You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outcomes are there for this compound event?

Answers

Answer 1

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..


Related Questions

What is the midpoint of OA

Answers

Answer should be A if I'm not wrong.

Answer:

Option A is the correct answer.

Step-by-step explanation:

Given  

The coordinates of point A = (2m, 2n)

The diagram is plotted on the graph, where O represents origin.

As we know that O is the origin whose coordinates are (0,0)

The formula for mid-point is:

Mid-point=((x_1+x_2)/2,(y_1+y_2)/2)

So,

The x-coordinate of mid-point of OA=(2m+0)/2

=2m/2

=m

The y-cooridnate of mid-point of OA=(2n+0)/2

=2n/2

=n

So the mid-point of OA is (m,n) ..  

which of the following is a zero from the function f(x)=(x+3)(x-7)(x+5)? X=-7, X=-3, X=3, X=5

Answers

Answer:

x = - 3

Step-by-step explanation:

To find the zeros set f(x) = 0, that is

(x + 3)(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 7 = 0 ⇒ x = 7

x + 5 = 0 ⇒ x = - 5

Does anyone know ? Reply

Answers

Answer: When I converted it on a calculator it gave me 3/125 hope that is what you were looking for.

Step-by-step explanation:

Answer:3 over 125

plzz give brainliest i am 100% sure

Step-by-step explanation:

Steps to convert decimal into fraction

Write 0.024 as  

0.024

1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.024 × 1000

1 × 1000

=  

24

1000

Reducing the fraction gives

3

125

Suppose that you are driving and you come to an intersection where you can only turn in one of three directions....

Answers

Hello There!

The "Probability" of turning on the right road is 1/3 also known as a 33.3% chance. This would be unlikely

Between which X-values and y-values does the cluster in this scatter plot Lie 30 POINTS

Answers

The green circle shows the cluster. This is where most of the data tends to stay. The smallest x-value is 4 (shown by the vertical pink line) and the largest x-value is 6 (shown by the vertical blue line). As for the y-value: the smallest is shown by the horizontal pink line at 6 and the largest is 9 shown by the horizontal blue line. This means the answer is C.

Hope this helped :)

Just need question # 12. Thanks

Answers

There are two lines from the center of the circle labeled 5.

The lines at 90 degrees from the 5 are chords.  Because both lines are the same distance from the center they are the same length.

The one on the top is labeled as 9, so the line on the bottom is also 9 units long.

X is half the length, so would b 9 /2 = 4.5 units long.

standard form of the equation x^2 + 4y^2 = 4.

Answers

Answer:

This equation in standard for would be x^2/4 +  y^2 = 1

Step-by-step explanation:

If you subtract 12 from my number and multiply the difference by-3 the result is -54 what is my number

Answers

first, make an equation:

[tex] - 54 = - 3x - 12[/tex]

then, add twelve to both sides to remove it from the right:

[tex] - 42 = - 3x[/tex]

then just divide by (-3) to get the value of x:

[tex]x = 14[/tex]

The student's question involves setting up and solving a simple algebraic equation. By following the order of operations and isolating the variable, we find that the unknown number is 30.

To solve the problem stated, 'If you subtract 12 from my number and multiply the difference by -3 the result is -54', let's establish a variable to represent the unknown number. Let's call this number 'x'. According to the problem, we need to perform two operations on this number:

1. Subtract 12 from the number x. 2. Multiply the result by -3, which should result in -54.

This establishes the equation:

(x - 12) × -3 = -54

To find x, we'll follow these steps:

Divide both sides of the equation by -3 to isolate the term (x - 12): (x - 12) = -54 / -3 (x - 12) = 18

Add 12 to both sides of the equation to solve for x: x - 12 + 12 = 18 + 12 x = 30

Therefore, the number we're looking for is 30.

HEEEELLLLLPPPPPP PPPPPLLLLLLZZZZZZ

Answers

Answer:

(6,4)

Step-by-step explanation:

y = x-2

y =4

Set the two equations equal

x-2 =4

Add 2 to each side

x-2+2 = 4+2

x =6

Now we need to find y

y =4

(6,4)

Answer:

Step-by-step explanation:

For question 4, the top equation has an x and a y value in it. The second equation is just a y value. So put the 4 into the top equation.

4 = x - 2                   Add 2 to both sides

4 + 2 = x -2 + 2

6 = x

You can actually graph this to show that the solution set is (6,4) The solution set is marked (6,4).

