D.) what is the probability of selling 25 cheesecakes ?E.) what is the probability of selling at most 10 cheesecakes ?F.) give the expected number of cheesecakes sold on any given day using the discrete probability distribution

Calculate the following sum of mixed fractions:

Before adding the fractions, we should express them as improper fractions:

We can add the integers 517+312=829

And now the fractions:

Expand the first fraction to have a denominator 100:

Now we simply join the integer part with the proper fraction:

It's the final answer

Let's elaborate on the sum:

We need to make both denominators equal and then add the numerators easily

For example:

Note the fraction 37/50 does not have the same denominator as 3/100

How can we make them equal?

Multiply by 2

both the 37 and 50

To express the result as decimal, we divide the fraction and add it to the integer:

The algebriac expression is a polynomial, if all the exponents of expression is non negative.

Al final del primer mes tenemos:

5000 + 5000*0.05 = 5250

Al final del segundo mes:

5250 + 5250*0.05 = 5512.5

Y al final del tercer mes nos queda:

5512.5 + 5512.5*0.05 = 5788.125

El dinero que habra en la cuent despues de un trimestre es $5788.125

Para calcular en que porcentaje ha subido la cantidad inicial, dividimos la cantidad extra obtenida despues de un trimestre entre la cantidad inicial:

Ha subido en un 15.7625%

The subject of the formula is [tex]\pi r = {r(R^{2}- r^{2})}[/tex]

Given, 

V = πr (R²-r²)

then to find r in terms of the other values divide both the sides by the multiplier of r.

r is multiplied by πr²

Now divide both sides by V

[tex]\frac{V}{\pi r } = \frac{\pi r(R^{2}- r^{2})}{\pi r}[/tex]

[tex]\frac{V}{\pi r } = {(R^{2}- r^{2})}[/tex]

[tex]{\pi r } = \frac{{(R^{2}- r^{2})}}{V} \\\\\pi r^{2} = {r(R^{2}- r^{2})}[/tex]

Hence the answer is the subject of the formula is [tex]\pi r = {r(R^{2}- r^{2})}[/tex]

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​

62 u² (square units)

1) A rectangular prism is made up of 6 rectangles. So we can write them out:

2 rectangles (3 x 2)

2 rectangles ( 5 x 2)

2 rectangles ( 5 x 3)

2) Therefore the Total Surface Area of that prism can be found by applying the formula for the area of each rectangle times 2. Like this:

3) Hence the answer is 62 u² (square units)

A function is a relation in which each element of the input is associated with exactly one element of the output. For example:

In this case, we have:

As we can see, the table does not represent a function because there is a value in the input set that is associated with two values in the output set.

Given:

To graph each pair of inequalities and indicate the solution set with cross hatching or shading

Solution

Determine the x and y intrcept of each of the given ineqiualities

Plot the graph as shown below

It can be observed that the solution set is unbounded, as shown by the cross hatching

We are given the diameter of the circle = 18 cm

Radius = Diameter /2 = 18 /2 = 9 cm

Answer:

it would be linear i gotcha bro

The true statement regarding the expression is that D. The kennel charges $25 for the first day and $15 per day after the first day.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Cameron put his dog Buddy in a kennel while he went on a long business trip and the equation y = 15x + 25 shows the total charge y that Cameron will pay to put Buddy in a kennel for x days.

Therefore, option D illustrate this.

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The value of 10P4 is 5040

Permutations and combinations are defined as the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Given 10P4

we have to evaluate the value of 10P4

10P4 is in the form of npr

Formula for npr = n!/(n-r)!

Here n =10 and r=4

Now substitute the values in the formula

(10! )/(10-4)!

= (10! )/6!

=(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(6 x 5 x 4 x 3 x 2 x1)

= 10 x 9 x 8 x 7

= 5040

Therefore the value of 10P4 is 5040

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Answer:

The value of 10P4 is 5040

Permutations and combinations are defined as the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Given 10P4

we have to evaluate the value of 10P4

10P4 is in the form of npr

Formula for npr = n!/(n-r)!

Here n =10 and r=4

Now substitute the values in the formula

(10! )/(10-4)!

= (10! )/6!

=(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(6 x 5 x 4 x 3 x 2 x1)

= 10 x 9 x 8 x 7= 5040

Step-by-step explanation:

Answer:

csc(9x)

Step-by-step explanation:

From the exercise we can indentify the following

• x, = number of points that the varsity team scored

• y ,= number of points that the faculty team scored

Let's clear y in (1) to be able to replace in (2)

Answer:

Step-by-step explanation:

The distance between the points is found using the given coordinates and the distance formula.

The distance formula is based on right triangle and Pythagorean theorem and is the calculation of the hypotenuse provided the legs are known.

So the right order of operations is attached for you below.

