O A. 1376 square inchesO B. 672 square inchesO C. 1562 square inchesO D. 936 square inches

Answer:  expect to lose 679.07 dollars

==========================================================

Explanation:

Assuming each free throw is independent of any other, the probability of making the next free throw is 359/449

The probability of making 3 in a row is (359/449)^3 = 0.511145 approximately which represents the probability of earning the $39

That must mean 1-0.511145 = 0.488855 is the approximate probability of losing $43

Let's make a table of outcomes and their associated probabilities.

X = amount of money the player earns (the person shooting the free throws)

[tex]\begin{array}{|c|c|} \cline{1-2}\text{X} & \text{P(X)}\\\cline{1-2}39 & 0.511145\\\cline{1-2}-43 & 0.488855\\\cline{1-2}\end{array}[/tex]

Then from here we'll multiply each X and P(X) value for each separate row.

Example: 39*0.511145 = 19.934655

Let's form a third column of these products

[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{X} & \text{P(X)} & \text{X}*\text{P(X)}\\\cline{1-3}39 & 0.511145 & 19.934655\\\cline{1-3}-43 & 0.488855 & -21.020765\\\cline{1-3}\end{array}[/tex]

Add up everything in the X*P(X) column and you should get roughly -1.08611 which rounds to -1.09

The player expects, on average, to lose about $1.09 each time they play this game. Playing 623 times means they should expect to lose 623*1.09 = 679.07 dollars

Of course, given the nature of this random process, it's not a guarantee they will lose this amount. This is just the average of many attempts.

The chance of the first student chosen not secretly being a robot is 2/6, but if the student is secretly a robot, then it doesn’t matter who the second student chosen is, because “neither” cannot be obtained.

So, 2/6th the time we care about the second student. There is in this case 1 non robot among the 5 remaining students, so the chance is 1/5 of picking that second non robot.

Hence;

2/6 x 1/5 = 2/30 = 1/15

Answer: Area = 120 cm^2

Explanation:

The formula for calculating the area of a parallelogram is expressed as

Area = base x height

From the information given,

base = 15

height = 8

Area = 15 x 8

Area = 120 cm^2

As a well accepted rule to solve this problem, we would transform all values to the lower units.

so for the first question:

3 km 9hm 9 dam 19 m + 7 km 2 dam

3,000 m 900 m 90 m 19 m + 7,000 m 20 m

= 4,009 + 7,020

= 11,029 m

The second question:

5 sq.km 95 ha 8,994 sq.m + 11 sq.km 11 ha 9,010 sq.m

5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq 9,010 sq m

= 5,103,994 sq m + 11,119,010 sq m

= 16,223,004 sq m

The third question:

44 m - 5 dm

44 m - 0.5 dm

= 43.5 m

The fourth question:

72 km 47 hm 2 dam - 11 km 55 hm

72,000 m 4,700 m 20 m - 11,000 m 5,500 m

= 76,720 m - 16, 500 m

= 60,220 m

The ratio of the number of freshmen to the number of seniors who attended the basketball game is 7 : 8.

Ratio is used to show the relationship between two or more numbers. Ratio provides information on the frequency of one value within other values. The sign that is used to represent ratio is :.

The ratio of freshmen to juniors is 3 : 4.

The ratio of juniors to seniors is 7 : 6.

In order to determine the required values, let us make some assumptions.

The number of freshmen is 21

The number of juniors is 28.

Given the two above assumption, the number of seniors = (28 x 6) / 7 = 24

The ratio of freshmen to seniors = number of freshmen : number of seniors

21 : 24

Express the ratio in its simplest form - 7 : 8.

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

Answer:

Step-by-step explanation:

fog(x)=3(-x+1)^2+5

         =3(x^2+2x+1)+5

        =3x^2+6x+3+5

fog(x)   =3x^2+6x+8

gof(x)=-(3x^2+5)+1

        =-3x^2-5+1

gof(x)=-3x^2-4

gof(-1)=-3(-1)^2-4

         =-3-4

gof(-1) =-7

The given algebraic expression is

To simplify this expression, we need to solve those parentheses in the first place, multiplying the sign in front of each of them.

Now, we reduce like terms. Remember that like terms are those who have the same variable, and those who don't have variables at all.

Take into account that ACB is an angle, because you can measure the vertex ACB just as an angle.

Then, the answer is:

ACB

Let's define the following variables,

x: cost of a math textbook

y: cost of a science textbook

He has to buy 3 math textbooks and 2 science textbooks, that is,

Total cost = 3x + 2y

The total cost of his textbooks is $487, then the linear equation is,

487 = 3x + 2y

Given:

Point (3,3)

The equation of the line,

To find the equation of the line that passes through (3,3) and is perpendicular to the line:

The perpendicular slope is,

Using the point-slope formula,

Hence, the equation of the line is,

Let us find the intercepts.

