A local donut shop charges $0.89 per donut, plus a one-time charge of $0.15 for the box, the service, etc. (a) write a function that expresses the amount charged as a function of the number of donuts bought. (b) use the function from (a) to determine the price of a box with a dozen donuts in it. (c) use the function from (a) to determine how many donuts would in a box that cost $6.38.

Answer:

c

Step-by-step explanation:

The odds that a carton of eggs will have at least one cracked egg is 97.5 %

The question has to do with probability

Probability is the likelihood for an event to occur. It is given by P(event) = number of required outcomes/total number of possible outcomes.

Given that the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%. Let the probability of at least one cracked egg be P(egg ≤ 1) = 2.5% = 0.025

Now, since we require the probability of  that a carton of eggs will have at least one cracked egg, that is the number of cracked is greater than 1.

Let the probability of cracked eggs greater than 1 be P(egg ≥ 1).

From the law of probability

P(egg ≤ 1) + P(egg ≥ 1) = 1

So,  P(egg ≥ 1) = 1 -  P(egg ≤ 1)

P(egg ≥ 1) = 1 -  0.025

P(egg ≥ 1) = 0.975

P(egg ≥ 1) = 0.975 × 100 %

P(egg ≥ 1) = 97.5 %

So, the odds that a carton of eggs will have at least one cracked egg is 97.5 %

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Convert the word problem into an equation as follows:

Let's use the variable 'x' for girls and 'x+7' for boys.

x + x + 7 = 29

Combine like terms

2x + 7 = 29

Subtract 7 from both sides

2x = 22

Divide 2 into 22 to get x

x=11 girls

x+7 = 18 Boys

If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Given,

The average of x and y = 11

We know average = Sum of the terms / Number of terms

Then, the equation will become

[tex]\frac{x+y}{2}=11[/tex]
x+y =11×2

x+y =22

Average of x, y and z = 5

[tex]\frac{x+y+z}{3}=5[/tex]

x+y+z = 5×3

x+y+z =15

Substitute the value of x+y

22+z=15

z =15-22

x = -7

Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

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The phone numbers that are possible in Wilmington are 10000000. The phone numbers possible in Wilmington if the number cannot be used is 4782969. The phone numbers are possible in Wilmington if they must be divisible by 2 or 5 are 6000000. The phone numbers are possible in Wilmington if there are no repeated digits are 5040.

A positional numeral system uses a single symbol, a numerical digit, to represent numbers. The word "digit" refers to the ten decimal (old Latin adjective decem meaning "ten") digits, which are the equivalent of the ten symbols used in the conventional base-10 numeral system. The word "digit" comes from the Latin word "digiti," which means "fingers."

The absolute value of the base determines the required number of different digits for a given numeral system with an integer basis. For instance, the base-10 decimal system requires ten digits (0 through 9), whereas the base-2 binary system just needs two digits (0 and 1).

Explanation:

The number after area code is of 7 digits.

a) [tex]10^{7} =10000000[/tex]

b) [tex]9^{7} =4782969[/tex]

c) X  X  X  X  X  X  X

    I   I    I   I    I    I    I

   10 10 10 10 10 10  0,2,4,6,8,5,i.e,6digits are possible

=[tex]10^{6} x6=6000000[/tex]

d)7!

=5040

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Answer:

Step-by-step explanation:

The best measure to determine the variability is mean which is equal to 69.48

We are given the data:

48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86​

The best measure to determine the variability is mean.

Total number of observations = 26

Sum of observations (S) will be:

S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86​

S = 1809

Mean = Sum / total

Mean = 1809 / 26

Mean = 69.58

Therefore, the best measure to determine the variability is mean which is equal to 69.48

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Answer:

B

Step-by-step explanation:

Answer:

13 - 12s

Step-by-step explanation:

= 8 - 3s + 6 - 5s - 1 - 4s

= 13 - 12s

Answer:

8+3=11

(-s + 2) - 5s - 1 - 4s = -10s + 1

Answer:

8 - positive

9- no correlation

10- negative

11- positive

12- No correlation

13- negative

14- no correlation

15- no correlation

Step-by-step explanation:

8- Positive because the more hours a person has driven, the more number of miles he/she drives increases.

