The relationship between a company’s profit, y, and the number of units sold, x, is represented by the equation 6x − 9y = 12. rewrite the equation to give the profit in terms of the number of units sold.

The value of x on the boundary line and the x axis is found as 4.

For the given question,

The graph of inequality  x-2y ≤ 4 is drawn.

Consider the graph,

The straight lien formed by the graph touches the x coordinate axis at (4,0).

Thus, the value of x on the boundary line and the x axis is found as 4.

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Answer:

170 Degrees.

Step-by-step explanation:

If an interior angle is 170 degrees, that's your best bet.

98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

What does a statistical random sampling entail?

P = x/n

= 89/168

= 0.53

α= 0.02

∴Zc = Zi - α/2

= 2.326

Now, C.I = P ± Zc * √[P(1-P)/n]

= 0.5 ± 2.326 * √[(0.53(1-0.53)) / 168

= (0.440, 0.619)

∴98% C.I. = 0.440 < P < 0.619

Hence, 98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

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Answer:

it'll look like the last one -7x + 2 = 16

Graph D is a function because it passes the vertical line test

A vertical line test helps to find if the graph is a function or not. The vertical line in a coordinate system represents a set of infinite points having the same x coordinate values and different y coordinate values for each of its points. The vertical line is drawn parallel to the y-axis, if it cuts the curve at one distinct point then it has one y-value for the given x value and it follows the basic definition of a function.

Applying the vertical line test in the graphs given, only graph D is a function.

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Answer:

c. -24

Step-by-step explanation:

f(3) means the y value where x = 3, therefore f(3) = -24

The statement best describing is only statistics for the ten states are reported

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. Statistics can be used to make future predictions calculate the likelihood that a given event will occur, or provide information about a survey. It primarily serves to convey knowledge, compute probabilities, and store records. In essence, it improves our understanding of the world by using numbers and other quantitative data.

In the given case, a total of ten states were selected by Judy and then the statical analysis was made. As per the given options, the correct option is that only statistics for the ten states are reported. This is because the number of terms, which are the states is ten.

Complete Question

Judy selected ten states and then calculated statistics on them. Which statement best describes the resulting statistics?

Only statistics for the ten states are reported.

No statistics are reported.

Statistics for all fifty U.S. states are reported.

The number of states included in the report depends on whether an attribute, interactive or spatial query was used to make the selection.

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Using system of linear inequality, the number of tacos and burrito he sold was 56 and 54 respectively

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

To solve this problem, we have to write two system of inequality and then graph the inequalities to show the solution.

Let;

x + y = 110 ...eq(i)

7x + 3.25y ≥ 560 ..eq(ii)

From eq(i)

x + y  110

x = 110 - y ..eq(iii)

Put eq(iii) into eq(ii)

7(110 - y) + 3.25y ≥ 560

770 - 7y + 3.25y ≥ 560

770 - 3.75y ≥ 560

-3.75y ≥ 560 - 770

-3.75y ≥ -210

y ≤ 56

Assuming y is less than or equal to 56, x will be

x + 56 = 110

x = 54

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The best prediction the price will do next is keep increasing.

What is stock price?

The price at which one share of a company would be purchased is known as the share price or stock price. A share's price is not constant; rather, it changes over time in response to market factors. It is likely to rise if the business is thought to be doing well or fall if it isn't living up to expectations.

A company's price rising more quickly indicates that investors are supporting the rally and that the stock will rise further.

On the other hand, a declining price trend with high volume suggests a possible downward trajectory. A high trade volume could also indicate a change in trend.

Hence, the best prediction the price will do next is keep increasing.

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The best way of writing a prolog rule that gives you all the possible coin combinations adding to a dollar is using membership rules and arithmetic condition.

The Prolog interpreter warns that it can only find one occurrence of one or more variables, which is strange, since typically variables are used to perform unification, pass values from one predicate to another, etc.

Arithmetic in Prolog

In arithmetic expression, + - * / symbols are special type of infix operator, and these operators are also known as arithmetic operators. In Prolog, operators are used as predicates but here operators are functions and these operators return a numerical value.

