Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.

Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?

Two-sevenths
Two-fifths

The simplest form of the expression can be shown as;

(y - 4) (y + 1)/(y + 4) (y - 3)

Simplifying algebraic expressions involves reducing or combining like terms, applying the distributive property, and performing operations such as addition, subtraction, multiplication, and division.

Step 1;

We know that we can write the expression as shown in the form;

(y - 1) (y + 2)/ (y + 3) ( y + 4) ÷ (y + 2) (y - 5)/(y + 3) ( y - 4) * (y + 1) (y - 5)/ (y -1) (y - 3)

Step 2;

(y - 1) (y + 2)/ (y + 3) ( y + 4) * (y + 3) ( y - 4)/(y + 2) (y - 5) * (y + 1) (y - 5)/ (y -1) (y - 3)

Step 3;

The simplest form then becomes;

(y - 4) (y + 1)/(y + 4) (y - 3)

Learn more about algebraic expressions:https://brainly.com/question/28884894

#SPJ1

4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00

Answer:

37

Step-by-step explanation:

38 + u actually thought lol

Answer:

She would cut the pizzas into 3rds.

Answer:

Depending on how big the pizza is I guess.

If it's three people, Jane can either...

Cut the pizza into 6 slices, 2 for everyone

Cut the pizza into 12 slices, 4 for everyone

Basically into thirds lol

Hope this helped :)

Circumference of a circular disc (circle)of radius 14 cm = 2πr = 2 x 22/7 x 14 = 88 cm

A circle's circumference is its distance from its center.It is equal to 2 times the product of pi (π) and the radius (r). In this question, we need to calculate the circumference of a circular disc of radius 14 cm. To do this, we will first multiply pi (π) with the radius (r) to get the circumference of the circle. Pi (π) is equal to 22/7. Therefore, the circumference of the circular disc of radius 14 cm is equal to

2 x 22/7 x 14 = 88 cm.

Thus, the circumference of the circular disc of radius 14 cm is 88 cm.

Learn more about circle here

https://brainly.com/question/11878555

#SPJ4

Step-by-step explanation:

A o option

-(-45)

hope it helps

The treatment sum of squares measures the variability of the sample treatment means around the overall mean.

A mean can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

This ultimately implies that, a mean score is an average score and it can be calculated by dividing the total number of scores obtained by total number of samples in a data set (population).

In ANOVA, the following sum of squares can be used to measure the variation about the mean:

Read more on mean here: https://brainly.com/question/17227123

#SPJ4

Answer: 1= - 10 + c

Step-by-step explanation:

Here, x= 5 , y= 1 and m= -2

So, equation will be, y= mx +c

                                 ⇒ 1 = (-2)x5 +c

                                 ⇒ 1= - 10 + c    

Answer:

-10+c is the answer

Step-by-step explanation:

A complex sentence is a sentence with one independent clause and at least one dependent clause. It works best when you need to provide more information to explain or modify your sentence's main point

Given that, the population is approximately 20 million. They play the game on average 5 times per day. Each game averages about 5 minutes.

Approximate estimate of how many people are playing it right now is calculated below: Number of people playing right now = 20 million x 60% x 5 times per day/24 hours x 5 minutes/60 minutes= 150 people playing right now therefore, approximately 150 people are playing the game Awesome Logic Quiz at this moment. Awesome Logic Quiz is a popular mobile game in Australia that's very addictive. It's estimated that 60% of the Australian population has the game, and they play it an average of 5 times per day. Each game averages about 5 minutes. We've calculated that approximately 150 people are playing the game right now.

Learn more about population

https://brainly.com/question/15889243

#SPJ11

To determine which is greater, we can calculate the area of each bubble and compare them.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

For the single bubble with a radius of 7 cm, the area would be:

A = π(7 cm)^2 = 153.94 cm^2

For each of the seven bubbles with a radius of 1 cm, the area would be:

A = π(1 cm)^2 = 3.14 cm^2

The total area of all seven bubbles would be:

Total area = 7 x 3.14 cm^2 = 21.98 cm^2

Comparing the two areas, we can see that the area of the single bubble with a radius of 7 cm is greater than the total area of the seven bubbles with a radius of 1 cm.

