PLS SIMPLIFY b3·b^−5·b^11
A) b^9
B) b^15
C) b^19
D) b^-165

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80[/tex]

Answer:

2/5

Step-by-step explanation:

There are 2 white and 4 yellow  = 6

P(yellow) = yellow /total = 4/6 = 2/3

We keep the ball

Now there are 2 white and 3 yellow  = 5

P(yellow) = yellow /total = 3/5

P ( yellow, keep, yellow) = 2/3 * 3/5 = 2/5

We are given 4 yellow balls and 2 white balls. In total, this adds up to 6.

Divide the number of yellow balls to the total number of balls:

4/6 -> 2/3

We are also given 3 yellow and 2 white.

Divide the number of yellow balls to the total number of balls:

3/5

Divide both fractions together:

3/5 * 2/3 = 6/15 = 2/5

Best of Luck!

9514 1404 393

Answer:

  a) $554

  b) y = 138.50x

  c) see attached

Step-by-step explanation:

a) The cost is the product of the number of hours and the cost per hour.

  cost = (4 h)($138.50 /h) = $554.00 . . . . for a 4-hour course

__

b) As above, the cost (y) is the product of the number of hours (x) and the cost per hour ($138.50).

  y = 138.50x . . . . tuition for x credit hours.

__

c) As in part (b), the tuition is hours times 138.50. That means hours are tuition divided by 138.50.

Answer:

37

Step-by-step explanation:

tan(theta)=perpendicular/base

tan(theta)=3/4

theta=arctan(3/4)=37

Answer:

37°

Step-by-step explanation:

for this question you have to use the tan ratio since the opposite of that angle has been given as 3 and the adjacent has also been given which is 4..I will represent the unknown angle using x so,

tan x=opposite/adjacent

tanx=3/4

tanx=0.75

x=tan inverse of 0.75

x=36.9 or 37°

I hope this helps

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Refer to the diagram below for letter names of points.

Using the theorem provided on the second image, we can conclude that [tex]m\angle AOC=2*m\angle ABC=2*100\textdegree = 200\textdegree[/tex]. Keep in mind that this is the reflex [tex]\angle AOC[/tex].

Because [tex]O \in DC[/tex], we know that [tex]DC[/tex] is a diameter by definition, which makes [tex]m\angle DOC = 180\textdegree[/tex].

Using the Angle Addition Postulate, we can write the following equation:

[tex]m\angle AOD+m\angle DOC=m\angle AOC[/tex]

Substituting the measures of each angle into the equation gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

Solving the equation for [tex]x[/tex] gives us:

[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]

[tex]x\textdegree + 180\textdegree - 180\textdegree = 200\textdegree - 180\textdegree[/tex] (Subtract [tex]180\textdegree[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x\textdegree = 20\textdegree \rightarrow \bf x=20[/tex] (Simplify)

Remember that [tex]x=20[/tex], not [tex]20\textdegree[/tex] because the degree symbol was already given in the original expression. Hope this helps!

Answer:

1/36

Step-by-step explanation:

it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}

you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...

The probability of rolling a sum of 2 with these dice is 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Pair of dice have= {1,2,2,3,3,4}

Now,

The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.

However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.

This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.

Therefore, the probability will be 1/36.

Learn more about probability here;

https://brainly.com/question/9326835

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Answer:

A

Step-by-step explanation:

Answer:

B

SOH-CAH-TOA

Sin= opp/hyp

Step-by-step explanation:

Answer:

The terms are - 1, 7 and 15.

Step-by-step explanation:

Let the terms be a-d, a, a+d.

ATQ, a-d+a+a+d=21, a=7 and a+d-(a-d+a)=9. 2d-a=9, d=8. The terms are - 1, 7 and 15.

The first three terms will be :   -1, 7, 15

We have sum of first three terms of an arithmetic series is 21. It is given that if the sum of the first two terms is subtracted from the third term then it would be 9.

We have to find the three terms of the series.

