Teagan went to Gamer Realm to buy new video games. Gamer Realm was having a sale: $65 for 4 video games. She bought 3 games for herself and one game for her friend, Diego, but Teagan does not know how much Diego owes her for the one game. What is the unit price of the video games

Answer:

Hence, the answer is \(x>71.1515\)

Step-by-step explanation:

We have,

\(n=100,\mu=70,\sigma=7\)

The top percentage of the students is \(5\%\)

The  lower percentage of the students is \(95\%\)

The lowest \(95\%\) is the left area from the normal distribution table, the area \(0.95\) lies in the z-table

\(z=1.645\)       from the z- table

\(P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645\)

\(\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu\)

   \(>1.645\times \frac{7}{\sqrt{100}} +70\)

   \(\Rightarrow x>71.1515\)

Answer: 24 problems done before dinner

Step-by-step explanation:

Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner

Answer:

five time in parenthesis x plus three close parenthesis minus six plus seven x

Step-by-step explanation:

five time in parenthesis x plus three close parenthesis minus six plus seven x

Answer:

\(5 \sqrt{2} \)

Step-by-step explanation:

\( \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} \)

Answer:

Step-by-step explanation:

208

Answer: do you have a picture for it?

Step-by-step explanation:

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞). The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given function y = \(3^x\) is an exponential function the graph for this function is given ;

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞)

The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

As x approaches +∞ the function y also approaches +∞.

Since, the exponential function y = 3x is graphed, with the domain being (-∞ to +∞) and the range being (0 to +∞).

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Answer:

500 de no ficcion y 1500 de ficcion

Step-by-step explanation:

si tomamos que hay 2000 libros hay que buscar un numero que multiplicado 3 veces por si mismo nos de 2000, como ya tenemos el 500 que seria los libros de no ficcion, ahora tenemos que e si al multiplicarlo por 3 veces nos da los 1500 que nos falta para completar 2000

500 + 1500 = 2000

a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.

b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).

c) The probability =3.05.

d) The mean of X is 2.46.

e) The standard deviation of X is 1.2.

f) The probability 68.27%.

It is used to measure the spread of data around the mean or expected value.

a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.

b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).

c) The probability of exactly 3 people having been to Disneyland is 3.05.

This is calculated using the binomial probability formula:

P(x=3) = (6³) * (0.41³) * (0.59³)

= 3.05

d) The mean of X is 2.46. This is calculated using the binomial mean formula:

μ = n * p

= 6 * 0.41

= 2.46

e) The standard deviation of X is 1.2. This is calculated using the binomial standard deviation formula:

σ = √[n * p * (1 - p)]

= √[6 * 0.41 * (1 - 0.41)]

= 1.2

f) The probability that the number of Californians in the sample that have been to Disneyland is within one standard deviation of the mean is 68.27%.

This is calculated using the standard normal distribution z-score formula:

P(1.19<z<2.73) = 0.6827

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On the range (21, 26), d(t) changes at an average rate of 1.05. On the range (25, 26), the average rate of change of d(t) is 0.98. On the range (25.9, 26), the average rate of change of d(t) is 5.5.

It displays the typical rate of change of the function for each unit during that time. In the function graph, it is calculated using the slope of the line connecting the interval's ends.

The formula average rate of change = (f(b) - f(a)) / 2 can be used to get the average rate of change of a function on an interval (b - a)

This formula allows us to determine:

The average d(t) change for the range (21, 26) is as follows:

f(a) = d(21) = 2100/51 ≈ 41.18

f(b) = d(26) = 2600/56 ≈ 46.43

average rate of change = (f(b) - f(a)) / (b - a) = (46.43 - 41.18) / (26 - 21) = 1.05

The average change in d(t) for the range (25, 26) is as follows:

f(a) = d(25) = 2500/55 ≈ 45.45

f(b) = d(26) = 2600/56 ≈ 46.43

average rate of change = (f(b) - f(a)) / (b - a) = (46.43 - 45.45) / (26 - 25) = 0.98