When x=0, we get y=8

So, the y-intercept is (0,8).

When y=0, we get

So, the x-intercept is (4.8,0).

Hence, the correct option which satisfies the equation of the line is D (last option).

LITERS OF SODA

24 people calls for 4 liters of lemon soda

18 people calls for x liters of lemon soda

24 people = 4 liters

18 people = x

cross multiply

24x = 72

Divide both-side of the equation by 24

x = 3

18 peoples calls for 3 liters of soda

PINT OF SHERBET

24 people calls for 2 pint of sherbet

18 people calls for x pint of sherbet

24 people = 2 pint

18 people = x

cross-multiply

24x = 36

Divide both-side of the equation by 24

x =1.5

18 peoples calls for 1.5 pint of sherbet

CUPS OF RICE

24 peoples calls for 6 cups of rice

18 people calls for x cups of rice

24 people = 6 cups of rice

18 people = x

cross multiply

24x = 108

Divide both-side of the equation by 24

x=4.5

18 people calls for 4.5 cups of rice

Hence, 18 people calls for; 3 liters of soda, 1.5 pint of sherbet and 4.5 cups of rice

Part A)

The given shipping box is a cuboid.

Recall that the longest length of the cuboid is diagonal.

The length of the longest item that fits inside the shipping box is the measure of the diagonal of the given box.

Given that measure breadth=16 inches and measure height = 12 inches.

Recall the formula for the diagonal d of the cuboid is

We need to find the measure of the length of the cuboid.

Consider the base of the cuboid which is in rectangle shape.

Here breadth of the rectangle is 16 inches and diagonal of the rectangle is 24 inches.

Recall the formula for the diagonal of the rectangle is

Substitute diagonal =24 inches and breath =16 inches, we get

Taking square on both sides, we get

Taking square root on both sides, we get

Now, substitute l=17.89, b=16, and h=12 in the diagonal of the cuboid equation to find the diagonal of the cuboid.

Hence the length of the longest item that fits inside the shipping box is 26.8 inches.

Part B)

Consider the length l=17.89 inches, b=16 inches, and height h=12 inches.

Recall the formula for the volume of the cuboid is

Substitute the length l=17.89 inches, b=16 inches, and height h=12 inches, we get

Hence the volume of the given shipping box is 3434.88 cubic inches.

We expect the variable to have a negative correlation.

This means that the more we use the phone the lower the charge will be.

ANSWER

The distance traveled

EXPLANATION

We want to identify the dependent variable from the scenario.

The dependent variable in a function is the variable that changes as a result of a change in the independent variable. This implies that it depends on the independent variable for its value.

From the scenario, the distance that the skateboard travels is dependent on the amount of time spent traveling.

Therefore, the dependent variable is the distance traveled.

Given the measure -845° we can find its coterminal measure on the interval, [0,360) below

Explanation

For angles measured in degrees

Answer: Option A

The option that indicates the required sum when n equals 0 to 4 of 2 minus 5 times n, is 2 + (−3) + (−8) + (−13) + (−18) (Option C)

The sum of the terms of a sequence is called a series.

From the given sum of a sequence, we are to find the sum of the given sequence from n = 0 to n = 4

When n = 0

a(0) = 2 - 5(0)

a(0) = 2 - 0

a(0) = 2

When n = 1

a(1) = 2 - 5(1)

a(1) = 2 -5

a(1) = -3

When n = 2

a(2) = 2 - 5(2)

a(2) = 2 - 10

a(2) = -8

When n = 3

a(3) = 2 - 5(3)

a(3) = 2 - 15

a(3) = -13

When n = 4

a(4) = 2 - 5(4)

a(4) = 2 - 20

a(4) = -18

Hence the required sum is 2 + (−3) + (−8) + (−13) + (−18)

Learn more about sum of sequences:
https://brainly.com/question/24160061

#SPJ1

The required sum is 2 + (−3) + (−8) + (−13) + (−18)  when n equals 0 to 4 of 2 minus 5 times n, which is the correct answer that would be an option (C).

