What is the first quartile of the data displayed in this box-and-whisker plot?O 49O 41O 37O 353436403844424648T54 56525058

The given equation is

- 26 = 2(u - 7) - 8u

The first step is to expand the parentheses on the right side of the equation by multiplying the terms inside by the term outside. We have

- 26 = 2u - 14 - 8u

The next step is to collect like terms. The terms containing u will be on one side of the equation while the constant terms would be on the other side.

By adding 14 to both sides of the equation, we have

- 26 + 14 = 2u - 14 + 14 - 8u

- 12 = 2u - 8u

- 12 = - 6u

- 6u = - 12

Dividing both sides of the equation by - 6, we have

- 6u/- 6 = - 12/- 6

u = 2

The associative property of multiplication states that

Given that (a+b)(cd), then its associative counterpart is

Given the word problem, we can deduce the following information:

1. Fernando picks a marble at random.

2. Without putting the first marble back, he picks a second marble at random.

To determine if the events are dependent or independent, we first note that dependent events influence the probability of other events, while independent events do not affect one another.

Since Fernando picks a marble without putting the first marble back, the probability of the second pick is affected.

Therefore, the answer is dependent.

ANSWER

1/4

EXPLANATION

The spinner has 8 equally sized sections numbered 1 to 8.

The die has 6 faces.

On the spinner there are 4 sections with odd numbers and 4 sections with even numbers.

On a die, there are 3 faces with even numbers and 3 faces with odd numbers.

To find the probability of both events occuring, we need to find their individual probabilities and then multiply them together.

The probability of landing on an odd number on the spinner is:

4/8 i.e. 1/2

The probability of rolling an even number on the die is:

3/6 i.e. 1/2

Therefore, the probability of landing on an odd number on the spinner and rolling an even number on the die is:

Francis went on a business trip to Minneapolis, Minnesota, and stayed at a hotel for one night at a rate of $150, plus tax. The state of Minnesota has a general sales tax rate of 6.875%, and the city of Minneapolis has a general sales tax rate of 0.5%. In addition, Hennepin County, where Minneapolis is located, has a 0.25% sales tax for transit improvement and a 0.15% sales tax to finance a baseball stadium. Not only that, but there is an additional lodging tax in Minneapolis of 3%. Help Francis determine his total bill at the hotel. Round all your answers to the nearest cent.



How much money was Francis charged by the state of Minnesota at its general sales tax rate?



How much money was Francis charged by the city of Minneapolis at its general sales tax rate?



How much money was Francis charged by Hennepin County for transit improvement?



How much money was Francis charged by Hennepin County to help finance a baseball stadium?​

How much money was Francis charged by the state of Minnesota at its general sales tax rate?

we have that

the sales tax rate is 6.875%

6.875%=6.875/100=0.06875

Multiply by $150

150(0.06875)=$10.31

How much money was Francis charged by the city of Minneapolis at its general sales tax rate?

the sales tax rate is 0.5%

0.5=0.5/100=0.005

Multiply by $150

150(0.005)=$0.75

How much money was Francis charged by Hennepin County for transit improvement?

sales tax is 0.25%

0.25/100=0.0025

150(0.0025)=$0.38

How much money was Francis charged by Hennepin County to help finance a baseball stadium?​

the sales tax is 0.15%

0.15/100=0.0015

150(0.0015)=$0.23

additional lodging tax in Minneapolis of 3%

3/100=0.03

150(0.03)=$4.5

part 6

the total bill is equal to

150+10.31+0.75+0.38+0.23+4.5=$166.17

To find the x-coordinates of A and B, find the zeroes of the equation (set y=0 and solve for x).

If y=0 then:

Writing this quadratic equation in standard form, we get:

Use the quadratic formula to find the solutions for x:

Then, the x-coordinate of A is -1/2, and the x-coordinate of B is 2. Both the y-coordinate of A and B are 0.

On the other hand, to find the y-coordinate of C, which is the point where the graph crosses the Y-axis, replace x=0:

Therefore, the coordinates of A, B and C are:

The number of students given are 24.

