Jamie sold 236 boxes of Starburst candy for $1.25 each and 159 packages of licorice for $1.65 each. How much more money did Jamie make selling Starburst than Licorice?

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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The solution for question a is -2.00. The solution for question b is  0.6687. The solution for question c is 10 students. We can show the working in the following manner.

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

To answer this question, we need to convert the time of one hour (60 minutes) to a z-score using the mean and standard deviation provided. We have:

z = (60 - 80) / 10 = -2.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in one hour or less is approximately 0.0228, rounded to 4 decimal places.

b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?

To answer this question, we need to find the probability of completing the exam in less than 75 minutes and subtract the probability of completing the exam in less than 60 minutes. We have:

z1 = (60 - 80) / 10 = -2.00

z2 = (75 - 80) / 10 = -0.50

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in less than 75 minutes is approximately 0.6915 and the probability of completing the exam in less than 60 minutes is approximately 0.0228, as calculated in part a.

So, the probability of completing the exam in more than 60 minutes but less than 75 minutes is approximately:

0.6915 - 0.0228 = 0.6687, rounded to 4 decimal places.

c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the next whole number)?

To answer this question, we need to find the number of students whose exam time is greater than 90 minutes, which is the maximum time allowed. We can use the normal distribution with the given mean and standard deviation to calculate this.

First, we need to find the z-score corresponding to a time of 90 minutes:

z = (90 - 80) / 10 = 1.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in more than 90 minutes is approximately 0.1587.

Therefore, the expected number of students who will be unable to complete the exam in the allotted time is:

60 x 0.1587 = 9.52, which rounds up to 10 students (to the next whole number).

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The value of the annuity after the last investment is $141,920.

You are looking for the future value of an annuity.

Future value of annuity = Annuity x Future value interest factor of annuity

Because this annuity is compounded semi-annually, you need to convert the figures to a semi-annual basis:

Number of periods = 6 years x 2 = 12 semi annual periods

Interest = 6% / 2 = 3% per semi annum

Future value of annuity = Annuity x Future value interest factor of annuity 3%, 12 periods

= 10,000 x 14.1920

= $141,920

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Answer: 141900

Step-by-step explanation:

Answer:

Geometric

Step-by-step explanation:

The given sequence is; 39, 156, 468, and 936 Geometric sequence.

Three parameters differentiate between which geometric sequence we're talking about. The first parameter is the initial value of the sequence. The second parameter is the quantity by which we multiply the previous term to get the next term. And the third parameter is the length of the sequence. It can be finite or infinite.

Consider that the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r.

Thus, the nth term of such sequence would be;  \(T_n = ar^{n-1}\)

We have been given that the sequence is; 39, 156, 468, 936

Hence, the given sequence is; 39, 156, 468, and 936 Geometric sequence.

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Answer:

-1.118 is the required value of tan theta

Answer:

What

Step-by-step explanation:

Answer:

EM = 17.5

Step-by-step explanation: the midpoint of 35 is 17.5

Answer:

Sun-Li will be able to ride 12 rides. (30-5)/2=24

Step-by-step explanation:

Answer:

sm like this hope this helps your welcome

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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Answer:

y= -8x-2

Step-by-step explanation:

30-(-42)/-4-5 = slope = 72/-9 simplified to -8

Now that you have the slope, plug in the points

30=-8(-4)+b

30=32-2

B= -2

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

The joint probabilities are: P(A and B) = 0.36, P(A and C) = 0.1, P(AC and B) = 0.07.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 cannot occur, and an event with probability 1 is certain to occur. The probability of an event A is usually written as P(A) and is calculated as the number of favorable outcomes divided by the total number of possible outcomes in the sample space. For example, if a fair six-sided die is rolled, the sample space is the set of all possible outcomes (1, 2, 3, 4, 5, 6), and the probability of rolling a 4 is 1/6. Probability is used in many fields to make predictions, draw inferences, and make decisions under uncertainty.

We can use the formula for conditional probability to calculate the joint probabilities:

P(A and B) = P(B | A) * P(A) = .4 * .9 = .36

P(A and C) = P(A) * P(C | A) = .9 * P(C) / P(A) = .9 * .1 / .9 = .1

P(AC and B) = P(B | AC) * P(AC) = .7 * .1 = .07

So, the joint probabilities are:

P(A and B) = .36

P(A and C) = .1

P(AC and B) = .07

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The distance between points A and B is 7 units.

To find the distance between two points, we use the distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]

In this case, the coordinates of point A are (-3, 3) and the coordinates of point B are (4, 3). We can use these coordinates to plug into the distance formula:

d = √[(4 - (-3))^2 + (3 - 3)^2]

Simplifying the equation, we get:

d = √[7^2 + 0^2]
d = √49
d = 7

Therefore, the distance between points A and B is 7 units.