The read line is y = x - 2

The blue line is y = 4

Please help! The figure is a rhombus, and I am trying to find the measure of angle ADB

Answers

Answer:

86 - 9x

Step-by-step explanation:

In a rhombus, adjacent angles are supplementary.  So:

∠ADE + ∠EDC + ∠DCE + ∠ECB = 180

Also, the diagonals of a rhombus are perpendicular.  Since the sum of a triangle's angles add up to 180:

∠EDC + 90 + ∠DCE = 180

∠EDC + ∠DCE = 90

Substituting:

∠ADE + 90 + ∠ECB = 180

∠ADE + ∠ECB = 90

∠ADE + 9x + 4 = 90

∠ADE = 86 - 9x

∠ADB is the same as ∠ADE, so the answer is 86 - 9x.

Angle ADB is 41°.

Rhombus

It is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In Rhombus opposite sides are parallel and all sides are equal. And its diagonals intersect at the right-angle.

Given

A rhombus ABCD,

DCA = 13x - 16

ACB = 9x + 4

To find

The measure of ∠ADB.

How to get the measure of ∠ADB?

We know that the angle ∠DCA and  ∠ACB are equal.

13x - 16 = 9x + 4

13x - 9x = 4 + 16

       4x = 20

         x = 5

So the angle ∠DCA and ∠ACB will be

∠DCA = 13x - 16 = 64 - 16 = 49

∠ACB = 9x + 4 = 45 + 4 = 49

The sum of the internal angle is 360 degrees

∠ABC + ∠BCD + ∠CDA + ∠DAB = 360

∠CDA + ∠BCD + ∠CDA + ∠BCD = 360

                            ∠ABC + ∠BCD = 180

                                  ∠CDA + 98 = 180

                                          ∠CDA = 82

So we know

2 x ∠ADB = ∠CDA

2 x ∠ADB = 82

     ∠ADB = 41

Thus, Angle ADB is 41°.

More about the rhombus link is given below.

https://brainly.com/question/14462098

Find the area of the rhombus.
Please need help

Answers

Answer:

96cm2

Step-by-step explanation:

Area of rhombus=1÷2×d1×d2

=1÷2×12×16

=96

96cm². The are of the rhombus of the image is 96cm².

The key to solve this exercise is breaking down the rhombus in four equals right triangles, each triangle has the sides 10cm, 8cm and 6cm. We can calculate the area of one right triangle and multiply by 4 in order to get the total area of the rhombus.

The area of a triangle is [tex]A_{t}=\frac{bxh}{2}[/tex] where b is the base and h is the height.

The base of the one right triangle is 8cm and the height is the leg adyacent to the right angle that is 6cm. Calculating the area of the right triangle:

[tex]A_{t}=\frac{8cmx6cm}{2}=\frac{48cm^{2} }{2} =24cm^{2}[/tex]

The total area of the rhombus is [tex]A = 4A_{t}[/tex]

[tex]A = 4x24cm^{2}=96cm^{2}[/tex]

the plot in A - D all show ________ correlation.

A. negative

B. No

C. positive

D. prime


I think it's Answer C. but I'm not sure. please help and thank you ​

Answers

Answer:

C. Positive

Step-by-step explanation:

When x and y are both increasing, the slope of the line of best fit is positive, and so is the correlation. Hope this helps!

Answer

positive

Explanation

The answer is positive correlation, since all four of the graphs indicate the increase of all the variables.

It could not be negative correlation, because the line on graph would have more of a downward appearance.

ILL GIVE BRAINLIEST PLS HELP ME

When a system of equations appears on a graph, what are the characteristics of a system with one solution? No solution? Infinite solutions?

Answers

One solution

The two (or more) equations would only intersect once

No solution

Lines never intersect

The lines are parallel

Infinite solutions

The lines are the exact same

That’s all the characteristics I know

Which is the graph of the equation

(X-1)^2/ 3^2 + y^/ 4^2 = 1 ?

Answers

Answer:

the answer is C

Step-by-step explanation:

The equation shows the third equation

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). 6.9

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

As, per the given equation

(X-1)^2/ 3^2 + y^/ 4^2 = 1

The graph which is well defined from this equation is graph (C).

As, shown below.

Learn more about graph here:

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ivan pays an $8 monthly service fee so he can rent movies for $1.50 each and games for 3.00 each. Last month, Ivan rented 6 movies and 5 games. Which expression and result show the total amount that Ivan spent last month on his movie and game rentals?

Answers

I think 24 dollars without the monthly fee

Answer:

Expression: 8 + m(1.5) + g(3)

Result: 32

Step-by-step explanation:

Let m represent the number of movies and g represent the number of games Ivan rent, then total amount he spent is

8 + m(1.5) + g(3)  

Since he rented 6 movies and 5 games

→ 8 + 6(1.5) + 5(3)

→ 8 + 9 + 15

32

Given the side lengths below, determine which triangle is not possible.