Arithmetic expressions can include variables, numbers, operators, and arithmetic functions. These will be written in parentheses with their arguments. These will return numerical values just like the arithmetic operators.

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Answer:

84

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let, the dimension of cuboid are l=5x,b=4x and h=2x

Now, the surface area of cuboid =2(5x×4x+4x×2x+2x×5x)=76x2

Now,

76x2=1216

x2=16

x=4

Dimensions of cuboid are,

l=5x=5×4=20cm,b=4x=4×4=16cm

h=2x=2×4=8cm

Volume of cuboid=l×b×h=20×16×8=2560cm3

Hence, this is the answer.

Answer:

Step-by-step explanation:

Correct option is A)

Answer:

Step-by-step explanation:

1. x=5

2. xy7

Answer:

To be more certain that it captures the true value of the population proportion, a 95 % confidence interval must be larger than an 80 % confidence interval.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% chance of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval.

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A normal distribution can appear utterly erratic due to a lack of data. Results from tests taken in class, for instance, are often regularly distributed.

Given information;

Scores from the sit and reach test weren't normally distributed.

To find what is the likely cause for this lack of normal distribution,

⇒ A normal distribution can appear utterly dispersed due to Insufficient Data. For instance, test scores in the classroom are often regularly distributed.

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Answer: 16 students

Step-by-step explanation:

2x + (2•4) = 4x

2x + 8 = 4x

-2x -2x

8 = 2x
(Divide by 2 on both sides)

vvv

2x/2= x

8/2 = 4

x = 4

(substitute 4 in for x)

2(4) + 8 = 4(4)

8+8 = 16

16 = 16

There are 4 lattice points on the line segment whose endpoints (3,17) &(48,281)

What is a Lattice point?

In a Cartesian coordinate system, a lattice point is a point whose x-coordinates and y-coordinates are both integers. A point in a regularly spaced array of points, known as a point lattice, that is at the intersection of two or more grid lines is referred to as a lattice point. Point lattices with unit cells that are square, rectangular, hexagonal, and other forms can be built in a plane. An unspecified point in a square array constitutes a point in a point lattice.

The difference in the y-coordinates is 281 - 17 = 264

the difference in the x-coordinates is 48 - 3 = 45.

The gcd of 264 and 45 is 3,

so the line segment joining (3,17) and (48,281) has a slope [tex]\[\frac{88}{15}\][/tex]

The points on the line have coordinates[tex]\[\left(3+t,17+\frac{88}{15}t\right).\][/tex]

If t is an integer, the y-coordinate of this point is an integer if and only if t is a multiple of 15.

The points where t is a multiple of 15 on the segment [tex]3\leq x\leq 48[/tex] are 3, 3+15, 3+30, and 3+45.

There are 4 lattice points on this line. Hence the answer is B

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The average birthweight of a nonsmoker was between 1,000 and 5,000 grams. Babies born to smokers frequently weighed between 500 and 4500 grams.

Given,

What is the newborn's weight?

A newborn's body weight is referred to as birth weight. At birth, babies of European descent typically weigh between 2.5 and 4.5 kilograms, or about 3.5 kilograms on average. South Asian and Chinese babies typically weigh 3.26 kg.

Here,

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grams. Babies of smokers typically ranged in weight from 500 to 4500 grams.

However, there are some obvious disparities between the two groups' typical ranges of birth weights. Since there are fewer newborns in the lower weight groups, over half of neonates among nonsmokers (56 out of 115, 48.7%) had birth weights between 3,000 and 4,000 grams. Less infants are born in the heavier weight categories; 40 of the 74 newborns delivered to smokers, or 54% of them, had birth weights between 2,000 and 3,000 grams.

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Answer: a

Step-by-step explanation:

By using the volume of sphere, it can be calculated that

Volume of the sphere after the hole is drilled = [tex]352\sqrt{33} \pi[/tex]

What is volume of sphere?

Volume of sphere is the total space taken by the sphere.