The given expression is (2 - 5n)

We to determine the sum of the given sequence from n = 0 to n = 4

Let the required sum is  T₀ + T₁  + T₂ +  T₃ + T₄

Substitute the value of n = 0 in the expression (2 - 5n) to get T₀

⇒ T₀ = 2 - 5(0) = 2 - 0 = 2

Substitute the value of n = 1 in the expression (2 - 5n) to get T₁

⇒ T₁ = 2 - 5(1)  = 2 -5 = -3

Substitute the value of n = 2 in the expression (2 - 5n) to get T₂

⇒ T₂ = 2 - 5(2) = 2 - 10 = -8

Substitute the value of n = 3 in the expression (2 - 5n) to get T₃

⇒ T₃ = 2 - 5(3) = 2 - 15 = -13

Substitute the value of n = 4 in the expression (2 - 5n) to get T₄

⇒ T₄ = 2 - 5(4) = 2 - 20 = -18

Therefore, the required sum is 2 + (−3) + (−8) + (−13) + (−18)

Learn more about the sequences here:

brainly.com/question/21961097

#SPJ1

We know that a box of cereal states that there are 75 calories in a 3/4 cup.

To find the unit rate for calories cup we must represent the the situation with an equation

Then, to find the unit rate for calories we need to solve the equation for x

Now, to find how many calories there are in 2 cups we must multiply the unit rate for calories by 2

Finally, the answers are:

- The unit rate for calories is 100 calories/cup.

- In 2 cups there are 200 calories.

The simple interest formula is:

Where

i is the interest earned

P is the initial (loan) amount

r is the rate of interest

t is the time

Given,

P = 6500

r = 8%, or, 8/100 = 0.08

t = 5

Substituting, we get:

This is only the interest. Beyonce would need to pay the original (6500) plus this interest (2600) in total. Thus, she will have to pay:

As given by the question

There are given that function

Now,

To find the value of r(a^2), put x = a^2 into the function

Then,

Hence, the function is shown below:

The representation of a quadratic eqauation in vertex form is

The given vertex is,

And the given point through which the graph passes is,

Substitute the values in the formula of quadratic equation.

Hence, the equation in vertex form will be,

Answer:

5.4 × 10^-11

Step-by-step explanation:

The expression that shows when Keeshon bought Packages of pens represented by P is 24p.

An expression is used to illustrate the information that's given regarding a data.

Let the pens be represented by p.

In this case, there there were four pend in each package and Keyshawn gave six to his friends. This will be:

= 6(4 × p)

= 6(4p)

= 24p

This shows the expression.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

√70 = 8.3 is between 8 and 9

-√5 = -2.2 is between -3 and -2

√81 = 9 (exactly 9)

-2√4 = -2 × 2 = -4 (exactly -4)

4√8 = 8√2 = 11.3 is between 11 and 12

Solution:

The Function transformation of f(x) is:

If c > 0, then the graph shift left f(x+c).

If c<0, then the graph shift right f(x-c)

If d > 0, then the graph shift up f(x) +d

If d < 0, then the graph shift down f(x) -d

When the given equation is:

The transformation equation is given:

Then, the graph shifts down 2 units and shifts left 5 units.

Also, the vertical stretch with a scale factor 3.

Therefore, the correct options are B and D.

The best reflects solution of the equation is, There is only one solution: x = 3. The solution x = 2 is an extraneous solution.

What is extraneous solution?

An extraneous solution is a root of a converted equation that is not a root of the original equation because it was left out of the original equation's domain is referred to as a superfluous solution.

We are given the following equation,

(x / x - 1) - (1 / x - 2) = (2x - 5)/(x^2 - 3x + 2)

Solving the given equation we have,

(x^2 - 3x + 1) / (x^2 - 3x + 2) = (2x - 5) / (x^2 - 3x + 2)

x^2 - 3x + 1 = 2x - 5

x^2 - 5x + 6 = 0

x^2 - 3x - 2x + 6 = 0

x(x - 3) - 2(x - 3) = 0

(x - 3)(x - 2) = 0

(x - 3) = 0, (x - 2) = 0

x = 3, x = 2

At x = 2 the denominator of the equation will be 0. So solution of the equation is not valid at x = 2.

Therefore, x = 3 is the only one solution. The solution x = 2 is an extraneous solution.

To know more about the extraneous solution, click on the link

https://brainly.com/question/7280154

#SPJ13

If we use the variable t to represent the number of hours skating, the fixed price is $5 and the variable price is $3 per hour, that is, we have a variable cost of 3t.

So the final cost (variable C) is the sum of the fixed and variable costs:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

area = ?

Step 02:

Answer:

The width is 60 and the length is 120

Step-by-step explanation:

Let l = length

Let w = width

l = 2w

Perimeter

l + l + w + w = 360  Substitute 2w for l

2w + 2w + w + w =360  Combine line terms

6w = 360  Divide both sides by 6

w = 60

If w = 60 then l = 120