The students who play sudoku is,

Out of the students who play sudoku , the students who play chess are

Therefore the students who play sudoku are 16 and play chess are 6.

The number of students who play both chess and sudoku is,

Substitute the values,

Thus , the number of students who play both chess and sudoku is, 2.

STEP - BY - STEP EXPLANATION

What to find?

P(X < 2)

Given:

From the given table;

P(X=-2) = 0.1

P(X=-1)=0.1

P(X=0)=0.2

P(X=1)=0.2

Substitute the values into the formula above and simplify.

Hence, P(X < 2)=0.6

ANSWER

0.6

Let take the x-intercept and the y-intercept.

• From the graph, the x-intercept (x-axis cutting point) is >>>

• The y-intercept (y-axis cutting point) is >>>

Now, let's find the point slope and slope intercept form of the line.

Point Slope Form

Where m is given by the formula,

So, let's substitute the the points and find the point slope form:

Thus, the point-slope form is

The slope intercept form is given by

Where

m is the slope and b is the y-intercept

Just re-arranging the point slope form will give us the slope intercept form. Shown below:

The slope intercept form is

Let's use a rule of three:

Therefore,

We would neeed 7978.67 lb of blue grass seed.

Recall that the identity property of addition states that:

Answer: Third option.

The degree of a polynomial is the highest power in the inividual terms

Hence the degree of this polynomial is 4

Answer:

Explanations:

Note that the secant and cosecant functions are cofunctions and are also complements.

Therefore, they are related mathematically as:

csc x = sec ( 90° - x)

x = 64°

csc 64° = sec (90° - 64°)

csc 64° = sec 26

Let x represent the number of general admission tickets sold.

Let y represent the number of reserved seating tickets sold.

We were told that general admission ticket costs $2 each and reserved seating ticket costs $6.50 each. This means that the cost of x general admission tickets and y reserved seating tickets would be

2x + 6.5y

The total amount received was $3953. It means that

2x + 6.5y = 3953

Also, the total number of tickets sold was 1297. It means that

x + y = 1297

x = 1297 - y

Substituting x = 1297 - y into 2x + 6.5y = 3953, it becomes

2(1297 - y) + 6.5y = 3953

2594 - 2y + 6.5y = 3953

- 2y + 6.5y = 3953 - 2594

4.5y = 1360

y = 1360/4.5

y = 302.22

Rounding to the nearest integer,

y = 302

x = 1297 - y = 1297 - 302

x = 995

995 general admission tickets were sold .

302 reserved seating tickets were sold

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

Explanation:

The y intercept always occurs when x = 0.

Visually this is where the function curve crosses or touches the vertical y axis.

The input x = 0 fits into the interval [tex]-2 \le \text{x} < 3[/tex] since [tex]-2 \le 0 < 3[/tex] is a true statement. This means we'll go for the second piece of the piecewise function.

Plug x = 0 into this middle piece to get...

f(x) = -x+1

f(0) = -0+1

f(0) = 1

The inequality: 2.5v + 20 ≥ 40

v ≥ 8

Rewards for signing up = 20

let the number of visits = v

rate = 2.5 points per visit

Amount needed for a free movie ticket is atleast 40 points

Atleast 40 is reperesented as ≥ 40

Rewards for signing up + rate (number of visits) ≥ 40

20 + 2.5(v) ≥ 40

The inequality:

2.5v + 20 ≥ 40

Solving the inequality:

2.5v + 20 - 20 ≥ 40 - 20

2.5v ≥ 20

v ≥ 20/2.5

v ≥ 8

For two ratios to be equivalent, its means and extremes if multiplied must be equal to each other.

Let's start with Option A.

Since they are equal, then Option A is equivalent to 4/5.

Let's check Option B.

Let's check Option C.

Let's check Option D.

Let's check Option E.

FInally, let's check Option F.

Hence, only Option A, Option C, and Option E are equivalent to ratio 4/5.

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

Step 01:

Data

-18=6a-6

a = ?