If r is the radius of the sphere, then volume of the sphere is

[tex]v = \frac{4}{3} \pi r^3[/tex]

Radius of the ball = 14

Radius of the ball after the hole is drilled = 8

By Pythagoras Theorem,

Height of the ball after the hole is drilled =[tex]\sqrt{14^2 - 8^2}[/tex] = [tex]\sqrt{132}[/tex]

Volume of the ball after the hole is drilled = [tex]\frac{4}{3} \pi (\sqrt{132})^3[/tex]

                                                                           = [tex]\frac{4\pi \times 132 \times 2\sqrt{33}}{3}\\352\sqrt{33} \pi[/tex]

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Marko needs the amount of money which would be $20 to go to a concert.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Marko has $22. He needs at least $42 to go to a concert.

We have to determine the required amount of money Marko

the required amount of money = cost of the concert - he has the amount

the required amount of money = $42 - $22

Apply the subtraction operation, and we get

the required amount of money = $20

Therefore, Marko needs the amount of money that would be $20.

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If geometric sequence has a1= 5 and r = 3 then the A(n) will be; 5 × 3^(n-1)

There are three parameters which 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 previous term to get the next term.

The General form of a geometric sequence:

[tex]A(n) = A_1 \times r^{(n-1)}[/tex]

If a1= 5 and r = 3 then

A(n) = 5 × 3^(n-1)

Therefore, If geometric sequence has a1= 5 and r = 3 then the A(n) will be; 5 × 3^(n-1)

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Using combinations, we know that 4 different types of items will be selected.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We can choose the components of combos in any order.

Permutations and combinations can be mixed up.

Combination formula: [tex]n C r=\frac{n !}{(n-r) ! r !}[/tex]

So, this formula, commonly known as the NCR formula, determines the number of combinations that may be made with r items out of the n available options.

We, therefore, have 4 objects, and a person chooses 3 at random.

[tex]\begin{aligned}& n C r=(n, r)=(4,3) \\& =\frac{4 !}{3 !(4-3) !} \\& =4 ! / 3 ! \\& =4\end{aligned}[/tex]

Therefore, using combinations, we know that 4 different types of items will be selected.

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The Central Limit Theorem establishes that the sampling distribution of the sample means with size n can be roughly equivalent to a normal distribution with mean and standard deviation for a normally distributed random variable X, with mean and standard deviation.

The Central Limit Theorem can also be used with skewed variables if n is at least 30.The mean of the sampling distribution of sample means is p for a proportion p in a sapling of size n, and the standard deviation is s=root of p(1-p)/n.This issue involves that:(A) Determine the sample proportion's sampling distribution's mean.The Central Limit Theorem states that 0.85

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The slope value of the linear relationship tells us how much Austin pays to his friend weekly, which is: $8.

A linear relationship between two variables, x and y, can be defined by the equation, y = mx + b, where the value of m is the slope and b is the y-intercept or starting value.

If we have a table that represents a linear relationship between two variables, x and y, what we need to do is to use two pairs of values from the table to find the change in y / change in x.

In this context, L = amount Austin owes his friend for t weeks, so the slope will be the amount Austin pays to his friend every week = change in L / change in t.

Using two pair of values from the table, (1, 32) and (4, 8):

Slope (m) = change in L / change in t = (32 - 8) / (1 - 4)

Slope (m) = 24/-3

m = -8

Therefore, the amount Austin will be paying to his friend weekly would be $8.

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Answer:

Step-by-step explanation:

2+2+4

The measure of the long -run average value of a random variable used to represent the central location of a probability distribution is called an expected value E(x).

As given in the question,

Reason with explanation :

Therefore, the measure of the long run average value of a random variable representing central location of the probability distribution is called the expected value.

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The average speed in miles per hour during her drive that morning is 43.5 miles per hour   .

In the question ,

it is given that ,

the distance between home to freeway entrance is = 0.6 miles

the distance between freeway entrance to freeway exit is = 15.4 miles

the distance between freeway exit to workplace is = 1.4 miles

So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles

we know that 24 minutes = 24/60 = 0.4 hours ,

the average speed = total  distance / total time

= 17.4/0.4

= 43.5 miles per hour

Therefore , the average speed is 43.5 miles per hour .

The given question is incomplete , the complete question is

One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?

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The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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