9- the number of siblings a student has should not affect the grade they have in math class

10- negative because as a car gets older, the value decreases

11- positive because the longer a cd is out the more sales they get

12- In a logical sense, it could be positive, because someone who dropped out of highschool will get paid less than someone who went to school for 18 years and graduated with a hs diploma. it can also mean no correlation. therefore I think it is positive.

13- negative because the more songs someone downloads, the more the ipods space decreases

14- no correlation, the amount of computers in your house does not change how much you message your friends

15- no correlation, your house can be 3 years old and have 5 people living in it

1a) The domain is a set of all real numbers not equal to 5

1b) The domain is a set of all real numbers not equal to 4

Domain of a function is the set of all possible input values that make the function defined.

1a) We are given the function;

C(x) = -3²/(x - 5)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 5

1b) The function is; R(x) = 4x/(3x - 12)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 4

2a) Function is;

f(x) = (x + 8)/(2x - 1)

f(2) = (2 + 8)/(2(2) - 1)

f(2) = 10/3

f(0) = (0 + 8)/(2(0) - 1)

f(0) = -8

f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)

f(-1/2) = -15/4

2b) Function is;

r(t) = (t² + 8)/(t³ - 25t)

r(3) = (3² + 8)/(3³ - 25(3)) = -17/48

r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7

r(-1) = ((-1)² + 8)/((-1)³ - 25(-1))  = 9/24 = 3/8

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Answer:

$134.09

Step-by-step explanation:

you take 156.34 and minus 15.50, then you take that and minus it by 6.75

Answer $134.09

why 156.34 - 15.50+6.75=134.09

Answer:

y = 3/4 x - 1

Step-by-step explanation:

We can use the point-slope form of the equation of a line.

y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)

y - (-4) = (5 - (-4))/(8 - (-4))(x - (-4))

y + 4 = (9/12)(x + 4)

y + 4 = (3/4)(x + 4)

y + 4 = (3/4)x + 3

y = (3/4)x - 1

The area of the window is 305.12 square inches.

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

[tex] A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} [/tex]

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

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The fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.

It should be noted that the deductive reasoning is when one arrives at conclusion based on the information that was given earlier.

Based on the information given, it should be noted that one can only work out at the gym if the person has a membership. An individual without a membership will be unable to work out.

In this case, the fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.

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The principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).

Whenever a loan is given to a person it is given for some specific amount of time at a specific rate of interest which is to be paid along with the principal amount. Simple Interest is the method of calculating the interest amount on a loan given for a specific period.

It involves the multiplication of the principal amount, rate of interest, and the time for which the loan is given divided by 100.

Here Simple interest is denoted by i, time in years is denoted by t, the principal is denoted by p, and the rate of interest is denoted by r.

The formula of simple Interest is given by:

Simple interest = (Principal×Rate×Time)/100

i=(p×r×t)/100

Now principal can be denoted as:

p=(i×100)/(r×t)

Thus, the Principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).

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The type of distributions represented by the given graphs in the question are as follows;

(a) Symmetric

(b) Bimodal

(c) Skewed right

(d) Uniform

(e) Skewed right

The definition and descriptions of the given terms are;

Approximately; The term is used to describe the state of things which is close to an actual thing or situation.

Symmetric; A distribution is symmetric when the area of the side on the left and on the right of the mean are equal and balance each other.

Bell shaped; A distribution that has a bell shaped graph, which usually represents a normal distribution, can be described as a bell shaped distribution.

Skewed left; The graph of a distribution is skewed left if it has a tail (smaller values) on the left of the graph

Skewed right; The graph of a distribution is skewed right if the tail is on the right of the graph.

