A spinner has eight = sections, five of which are gray and red with your blue. The Spinners spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray.

Answer:

The equation of the line k is

Explanation:

Given that k is perpendicular to line m, defined as:

y = 3x - 1

the slope of k is the negative reciprocal of the slope of line m.

The slope of m is 3

The negative reciprocal of m is -1/3 (this is the slope of k)

Therefore, k is in the form

Since this line passes through the point (x, y) = (-4, 3), we can use this to obtain the value for the y-intercept, b

Solving for b by subtracting 4/3 from both sides

The equation is therefore,

For solving this question, you should apply the equation:

The question gives

Next step - replace the values in the equation

According to the question, both polygons are similar. It means you can use proportions to find the value of x.

Replace for the given values in the picture

x has a value of 2.

Solution

Why can the Vertical Angle Theorem NEVER be used to prove two triangles are congruent?

The Vertical angle theorem states that vertical angles are always congruent.

We can't use this to proof congruence between two triangles because this theorem not provide enough evidence to obtain the SSS, ASA, SAS, AAS, HHL. For this reason is not appropiate to use it for this case.

To solve for total number of registered doctors:

Explanation:

The questions says, "24.8% of all registered doctors are females"

(Consider, total number of registered doctors as x)

that's,

Mathematically,

Therefore the total number of registered doctors ≈ 218,145

(a)

Thus, the required value in the blank in 9/11/

(b)

Thus, the required value in the blank is 9.

(c)

Thus, the requried value in the blank is 32.

The percent error of the house of the pizza would be 2.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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x ≥ 1 or x ≥ 3 is inequality of equations .

What do you mean by inequality?

9 - 4x ≥ 5

 4x ≥ 9 - 5

 4x ≥ 4

   x ≥ 1

4( - 1 + x) -6 ≥ 2

-4 + 4x - 6 ≥ 2

4x ≥ 2 + 8

4x ≥ 10

 x  ≥ 10/4

x ≥  5/2

x ≥ 2.5

x ≥ 1 or x ≥ 3

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From the table, we see that:

• Year 0 has a population of 10,

• Year 2 has a population of 20.

So after two years, the population of fish is doubled.

1) By year 4, we will have double the population of year 2, so the population will be 2*20 = 40.

2) To function that describes the growth of the population is:

Where P_0 is the initial population and r is the growth factor.

We know that after two years, the population of fish is doubled:

Using the formula above evaluated in t + 2, we have:

Equalling the last two equations, we have:

Solving for r the last equation, we have:

So the growth factor is r = √2.

Answer:

1. 40

2. √2

SOLUTION:

We want to know the scale factor of the transformation from;

We do this by taking ratios of corresponding sides, they should be the same in either case;

Thus , the scale factor is;

Thus, the scale factor is 2.

ANSWER and EXPLANATION

We are given x = 2.

To plot the graph of x = 2, it is important to note that the value of x does not change for this equation.

x is always 2 regardless of the value of y.

This means that we are going to plot a straight line that will straight up (and down as well) at x = 2.

The graph therefore is:

We were given the following information:

Plan 1

Cost = $175

It has unlimited call & texts as well as 15gb

Plan 2

Cost = $50 per month

It has unlimited call & texts as well as 6gb

After 6gb, data is charged $5 per gb

From this we have the following equations:

Given

Data from graph

Procedure

It is more likely to rain on the first 15 days of the month

Answer:

Explanation:

Given:

• Center: (12,-13)

• Point on circle: (18, -13)​

First, we find the length of the radius.

The general equation of a circle is given as:

Substituting the centre, (h,k)=(12,-13) and r=6, we have:

The equation of the circle is:

The Solution:

Given that a coat costs $99.99 and the sales tax is $75.

We are required to find the actual sales tax and the total cost of the coat.

Step 1:

We shall find the sales tax.

Thus, the sales tax is $7.00 or 700 cents.

Step 2:

We shall find the total cost of the coat.

The total cost of the coat is the sum of the coat's cost and the sales tax.

Therefore, the correct answers are:

Sales tax =$7.00 or 700 cents.

Total cost = $106.99 or 10699 cents..99 or 10699 cents.

A Nickel is 5 cents = 5/100 = $0.05

A dime is 10 cents = 10/100 = $0.1

A quarter is 25 cents = 25/100 = $0.25

Let N represent the number of nickels

Let D represent the number of dimes

Let Q represent the number of quarters

Jacob opened his piggy bank and found Nickels, Dimes, and Quarters totaling 81 coins. It means that

N + D + Q = 81

The total value of the coins was $7.90. It means that

0.05N + 0.1D + 0.25Q = 7.9

The number of Dimes was 7 less than triple the number of Quarters. It means that

D = 3Q - 7

The system of equations is

N + D + Q = 81

0.05N + 0.1D + 0.25Q = 7.9

D = 3Q - 7

Answer:

(B)a=18

Explanation:

The difference of a and 7 translated as an expression is:

Thus, the equation is:

To solve for a, add 7 to both sides of the equation:

The correct choice is B.

In this problem, we want to determine tangent of 62 degrees.

Recall the identity of tangent:

We are given the triangle:

Since we are referencing 62 degrees, the arrow pointing away from the 62 degrees is headed toward the opposite side. Therefore, the opposite side is 15, and the adjacent side is 8.