Therefore, the area of a bubble with a radius of 7 cm is greater than the total area of seven bubbles, each with a radius of 1 cm.

Answer:

The volume of the cylinder is 90 cubic inches. Choice E

Step-by-step explanation:

The Volume of a Cone and a Cylinder

Given a cone of radius r and height h, the volume is calculated as:

\(\displaystyle V_{cone}=\frac{1}{3}\cdot \pi r^2h\)

If we have a cylinder with the same dimensions, the volume is:

\(V_{cyl}=\pi r^2h\)

Substituting from the first formula:

\(V_{cyl}=3V_{cone}=3*30\)

\(V_{cyl}=90\)

The volume of the cylinder is 90 cubic inches. Choice E

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

Learn more about continuous function here: brainly.com/question/28228313

#SPJ11

Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

To learn more  refer below:

https://brainly.com/question/18495602

#SPJ11

In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

The strength of the association is measured by the sample correlation coefficient, or r. The statistical significance of correlations is also examined.

For describing straightforward links between data, correlations are helpful. Consider a dataset of campgrounds in a park in the mountains as an illustration. You're interested in finding out if the height of the campsite—how high up the mountain it is—and the summer's typical high temperature are related.

Hence, In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

learn more about correlation click here:

https://brainly.com/question/4219149

#SPJ4

Answer:

it's 4x-2y<12

Step-by-step explanation:

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

Answer:

9

Step-by-step explanation:

3 + 0 = 3

-2 + 6 = 4

2 + 18 = 20

From this:

1 + 8 = 9

Answer:

A.9

Step-by-step explanation:

✓3 + 0 = 3

✓ -2 + 6 = 4

✓ 1 + 8 = 9

✓ 2 + 18 = 20 beacuse of this the answer is 9

In the subtraction using 8-bit representation and 2's complement, the given numbers are converted to binary. The 2's complement of the subtrahend is found by inverting the bits and adding 1. The subtraction is performed by adding the minuend and the 2's complement of the subtrahend. If the result is negative, its 2's complement is taken to find the positive value. The final answer is obtained as the positive value with a minus sign if applicable.

a. To perform the subtraction 42 - 18 using 8-bit representation and 2's complement of the subtrahend:

Convert the numbers to their binary representation:

42 (decimal) = 00101010 (8-bit binary)

18 (decimal) = 00010010 (8-bit binary)

Find the 2's complement of the subtrahend (18):

Invert all the bits: 00010010 → 11101101

Add 1: 11101101 + 00000001 = 11101110

Perform the subtraction by adding the minuend (42) and the 2's complement of the subtrahend (-18):

00101010 (42) + 11101110 (-18's 2's complement) = 10011000 (-40 in decimal)

Since the result is negative (-40), we take its 2's complement to find the positive value:

Invert all the bits: 10011000 → 01100111

Add 1: 01100111 + 00000001 = 01101000 (40 in decimal)

Therefore, 42 - 18 = 40.

b. To perform the subtraction 17 - 38 using 8-bit representation and 2's complement of the subtrahend:

Convert the numbers to their binary representation:

17 (decimal) = 00010001 (8-bit binary)

38 (decimal) = 00100110 (8-bit binary)

Find the 2's complement of the subtrahend (38):

Invert all the bits: 00100110 → 11011001

Add 1: 11011001 + 00000001 = 11011010

Perform the subtraction by adding the minuend (17) and the 2's complement of the subtrahend (-38):

00010001 (17) + 11011010 (-38's 2's complement) = 11101011 (-21 in decimal)

Since the result is negative (-21), we take its 2's complement to find the positive value:

Invert all the bits: 11101011 → 00010100

Add 1: 00010100 + 00000001 = 00010101 (21 in decimal)

Therefore, 17 - 38 = -21, or in positive form, 21 with a minus sign (-21).