Uniform; A distribution is uniform if the shape of the graph is approximately rectangular.

Bimodal; A distribution that has two peaks is said to be a bimodal distribution.

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Answer:

12

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

BODMAS

start with solving 2^2 which is similar to 2×2 you get 4

2^2=4

4+3 =7

The board measures 212 inches which is equal to 17.7 feet.

Measurement:

Measurement is used to identify the quantity of the object.

Each object has its own measurements, like solid objects are measured using grams and the liquid one are measured using liters, etc.

For example,

We can buy the vegetables in grams because they are solid objects.

Instead, we have buy the milk in liters because they are liquid.

Given,

A board measures 212 inches.

Here we need to convert this into feet.

We know that,

1 inch = 0.0833333 feet.

So, 212 inches is equal to,

=> 212 x 0.0833333

=> 17.6667 feet.

Here we have to round the answer with one decimal place.

So, that is,

=> 17.7 feet.

Therefore, the board measurement in feet is 17.7 feet.

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Answer: 10 times more heavier.

As per the question, without replacement draw 5 cards from a deck of 52 playing cards. The probability to draw 5 cards can be written as:

[tex]P(getting2 spades) = \frac{P(E)}{n(E)} = \frac{13X12}{52X51} =\frac{1}{17}[/tex]

Therefore, the probability of getting at most two spades is [tex]\frac{1}{17}[/tex].

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. To calculate the probability of a playing card which is [tex]52[/tex] in numbers. And it is divided into fours cards and each are in the count of [tex]13[/tex].These fours cards are heart, spades, diamond and club.

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Answer:

40

Step-by-step explanation:

The answer for the given question is 67.

An equation is a mathematical statement made up of two expressions connected by an equal sign. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.

Coefficients, variables, operators, and constants are all components of an equation.

An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Let x be Vidya's height.

The equation will be determined by the given conditions:

x – 19 = 48

move the variable to the equation's left side:

x = 48 + 19

x = 67

Hence, the correct value for the given question is 67

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Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is  ( 9/50 ) sq ft .

Length of the side of cube = s

The given volume of cubical box  = ( 27/1000 ) ft cubed         equation 1

Volume of Cubical box = [tex](length of cube side)^{3}[/tex]

Volume of Cubical box = [tex]s^{3}[/tex]                                          equation 2

On comparing equation 1 and equation 2 , we get

[tex]s^{3}[/tex] = ( 27 / 1000 )

s = ( 3 / 10 ) = 0.3 ft

Sabrina wants to completely cover two of the faces with labels, So we need to calculate the area of two sides of cubical box.

The area of two sides of cubical box = 2 [tex]s^{2}[/tex]

The area of two sides of cubical box = 2 ( 3/10 )² = ( 9 / 50 ) sq ft

Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is  ( 9/50 ) sq ft .

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Answer:

3√2

Step-by-step explanation:

divide both sides by 2

3√2 = n

Answer:

n = 9

Step-by-step explanation:

note that ([tex]\sqrt{a}[/tex] )² = a , then

(3[tex]\sqrt{2}[/tex] )² = 2n

3 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2n

9 × 2 = 2n

18 = 2n ( divide both sides by 2 )

9 = n

If the upstairs switch is in the down position and the downstairs switch is in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Upstairs switch is in the down position and the downstairs switch is in the up position

This is different from the required position to on the light

Hence, the light will be off

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The solution to the inequality is: n < -9.

Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:

4n - 6 (n + 1) > 12

Distribute

4n - 6n - 6 > 12

Combine like terms

-2n - 6 > 12

-2n - 6 + 6 > 12 + 6

-2n > 18

Divide both sides by -2

-2n/-2 < 18/-2

n < -9

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Answer:

a(c-b)=d

we open the bracket i.e expand it

ac-ab=d

make c the subject formula to get your answer

ac=d+ab

c=d+ab/a