A right triangle is a triangle that has one right angle (90 degrees). In this case, we only have two points, so we cannot confirm if it is a right triangle or not. However, if we were given a third point that forms a triangle with points A and B, we could use the Pythagorean theorem to determine if it is a right triangle.
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Wrong step: 6

she should have, divided each side by 3

Answer:

true im not sure

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

You simply just mutliply them

3*5*2=30

12.5ml of a 60% solution is required to create 50ml of a 15% amount solution. You can compute this using a proportion.

50% x 15% = 7.5 ml, and 7.5 ml x 60% = 12.5 ml

12.5ml of a 60% solution is required to create 50ml of a 15% solution. You can compute this using a proportion. To begin with, we must ascertain how much of the 15% solution is required to make 50ml. To accomplish this, multiply 50 ml by 15%, which yields the answer of 7.5 ml. This means that to make 50ml, 7.5ml of the 15% solution is required. The next step is to calculate how much of the 60% solution is needed to create 7.5ml. To do this, divide 7.5 ml by 60%, which yields the result 12.5 ml. This indicates that in order to create 50ml of the 60% solution, 12.5ml of the 60% solution

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Answer:

4.95

Step-by-step explanation:

Practice and studying LOL caculator

Answer:

the range is 0 to +infinity

Step-by-step explanation:

you can draw the function to check

A function assigns the value of each element of one set to the other specific element of another set. The range of the function is [-3,∞).

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

Given that the domain of the function is x∈R, therefore, if we plot the function on the graph, then the function will look as shown below.

Now, to know the range of the function we need to look at all the values that y can take. Therefore, the value that y can take is -3 to +∞.

Hence, the range of the function is [-3,∞).

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C. 0 + 4y = 2

x + y =7 .. (1)

x - 3y = 5 ..(2)

Subtracting equation (2) from (1) , we get,

•°•4y = 2

Answer:

x = 5

Step-by-step explanation:

A zero is another word for an x-intercept, which is where the function crosses the x-axis on a graph. One way to find the x-intercept is by graphing the equation. I did so, and I found that the x-intercept of this function is x=5. I'll attach a photo of the function below.

Hope this helps! If you feel this helped, feel free to give me Brainliest. :)

Answer:

5.

Step-by-step explanation:

I graphed it on my calculator, and the x intercept of this function is x=5.

Given:

The function is

\(f(x)=2x^3-x^2-13x-6\)

To find:

The linear factors of the given function.

Solution:

We have,

\(f(x)=2x^3-x^2-13x-6\)

Splitting the middle terms, it can be rewritten as

\(f(x)=2x^3-(6-5)x^2-(15-2)x-6\)

\(f(x)=2x^3-6x^2+5x^2-15x+2x-6\)

\(f(x)=2x^2(x-3)+5x(x-3)+2(x-3)\)

\(f(x)=(x-3)(2x^2+5x+2)\)

Now, Splitting the middle term, we get

\(f(x)=(x-3)(2x^2+4x+x+2)\)

\(f(x)=(x-3)(2x(x+2)+1(x+2))\)

\(f(x)=(x-3)(x+2)(2x+1)\)

Therefore, the three linear factors of given function are (x-3), (x+2) and (2x+1). Hence, option 4, 5 and 6 are correct.

The linear factors of the given function f(x) = 2x³ - x² - 13x - 6 are;

(x - 3), (x + 2) and (2x + 1)

We are given the function;

f(x) = 2x³ - x² - 13x - 6

Let us start by splitting the terms at the middle. Since last term is 6, we can write 1 before x² as (6 - 5)

Also, we can write 13 as (15 - 2). Thus;

f(x) = 2x³ - (6 - 5)x² - (15 - 2)x - 6

Expanding gives us;

f(x) = 2x³ - 6x² + 5x² - 15x + 2x - 6

Factorizing gives us;

f(x) = 2x²(x - 3) + 5x(x - 3) + 2(x - 3)

(x - 3) is common and so we factorize it out to get;

f(x) = (x - 3)(2x² + 5x + 2)

Let us split (2x² + 5x + 2); 5 can be expressed as 4 + 1.Thus;

f(x) = (x - 3)(2x² + (4 + 1)x + 2)

f(x) = (x - 3)(2x² + 4x + x + 2)

Factorizing again gives;

f(x) = (x - 3)(2x(x + 2) + 1(x +2))

f(x) = (x - 3)(x + 2)(2x + 1)

In conclusion, the linear factors of the given function f(x) = 2x³ - x² - 13x - 6 are; (x - 3), (x + 2) and (2x + 1)

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Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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