To know more about binary refer here:

https://brainly.com/question/33333942

#SPJ11

The second fundamental theorem of calculus states that if f is continuous on [a,b] and F is an antiderivative of f on the same interval, then:

             \(\int\limits^b_a\)f(x) dx = F(b) - F(a)

The second fundamental theorem of calculus states that if f is continuous on [a,b] and F is an antiderivative of f on the same interval, then:

             \(\int\limits^b_a\)f(x) dx = F(b) - F(a)

It uses the mean value theorem of integration and the limit of an infinite Riemann summation. But I tried coming up with a proof and it was barely two lines. Here it goes:

Since F is an antiderivative of f, we have dFdx=f(x). Multiplying both sides by dx, we obtain dF=f(x)dx. Now, dF is just the small change in F and f(x)dx represents the infinitesimal area bounded by the curve and the x axis. So integrating both sides, we arrive at the required result.

To learn more about fundamental theorem:

https://brainly.com/question/29015928

#SPJ4

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

B. 77

Step-by-step explanation:

7 + x = 84

Subtract 7 from both sides

x = 77

The area of the shaded region is the area of the rectangle minus the area of the triangle

Find the coordinates of point E: Since point E lies halfway between sides AB and CD, and halfway between sides AD and BC, we can find its coordinates by taking the average of the coordinates of the opposite vertices. That is, if A = (a, b), B = (c, d), C = (e, f), and D = (g, h), then the coordinates of E are ((a+g)/2, (b+h)/2).

Find the equation of the diagonal BD: The diagonal BD passes through points B and D, so we can find its equation by using the point-slope form: y - d = (h - d)/(g - c) * (x - c).

Find the equation of the line perpendicular to BD passing through E: Since the shaded region is formed by the rectangle and the triangle outside it, we can find the equation of the line perpendicular to BD passing through E to find the height of the triangle. The slope of the line perpendicular to BD is the negative reciprocal of the slope of BD, so it is -(g - c)/(h - d). We can use the point-slope form again to find the equation of the line: y - ((b+h)/2) = -(g-c)/(h-d) * (x - (a+g)/2).

Find the intersection of the two lines: The intersection of the two lines is the point where the height of the triangle intersects the diagonal BD. We can solve the system of equations formed by the two lines to find this point.

Find the area of the triangle: Once we have the height of the triangle and the length of the base (which is the length of diagonal BD), we can use the formula for the area of a triangle: A = (1/2)bh, where b is the length of the base and h is the height.

Find the area of the shaded region: The area of the shaded region is the area of the rectangle minus the area of the triangle.

To learn more about perpendicular visit:

https://brainly.com/question/11707949

#SPJ11

Answer:

for number 7 it's 21+9=30

21-9=12

Answer:

The two numbers are 18 and 12

Step-by-step explanation:

30-18= 12

18+12= 30

Answer:

so your answer is below

x=1/2

y=1

Answer:

its 6

Step-by-step explanation:

divided 12 with 2 and divided 30 with 5

Han's retirement account earns $247,163.25 in simple interest.

To find the simplest interest, we need to use the formula:

Simple Interest = Principal × Rate × Time

In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:

Time = Simple Interest ÷ (Principal × Rate)

Plugging in the values, we get:

Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years

Therefore, the simplest interest is:

Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25

So Han's retirement account earns $247,163.25 in simple interest.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

The unicycle wheelof diameter 30 inches travels 282.6 inches in 6 revolution.

An inch can be defined as a unit of length in the customary system of measurement.

To calculate the amount of inches the unicycle will travel in 6 revolution, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the unicycle wheel travels 282.6 inches.

Learn more about inches here: https://brainly.com/question/194589

#SPJ1