A bakery sells mocha cupcakes and vanilla cupcakes. It sold 391 mocha cupcakes in a day. 15% of the cupcakes sold that day were vanilla. How many total cupcakes did the bakery sell that day?

To convert 4 hours and 45 minutes to a fraction, we need to first convert the minutes to hours by dividing by 60 and then add the result to the 4 hours.

4 hours and 45 minutes = 4 + 45/60 hours = 4 + 0.75 hours

Now, we can write this as a fraction by expressing the decimal part as a fraction:

4 + 0.75 = 4 + 3/4 = (4*4 + 3)/4 = 19/4

Therefore, 4 hours and 45 minutes is equal to 19/4 when expressed as a fraction in simplest form.

The answer is (B) 4 3/4.

Answer:

Step-by-step explanation: P(x 3), Q(7, -1) and PQ= 5 .

To Find :

The possible value of x.​

Solution :

We know, distance between two points in coordinate plane is given by :

Therefore, the possible value of x are 10 and 4.

Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

The ratio of red to blue beads.

Own bracelets: 2 : 3

New bracelets: 2 : 3

Yes, the ratio of red to blue beads of her own bracelet and the new bracelet is the same.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Julie made her own bracelet with 30 red beads and 45 blue beads.

The ratio of red to blue beads.

= 30 : 45

= 6 : 9

= 2 : 3

Now,

The new bracelets.

The ratio of red to blue beads.

= 20 : 30

= 4 : 6

= 2 : 3

We see that,

The ratio of red to blue beads of her own bracelet and the new bracelet is the same.

Thus,

The ratio of red to blue beads.

Own bracelets: 2 : 3

New bracelets: 2 : 3

Yes, the ratio of red to blue beads of her own bracelet and the new bracelet is the same.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ1

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

Curl ups

Step-by-step explanation:

I'm not 100% sure, but it seems like the most logical answer to me.

Answer:

Trunk Lift

Step-by-step explanation:

Answer:

Step-by-step explanation:63

Answer:

f(x) = x + 2

I hope that the last few steps in the photo help!

Answer:

$0.32/ $0.31

Step-by-step explanation:

unit prices are determined by dividing the price by the number of units, OZ in this case. $4.50÷14oz= $0.32

3.75÷12oz= $0.31

The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

You can learn more about regression equation at

https://brainly.com/question/30401933

#SPJ11

Answer:

301 plates

Step-by-step explanation:

For numbers between 0 and 9, 1 plate was used each.

This means that 10 plates were used.

For numbers between 10 and 99, 2 plates were used for each.

This means that the number of plates used will be:

2 * 90 = 180 plates

For numbers between 100 and 136, 3 plates were used for each.

This means that the number of plates used is:

3 * 37 = 111 plates

The total number of plates used is therefore:

10 + 180 + 111 = 301 plates

301 plates were used in total.

In order to find the price increase in percentage terms, we divide the price difference by the cost price.

The difference:

Rate:

If we solve for \(x\) in this equation, it will give us the price increase as a percentage.

The price increase should be \(110\)%.

Answer:

False. To solve for x, we need to subtract 54 from both sides of the equation: x + 54 - 54 = 76 - 54 Simplifying: x = 22 Therefore, the statement "x + 54 = 76" is false because x does not equal 22, it is simply a solution to the equation.

Answer:

Step-by-step explanation:

x+54=76

Subtract 54 from both sides

x+54-54=76-54

Simplify expression

x=22

Answer: 1.2

Step-by-step explanation:

x : 15 = 8 : 100

100x = 15 * 8

100x = 120

x = 1.2

The answer is 1.2 cups of sorbet were used in this punch.

The number of items that will be correctly answered is 25 + 42 = 67.

How many of the 100 items are multiples of 4? To do so, we divide 100 by 4 and get 25 as the quotient. Therefore, we can conclude that there are 25 questions which are multiples of 4.

Also, we know that the student marks every item that is a multiple of 3 as false and all others as true. So, we need to find out how many multiples of 3 are there.

To do so, we divide 100 by 3 and get 33 as the quotient. Therefore, there are 33 questions that are multiples of 3.

Now, we can use the formula below to determine the number of questions answered correctly:

Number of questions answered correctly = (Number of correct answers for multiples of 4) + (Number of correct answers for non-multiples of 4)

Number of correct answers for multiples of 4 = 25

Number of correct answers for non-multiples of 4 = (100 - 25) - 33 = 42

Therefore, the number of items that will be correctly answered is 25 + 42 = 67.

To know more about Treu-False Test, refer to:

https://brainly.com/question/32186342

#SPJ11

Answer: B

Step-by-step explanation:

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

Learn more about range here: https://brainly.com/question/30339388

#SPJ11

Gabriela will claim $54550 as her taxable income.

The correct option is A.

Subtraction is a mathematic operation. Which is used to remove terms or objects in the expression.

Given:

Gabriela made $58,750 last year.

She paid $1200 in student loan interest and made a $3000 contribution to her IRA.

That means,

58750 - 1200 - 3000

= 54550

$54550 is the taxable income.

Hence, the taxable income is $54550.

To learn more about the subtraction;

https://brainly.com/question/2346316

#SPJ1

Step-by-step explanation:

Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.