You have found most of it, just small correction is needed.

Answer:

1., 2., 4., 5., 6., 3., 7.

Step-by-step explanation:

1. Draw a right triangle by dropping a vertical side and a horizontal side. (See attachment).

2. Determine the vertical side (2 units) and horizontal side (6 units) lengths by counting on the grid (be careful of the scale), or using the vertical coordinated (3 to 1) and horizontal coordinate (-2 to 4).

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Therefore:

4. Use the Pythagorean Theorem for right triangles to determine the diagonal length:

[tex]\implies \sf 2^2+6^2=c^2[/tex]

[tex]\sf 5.\quad 4 + 36 = c^2[/tex]

[tex]\sf 6. \quad 40 = c^2[/tex]

[tex]\sf 3.\quad \sqrt{40}=\sqrt{c^2}[/tex]

7.  √40 is between √36 and √49, so between 6 and 7 - closer to 6, so about 6.3 units.

The question is asking you to compare to decimal numbers:

0.56 and 0.056 and decide which one

If 85 pounds of seed are needed to plant a 10-acre field, then each pound can cover

Computing the above division, we get:

Now, in the second problem, the rent for 3 hours is $10, therefore, the cost per hour is:

The decimal form of the above solution is:

Answer:

a)

b)

The area of the circle is given by:

where r is the radius of the circle

Given area = 615.8 yd^2

so, we will calculate the radius of the circle as follows:

So, the radius of the circle = r = 14 yd

The circumference of the circle =

rounding the answer to the nearest tenth

So, the circumference = 88 yd

Step 1

Given; Kelly bought a cup of coffee and drank 5/8 of it. Write an addition equation to represent how much coffee is remaining.

Step 2

The addition equation representing how much coffee is remaining is;

Answer;

remember that the area of a trapezoid can be expressed as

Replace in the formula taking into account that B is the greater base, b is the smallest base and h is the height of the trapezoid.

The area of the trapezoid is 3,200 sqft.

In this problem, we have that

the center of the dilation is pointed A ----> because the intersection segments c

so

the scale factor is equal to

scale factor=AB'/AB

substitute given values

scale=2/10

We are asked to prove that triangles △PQR and △TSR are congruent.

Let us write the statements and reasons to prove that the given triangles are congruent.

We are given that R is the midpoint of QS and PT

This means that QR ≅ SR and also PR ≅ TR by the property of "Definition of midpoint"

So, now we have 3 equal sides in both triangles

Therefore, by the property of "Side-Side-Side" (SSS) the given triangles are congruent.

Given:

Simplify the expression

Solve the expression by applying the law of indices

Simplify further

Therefore, the answer is

To know the depth of the drawer you need to know that the shelf paper is the area of the interior faces of the drawer, then:

A = 846sq in

the area is equal to:

Where:

Ab is the area of the base of the drawer

Al is the area of the laterals of the drawer

The Area of the base is:

And the area of the laterals is the sum of the area of every lateral:

Then:

The we clear the x:

a) Recall that to evaluate a function at a given value, we substitute the variable by the given value.

Therefore, evaluating C(h) at h=6 we get:

Simplifying the above result we get:

b) Setting C(h)=364 we get:

Subtracting 76 from the above equation we get:

Dividing the above equation by 24 we get:

Answer:

(a) $220.

(b) 12.

To determine which pattern could represent points on the graph, we notice that the following points are on the graph:

We can infer that the point

is also on the line.

Therefore, the pattern that could be contained in the graph is:

Answer: Option A.

The entire unit circle measures 2pi, then, pi corresponds to the half of the unit circle. It is located at the point (-1,0).

The cosine of pi is equal to the x-coordinate, and the sin of pi is equal to the y-coordinate of the point pi.

Since it is located at (-1,0) thus the cos(pi)=-1 and sin(pi)=0.

The functions that are undefined for pi are those which have sin(pi) as denominator, let's check:

At the beggining the ratio of cats to dogs is

because ratio indicates a fraction (12 cats divided by 9 dogs)

After the adoption there were 11 cats and 8 dogs, then the ratio is

Since

10 - 2(5+11)

Step 1

first, you need to eliminate the () by making the operation inside, it is an addition

10-2(5+11)

10-2(16)

then,

Step 2

do the operation related to the (), it is multiplication, rember a(b) = a*b = (a)b = (a)*(b), the meaning is the same.

10-2(16)

10-32

Step 3

finally, do the subtraction

SOLUTION

Solve for the value of x using supplementary angles

If the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together.

To solve using the supplementary angle rule

Add the two angles together

Divide both side by 5

Hence the value of x = 37 degree

The measure of Angle 1 = <1 = 4x-5 = 4(37) - 5 = 143 degree

The measure of Angle 2 = <2 = x = 37 degree