What is the measure of a?
In the figure below, C D bisects ∠A C B
AB=B C
∠ B E C=90° and
∠D C E=42°
Find the measure of ∠A

The probability that you, Shirley, and Matthew are chosen is 0.0001

Probability:

Probability refers the measure of the likelihood of an event to occur.

The formula of Probability is

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Given,

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 28 of you want to go, he decides that the only fair way is to draw names out of a hat.

Here we need to find the probability that you, Shirley, and Matthew are chosen.

Here we have assuming that the selection process is fair;

We know that, the total number of employees is 28

Therefore, the probability of selecting each employee is,

=> 1/28

So, the probability of selecting yourself, Shirley, and Matthew is calculated as,

=> 1/28 x 1/27 x 1/26

=> 1/19656

=> 0.00005

When we round off it into four decimal place then we get,

=> 0.0001

Therefore, the probability that you, Shirley, and Matthew are chosen 0.0001.

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The fraction of fishes which are guppies in Marcus's aquarium is 2/3

Number of gold fishes in the aquarium = 1/9

Number of angelfish in the aquarium = 5/9

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Let x be the total number of fishes in Marcus's aquarium:

Number of guppies = Total fishes - Number of gold fishes - Number of angelfishes

= x - 1/9 - 5/9

= x - 6/9

x = 6/9 or 2/3

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Answer:

5

Step-by-step explanation:

We know that - (-7) = +7, so

-2 - (-7) = -2 + 7 = 5

B. 2/10 = 20%

The total number of weeks shown in the simulation = 10

By observing the simulation, we would see that there is no 0 or 1 in group 2 and group 3. This means that Juan was late everyday of week 2 and week 3

The number of weeks that Juan was late everyday = 2

The estimated probability that Juan will be late evryday of next week = 2/10 = 20%

The solution of equation as ordered pairs can be given as {0, 3/2, 3, 6, 15/2}.

Domain may be defined as the input variable x for any of the given function which gives a suitable set of output variables y. The input variable is called the independent variable whereas the output variable is called the dependent variable. The equation given in the question 3x - 2y = -6 can also be expressed as y = (3x + 6)/2. The ordered pairs of Domain are {-2, -1, 0, 2, 3}. Now if we put these values as values of x we get the values of y as,

At x = -2, y = 0, at x = -1, y = 3/2, at x = 0, y = 3, at x = 2, y = 6 and at x = 3, y = 15/2.

These are the values of outputs, and the ordered pair will be expressed as

{0, 3/2, 3, 6, 15/2}.

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The value of expression ( – 5q–1)–( – 2q–8) is -3q + 7.

As per the known fact, the similar signs are consequently takes as positive for calculation. So, the two negative signs will be takes as positive. So, rewriting the expression to solve and find its value.

Value of expression = (-5q - 1) + 2q + 8

Rearrange the expression

Value of expression = - 5q + 2q - 1 + 8

Performing addition of numerals written with q and subtraction of constant values

Value of expression = - 3q + 7

Thus, the value of expression mentioned in question is -3q + 7.

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To be able to determine if the figure is a right triangle.

The given length must satifies the given conditions,

a.) The sum of the two sides must always be lesser than the other side. We get,

Given: a = 14 ; b = 16 ; c = 18

Let's check,

a + b > c ; 14 + 16 > 18 = 30 > 18 Satisfies the criteria

b + c > a ; 16 + 18 > 14 = 34 > 14 Satisfies the criteria

a + c > b ; 14 + 18 > 16 = 32 > 16 Satisfies the criteria

b.) The square of the longest side is equal to the sum of the squares of the other two sides (Pythagorean Theorem). We get,

Therefore, checking the relationships of the given the following lengths, the figure is not a right tiangle.

The coordinates of the other endpoint  of the segment, given its midpoint and one endpoint are (-14, -9)

The Midpoint Formula for a line with endpoints as (x₁, y₁) and (x₂, y₂) is;

((x₁ + x₂)/2, (y₁ + y₂)/2)

We are given the  following;

Midpoint (-15,-6)

End point (-16,-3)

Let x₁ = -16, the x coordinate of the endpoint

Let x₂ = the x coordinate of the unknown endpoint

Let y₁ = -3, the y coordinate of the endpoint

Let y₂ = the y coordinate of the unknown endpoint

Thus, for the x coordinate of the unknown endpoint;

(x1 + x2)/2

(-16 + x₂)/2 = -15

-16 + x₂ = -30

x₂ = -14

For the y coordinate of the unknown endpoint;

(y1 + y2)/2

(-3 + y₂)/2 = -6

-3 + y₂ = -12

y₂ = -12 + 3

y₂ = -9

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The answer would be B.