(A) 4, 5, 6

(B) 4, 3, 6

(C) 3, 4, 5

(D) 3, 3, 6

Answers

Answer:

(D) 3, 3, 6

Step-by-step explanation:

The triangle inequality says the sum of the shortest two legs must be longer than the longest. In the case of {3, 3, 6}, the sum is exactly equal to the longest, so the "triangle" will look like a line segment and have zero height and zero area,

Some authors describing the triangle inequality find that to be an acceptable condition. Apparently the author of this question does not.

The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22. What is the score that is 3 standard deviations below the​ mean?

Answers

Answer:

Step-by-step explanation:

If the mean is 110, and the standard devaition is 22,

1 standard dev. below the mean is 110-22

2  standard dev below the mean is 110-22-22

3 standard dev below the mean is 110-22-22-22

Hope that helps!

The score that is 3 standard deviations below the​ mean will be 44.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22.

Then the score that is 3 standard deviations below the​ mean will be

The first standard deviation below the mean will be

⇒ 110 - 22

⇒ 88

The second standard deviation below the mean will be

⇒ 110 - 22 - 22

⇒ 66

The third standard deviation below the mean will be

⇒ 110 - 22 - 22 - 22

⇒ 44

More about the z-score link is given below.

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Triangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′

Answers

Answer:

The distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′ is equal to [tex]5\ units[/tex]

Step-by-step explanation:

we know that

To find the distance, apply the Pythagoras Theorem

Let

x ----> the distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′

[tex]x=\sqrt{4^{2}+3^{2}} \\ \\x=\sqrt{25}\ units\\ \\x=5\ units[/tex]

If you exert a force of 10.0 n to lift a box a distance of 0.75 m how much work do you do

A. 0.075 J

B. 7.5 J

C. 10.75 J

D. 75 J

Answers

Answer:

The work done is 7.5 Joules.

Step-by-step explanation:

Work Done is the product of the distance covered and the force applied.

[tex]WorkDone=Force\times Distance[/tex],

The force applied is 10.0N.

The distance covered is 0.75m.

This implies that:

[tex]WorkDone=10\times0.75[/tex],

[tex]WorkDone=7.5J[/tex].

The work done is 7.5 Joules.

Multiply the quantity 5 less than 3 times a number by the quantity 2 times the same number added to five. Please show your work.

Answers

Answer:

[tex](3x-5)(2x+5)[/tex]

Step-by-step explanation:

Let

x ----> the number

we know that

The algebraic expression of the phrase "Multiply the quantity 5 less than 3 times a number by the quantity 2 times the same number added to five" is equal to

[tex](3x-5)(2x+5)\\ \\6x^{2}+15x-10x-25\\ \\6x^{2}+5x-25[/tex]

A trinket factory can produce 3,000 trinkets per day. The warehouse has a capacity of 50,000 trinkets. Currently, there are 8,000 trinkets in the warehouse. Assume that no trinkets are going to be shipped out of the warehouse for a while.

1) Write an equation for the number of trinkets T in the warehouse after D days.

2) How many days will it take to fill the warehouse?

Answers

An equation for the number of trinkets in the warehouse after x days:

8,000 + 3,000x = 50,000

How many days will it take to fill the warehouse?

8,000 + 3,000x = 50,000

3,000x = 42,000

x = 14

Answer:

Per day production = 3000

The capacity of the warehouse = 50000

Current count of trinkets = 8000

Part 1:

Assuming that no trinkets are going to be shipped out,

The equation for the number of trinkets T in the warehouse after D days:

[tex]T=8000+3000D[/tex]

Part B:

We will put T=50000 in above equation.

[tex]50000=8000+3000D[/tex]

=> [tex]3000D=50000-8000[/tex]

=> [tex]3000D=42000[/tex]

D = 14

Hence, it will take 14 days to fill the warehouse.

What are the vertex and x-intercepts of the graph of the function below?

y=x^2-6x-7

A. Vertex: (3, -16); Intercepts: x= -1, 7

B. Vertex: (3, -2); Intercepts: x= 1, -7

C. Vertex: (3, -2); Intercepts: x= -1, 7

D. Vertex: (3, -16); Intercepts: x= 1, -7

Answers

Answer:  3,-16  x=-1,7

Step-by-step explanation:

Which graph represents the function f(x) 2x-1/x-1 f(x) 2x-1/x-1​

Answers

Answer:

See attached file

Step-by-step explanation:

5. What is angel 8 use picture above

Answers

Answer:

Angle 8 = Angle 4

Step-by-step explanation:

Answer:

4.  ∠3 and ∠5

5.  75°

Step-by-step explanation:

4. Same-side interior angles.

If you look at the figure, the INTERIOR angles are those between the two parallel lines (JL and MP), these are angles #3, #4, #5 and #6. The other angles are exterior angles.

