Anna went to the ice cream shop and found that ice cream was $0.20 per scoop (s). Write an equation that shows how many scoops of ice cream that Anna can purchase with $5.00.

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

The evaluation of the table, equations, and graphs in the question are as follows;

First question;

Part A; The table does not represent a function

Part B; The value of f(300) is $123 represents the total cost for driving 300 miles

Second question;

Part A; The equation is; y = -2·x + 8

Part B; The graph can be obtained by finding the ordered pair of values for the first five hours and plotting the result on a graph, to form a straight line graph.

Third question;

Part A; The solution is; (2, -1)

Part B; Two solutions for f(x) are; (1.5, 0) and (0, 3)

Part C; The solution for the equation, g(x) = f(x) is the point (0, 3)

A function is rule, law or expression that maps the elements of one set A unto the elements of another set B such that each element of the set A maps unto exactly one element of the set B.

First question;

Part A: The value of x = 4 has two values of y = 2, and -2

The value of x = 9 has to values of output, y = 3 and -3

The function therefore is; y = f(x) = ±√x

The above function indicates that a value of x returns two values of y, which indicates that a vertical line drawn through the graph of the function f(x) = ±√x intersects the graph twice for values of x > 0, therefore, the equation, f(x) = ±√x, represented by the values in the table is not a function

Part B: The function for the total cost of driving a car is f(x) = 90 + 0.11·x

Where; f(x) = The total cost in dollars

x = The distance the car is driven in miles

Therefore, f(300) is obtained by plugging in x = 300 as follows;

f(300) = 90 + 0.11 × 300 = 123

The value of f(300) = $123

f(300) represents the total cost of driving the car for 300 miles

Second question set;

The velocity of the runner after one hour = 6 km/h

The velocity of the runner after three hours = 2 km/h

Part A:  The ordered pair of points of the function are; (1, 6) and (3, 2)

Making use of a linear model, we get;

Slope of the equation of the model, m = (2 - 6)/(3 - 1) = -2

The equation of the model is therefore; y - 6 = (-2) × (x - 1) = -2·x + 2

y = -2·x + 2 + 6

y = -2·x + 8

Where: y = The speed of the runner

x = The number of hours the runner has been running

Part B:

The graph of the equation can be plotted from the values of y obtained from the corresponding values of x for the first 5 hours as follows;

[tex]\begin{array}{|c|c|}x & y \\1 & 6 \\2 & 4\\3 & 2 \\4 & 0 \\5 & -2\\\end{bmatrix}[/tex]

Please find attached the graph of the velocity of the runner with time created using the above table of values found with MS Excel

Third Question;

Part A; The solution to pair of equation can be found from the point of intersection of their graphs

Therefore, the solution of the pair of equations represented by p(x) and f(x) is the point of intersection of the graph of f(x) and p(x), which is the point (2, -1)

Part B; Two solutions for the function f(x) can be obtained by the point of intersection of the x- and y-axis as follows;

The x-intercept of f(x) = (1.5, 0)

The y-intercept of f(x) = (0, 3)

Part C; The solution for g(x) = f(x), is the point of intersection of g(x) and f(x), which is the point (0, 3)

Learn more about functions here:

https://brainly.com/question/27957211

#SPJ1

The values of x and are 28° and 58° respectively

It is important to note the properties of a trapezium;

We then have that;

2y + (y + 6) = 180

4x + 2x + 12 = 180

From equation (1), we have;

3y + 6 = 180

collect like terms

3y = 180 -6

3y = 174

y = 58°

From equation (2), we have;

6x = 180 -12

6x = 168

x = 28°

Hence, the values are 28° and 58°

Learn more about trapezium here:

https://brainly.com/question/16904048

#SPJ1

The inequality that describes the base length of the triangle is b ≤ 28/h

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

The area of a triangle can be calculated using the following formula

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * b * h

Evaluate the products

Area = 1/2bh

Recall that

Area = At most 14 square feet

This means that

Area ≤ 14

So, we have

1/2bh ≤ 14

Multiply through by 2

bh ≤ 28

Divide both sides by h

b ≤ 28/h

Hence, the inequality is b ≤ 28/h

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

true 6=hepti

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The given functions f(x) and g(x) are linear functions.  Therefore, their inverses are a reflection about the line y = x.