Tangent of 62 degrees is 15/8.

In order to calculate the area of the triangle, given the length of its three sides, we can use Heron's formula:

Where p is the semi-perimeter.

So, calculating the value of p and then the area of the triangle, we have:

Rounding to the nearest square foot, the area is 170 ft².

we have the following:

solving for x:

The answer is x = -3

So, y is a system two distinct exponential functions.

The function on the bottom is a cubic function with a y-intercept of -3, and the full dot means that point is included in the domain.

y = x^3 - 3, x ≤ 2

The other function is a quadratic function with a currently unknown y-intercept. The hollow dot on point 2 means that the point is not included in the domain of the function.

y = x^2 + b, x > 2

So, given that there is only one option that matches this, even with the unknown b value, we know:

[tex]y = \left \{ {{x^3 - 3, x\leq 2} \atop {x^2 + 6, x > 2}} \right.[/tex]

So the answer is C.

The binomial probability of x successes is 0.302.

Since we are dealing with a binomial probability experiment. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . p^r . q^n-r

Given: n=10, p=0.2, x=2

The failures can be calculated using q = 1 - p = 1 - 0.2 = 0.8

P(x = 2) =  10C2 x 0.2²  x 0.8¹⁰⁻²

            = 10!/(10-2)! 2!  x 0.2² x 0.8⁸

            = 10!/(8!2!)  x 0.2² x 0.8^8

            = 10x9x8!/(8!2!)  x 0.2² x 0.8⁸

            = 45 x 0.2² x 0.8⁸

           = 0.302

Therefore, the probability of x successes in 10 trials is 0.302

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The classification of each cost item as a differential cost, a sunk cost, an opportunity cost, or None, is as follows:

1. Cost of the old X-ray machine                                  Sunk cost

2. The salary of the head of the Radiology Dept.      None

3. The salary of the head of the Laboratory Dept.     None

4. Cost of the new color laser printer                          Differential cost

5. Rent on the space occupied by Radiology             None

6. The cost of maintaining the old machine               Differential cost

7. Benefits from a new DNA analyzer                         Opportunity cost

8. Cost of electricity to run the X-ray machines         Differential cost

9. Cost of X-ray film used in the old machine            Sunk cost

A differential cost is a cost that arises as the cost difference between two alternatives.

A sunk cost is an irrelevant cost in managerial decisions because it has been incurred already and future decisions cannot overturn it.

An opportunity cost is a benefit that is lost when an alternative is not chosen.

Thus, the above cost classifications depend on the decision to replace the old X-ray machine with a new machine (new X-ray or new DNA analyzer).

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Required Classify each item as a differential cost, a sunk cost, or an opportunity cost in the decision to replace the old X-ray machine with a new machine. If none of the categories apply for a particular item, select "None".

1. Cost of the old X-ray machine

2. The salary of the head of the Radiology Department

3. The salary of the head of the Laboratory Department

4. Cost of the new color laser printer

5. Rent on the space occupied by Radiology

6. The cost of maintaining the old machine

7. Benefits from a new DNA analyzer

8. Cost of electricity to run the X-ray machines

9. Cost of X-ray film used in the old machine

Since the sum of angles in a triangle is 180°, it follows that;

Since line segment AB is parallel to the line segment CD, it follows from the Corresponding angles theorem that:

Therefore, The req

Given:

z = 1.40 and z = 2.13

Let's find the area under the standard normal curve.

Let's find the score using the standard normal distribution table:

NORMSDIST(1.40) = 0.9192

NORMSDIST(2.13) = 0.9834

To find the area between them, we have:

P(1.40 < Z < 2.13) = P(Z<2.13) - P(Z<1.40) = 0.9834 - 0.9192 = 0.0642

Therefore, the area under the curve between z=1.40 and z=2.13 is 0.0642

ANSWER:

0.0642

As per given by the question,

There are given that, 4 green marbles and 1 blue marble contains in a box and pick a marble at randomly.

Now,

Here pick a marble out at random, so first pick a marble for blue;

Then,

Total number of green marbles is 4, and the total number of blue marble is 1, and;

The total numbers of marbles in a bag is, 4+1=5.

So,

For pick the blue marble from 5 marble,

Now,

Now, for pick the green marble from 5 marbles.

Here, total green marble is 4.

So,

Now,

From the question, there are clearly mention that if pick a blue, then stop because you won 20 points.

So,

Probability of the blue marble that won the 20 points.

then,

Now,

There are also mention that, pick a green marbles without replacing and if its blue then win the 10 points,

So,

probability of the blue marbles that won 10 pointss is,

Now,

Here, find the probability that no points for the first green ball is,

Now,

If you played this game 100 time, then the probability is,

now,

For 100 times,

Hence, 125 points can you expect to win.

We first need to calculate the slope of the line.

m=(0-0)/(5-0)=0 since the slope is equal to zero we have that the line is horizontal.Then the equation is

the equation is y=0

The expression that simplify to rational number are as follows:

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

In a simpler terms,  If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number.

Rational numbers can also be expressed in decimal form.

Rational numbers have terminating decimals.

Therefore, let's find the rational simplification in the options.

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From the given expression

a) The linear system of a matrix form is

The linear system of the given matrix will be

b) The entries in A of the matrix is

c) The dimensions of A, X and B are