For the distribution X-N(20.4, 1444), determine the percent of data that is within the interval (6 marks) a) X 23.7 b) 8.8 < X<29.5 c) X 179

The equations of E and R are illustrations of cost and revenue functions

The equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p

The cost and the revenue functions are given as:

E = -20,000p + 90,000

R = -2,170p^2 + 87,000p

At the break even point, we have:

E = R

Substitute known values

-20,000p + 90,000 = -2,170p^2 + 87,000p

Hence, the equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p

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The temperature forecast for a city predicts the high for the day to be a normal random variable with the mean = 87.2 and the standard deviation o = 6.4. We have to find the probability that the high will exceed 100.

The probability can be calculated as follows: \(P(X > 100) = P(Z > (100 - 87.2) / 6.4)P(Z > 2).\) The normal random variable is a continuous distribution that is symmetrical about the mean and bell-shaped with the mean in the center. The probability of the normal distribution beyond a specific point is calculated with the help of the standard normal distribution. Since the question asks us to find the probability of high temperature exceeding 100, we need to calculate the area under the standard normal curve to the right of 2.

This is because the standard normal distribution is a continuous probability distribution that has mean = 0 and standard deviation

o = 1 and is symmetric about the mean. Using the standard normal distribution table, the area to the right of 2 is approximately 0.0228. Hence, the probability that the high temperature will exceed 100 is 0.0228.

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Answer:

The answer is (-11.9)

Step-by-step explanation:

I'll place all the snapshots below for this test, If you would want to see the snapshot for this question click on the 4 capture. Hope this helps!

If 7.3 is less than -2 times a number is the same as 16 1/2 . The number will be - 43.9.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that, 7.3 less than -2 times a number is the same as 16 1/2. We have to find the number.

We have to apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Suppose the number will be x,

-2x-7.3= 16 1/2

Rearrange the equation as

-2x=16 1/2 +7.3

Divide both equations by 2 as

-2x=87.8

x=-87.8/2

x= - 43.9

Thus, if 7.3 is less than -2 times a number is the same as 16 1/2. The number will be - 43.9.

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Answer:

Three decimals

Step-by-step explanation:

Two decimals coming from the first number and one coming from the second one: 4.393 is the product

Answer:

3 decimal places (the answer to the equation is 4.393)

Step-by-step explanation:

When multiplying decimals, multiply them as whole numbers, count the amount of decimal places and both, add the number of decimal places up, and that's how many decimal places are in your answer.  So the first one has two decimal places and the second one has one decimal places making your answer have three decimal places.  

The expression 12x - 24 is factorized to give -12(x + 2)

Algebraic expressions are defined as expressions that are composed of terms, factors, constants, variables and coefficients.

They are also seen as expressions with arithmetic operations, such as;

To factor an algebraic expression is to find the greatest common multiples of the terms in the expression

From the information given, we have that;

-12x - 24

Factor the common terms

-12(x + 2)

Hence, the expression is -12(x + 2)

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Answer:

5x+3×2x

8x-1×6x+5x+3×2x

write this and solve this if i tell u all u can't learn urself thank u

Answer:

If we are trying to find the area if the blue rectangle, the answer is 38x²-12x.

Step-by-step explanation:

Area of blue + white: (8x-1) × (6x) = 48x²-6x

Area of white: (5x+3) × (2x) = 10x²+6x

Area of just blue: (48x²-6x) - (10x²+6x) = 38x² - 12x

Explanation

We have an expression given as

To find the equivalent value, we will make use of the fact that when two negative signs divide or multiply each other, the resulting value is always positive

Thus

The simplified answer is

In our case, we will have a positive outcome

Therefore, the correct answers will be options A and B

Answer:

difference = \(x^2-12x\)

Step-by-step explanation:

hope this helps :)

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

$455.4 For The Year

Step-by-step explanation:

Kevin  pays $ 37.95 per month for his cell phone with unlimited minutes

First, We know that there are 12 months in 1 year.

Therefore, 1 year = 12 months

The cost per month = $ 37.95

So, have to find the cost for 12 months

Cost for 12 months = 12 x 37.95

Cost for 12 months = 455.4

So your solution to the problem is $455.4 Cost for the year.

Answer:

see the answer in the picture

Step-by-step explanation:

I don't know which equation you want. but I put both the standard and general form. but the equation should be the stander form. the radius is 13 in this case

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have:

given the equation of the circle is

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

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complete question:

Determine the center and radius of the following circle equation

x^2 + y^2 + 10x + 14y + 73 = 0

Answer:

y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."

