Will give brainlist if correct.

Answer:

Adding whole numbers together is fairly straightforward, but how do we add a whole number and a number with a decimal? The trick is to write the whole number as a decimal number by including a decimal point followed by zeros. Use as many zeros as needed to make your whole number have the same number of decimal places as the decimal number. Then, align the decimal points and add the numbers by adding their respective place value digits together.

Hope this helped!

Answer:  X-Intercepts: x= -5  x= 5

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

Learn more about the PROBABILITY here https://brainly.com/question/25870256

#SPJ4

An analysis of variance comparing three treatment conditions produces dftotal = 32. It is possible for the samples to be the same size. The correct answer is b.

To determine the number of individuals in each sample when the total degrees of freedom (dftotal) is 32,

we need to divide the total degrees of freedom equally among the three treatment conditions.

Start with the assumption that each sample has an equal size, denoted as n.

Calculate the degrees of freedom within each sample, denoted as dfwithin.

Since there are three treatment conditions,

each sample has (n-1) degrees of freedom within, resulting in a total of 3(n-1) degrees of freedom within the three samples.

Calculate the degrees of freedom between the samples, denoted as dfbetween.

The dfbetween is equal to the total degrees of freedom (dftotal) minus the degrees of freedom within (dfwithin): dfbetween = dftotal - 3(n-1).

Set up the equation: dftotal = dfwithin + dfbetween.

Substituting the values,

we get: 32 = 3(n-1) + (dftotal - 3(n-1)).

Simplify the equation: 32 = 3(n-1) + (32 - 3(n-1)).

Solve for n: 32 = 3n - 3 + 32 - 3n + 3.

Combine like terms and simplify: 32 = 32.

Since the equation is true regardless of the value of n, it means that the size of each sample can be any positive number, and the samples can be the same size.

Learn more about variance here:

https://brainly.com/question/31432390

#SPJ4

(a) Calculation of A: The matrix X = [3, -1, 2; 2, 1, -1]Transpose of X, X^T = [3, 2; -1, 1; 2, -1]A = X^TX= [17, 4; 4, 3](b) For r(A) = 1, the matrix A has a conditional inverse Aº = A^-1, as given by the theorem.

As Aº is unique, we can verify this by showing that r(Aº) = r(AºA) = 1.We have that AºA = A Aº = I2, the 2 × 2 identity matrix. Thus r(AºA) = r(I2) = 1, so r(Aº) = 1, which proves the statement.(c) We have already shown in part (b) that A has a conditional inverse Aº = A^-1. Now A has rank 2, hence its nullity is 1. Let z be a non-zero solution of Ax = 0. Then A^-1z = 0, since z is a null vector of A.

Thus A^-1 is not invertible, and hence Aº = A^-1 cannot be the conditional inverse for r(A) = 2. Therefore, no such conditional inverse exists.(d) We can check directly that the matrix A is invertible, since det(A) = 47. Thus A has an inverse A^-1, which is the required conditional inverse for r(A) = 3.

To know more about matrix click here:

https://brainly.com/question/29132693

#SPJ11

Answer:

6%

Step-by-step explanation:

for this is divided the fee by the price of the item.

The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.

In this case, the favorable outcome is that the customer had a high level of satisfaction and used the company more than five times per month. The total number of possible outcomes is the total number of customers in the study, which is 700.

Therefore, the desired probability can be calculated as:

P(High satisfaction and more than 5 times per month) = 70 / 700

And the answer is P(High satisfaction and more than 5 times per month) = 70 / 700 = 1/10.

To know more about probability

brainly.com/question/11234923

#SPJ4

Start by adding the whole part of the numbers

then add the fractions

since the fraction also gave a mixed number it can be added to the whole part we already had

The correct answer option is the fourth one.

None of the given expressions (A, B, C, D, E) are equal to 45 x 67.

To find which expressions are equal to 45 x 67, we simply need to simplify each of the expressions given.

Therefore, none of the expressions are equal to 45 x 67.

Learn more about expressions

brainly.com/question/14083225

#SPJ11

Jen needs \( \frac{3}{4} \) a pound of sunflower seeds to plant in her garden. Since there are 16 ounces in a pound, we can convert \( \frac{3}{4} \) of a pound into ounces by multiplying it by 16.

\( \frac{3}{4} \cdot 16 = 12 \)

Therefore, Jen will need to buy 12 ounces of sunflower seeds to plant her garden.