The relationship is proportional. The constant of proportionality is 5.

Considering the given linear function, it is found that:

a)

b) The discrete domain of the function is: {0, 1, 2, 3, 4, 5, 6, 7}.

c) The graph of the function is given at the end of the answer.

A linear function, in slope-intercept format, is modeled according to the rule given below:

y = mx + b

In which:

The amount of money you have remaining after printing p photographs is  modeled by the following function:

M(p) = 10 - 1.44p.

Hence the coefficients are as follows:

The number of photos printed is a discrete number, as this number cannot assume decimal values, hence the domain is also discrete.

You cannot print a negative value of numbers, neither can M(p) be negative, hence the domain, which is the number of photos you can print, is:

{0, 1, 2, 3, 4, 5, 6, 7}.

Considering the above domain, the graph of the function is given by the image at the end of the answer.

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Answer: Correct! The answer is 12.

Step-by-step explanation:

1) Draw the triangle.

Drawing a triangle usually helps you see the problem better!
|    \

|        \  13 cm

|           \

|______\

  5 cm

2) Solve the other leg

To find the other leg, we need to use the Pythagorean theorem. Which goes like this

[tex]a^2+b^2=c^2[/tex]

We will then substitute the numbers into the equation

[tex]5^2+b^2=13^2[/tex]

Simplify

[tex]25+b^2=169[/tex]

Set the variable on one side

[tex]b^2=144[/tex]

Get rid of the squared in the b by square rooting both sides.

[tex]b=12[/tex]

The answer is 12.

Answer:

  150 km

Step-by-step explanation:

You want to know the number of kilometers each train has traveled when they meet. The first goes 60 km/h and has a half-hour head start. The second goes 75 km/h.

At t hours after 10 am, the distance of the first train from Kanpur will be ...

  distance = speed × time

  distance = 60t

At t hours after 10 am, the distance of the second train from Kanpur will be ...

  distance = 75(t -1/2) . . . . . . the distance is 0 at 10:30 am, 1/2 after 10 am

These distances will be equal when ...

  60t = 75(t -1/2)

The time at which the trains meet will be the solution to the above equation.

  60t = 75t -37.5 . . . . eliminate parentheses

  0 = 15t -37.5 . . . . . . subtract 60t

  0 = t -2.5 . . . . . . . . . divide by 15

  2.5 = t . . . . . . . . . the trains meet 2.5 hours after the first one leaves

The distance traveled by each of the trains is the same at that time. It will be the distance traveled by the first train:

  60t = 60(2.5) = 150 . . . . km

The two trains will be together 150 km from Kanpur.

Answer:

melissa spent approximately $491 in total

Answer:

P(X = 2) = 43.2%

Step-by-step explanation:

P(X = 2) = 3 * 0.6^2 * (1 - 0.6)^(3 - 2)

P(X = 2) = 54/125

P(X = 2) = 0.432

P(X = 2) = 43.2%

Recall that to complete the table we have to evaluate the given function at every value of x:

Answer:

Table:

Graph:

Answer: 17x - 39

Step-by-step explanation:

1) Find all sides of the hallway.

P = 4x-9 + x-2 + x+2 + 3x - 11 + x-2 + 3x - 11 + x+4 + 2x-9 + x-1

2) Add it together

P= 17x - 39

The equation of the line 3y + x = 3 through pair of points (0,1) and (3,0), the equation of the line 6y = 2x +3 through pair of points (1/2,2/3) and (-3/2,5/3) and the equation of the line  y = 2x + 4 through pair of points (-3,-2) and (1,6)

The equation of the line through pair of points (0,1) and (3,0)

⇒ y - y₁ = [(y₂ - y₁)/(x₂ -x₁ )](x - x₁ )

Here x₁ = 0 and y₁ = 1

x₂ = 3 and y₂ = 0

The equation of the line is obtained by substituting these values into the above equation;

⇒ y - 1 = [(0-1)/(3-0)](x -0)

⇒ y - 1 = (-1/3)x

⇒ 3y - 3 = x

⇒ 3y + x = 3

The equation of the line through pair of points (1/2,2/3) and (-3/2,5/3)

⇒ y - 2/3 = [(5/3 -2/3)/(-3/2-1/2)](x -1/2)

⇒ y - 2/3 = [(3/3)/(-4/2)](x -1/2)