Step-by-step explanation:

A parallel line has the same slope as the reference line,

The reference line is 9x-4y = -5x4, as written.  I'm not sure the 4 belongs, but I'll assume it is written correctly.  I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20.  I'll assume -20:

9x-4y = -20

Put the equation into standard slope-intercept form:  Y = mx + b, where m is the slope and b is the y-intercept (the value of y when  x = 0).

-4y = -9x - 20

y = (9/4)x + 5

This line has a slope of (9/4).  The parallel line will have the same slope.

y = (9/4)x + b

We can find a value of b that would shift this line to include (4,7) by using this point in the equation:

y = (9/4)x + b

7 = (9/4)(4) + b

7  = 9 + b

b = 2

The equation of a line parallel to the reference line is y = (9/4)x + 2

Answer:

m.

Step-by-step explanation:

For example if y = 4x + 1 the slope is 4.

Answer:

La opción correcta es;

d) R $ 1.200,00

Step-by-step explanation:

El monto que Joao prestó a José = R $ 1.000,00

La duración del préstamo = 6 meses

El plazo de interés del préstamo = interés simple del 10% por trimestre

La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;

A = P · (1 + r · t)

A = La cantidad que José tiene que pagarle a Joao después de 6 meses

P = La cantidad que Joao prestó a José = R $ 1.000,00

r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)

t = La duración del préstamo = 6 meses

Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;

A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00

El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00

how many people????????????

9514 1404 393

Answer:

 (x -5) meters

Step-by-step explanation:

We assume the area is supposed to be ...

  A = s^2 = x^2 -10x +25

This is a perfect square trinomial, so can be factored as ...

  A = s^2 = (x -5)^2

Then the side length can be represented by the expression ...

  s = (x -5) . . . . meters

Answer:

x-5

Step-by-step explanation:

Khan

Answer:

Possible responses

1. Priya and Han are both correct.

2. a. 12.5 cups of water

b. 4 cups of oats

Step-by-step explanation:

Some students may think that Priya and

Han cannot both be right because they

came up with different numbers. Ask

them to explain what each number

means, so that they have a chance to

notice that the numbers mean different

things. Point out that the positioning of

the number 1 appears in different

columns within the table.

Answer:

Its is already an impoper fraction.

Answer:

Volume of a cube = side * side * side

length of 1 side = cube root of 64 = 4 cm

Therefore, each picture is 4 cm by 4 cm

Step-by-step explanation:

Answer: 4  ≥ x

Step-by-step explanation:

We want to solve the inequality

2*x + 5 ≥ 3*x + 1

We can solve it in the same way as a normal equation, we need to isolate x in one side of the equation.

I will isolate x in the right side.

2*x + 5 ≥ 3*x + 1

First, we subtract 2*x in both sides:

(2*x + 5) - 2*x  ≥ 3*x + 1 - 2*x

5 ≥ x + 1

Now we subtract 1 in both sides:

5 - 1 ≥ x + 1 - 1

4  ≥ x

Answer:

(0,6)

Step-by-step explanation:

0=12-2x

2x=12

x=6

y=12-2×6

y=12-12

y=0

The ordered pairs that represent a solution to the equation y = 12 - 2x are 91, 10), (-1, 14), (2, 8) and (4, 4).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation

We have,

Equation: y= 12 - 2x.

Now, x= 1

y= 12-2 = 10

and, x = 0

y= 12

and, x= -1

then, y= 12- 2(-1) = 12 + 2 = 14

and, x= 2 then

y= 12-2(2)= 8

and, x= -6 then

y= 12-2(-6)= 24

and, x= 4 then

y= 12- 2(4) = 4

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Answer: It will travel for 38.5 to 57.75 miles

Step-by-step explanation:

1) One gallon of gas will travel for at least 20-30 miles

Where 1155 miles will use 38.5 gallons or 58 gallons of gas

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

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The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

The slope-intercept form is written as:

y = mx + b

So, we need to rewrite the given equation in this form:

x - y = 10

x - y - x = 10 - x

-y = 10 - x

(-1) * (-y) = (-1) * (10 - x)

y = -10 + x

y = x - 10

Now, we can graph the equation. In order to do so, we can plot two points that satisfy this equation and join them with a line.

Notice that, for x = 0:

y = 0 - 10 = -10

For x = 10:

y = 10 - 10 = 0

Thus, the points (0, -10) and (10, 0) satisfy the equation:

Answer: 3x23+b

G67282

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, the point is not (1,0)

An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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