You throw two darts at a dartboard.
Let event A = The first dart hits the center.
Let event B = The second dart hits the center
What does P(BA) represent?
O
A. The probability that either the first dart or the second dart hits the
center
O
B. The probability that the second dart hits the center given that the
first dart hits the center
C. The probability that the second dart doesn't hit the center
D. The probability that the first dart hits the center given that the
second dart hits the center

Answers

Answer 1

Answer:

B. The probability that the second dart hits the center given that the

first dart hits the center

Step-by-step explanation:

P(BA) is also called the "Conditional Probability" of B given A.

Answer 2

B. The probability that the second dart hits the center given that the first dart hits the center

The following information should be considered;

Here we assume event A be the  first dart hits the center.And, event B be the second dart hits the center.Now P(BA) should represent that the second dart should hit the center.Also, P(BA) is known as the "Conditional Probability" of B given A.

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Related Questions

HELP ME I ONLY HAVE 38 MINUTES LEFT I NEED TO GET THIS QUESTION DONE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A NUMBER OF Y Increased Increased BY 4 AND ITS AT LEAST IS 25

Answers

Answer:

y + 4 ≥ 25

if y is increased by 4 and is at least 25

State the quadratic formula

Answers

Answer:

Step-by-step explanation:

What would be the area?​

Answers

Total area is 102.3 yd²

Step-by-step explanation:

Step 1:

Total area = area of the parallelogram + area of the right triangle

Step 2:

Calculate the area of the parallelogram.

Base = 11 yd, Height = 6.2 yd

⇒ Area of the parallelogram = Base × Height = 11 × 6.2 = 68.2 yd²

Step 3:

Calculate the area of the right triangle.

Height = 6.2 yd, Base = 11 yd (Since opposite sides of a parallelogram are equal)

⇒ Area of the triangle = 1/2 × base × height = 1/2 × 11 × 6.2 = 34.1 yd²

Step 4:

Calculate the total area.

⇒ Total area = 68.2 + 34.1 = 102.3 yd²

melinda used 8 cups of sugar when baking cookies for valentines day. Each bath of cookies used 2/9 cup of sugar. Approximately how many batches of cookies did melinda make for valentines day?

Answers

Answer:

36 batches

Step-by-step explanation:

we know that

Each bath of cookies used 2/9 cup of sugar

so

using proportion

Find out how many batches of cookies Melinda makes for 8 cups of sugar

[tex]\frac{1}{(2/9)}\ \frac{bath}{cups}=\frac{x}{8}\ \frac{bath}{cups}\\\\x=8/(2/9)\\\\x=36\ batches[/tex]

Will make brainliest if answer correctly

Answers

Answer:

D

Step-by-step explanation:

When Y is a function of X, the graph is a v shape.

I do not deed the answers for 11, or 12 just 13
13.
A
B
C
D
E
F
G

Answers

a) ASA congruency

b)SAS congruency

c)SSS congruency

d) Not congruent

Step-by-step explanation:

Step 1:

a)

Angle PRQ = Angle RQS

Angle PRQ = Angle QRS (since PQ is parallel to RS , these form corresponding angles and hence are equal.

QR is the common Side

Hence 2 angles are same and the side which is included are same.Hence the 2 given triangles are congruent.

Step 2 :

b)

Angle IGH = Angle EDF

Side IG = DF and Side GH = DE

Here 2 of the sides of the triangle are same and the Angle which is included are same.

Hence the given triangles are equal

Step 3:

c)

In the given triangles the three sides re equal. Hence as per the side Side Side postulate the triangles are equal.

Step 4:

d) 2 angles are equal but the equal Side is not included and hence the two triangles are not congruent

y = 5x + 15
y = -5x - 15

Answers

Answer:

5x + 15 = -5x - 15

10x = -30

x = -3

y = 5(-3) + 15 = -15 + 15 = 0

(-3,0)

Step-by-step explanation:

Determine if the set is the empty set?
{ | < 10 and > 14}

Answers

Answer:

{x| x < 10 and x > 14} is an empty set.

there cannot be any intersection between the two ranges that is , x< 10 and x>14.

Step-by-step explanation:

x < 10 and x > 14 will lead to an empty set.

there cannot be any intersection between the two ranges that is , x< 10 and x>14.

Final answer:

The set with condition { | < 10 and > 14} is the empty set, as no elements can satisfy being both less than 10 and greater than 14 simultaneously.

Explanation:

The set being asked about is defined as { | < 10 and > 14}.