⇒ y - 2/3 = (1/3)(x -1/2)

Multiply by 6 both sides of the equation,

⇒ 6y - 4 = 2(x -1/2)

⇒ 6y = 2x -1 + 4

⇒ 6y = 2x +3

The equation of the line through pair of points (-3,-2) and (1,6)

⇒ y - (-2) = [(6-(-2))/(1-(-3))](x -(-3))

⇒ y + 2= (8/4)(x + 3)

⇒ y = 2x + 6 -2

⇒ y = 2x + 4

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Okay, here we have this:

Considering the provided set of numbers we are going to organize the numbers from smallest to largest, so we obtain the following:

Remember that 5/6 is approximately 0.83 and 4/5 is 0.8, then:

Considering the number line and that the smaller numbers are further to the left and the larger numbers are further to the right, we are left with the following order from least to greatest: 4/5, 0.82, 5/6.

Given:

a) The radius is​ doubled.

b) The radius is​ tripled.

To find:

The changes to the surface area of a sphere

Explanation:

Let us take the original radius as r.

The surface area of the original sphere is,

a) The new radius will be,

So, the surface area of the sphere with the new radius is,

Therefore, the surface area of a sphere becomes four times the original surface area if the radius is​ doubled.

b) The new radius will be,

So, the surface area of the sphere with the new radius is,

Therefore, the surface area of a sphere becomes nine times the original surface area if the radius is​ tripled.

The equation for the situation a company prints designs on T-shirts is (40+12x) when x is the number of T-shirts.

According to the situation,

We have the following information:

The company charges $40 for set-up costs plus $12 per shirt.

So, the basic charge is added to every t-shirt.

Now, let's take the number of T-shirts on which the company prints designs on shirts to be x.

So, we have the charge for x number of t-shirts is:

$(40+12x)

Hence, the equation for the situation a company prints designs on T-shirts is (40+12x) when x is the number of T-shirts.

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Answer:

78.59$

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference between two consecutive even integers is 2.

Let the first of the three integers is x, then the following ones are:

x + 2 and x + 4.

The sum of the three is - 78. Express it as equation and solve for x:

The integers are - 28, - 26 and - 24

Answer:

C

Step-by-step explanation:

HOPE IT HELPS MARK BRAINLEIST PLS

The solution for the given inequality is −8<x<3 or 3<x<7.

The given inequality is (x+8)(x-3)²(x-7)³<0.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality can be solved as follows

Solve for x by simplifying both sides of the inequality, then isolating the variable.

Inequality Form: x+8<0

x<-8 (Subtract 8 on both the sides of the inequality)

(x-3)²<0

⇒ x-3<0

⇒ x<3 (Add 3 on both the sides of the inequality)

(x-7)³<0

⇒ x-7<0

⇒ x<7 (Add 7 on both the sides of the inequality)

Solution is −8<x<3 or 3<x<7

Therefore, the solution for the given inequality is −8<x<3 or 3<x<7.

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The linear equation that passes through the two points (0, 360) and (10, 560) is:

y = 20*x + 360

Remember that the slope-intercept form of a linear equation is:

y = a*x + b

Where b is the y-intercept and a is the slope or rate of change.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

[tex]a = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

Here the line must pass through (0, 360) and (10, 560), so the slope is:

[tex]a = \frac{560 - 360}{10 - 0} = 20[/tex]

And because of the point (0, 360) we can see that the y-intercept is 360, then the linear equation is:

y = 20*x + 360

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Alice plans to buy a house. She has $2,000 in her savings account.

She plans to contribute $150 to the account each month.

We know that with each month, n, she deposits $150 and so, each month, her savings account balance increases by $150.

This simply means that after n months, her savings account balance would have increased by:

150 * n = 150n

Her initial balance was $2000, therefore, her balance after n months will be the sum of 150n and the amount that was initially there.

That is:

f(n) = 2000 + 150n

This is the function that describes the relationship between the number of months and her balance.

A lowest denominator to solve the given equation is 10.

What are fractions?

Fraction are ratios in which numerator and denominator are both integers and denominator is not zero.

We are given a equation

[tex]\frac{74}{5}+1\frac{9}{10}[/tex]

Upon solving we get the following

[tex]\frac{74}{5}+\frac{19}{10}[/tex]

If we multiply both numerator and denominator of the first term by 2 we get

[tex]\frac{148}{10}+\frac{19}{10}[/tex]

Hence after this we can add

Hence A lowest denominator to solve the given equation is 10

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