in this case. Its what you are starting with. If he had no money, there would be nothing to start with. There would be no y-intercept.

4. Because he gets the same raise every year of 2880, that is constant. It does not change, but it increases constantly.

5. So, y=2880x+26500 is your answer.

Answer:

-18 + 30 s - 72 t + 12 u

Step-by-step explanation:

Expand the following:

-6 (3 - 5 s + 12 t - 2 u)

-6 (3 - 5 s + 12 t - 2 u) = -6×3 - 6 (-5 s) - 6×12 t - 6 (-2 u):

-6×3 - 6 (-5) s - 6×12 t - 6 (-2) u

-6×3 = -18:

-18 - 6 (-5) s - 6×12 t - 6 (-2) u

-6 (-5) = 30:

-18 + 30 s - 6×12 t - 6 (-2) u

-6×12 = -72:

-18 + 30 s + -72 t - 6 (-2) u

-6 (-2) = 12:

Answer:  -18 + 30 s - 72 t + 12 u

Answer:

4*12=48

48*8=384

384 square inches

The solution for the x for the inequality ||3x −1|+5| <1 is x<7/3

In the given problem basically, ||3x −1|+5| <1, we are dealing with the absolute value, which for real numbers is referred to as the non-negative value of that number without regard for consideration to its sign. Denoted by the symbol "| |', it is also known as the modulus of the number, and also with the inequality, which is a non-equal comparison between two numbers, additional mathematical expressions.

the inequality equation we got is ||3x-1|+5|<1

now we are taking the absolute value of it, we get

=>3x + 1 + 5 < 1

subtracting 1, and 5 from both sides, we get

=>3x < 1 + 5 + 1

=>3x < 7

=>x < 7/ 3

To know more about inequality, refer to the link brainly.com/question/20383699

#SPJ1

The partial derivatives for this problem are given as follows:

To find the partial derivatives of a function, we apply the same rules that we apply for complete derivatives, just considering the variables for which we are not deriving the function as constants.

For this problem, the function is given as follows:

x² + 4y² + 7z² = 1.

The function for z is given by:

7z² = 1 - x² - 4y²

[tex]z = \sqrt{\frac{1 - x^2 - 4y^2}{7}}[/tex]

As a function of x, the derivative will be given by:

[tex]\frac{\partial z}{\partial x} = -\frac{x}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]

Because the derivative of the inside term as a function of x is of -2x, then we apply the derivative of the root and simplify -2 with 2.

For the derivative as a function of y, we follow the same procedure, with the lone difference being the the inside derivative is of -8y, then:

[tex]\frac{\partial z}{\partial y} = -\frac{4y}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]

More can be learned about partial derivatives at https://brainly.com/question/17030339

#SPJ1

The complete representation of the expression is 7/ 10^-1 = 7 x 10^1

Index forms are simply defined as the exponent or power of a number raised to a variable or number.

It is known as the standard form of a number.

It is also known as the exponential representation of an expression or number .

Example;

The index form of 200 is 2 × 10^2

The index form of 40 is 4 × 10 ^1

Given the expression;

7/10-  = 7x10^

We have;

7/ 10^-1 = 7 x 10^1

Thus, the complete representation of the expression is 7/ 10^-1 = 7 x 10^1

Learn more about index forms here:

https://brainly.com/question/15361818

#SPJ1

Answer:

270

Step-by-step explanation:

With a 270 rotation you move 3 boxes

According to the question, the given rational expression can be simplified which is shown below:

Rational expression = [tex](\frac{x^{2}+8x+7}{x^{2} -x-12)} /(\frac{x^{2} +2x-8}{x^{2} +13x+24} )[/tex]

To simplify the given rational expression which is also an polynomial expression by the method of factors rule. Performing factors on numerator as well as on denominator. And later divide them with each other.

Rational expression = [tex](\frac{(x+7)(x+1)}{(x-4)(x+3)}) /(\frac{(x+4)(x-2)}{x^{2} +13x+24} )[/tex]

The factors of the denominator term is not possible. Therefore, the given expression cannot be simplified.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

https://brainly.com/question/1280754

#SPJ4

[tex] \frac{9}{3} - \frac{1}{6} = \frac{9 \times 2}{3 \times 2} - \frac{1}{6} = \frac{18}{6} - \frac{1}{6} \\ \\ \frac{18 - 1}{6} = \frac{17}{6} = 2 \frac{5}{6} [/tex]

Answer: 2 5/6

Step-by-step explanation:

9/3-1/6 is 2 5/6 what you do is cross multiply 9/3 and 1/6 to get 18/6 and 1/6 then you subtract across

Answer:

36792000

Step-by-step explanation:

you look up how many minutes in a year then multiply by 70