The average d(t) change for the range (25.9, 26) was as follows:

f(a) = d(25.9) ≈ 46.18

f(b) = d(26) = 2600/56 ≈ 46.43

average rate of change = (f(b) - f(a)) / (b - a) = (46.43 - 46.18) / (26 - 25.9) ≈ 5.5

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Answer:

2) 25.48

The diameter of the circle     d = 25.48                

Step-by-step explanation:

Step(i):-

we know that the diameter of a circle  d = 2 r

The circumference of the circle = 2π r

Given that the circumference of the circle = 80 feet

Step(ii):-

 The circumference of the circle = 2π r = 80

                                ⇒ π (2r )= 80

                               ⇒  πd = 80

                               ⇒ \(d = \frac{80}{3.14}\)

                                  d = 25.477

Final answer:-

The diameter of the circle     d = 25.477                                

Answer:

Step-by-step explanation:

Answer: -3x

Step-by-step explanation:

Answer:

-3.000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(-3*x+7)=0

STEP1:

Equation of a Straight Line

1.1 Solve y+3x-7  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on the Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y-axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y+3x-7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/3 Our line therefore "cuts" the x-axis at x= 2.33333

 x-intercept = 7/3  =  2.33333

Calculate the Slope :

The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 7.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -6.000/2.000 = -3.000

Geometric figure: Straight Line

Slope = -6.000/2.000 = -3.000

x-intercept = 7/3 = 2.33333

y-intercept = 7/1 = 7.00000

Hope this helps!

Brain-List?

Answer:

(-3,1)

Step-by-step explanation:

The solution is where in the graph, both lines intersect. In this case they are intersect at (-3,1), so the answer is (-3,1)

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Complementary angles add up to 90°, write an equation using this knowledge and the information provided in the question:

66°+x° = 90°

Subtract 66° from both sides:

x° = 24°

Answer:

1080

Step-by-step explanation:

5(3!)^3

5(6)^3

5(216)

1080

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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Answer:

342.24 units²

Step-by-step explanation:

The area of one of the 8 triangular sections of the octagon is ...

A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section

The area of the octagon is 8 times that, so is ...

A = 8·(1/2)·11²·sin(360°/8) = 242√2

A ≈ 342.24 units²

Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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3x - 14 here, 2x + 10 here. Consequently, X has a value of 14. In algebra, the letter "x" is frequently used to denote a value that is still unknown. It is referred to as a "variable" or "unknown" at times.

In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. x in x+2=7 is a variable. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x." Examine: Variable

Bring the variable to one side of the equation, and then move all the other values to the other side by performing arithmetic operations on both sides of the equation to find the value of x. To determine the answer, simplify the values.

An experiment's independent variable is a variable that stands in for a variable that is being altered. In equations, the independent variable is frequently denoted by the variable x. X is the variable here.

\($$3 x-14-(2 x)=0$$\\\)

We shift every term to the left:

\($3 x-14-(2 x)=0$\)

We combine all the numbers and all the variables.

\($$x-14=0$$\)

All terms containing x are shifted to the left, and all other terms are shifted to the right.

\($$x=14$$\)

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Given:

The base area of a right circular cone is \(\dfrac{1}{4}\) of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = \(\pi r^2\)

Total surface area of a right circular cone = \(\pi rl+\pi r^2\)

where, r is radius and l is slant height.

According to the question,

\(\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)\)

Multiply both sides by.

\(4\pi r^2=\pi rl+\pi r^2\)

\(4\pi r^2-\pi r^2=\pi rl\)

\(3\pi r^2=\pi rl\)

Cancel out the common factors from both sides.

\(3r=l\)

Now, ratio of the radius  to the slant height is

\(\dfrac{r}{l}=\dfrac{r}{3r}\)

\(\dfrac{r}{l}=\dfrac{1}{3}\)

Therefore, the ratio of the radius  to the slant height is 1:3.