The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:

0.48(1000 + g) = 0.5(1000) + 0.4(g)

Simplifying and solving for g:

480 + 0.48g = 500 + 0.4g

0.08g = 20

g = 250

Therefore, the number of girls in the school is 250.

Answer:

250

Step-by-step explanation:

Hi dear,

Firstly, let the girls be G

1000 + G = Total number of students

50% of boy = 1000 × 0.5 = 500

40% of girls = G × 0.4 = 0.4G

0.48 • (1000 + G) = 480 + 0.48G

480 + 0.48G = 500 + 0.4G

Collect Like Terms

0.48G - 0.4G = 500 - 480

0.08G = 20

G = 20/0.08

G = 250

Therefore, the girls are 250( two hundred and fifty)in the school

The graph of y = x^2e^(-2) has a point of inflection at the values of x where the concavity of the curve changes. In mathematical terms, a point of inflection occurs where the second derivative of the function changes sign.

To find the values of x that correspond to the points of inflection, we need to find the second derivative of the function and solve for the values of x that make the second derivative equal to zero or undefined.

First, let's find the first and second derivatives of y = x^2e^(-2):

First derivative:

dy/dx = 2xe^(-2) + x^2(-2)e^(-2) = 2xe^(-2) - 2x^2e^(-2)

Second derivative:

d^2y/dx^2 = 2e^(-2) - 4xe^(-2) = 2e^(-2)(1 - 2x)

Now, set the second derivative equal to zero and solve for x:

2e^(-2)(1 - 2x) = 0

Since e^(-2) is always positive and nonzero, we can ignore it for solving this equation. Therefore:

1 - 2x = 0

2x = 1

x = 1/2

So, the graph of y = x^2e^(-2) has a point of inflection at x = 1/2.

Learn more about points of inflection and curve concavity in calculus here:

https://brainly.com/question/29164810

#SPJ11

Answer:

\({ \rm{f(x) = - x - 1}} \\ \\{ \rm{f(6) = - 6 - 1}} \\ \\ { \rm{f(6) = - 7}}\)

Answer:

f(6) = -7

Step-by-step explanation:

It is given that x = 6. Plug in 6 for x in the given equation:

f(x) = -x - 1

f(6) = -(6) - 1

Note that when you are subtracting two negative numbers, you are really adding the two numbers:

f(6) = -(6) - 1

f(6) = -7

When x = 6, f(x) = -7

~

Answer:

Step-by-step explanation:

For this, multiply 150 × .20 = 30

Therefore, 20% of 150 is 30.

See about percentages at: https://brainly.com/question/24209747

Answer:

Discrete

Step-by-step explanation:

Discrete is the type of variable in which the number of auto accidents reported in a given month q

Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.

As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.

Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.

#SPJ4

Learn more on

https://brainly.com/question/13233983

The volume of each marble in a 26 liter glass tank is 12.

The tank's volume is listed as 26.

The tank requires 20.9 liters of water to fill when 85 marbles are placed inside.

So the volume of 85 marble

= 26-20.9 = 5.1

So, volume of each marble

= 5.1/85 = 0.06

Therefore, the volume that will be covered if William wishes to use 200 marbles is:

200*0.6 = 12

Therefore, the volume of marbles in a 26 litre tank is equal to 12

Water will therefore be needed to fill the tank.

=  26 - 12 = 14

Therefore, The volume of each marble in a 26 liter glass tank is 12.

Learn more about Volume problems:

https://brainly.com/question/10680378

#SPJ4

Complete question:

William has a 26-liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85 marbles, he will have to add 20.9 liters of water. What is the volume of each marble? How much water is necessary if William uses 200 marbles?

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

Learn more about Solving equations here:

brainly.com/question/13729904

#SPJ9

Answer: b

Step-by-step explanation:

it is right

Sum of two smaller sides of a triangle must be greater than the largest side. So, the required range value is 7 < x < 23.

Important information:

Sum of two smaller sides of a triangle must be greater than the largest side.

If x is the largest side of the triangle, then

\(8+15>x\)

\(23>x\)         ...(i)

If 15 is the largest side of the triangle, then

\(x+8>15\)

\(x>15-8\)

\(x>7\)            ...(ii)

Using (i) and (ii), we get

\(7<x<23\)

Therefore, the required range value is \(7<x<23\).

Find out more about 'Triangle' here:

https://brainly.com/question/14451253

The height of the pyramid is 16 feet.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the height of the pyramid.

The slant height of the pyramid is the hypotenuse of a right triangle whose legs are the height of the pyramid and half the length of the base of the pyramid. Since the base is a square, half the length of the base is 12 feet.

Using the Pythagorean theorem:

height² + 12² = 20²

height² = 20² - 12²

height² = 256

height = 16 feet

Therefore, the height of the pyramid is 16 feet.

To know more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ4

Answer:

B and D

Step-by-step explanation:

Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.

Answer:

the 2nd and 4th one

Step-by-step explanation:

4( c - 3 ) = 8

you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8

or you can divide both sides by 4 which will get you c - 3 = 2

4(c-3)/4 = c - 3

8/4 = 2

c - 3 = 2

Answer:

b.  105.12 in²

Step-by-step explanation:

A= 1/2 πr² +ab