The mapping rule for reflecting a point about the line y = x is:

To determine if f(x) and g(x) are inverses of each other:

If the y-value of one function equals the x-value of the other function (and the x-value of one function equals the y-value of the other function), the functions are inverses of each other.

Given functions:

[tex]\begin{cases}f(x) = 2x+5\\\\g(x)=\dfrac{x-5}{2} \end{cases}[/tex]

Ordered pair: (2, 9)

Substitute x = 2 into f(x):

[tex]\implies f(2)=2(2)+5=9[/tex]

Substitute x = 9 into g(x):

[tex]\implies g(9)=\dfrac{9-5}{2}=2[/tex]

Therefore, the functions are inverses of each other since the x-value of function f equals the y-value of function g, and the y-value of function f equals the x-value of function g.

Answer:

20.69 m

Step-by-step explanation:

36/360 * 2πr = 13

r = 130/2π = 20.69 m

The required length of the third side should be less than the sum of the other two sides or less than 37 in.

As mentioned, Kelsey is welding 3 metal rods to make a triangle. If the lengths of two rods are 15 in. and 22in.,

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the length of the third side,
The property of the triangle states that the sum of the two sides of a triangle is always greater than the length of the third side.
So
x < 15 + 22
x < 37

Thus, the required length of the third side should be less than the sum of the other two sides or less than 37.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Answer:

13 and 15

Step-by-step explanation:

We set up equations.

X=Y-2

2Y=3X-9

We change X=Y-2 into Y=X+2.

Substituting for Y, we get 2Y=2X+4=3X-9

We now solve for x.

2X+4=3X-9  |-2X

4=X-9  |+9

13=X.

X=13

Substituting for Y, we get that Y =15 from the equation Y=X+2.

So, X=13 and Y=15

Answer:

  0.63 or 5.37 seconds

Step-by-step explanation:

You want to know how long a ball was in the air when its height is 54 feet, and its height is described by -16s^2 +96s, for time (s) in seconds.

A graph shows the value of the height function is 54 when s = 0.63 or 5.37.

These solutions mean the ball was in the air 0.63 seconds when it passed 54 feet going up, and it was in the air 5.37 seconds when it was 54 feet in the air on the way down.

a) The percentage of scores that are less than 19 is of: 34.09%.

b) The amount out of the 1500 scores that would be greater than 21 is of: 774.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of the scores in this problem are given as follows:

[tex]\mu = 21.2, \sigma = 5.4[/tex]

The proportion of scores that are less than 19 is the p-value of Z when X = 19, hence:

Z = (19 - 21.2)/5.4

Z = -0.41.

Z = -0.41 has a p-value of 0.3409.

Hence the percentage is of 34.09%.

The proportion of scores that are greater than 21 is one subtracted by the p-value of Z when X = 21, hence:

Z = (21 - 21.2)/5.4

Z = -0.04

Z = -0.04 has a p-value of 0.484.

1 - 0.484 = 0.516.

Hence the amount out of the 1500 scores is given as follows:

0.516 x 1500 = 774 scores.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

You have points R(2, 10) and S(6, - 8).

There two ways to construct a right triangle with RS being a hypotenuse.

Please see both ways reflected in the attached.

One triangle is RST and another one is RSU with red or blue legs.

Answer:

x = 4

Step-by-step explanation:

7x = 3x + 16

7x - 3x = 16

4x = 16

4/4 x = 16/4

x = 4

n represents the number of friends, there must have been 2 friends with Matthew at the concert.

What is the arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

Let's call the number of friends n. The cost of the car service for the friends is 75 - 25 = 50 dollars. Since this cost is divided equally among the friends, each friend pays 50/n dollars.

The total cost for each friend, including the cost of the car service and the cost of dinner, is 25 dollars. Therefore, the cost of dinner for each friend is 25 - 50/n dollars.

Since the cost of dinner was divided equally among the friends, each friend paid 60/n dollars for dinner. Therefore, 25 - 50/n = 60/n.

Solving this equation for n, we get:

25 - 50/n = 60/n

50/n - 60/n = -25

10/n = 25

n = 2.5

Hence, n represents the number of friends, there must have been 2 friends with Matthew at the concert.

To learn more about the arithmetic operation visit,

https://brainly.com/question/4721701

#SPJ1

Answer:

0 muffins and 8 cookies

6 muffins and 4 cookies

Explain:

These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.

if you solve the equation you get k=-1

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity. Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.