In summary, to find the number of ounces Jen needs to buy, we first converted \( \frac{3}{4} \) of a pound into ounces by multiplying it by 16. The result is 12 ounces, which is the amount of sunflower seeds she needs to purchase

To know more about Sunflower Seeds visit:

https://brainly.com/question/169553

#SPJ11

Answer:

a=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

a−6=22

Step 2: Add 6 to both sides.

a−6+6=22+6

a=28

Answer:

14

Step-by-step explanation:

In order to find the answer, you must replace all of the X's with 3, and all of the Y's with 2.

When two numbers are right next to each other, that means that they're being multiplied.

So here is the equation rewritten:

(*=times)

5*2-3+2*2-2+5.

This could also be written as:

5 x 2 - 3 + 2 x 2 - 2 + 5.

Time to solve.

Using PEMDAS.

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

The answer will be 14.

:D

Answer:

The factorization of -2bk^2 + 6bk - 2b is -2b(k^2 + 3k + 1).

Step-by-step explanation:

The factorization of -2bk^2 + 6bk - 2b is -2b(k^2 + 3k + 1).

Answer:

40 socks

Step-by-step explanation:

There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:

\(n=(12*4) - 8\\n=40\ socks\)

She must take at least 40 socks.

Answer: Once the Acadians refused to sign an oath of allegiance to Britain, which would make them loyal to the crown, the British Lieutenant Governor, Charles Lawrence, as well as the Nova Scotia Council on July 28, 1755 made the decision to deport the Acadians. The Expulsion (1755–1764) occurred during the French and Indian War (the North American theatre of the Seven Years' War) and was part of the British military campaign against New France. The British first deported Acadians to the Thirteen Colonies, and after 1758 transported additional Acadians to France. When the French and Indian War began in 1754, the British government, doubting the neutrality of the Acadians, demanded that they take an oath of allegiance to the Crown. ... British Governor Charles Lawrence decided to deport the Acadians from Nova Scotia without giving his colleagues any notice. They migrated to Louisiana because they had better fishing grounds, its territory controlled the gulf of St. Lawrence, and shipping routes and British colonies along the Atlantic coast.

Step-by-step explanation:

The expression is simplified to n - 16/ 4

Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

− 3/2(1/2 n+2n−3)+4n

Solve the variables in the bracket, we have;

- 3/ 2 {   n + 4n - 6 / 2} + 4n

-3/2 { 5n - 6/ 2 } + 4n

expand the bracket

- 15n - 18/ 4 + 4n

Fin the LCM

-15n - 16 + 16n  /4

n - 16/ 4

Thus, the expression is simplified to n - 16/ 4

Learn more about algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

Answer:

$46325 in total for the car

Step-by-step explanation:

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

As per unitary method, the height of the light pole is 3 feet.

The unitary method involves finding the value of one unit and then using it to find the value of another unit. In this problem, we can use the height of Jenny as one unit and her shadow length as another unit. Let's assume that Jenny's height is 1 unit and her shadow length is x units.

Now, we need to find the value of one unit in terms of the height of the light pole. To do this, we can use the fact that the lengths of the two shadows are proportional to the heights of the objects casting the shadows. That is, if the height of the light pole is h units, then we have:

Jenny's height / Jenny's shadow length = Light pole's height / Light pole's shadow length

Substituting the values, we get:

1 / x = h / y

where y is the length of the shadow of the light pole.

We can rearrange this equation to find the value of h in terms of x and y:

h = (x * y) / 1

Now, we can substitute the given values of x and y to find the height of the light pole. If Jenny's shadow is 10 feet long and the shadow of the light pole is 30 feet long, then we have:

h = (1 * 30) / 10 = 3 feet

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4

Answer:

75 less student tickets than adult tickets. The total is 625 tickets. So the student and adult tickets have to equal 625 when added.

Step-by-step explanation:

Student tickets: 275

Adult tickets: 350

Answer:

No

Step-by-step explanation:

Answer:

it will be 96 try 96 please

Answer:

B=44°

Step-by-step explanation:

x+10+3x+x=180

5x= 180-10

x=34

B= 34+10

B=44°

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

Learn more about Annual:

brainly.com/question/22408877

#SPJ11

The rate of change of the volume of the sphere is 100,530.96 mm^3/s

How to calculate rate of change of the volume of the sphere?