Step 02:

-18 = 6a - 6

-18 + 6 = 6a

- 12 = 6a

-12 / 6 = a

- 2 = a

The answer is:

a = - 2

Fom the question, the following can be derived:

Ticket price = $3

Winning price = $1000

Probability of winning (Pwin) = (1/200)

Probability of not winning (Ploss) = [1 - (1/200)] = 199/200

The net income if Raul wins (Nwin) = $1000 - $3 = $997 (when there is no refund)

The net loss if Raul does not win (Nloss) = -$3

(a) We are to determine his expected value:

To determine his expected value, we using this:

(Pwin * Nwin) + (Ploss * Nloss)

((1/200) * 997) + ((199/200) * -3)

4.985 - 2.985 = 2

The expected value is 2.

(b) We are also to determine the fair price of a ticket

To get the fair price of a ticket, we will add the cost of ticket and the expected value:

Cost of ticket + Expected value

3 + 2 = 5

Therefore, the fair price of a ticket is 5.

Given the functions

First, we get the composite function

To get f(√5x³), we will substitute x in f(x) with √5x³ as shown:

The square root and power 2 cancel each other

Answer:

In the given triangle ABC ,

Sum of the angles of of a triangle is 180 degrees.

Therefore,

By using sine rule,

Substituting the given values in the given equation,

The Solution:

Given:

Required:

Find f(2):

Find g(-5):

Find h(-1/2):

Answer:

f(2) =

now we can solve the inequalty for x by passing the -7 to the other side:

Now to change the sign of the -4x we have to invert the inequality:

so the only solution is -8 and we can prove it:

There would be a line of 4 rectangles, and 2 rectangles on the top and bottom of the second one. The first and third rectangles would have a width of 12, and the first and fourth would have a width of 9.

The rectangles on the top and bottom would also have a width of 9. The 4 rectangles would have a height of 5, and the 2 rectangles on the top and bottom would have a height of 12.

We have to write a quadratic equation, in factored form, that has an x-intercept at x=2 and x=-1, and a y-intercept 6.

As the x-intercepts are the roots of the function, we can write the equation as:

The parameter a will be defined in order to have a y-intercept at y=6. That means that, when x is 0, the value of the function is y=6.

Then, we can replace x with 0 and y with 6 and find the value of a:

With the value of a=-3, we can write the factorized form of the equation as:

Graph:

Answer: y=-3(x-2)(x+1)

tangent = tangent

x^2-1 = 24

Add 1 to each side

x^2 -1 +1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

x cannot be negative, because distances cannot be negative

The area of rectangle WXYZ is 39 units sq.

Distance between two points is the length of the line segment that connects the two given points and is find by formula

√ (x2 -x1)² + (y2-y1)²

Given that, On the coordinate plane, rectangle WXYZ has vertices W(-3,-7), X(3,2), Y(6,0), and Z(0,-9).

In the given rectangle, WX = YZ

Area of rectangle = length*width

Here, length = XY and width = WX

XY = √(6-3)²+(0-2)² = √13 units

WX = √(3+3)²+(2+7)² = √117 units

Area = XY*WX = √13*√117 = 39 units sq.

Hence, the area of rectangle WXYZ is 39 units sq.

For more reference Distance between two points, click;

https://brainly.com/question/24485622

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We have:

Let x = number of apples

Let y = number of oranges

Maggie bought three times as many apples as she did oranges, this is:

x = 3y

$3 each apple

$2.50 each orange

Total cost $46

Then, we have the expression:

Next, solve the system of equations:

we replace x = 3y in the second equation

And solve for y

Therefore, x is:

We can put a circle on quadrangle only if :

So,

Answer: 78,800

The formula is given as

Sn = n/2(u1 + Un)

Let n = 16

u1 = first term

Un = Last term

According to the table given

U1 = 6800

U16 = 3050

S16 = 16/2( u1 + u16)

S16 = 16/2(6800 + 3050)

Firstly, solve the expression inside the parenthesis

S16 = 16/2 (9850)

S16 = 8 x 9850

S16 = 78,800

The answer is 78,800