Given

A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

Velocity,

v = √(1.65)² + (10.7)²

v = √2.722 + 114.49

v = √117.212

v = 10.82

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

To learn more about velocity, visit:

https://brainly.com/question/20039204

#SPJ4

Answer:

I think your answer is  [tex]\frac{2}{5} x-3[/tex]

Step-by-step explanation:

If the first two Gauss-Markov assumptions are met and heteroskedasticity exists in the error term, Var(ui|xi) = i2.

Examples. When there is a significant disparity in the magnitude of the observations, heteroscedasticity frequently develops. An old-fashioned illustration of heteroscedasticity is the relationship between income and food expenses. The variability of eating habits will rise as income does as well.

Because normal regression model (OLS) regression presumes that all royalties are taken from a population with constant variance, heteroscedasticity is a concern (homoscedasticity). The particles ought to have a standard deviation in order to meet the plugs and be capable of relying on the results.

To know more about heteroskedasticity visit:

https://brainly.com/question/13782974

#SPJ4

Answer:10x+2y=38, where x is the dollar cost of cinnamon and y the dollar cost of the spice.1

6x+8y=80multiply the top by -4-40x-8y=-15216x+8y=80.

Add them and y is eliminated.-24x=-72

Step-by-step explanation:

Answer:

y = 1/2x² - 2x - 6

solving for m

distribute into parentheses

3m + 15 + 18 -2m = 29

simplify

m + 33 = 29

subtract

m = -4

verify

3(-4+5) -2(-9-4) = 29

3 + 26 = 29

29 = 29

true

m = -4

hope this helps :)

jeron

Answer:

(4,-10)

Step-by-step explanation:

Graphing calculator

Answer:

$162

Step-by-step explanation:

8% of 150 = 12 + 150

Answer:

see explanation

Step-by-step explanation:

- 1x + 4y = 12 , that is

- x + 4y = 12 ( add x to both sides )

4y = 12 + x ( divide each term by 4 )

y = 3 + [tex]\frac{1}{4}[/tex] x

Answer:yes

Step-by-step explanation:

As two angles are Complementary Angles they sum up to 90.

So value of d is 10.

Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.

If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.

60° + 30° in the figure below equals 90°. These two angles are therefore complimentary according to the "Definition of Complementary Angles." The term "complement" refers to each angle that is one of the complimentary angles. Here,

The opposite of 30° is 60°.

The opposite of 60° is 30°.

Given;

24,(7d-4) are complementary angles

So, 24°+7d-4 =90°;

⇒7d-4=90-24;

⇒7d-4=66;

⇒7d=70;

⇒d=10.

As two angles are Complementary Angles they sum up to 90.

So value of d is 10.

To refer more about Complementary Angles visit:

https://brainly.com/question/16281260

#SPJ1

Answer:

To find three integer or decimal solutions to the equation 5x + 4y = 20, we can first divide both sides of the equation by the GCF of the coefficients, which is 1. This gives us the equation 5x + 4y = 20/1, which can be rewritten as 5x + 4y = 20. We can then use the substitution method to solve for x in terms of y, by setting 4y = 20 - 5x and solving for x. This gives us x = (20 - 4y) / 5. Substituting this expression for x into the original equation, we get 5((20 - 4y) / 5) + 4y = 20, which simplifies to 20 - 4y + 4y = 20, or 20 = 20. This means that any value of y that satisfies the equation will also satisfy the original equation.

For example, if we choose y = 3, then x = (20 - 4 * 3) / 5 = 2, and the solution (x, y) = (2, 3) satisfies the equation 5x + 4y = 20. Similarly, if we choose y = 0, then x = (20 - 4 * 0) / 5 = 4, and the solution (x, y) = (4, 0) satisfies the equation. Finally, if we choose y = -1, then x = (20 - 4 * -1) / 5 = 5, and the solution (x, y) = (5, -1) satisfies the equation.

The solution set for the equation 5x + 4y = 20 is the set of all ordered pairs (x, y) that satisfy the equation. The three solutions we found are (2, 3), (4, 0), and (5, -1), and these solutions can be plotted on a coordinate grid to show the solution set. The graph of the solution set is a line that passes through the points (2, 3), (4, 0), and (5, -1).

Step-by-step explanation: