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The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

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

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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a. The mean of the sampling distribution is 0.2 and the standard deviation is 0.027. b. The probability that Cindy will get at least 48 orange Stattle is approximately 0.0901.

A method for estimating the probability of a binomial distribution using a normal distribution is known as the normal approximation to the binomial distribution. When the sample size is sizable and the success probability is not too close to 0 or 1, it can be employed. To utilise this approximation, we must first get the binomial distribution's mean and standard deviation, then normalise the distribution using the z-score calculation.

As 20% of the candies are orange, the mean of the sampling distribution of p is equal to the population percentage, which is 0.2.

The standard deviation of the sampling distribution of p can be found using the formula:

σp = sqrt((p * (1 - p)) / n)

Substituting the values:

σp = sqrt((0.2 * 0.8) / 220) = 0.027

So the mean of the sampling distribution is 0.2 and the standard deviation is 0.027.

b. Let X be the number of orange Stattles in the bag.

The z-score is given as:

z = (X - μ) / σ

z = (48 - 44) / 2.974 = 1.34

So the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is approximately 0.0901.

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Answer:

A: Ben has been a member longer because 1 year, 2 weeks, 3 days is longer than 372 days.

B: 10 days longer

Step-by-step explanation:

1 year, 2 weeks, 3 days is 382 days -> 365 + 14 + 3 = 382

Answer and Step-by-step explanation:

To solve for x, we need to look at 2 deciding factors that allows us to be able to find x.

We are given 2 parallel lines, denoted by the arrow pointing right on the end of both of them, and a transversal line that cuts through the two lines. Because the lines are parallel, the angles that are formed by the transversal like will be equal or correspondent to each other in a few ways.

For the angles we are given, the angles are on the same side of the transversal line, and on the top of their respective parallel lines. Because of this, the angles are equal to each other.

To solve, set the two angles equal to each other.

4x + 20 = 2x + 60

Subtract the 2x from both sides of the equation.

2x + 20 = 60

Subtract the 20 from both sides of the equation.

2x = 40

Divide both sides by 2.

x = 20

x is equal to 20.

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I hope this helps!

Given -

two parallel lines with a transversal.

To find -

to find the value for x.

Concept applied -

Here in the figure, these two angles let's say 1 = 4x + 20° and 2 = 2x + 60° are corresponding angles. And we know that corresponding angles are equal. As all these angles that have the same position in leu the parallel lines and the transversal are corresponding pairs. Therefore, 1 = 2

Solution -

➙ 4x + 20° = 2x + 60°

➙ 4x - 2x = 60° - 20°

➙ 2x = 40°

➙ x = 40°/2

➙ x = 20°

Henceforth, the value of x = 20°.

Answer:

Step-by-step explanation:

1)

Three-Fourth

2)

Twelve Million One Hundred Thirty One Thousand Two Hundred Sixty Seven and Twenty Five Hundredths

3)

Seventy Five Percentage

4)

One Thousand Two Hundred and Fifty Six

5)

Twelve is to Twenty Six

Answer:

All this is asking you to do is to create a sketch of the newly cropped pyrmid and asking you to describe the new changements. (Answer Varies)

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

Like fractions possess a shared denominator while not necessarily having identical numerical values. To determine which pair of numbers contains like fractions, we need to analyze each pair of fractions and see if they have the same denominator. Let's examine each pair:

Option (A) 1/2 and 3/2:

These fractions are like fractions because their denominators are the same value.

Option (B) 4/8 and 12/16:

These fractions are not like fractions because their denominators are not the same value.

Option (C) 6/7 and 60/70:

These fractions are not like fractions because their denominators are not the same value.

Option (D) 5/4 and 4/5:

These fractions are not like fractions because their denominators are not the same value.

The pair of numbers that contains like fractions is A. 1/2 and 3/2.

Answer:

y = 12x - 73

Step-by-step explanation:

We are given the line y=4(3x+2).

We want to find the equation of line G, which contains the point (7,11), and is parallel to y=4(3x+2) in the form y=mx+c. m is the slope, and c is the value of y at the y-intercept.

Parallel lines have the same slopes. So, we should start by finding the slope of y=4(3x+2).

We can do the distributive property to distribute the 4 to both terms on the right side.

y=4(3x+2) => y=12x + 8

Notice how this equation is written in the form y=mx+c. As 12 is written in the place where m is, the slope of this line is 12.

It is also the slope of line G.

We can replace m in y=mx+c with 12 for line G. We'll get:

y=12x + c

Now, we need to find c.

We can use the point (7,11) to help us find c.

Substitute 7 for x and 11 for y.

11 = 12(7) + c

Multiply.

11 = 84 + c

Subtract 84 from both sides

-73 = c

Substitute -73 as c.

y = 12x - 73

The degree of a polynomial is the highest power of the polynomial.

The polynomial is \(\mathbf{P(x) = (x + 3)^4}\)

The degree is given as:

\(\mathbf{n = 4}\)

The zero is given as:

\(\mathbf{x = -3}\)

Add 3 to both sides

\(\mathbf{x + 3= 0}\)

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

\(\mathbf{P(x) = (x + 3)^n}\)

Substitute 4 for n

\(\mathbf{P(x) = (x + 3)^4}\)

Hence, the polynomial is \(\mathbf{P(x) = (x + 3)^4}\)

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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Answer:

8L had it done correct on a quiz

Step-by-step explanation:

Step-by-step explanation:

Raja Dilip aashram Mein Gaye

The player made 38 foul shots.

Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:

F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)

2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)

The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:

S = 55 - F

Next, we change S in the second equation to the following expression:

2F + (55 - F) = 89

When we simplify and find F, we obtain:

F = 17

Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:

17 + S = 55

S = 38

The player so scored 38 fouls.

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Out of the following the statement  has a reference angle of 30° and is in quadrant one or two-  is true of the location of the terminal side of an angle 0 whose sine value is 1/2.

Since the reason behind this is that the sine value of 1/2  can be written as sin(30°), this means that the terminal side of the angle is located at 30°, which is either quadrant one or two. Quadrant one is the upper right quadrant of the coordinate plane, and quadrant two is the upper left quadrant.

The reference angle of an angle is the angle between the terminal side of the angle and the positive x-axis. In this case, the reference angle would be  30°. The reference angle of an angle is important because it is used to determine the quadrant in which the terminal side of the angle is used to determine the quadrant in which the terminal side of the angle is located. The reference angle must be less than 90° in order for the terminal side to be located in the first and second quadrants.

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By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion  \("2x + 3 = 9"\) states that the word  \("2x + 3"\) Corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations \("x2 + 2x - 3 = 0\)  ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.

Abby, according to the picture, spent:

She spends 25% of her time in school.

She spends 40% of her time at work and 15% of her time on other hobbies.

Therefore, Furthermore, she spends  \(20\) of her time napping.

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Answer:

50 bats total

Step-by-step explanation:

To solve this problem, all one has to do is, set up a proportion, remember, a proportion is;

\(\frac{part}{whole} = \frac{percent}{100}\)

In this case;

\(\frac{hits}{total.bats} = \frac{percent}{100}\)

It is given that;

percent  - 60%

hits - 30

Now substitute in the values and solve;

\(\frac{30}{total.bats} = \frac{60}{100}\)

Solve, first simplify;

\(\frac{30}{total.bats} = \frac{3}{5}\)

Now use cross products;

150 = 3(total_bats)

Inverse operations;

150 = 3(total_bats)

/3      /3

50 = total_bats

Using conditional probability, it is found that the correct statement is given by:

C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

If two events are independent, we have that:

\(P(A \cap B) = P(A)P(B)\).

Hence:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)

\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)\)

Which means that option C is correct.

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Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer: 15x^2+6xy

Step-by-step explanation: 3x(6y−4y+5x)

(3x)(6y+−4y+5x)

(3x)(6y)+(3x)(−4y)+(3x)(5x)

18xy−12xy+15x^2

15x^2+6xy

Answer:

67.98 is greater than 67.89

Step-by-step explanation:

The statement that most accurately describes patterns of Irish immigration in the mid-19th century is: its peaked in approximately 1851. The Option D is correct.

Irish immigration to the United States in the mid-19th century was characterized by several factors:

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The greatest common factor of the expression 5x²a + 5xa² is 5xa

To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.

In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².

We can check this by dividing both terms with 5xa:

5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)

Thus, the GCF of 5x²a + 5xa² is 5xa.

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Answer:

$101.45

Step-by-step explanation:

change 17% to .17 then multiply it by 86.71=14.74 then add that to 86.71 and you get your answer $101.45

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

The percent of the bags of chips weigh less than 176 grams is b 16%

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

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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Answer:

Please check attachment for graph

Step-by-step explanation:

B. With hawaii airline = -0.300

Without hawaii airline = 0.197

With hawaii airline

EX = 475.3

EY = 157.17

XY = 8042.11

X² = 26883.55

Y² = 3159.375

The correlation coefficient

= 72378.99-74702.9/7737.421

= -2323.91/7737.421

= -0.300

Without hawaii airline

EX = 396.9

EY = 152.11

EXY = 7645.406

X² = 20736.99

Y² = 3133.772

= 790.789/4021.161

= 0.197

The function y = 1 over 4 x 0.5 is not a power function

A function can be described as a rule, equation or expression that tends to explain the relationship between two variables.

These variables are;

The types of functions are;

A power function is a function single that has a term that is product of a real number, a coefficient, and a variable raised to an exponent.

Hence, y  = 1/4 × 0.5 is not a power function.

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