An arithmetic progression or sequence with common difference [tex]d[/tex] is given as -

a, a + d, a + 2d, a + 3d .....

According to the question -

a + (a + d) + (a + 2d) = 21

3a + 3d = 21

3(a + d)=21

a + d = 7                             (Eqn. 1)

(a + 2d) - (a + a + d) = 9

a + 2d - a - a - d = 9

d - a = 9

a = d - 9

Substituting the value of 'a' in Eqn. 1, we get -

d - 9 + d = 7

2d - 9 = 7

2d = 16

d = 8

Therefore -

a = 8 - 9

a = -1

The three terms are -

a = -1

a + d = -1 + 8 = 7

a + 2d = -1 + 2 x 8 = 15

Hence, the first three terms will be - -1, 7, 15

To solve more questions on Arithmetic Sequences and finding the terms, visit the link below -

https://brainly.com/question/20384906

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Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form .

Factor a trinomial of the form .

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely

Answer:

See explanation

Step-by-step explanation:

We can factor polynomials by breaking down the expression.

For instance, let's say we have the polynomial [tex]x^2 - 9x + 14[/tex].

We can start solving this because this polynomial is in standard form, meaning that the highest exponents go first. ([tex]ax^2 + bx + c[/tex].)

To factor a polynomial, we are looking for two numbers that:

A. When multiplied, get us [tex]c[/tex] (in this case, 14)

B. When added, get us [tex]b[/tex] (in this case, -9).

If we play around with numbers, looking at the factors of 14, we see that the numbers 7 and 2 might be useful here. They add up to 9 and multiply to be 14.

However, these numbers ADD to be -9, meaning that they both need to be negative.

[tex]-7 + -2 = -9\\-7\cdot-2=14[/tex]

Now that we know our numbers, -7 and -2, we can make these our factors (which are represented by [tex](x + y)[/tex], y being our factor.

So our factors turn out to be [tex](x-7)[/tex] and [tex](x-2)[/tex].

Let me know if you need anything explained more, and I hope this helped!

Answer: 3

Step-by-step explanation:

When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.

Answer:

9 in.

Step-by-step explanation:

Proportions:

1 in ⇔ 2 ft

R in ⇔ 18

R = 18*1/2

R = 9 in

Answer:

66k+9

Step-by-step explanation:

Let's simplify step-by-step.

5(10k+1)+2(2+8k)

Distribute:

=(5)(10k)+(5)(1)+(2)(2)+(2)(8k)

=50k+5+4+16k

Combine Like Terms:

=50k+5+4+16k

=(50k+16k)+(5+4)

=66k+9

Answer:

=66k+9

HOPE THIS HELPS!!!!!! :)

<3333333333

Answer:

Hey there!

We can write a equations here:

3x+y=180

Also, since all of the angles have 3x on the outside, then y must be constant.

3y=180

y=60

Thus, for x, we have 3x+60=180, 3x=120, x=40.

2x+6y

2(40)+6(60)

80+360

440.

Let me know if this helps :)

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

Answer:

P = 0,7947       or    79,47%

Step-by-step explanation:

We have 20 balls, the total possible outcomes drawn two balls simultaneously is:

C =  m! /n! *( m - n )!

C = 20!/2! *( 20 - 2)!

C= 20*19*18!/ 2* 18!

C  =  20*19/2

C = 190

Now the number of successful outcomes x ( those where balls differ by more than 2 is)

x = total numbers of outcomes  -  20  ( outcomes differing in 1 ) - 19 (outcomes differing in 2 )

x =  190 - 39

x = 151

Then the probability  of drawing tw balls with numbers differing n mr than two is

P = successful outcomes / total outcomes

P = 151/190

P = 0,7947       or    79,47%

Answer:

option 1

Step-by-step explanation:

Here (2,0)

(2-4) square -4 is = 0

Answer:

y = (x - 4)^2 - 4

Step-by-step explanation:

Here are the points work:

(4,-4) Works:

y = (4 - 4)^2 - 4

y = 0 - 4

y = -4

(6,0) Works:

y = (6 - 4)^2 - 4

y = 4 - 4

y = 0

(2,0) Works:

y = (2 - 4)^2 - 4

y = 4 - 4

y = 0

And (0,12) Works:

y = (0 - 4)^2 - 4

y = 16 - 4

y = 12

Hope this helps, and have a good day!

