3. What is the coefficient in the expression: 94a+2?

Answer:

It should be 45....

Step-by-step explanation:

The Length of the rectangle is: B. 6 2/3.

The area of a rectangle is calculated as: Area = (length)(width). Therefore, if we known the area of a rectangle and its width, we can find the length of the rectangle using:

Length of rectangle = area of rectangle / width of rectangle.

Given the following:

Area of a rectangle = 21 and 2 over 3 square inches

Width = 3 and 1 over 4 inches

Length of the rectangle = 21 2/3 ÷ 3 1/4

Length of the rectangle = 65/3 ÷ 13/4

Length of the rectangle = 65/3 × 4/13

Length of the rectangle = 260/39 = 6 2/3.

Learn more about rectangles on:

https://brainly.com/question/1549055

#SPJ1

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

Learn more about probability, here:

https://brainly.com/question/30034780

#SPJ1

Answer:   (-13xy) + (-5xy) = -18xy

Step-by-step explanation:

well they are both negatives t=so they cant be subtracted from each other instead they are being added

13 + 5= 18

but remeber to add back the negative sign adn the variables

so its -18xy

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

For more question on perpendicular visit:

https://brainly.com/question/1202004

#SPJ8

Answer:

A. You can write the number as a Ratio of two entegers

D. You know what the next number is

Answer:

The system of equations is:

x+y = 42

y = 2x

Step-by-step explanation:

Let x represent the number of ounces of lemon juice.

Let y represent the number of ounces of linseed oil.

A total of 42 ounces of floor wax is to be made, so:

x+y = 42

The amount of oil should be twice the amount of lemon juice. So:

y = 2x

so the system of equations is obtained.

Using a TI-83, TI-83 Plus, or TI-84 Population standard deviation is 56.4 and Population variance is 3178.5 .

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the following steps:

Enter the data into a list on the calculator. To do this, press the STAT key, then select Edit. Enter the data into L1.

Calculate the sample mean by pressing STAT, then CALC, then 1-Var Stats. Make sure L1 is selected as the list, then press ENTER.

Find the population variance by pressing STAT, then CALC, then 2-Var Stats. Make sure L1 is selected as the list, then press ENTER. The variance will be displayed as sX².

Take the square root of the population variance to find the population standard deviation. To do this, press the MATH key, then select PRB, then select 5:√(. Enter the population variance, then press ENTER.

Using this method, we find that the population standard deviation is approximately 56.4 and the population variance is approximately 3178.5.

To learn more about statistics click on,

https://brainly.com/question/30646188

#SPJ4

Complete question is:

A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place .

Texts sent yesterday: 29 211 130 21 5 21 19 67 60 95

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1

If a manufacturer knows that their items have a normally distributed length, with a mean of 5.3 inches. the probability that the mean length of a sample of 20 items is less than 5.1 inches is 0.1314.

The standard deviation of the sampling distribution of the sample means (also called the standard error of the mean) can be calculated using the formula:

standard error of the mean = standard deviation / square root of sample size

So, in this case:

standard error of the mean = 0.8 / sqrt(20) = 0.178

To find the probability that the mean length of a sample of 20 items is less than 5.1 inches, we can standardize the sample mean using the formula:

z = (x - mu) / standard error of the mean

where x is the sample mean, mu is the population mean, and the standard error of the mean is 0.178.

So, we have:

z = (5.1 - 5.3) / 0.178 = -1.12

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than -1.12 is approximately 0.1314.

Therefore, the probability that the mean length of a sample of 20 items is less than 5.1 inches is  0.1314.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

Answer:

the answer is c,Yes, because the ratios for each input and output are equivalent.

Step-by-step explanation:

The coordinate which satisfies the inverse of function f(x) is that f⁻(x) are (–3, 2),(6, –1), and (1, 0) so options (A),(B), and (E) will be correct.

The inverse of a function is basically a reverse function or undo of the function.

For example y = f(x) then inverse will be x = f(y).

It means in the inverse function we need to interchange x and y.

Given points have been labeled in 2 a 2-column table with 6 rows.

The coordinate of any function is given as (x,y) or ( x,f(x) ).

First coordinate of functin f(x) is (0,1) second(2,-3) and so on.

If we do the inverse of the function f(x) is that f⁻(x) then coordinate will interchange is that x will interchange with f(x) then first coordinate (1,0) second (-3,2) and so on.

So if we look at all coordinates which is available among the options are  (–3, 2),(6, –1), and (1, 0).

Hence "The coordinate which satisfies the inverse of function f(x) is that f⁻(x) are (–3, 2),(6, –1), and (1, 0)".

For more information about the inverse of a function,

brainly.com/question/2541698

#SPJ2

The coordinates of F' when reflected in the line y=x is F'(1,-7)

Given:

When point F is reflected in the line y = x, the image is located at F"(-7, 1).

The x-coordinate and y-coordinate are reversed when a point is reflected over the line y = x. The x-coordinate and the y-coordinate switch places and become negated if you reflect over the line y = -x (the signs are changed). The point is on the line y = x. (y, x).

so the point  F"(-7, 1) after reflection changes to:

F'(1,-7)

Hence we get the value of F' as (1,-7).

Learn more about Function graphs here:

brainly.com/question/4025726

#SPJ9

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

What graphs are you referring to? I understand the problem you're going through, but perhaps you could ask the question again and attach an image.

Answer:

If the equation is x^2=8y then the graph should look like a wide U. The point should be at (0,0).

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

Answer:36.4

Step-by-step explanation:

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

To know more about probability follow

https://brainly.com/question/27077702

#SPJ1

Answer:

27 gallons

Step-by-step explanation:

A rectangular room is a rectangular prism. The floor and ceiling are the bases. The walls are the lateral faces. The lateral are of a rectangular prism is the product of the perimeter of the base and the height of the prism.

lateral area = Ph

lateral area = 2(10 ft + 18 ft) × 8 ft

lateral area = 448 ft²

area of walls = 448 ft²

area of three coats = 3 × 448 ft² = 1,344 ft²

area covered by 1 gallon of paint = 50 ft²

number of gallons of paint needed = 1344 ft² / 50 ft² = 26.88

Answer: 27 gallons

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

For more questions on graph

https://brainly.com/question/30665392

#SPJ8

Answer:

A=0.9

B=0.855

C=198

Step-by-step explanation:

Let X be the binomial random variation with parameters given bellow as

n=200

p=1-0.9=0.1

Note that the value of Z is approximate standard random normal variable with the values of Ф gotten from table

Kindly find attached a detailed solution of the problem with the right annotation and symbols

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

To know more about standard deviation here

https://brainly.com/question/12402189

#SPJ1

The question is incomplete. The complete question will be -

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

Answer:

Tina's height is x inches. She is shorter than her brother, whos height 56 inches.

Step-by-step explanation:

Let the height of Tina = x inches

and the height of her brother = 56 inches

if Tina is shorter than her brother then,

x < 56 inches

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

To learn more about concentration visit the link:

https://brainly.com/question/17206790

#SPJ1

Answer:

18 years

Step-by-step explanation:

20,010 = 8700*(1.05)^x

x = log_21/20 (23/10)

x = 17.07125

Answer:

x = 99

Step-by-step explanation:

3x + 99x = 12x

12x = 1188 divide 1188 ÷ 12

x = 99

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

4 cm, 8 cm, 10 cm

Step-by-step explanation:

For a triangle to exist, two sides added up must be greater than the third side. The only quantities that satisfy this relationship is the second option.