The question asks for same-side... meaning both on the left of NK or on the right side of it.  So, the two sets that match this are: 3 with 5 and 4 with 6.

The last option gives you ∠3 and ∠5, so that's your answer.

That makes sense since angles 1 and 2, present in all other choices, are exterior angles.

5. If ∠4 = 75 degrees, what's the value of  ∠8?

Since JL and MP are parallel lines crossed by another line (NK), we know that  ∠4 and ∠8 will have the same measurement.  Those two angles are located on the same position compared to each other and one of the parallel line.

So, since  ∠3 = 75°,  ∠8 also has to be 75°, same for their opposing angles 2 and 5.  While the other angles are complements... so they're 105 degrees angles.

The triangles in the image are similar.
Solve for x.
A) 7
B) 6
C) 10
D) 5

Answers

ANSWER

A) 7

EXPLANATION

The given triangles are similar

Hence the corresponding sides are in the same proportion.

[tex] \frac{3x + 4}{30} = \frac{30}{36} [/tex]

Simplify the right hand side:

[tex]\frac{3x + 4}{30} = \frac{5}{6}[/tex]

Cross multiply;

6(3x+4)=5×30

Expand

18x+24=180

18x=150-24

18x=126

[tex]x = \frac{126}{18} = 7[/tex]

Plz help!!

The set of all points in a plane that are equidistant from a given point is called a ______. The given point is called ________.

Answers

Answer:

Circle and Center

Step-by-step explanation:

Final answer:

In geometry, the set of points equidistant from a given point in a plane is called a circle. The given point from which all points on the circle are equidistant is known as the center.

Explanation:

The definition you're looking for pertains to the geometric concept of a circle. The set of all points in a plane that are equidistant from a particular point is called a circle. Meanwhile, the given point that is equidistant from all other points of the circle is called the center of the circle. So, in a two-dimensional plane, this center point and the constant distance (also known as the radius) from it to any point on the circle define a circle.

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How many possible 7 digit phone numbers can be created from the digits 0 through 9 if numbers cannot be repeated and the first number cannot equal 0?

A.181,440

B.544,320

C.604,800

D.10,000,000


Please select the best answer from the choices provided

A
B
C
D

Answers

The correct answer is C. 604,800.

To calculate this, we can use the formula for permutations:

P(n, k) = n! / (n-k)!

In this case, we have 9 digits (0-9), and we want to create a 7-digit phone number. Since the first digit cannot be 0, we have 9 choices for the first digit, and 9 remaining choices for each subsequent digit (since numbers cannot be repeated).

So, the total number of possible phone numbers is:

P(9, 7) = 9! / (9-7)! = 9 × 8 × 7 × 6 × 5 × 4 × 3 = 604,800

Therefore, the correct answer is C. 604,800.

A pet store sells puppies and kittens in the ratio 5 : 4.

If their sales of puppies and kittens combined came to 36, how many puppies did they sell?

Answers

I found it by random. You times the ratio by 4 to get 36 puppies and kittens combined.

If the puppies was 5 then 5 x 4 = 20 puppies in their sales.

If the puppies was 4 then 4 x 4 = 16 puppies in their sales.

I couldn't tell if the ratio was in the according order of puppies and then kittens or if that was just saying what the ratio was about.

Let us consider the ratio to be x

So, as per the question's statement, we can write it as;

 [tex]5x+4x=36[/tex]

⇒[tex]9x=36[/tex]

We will divide 9 on both the sides, we get;

⇒[tex]x=\frac{36}{9}=4[/tex]

So, for getting the number of puppy sold we have to multiply it with 5, we get;

[tex]5x=5*4=20[/tex]

They have sold 20 puppies.

Hence, the answer is [tex]20[/tex] puppies.

How do you calculate a ratio?

Divide data A by data B to find your ratio. In the example above, 5/10 = 0.5. Multiply by 100 if you want a percentage. If you want your ratio as a percentage, multiply the answer by 100

How to simplify a ratio?

Ratios can be fully simplified just like fractions. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided any more

.Learn more about ratios, refer to:

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Which of the binomials below is a factor of this trinomial?
4x2 + 21x + 5

Answers

Answer:

B.  4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

Answer:

4x+1

Step-by-step explanation:

just toook the test

A normal distribution has mean = 56.3 cm, and
84% of the data fall above 50.2 cm. Find the standard
deviation.​

Answers

Answer:99.7 percent

Step-by-step explanation:

For a data set with a symmetric distribution , approximately 68.3 percent of the values will fall within one standard deviation from the mean, approximately 95.4 percent will fall within 2 standard deviations from the mean, and approximately 99.7 percent will fall within 3 standard deviations from the mean.

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