(brainliest would be appreciated?)

Answer:

  C)  y ≥ 3

Step-by-step explanation:

The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.

  y ≥ 3 . . . . matches C

Answer:

10 centimeters

Step-by-step explanation:

formula for volume of a cylinder = πr² · h

1. Set up the equation

(3.14)(r²)(14) = 4,396

2. Simplify

(43.96)(r²) = 4,396

3. Solve

r² = 100

√r = √100

r = 10

Answer:

Approximately 439.6 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cone is the following:

[tex]A=\pi r^2+\pi r l[/tex]

Where, r is the radius and l is the slant height.

The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:

[tex]A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6[/tex]

Answer:

292.77

Step-by-step explanation:

πr(r+[tex]\sqrt{h2+r2}[/tex])

13 x 2 = 26

7 x 2 = 14

26 + 14 = 40

[tex]\sqrt{40}[/tex] = 6.32

7 + 6.32 = 13.32

3.14 x 7 = 21.98

21.98 x 13.32 =

292.77

Answer:

I think it is segment...........

Answer:

b. 8

Step-by-step explanation:

Simplify the left side by dividing the top and bottom by 5

35/5 = 7

40 /5 = 8

7/8

Hey there!

35/40 = 7/x

Cross Multiply the fraction

35(x) = (7)(40)

→ 35x = 280

DIVIDE 35 to BOTH SIDES

35x/35 = 280/35

CANCEL out: 35/35 because that gives you 1

KEEP: 280/35 because that helps solve for the x-value

→ x = 280/35

x = 8

Therefore, your answer is most likely: 8 (Option B)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10 - 4y

Step-by-step explanation:

Combine like terms.  12, 21 and -23 add up to 10, and -5y + y is -4y.

Then, together, we have 10 - 4y (answer)

Answer:

[tex]\large\boxed{10 - 4y}[/tex]

Step-by-step explanation:

12 - 5y + 21 + y - 23

Combine like terms (add -5y to + y)

12 + 21 - 4y - 23

Add 12 + 21

33 - 4y - 23

Subtract 23 from 33

[tex]\large\boxed{10 - 4y}[/tex]

This is the simplest form of the expression.

Hope this helps :)

Answer:

To transform figure A into figure B, you need to reflect it over the y-axis and translate one unit to the left. A sequence of transformations that will accomplish this is (x, y) + (-x, y) and (x, y) + (x - 1,y).

The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.

Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.

In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.

See more about figure rotation at brainly.com/question/11392539

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Step-by-step explanation:

why did u add the 5 in the question?.

Answer:

AC=EG AND BC = FG I THINK IT IS ONLY THIS

Answer:

BC=FG

Step-by-step explanation:

Because BC and FG is congruent side of angle A

hope you understand

Answer:

what do you need to find? Area? perimeter?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question above means that how many numbers can divide 2003 with a remainder of 23

That means all the numbers are less than 2003

The number of numbers that have this property are only

Hope this helps you

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi

Answer:

100 minutes

Step-by-step explanation:

It takes each of the 3 cats about 1 minute to catch one mouse. If the same goes for the 100 cats, it will take them 100 minutes to catch 100 mice.

Hope that helps.

Answer:

3 min  

Step-by-step explanation:

These are all independent actions.

If you put 1 cat in a room with 1 mouse, it will take 3 min to catch the mouse.

If you put 2 cats in a room with 2 mice, they will act independently and it will take 3 min for each one to catch a mouse.

If you put 3 cats in a room with 3 mice, they will act independently and it will take 3 min for each one to catch a mouse.

If you put 100 cats in a room with 100 mice, they will act independently and it will take 3 min for each one to catch a mouse.

Each cat will finish at the same time — 3 min.