Given,

radius = r = 80 / 2 = 40 mm

rate of change radius = \(\frac{dr}{dt}\) = 5 mm/s

Formula to calculate volume of the sphere is

\(V = \frac{4}{3}\pi r^{3}\)

Differentiating the volume formula and we get new formula to calculate rate of change of the volume.

\(\frac{dV}{dt} = \frac{4}{3}\pi 3r^{2}\frac{dr}{dt}\)

Simplify to

\(\frac{dV}{dt} = 4\pi r^{2}\frac{dr}{dt}\)

Now, we put the given value to formula and calculate it

\(\frac{dV}{dt} = 4\pi (40)^{2}(5)\)

\(\frac{dV}{dt} = 100,530.96\) mm^3/s

Thus, the rate of change of the volume of the sphere is 100,530.96 mm^3/s

Learn more about the volume of the sphere here:

brainly.com/question/9086505

#SPJ4

Answer:

Step-by-step explanation:

point-slope form: y-y₁=m(x-x₁)

x₁= -5

y₁= 3

m= 5

y-3=5(x+5)

Answer:

y = \(\frac{2}{3}\) x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (3, 4 )

m = \(\frac{4-2}{3-0}\) = \(\frac{2}{3}\)

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = \(\frac{2}{3}\) x + 2 ← equation of line

The situations does one quantity change at a constant rate per unit interval relative to another quantity are option A and option E

Here we have to find the situation that one quantity change at a constant rate per unit interval relative to another quantity

Part A

An employee earns $14 per hour.

The equation will be

y = 15x

Where y is the earning and x is the number of hours

It has constant rate per unit interval

Part B

An employee earns a 3% raise each year.

y = x + 0.03x

Where y is the earning and x is the number of years

It is not constant rate per unit interval

Part C

A gym charges a $50 down payment plus $30 per month.

y = 50 + 30x

Where y is the charges and x is the number of months

Its is not constant rate per unit interval

Part D

A piece of gym equipment decreases 8% in value every 6 months.

y = x - 0.08x

Where y is the total value and x is the number of 6 months

It is not constant rate per unit interval

Part E

A trainer charges $20 for every 30 minutes of training plus a $5 tip

y = 20x + 5

Where y is the charges and x is the number of 30 minutes times periods

It is constant rate per units

Therefore, option A and E are correct statement

I have answered the question in general, as the given question is incomplete

The complete question is:

For which situation does one quantity change at a constant rate per unit interval relative to another quantity?.

A. An employee earns $14 per hour.

B. An employee earns a 3% raise each year.

C. A gym charges a $50 down payment plus $30 per month.

D. A piece of gym equipment decreases 8% in value every 6 months.

E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.

Learn more about constant rate per unit here

brainly.com/question/7779047

#SPJ4

The horizontal distance along the grid line from the highest grid elevation point to the 97 contour is 52.38 feet.

To solve this problem, we first need to determine the location of the highest grid elevation point on the grid line labeled 96.33 and 97.48.

Let's assume that the highest grid elevation point is located at a distance of x feet from the grid line labeled 96.33. Therefore, the distance from the same point to the grid line labeled 97.48 would be 50 - x feet (as the total length of the grid line is 50 feet).

Now, we need to determine the location of the 97 contour on the same grid line. Let's assume that the 97 contour intersects the grid line at a distance of y feet from the grid line labeled 96.33.

Since the highest grid elevation point is on the same grid line, it must also be on the 97 contour. Therefore, we can set the elevation at the highest point equal to 97 and use this information to solve for x and y.

We can set up two equations based on the information we have:

x² + y² = d² (Equation 1)

x + (50 - x) = y (Equation 2)

where d is the horizontal distance we are trying to find.

We can simplify Equation 2 to:

50 = y

Substituting this into Equation 1, we get:

x² + 50² = d²

Rearranging this equation, we get:

d² = x² + 2500

Now we can substitute 97 for the elevation at the highest point, and solve for x:

(97 - 96.33)/0.01 = x/50

x = 33.5 feet

Substituting this value of x into the equation for d², we get:

d² = (33.5)² + 2500 = 2742.25

Taking the square root of both sides, we get:

d = 52.38 feet (approx.)

Therefore, the horizontal distance along the grid line from the highest grid elevation point to the 97 contour is approximately 52.38 feet.

Learn more about grid line at https://brainly.com/question/28272514

#SPJ11