To determine if this set is the empty set, interpret the conditions placed upon the members of the set.

The description says that an element must be both less than 10 and greater than 14 at the same time, which is an impossible condition. Since no number can satisfy both conditions simultaneously, no elements can exist within this set, making it the empty set, often denoted by Ø.

Which function is a shrink of the exponential growth function shown on the graph?

a. f(x) = 2(3)x
b. f(x) = One-half(3)x
c. f(x) = 2(one-third) Superscript x
d. f(x) = One-half (one-third) Superscript x

Answers

Answer:

Option B

Step-by-step explanation:

The function in the graph is an exponential growth function.

Therefore its equation is [tex]g(x)=3^x[/tex]

A transformation that shrinks this graph is of the form: [tex]f(x)=k*3^x[/tex] where [tex]0\:<\:k\:<\:1[/tex]

From the given options, we must have [tex]k=\frac{1}{2}[/tex]

This implies that:

[tex]f(x)=\frac{1}{2} (3)^x[/tex]

Answer:

B

Step-by-step explanation:

Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out

Answers

The volunteers gave 1368 fliers in total.

Step-by-step explanation:

Given,

Fliers given by volunteers in first neighborhood = [tex]\frac{21}{38}[/tex]

Remaining fliers = 612

Fraction of remaining fliers = [tex]1-\frac{21}{38}=\frac{38-21}{38}[/tex]

Fraction of remaining fliers = [tex]\frac{17}{38}[/tex]

Let,

x be the total fliers given by volunteers.

[tex]\frac{17}{38}\ of\ x=612[/tex]

[tex]\frac{17}{38}x=612[/tex]

Multiplying both sides by [tex]\frac{38}{17}[/tex]

[tex]\frac{38}{17}*\frac{17}{38}x=612*\frac{38}{17}\\\\x=\frac{23256}{17}\\\\x=1368[/tex]

The volunteers gave 1368 fliers in total.

Keywords: fraction, division

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the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the soup after 25 minutes

Answers

Final answer:

To find the new temperature of the soup after cooling for 25 minutes, multiply the rate of decrease, 2.3 F/min, by 25 minutes to find the total decrease in temperature, which is 57.5 F. Then subtract this from the initial temperature of 192.7 F to get the final temperature of 135.2 F.

Explanation:

The question is about calculating the new temperature of chicken soup after it cools for a certain period. The initial temperature of the soup is 192.7 F, and it's stated that the soup temperature decreases by 2.3 degrees per minute. Since it's asking for the temperature after 25 minutes, we need to multiply the rate of cooling by the number of minutes.

To calculate the new temperature:
Decrease in temperature = 2.3 F/min × 25 min = 57.5 F

The new temperature would then be:
Initial temperature - Decrease in temperature = 192.7 F - 57.5 F = 135.2 F.

Problem Solving Strategies for the Effects of Heat Transfer

Although the question does not require complex problem-solving strategies involving specific heat capacity or mass of the substance, it does simulate a simplified version of heat transfer where we only consider the overall change in temperature over time.

I need help please and thank you

Answers

Answer:

∠A = 45°

Step-by-step explanation:

The sum of angles in a triangle = 180°.

That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.

Given ∠B = 90° and ∠C = 45°.

⇒ ∠A + 90° + 45° = 180°

⇒ ∠A = 180 - 90 - 45

∠A = 45° is the required answer.

Help me plz on this attachment. Ill give Brainly Award comments thanks and high ratings! 2 questions.

Answers

Answer:

C. and A.

Step-by-step explanation:

4. 5(x + 3) - 2x

5x + 15 - 2x

3x + 15

5. -6x + 2.5(x - 1) - 5x

-6x + 2.5x - 2.5 - 5x

-8.5x - 2.5

Simplify this please

Answers

let's firstly convert the mixed fractions to improper fractions and then multiply.

[tex]\bf \stackrel{mixed}{5\frac{3}{7}}\implies \cfrac{5\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{38}{7}}~\hfill \stackrel{mixed}{2\frac{2}{7}}\implies \cfrac{2\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{16}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{38}{7}\cdot \cfrac{16}{7}\implies \cfrac{(38)(16)}{(7)(7)}\implies \cfrac{604}{49}\implies 12\frac{20}{49}[/tex]

Branliest for who explains

Answers

Answer:

The cross section would be a square.

Step-by-step explanation:

The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section would be perpendicular to the rectangles, making the cross section a square. The cross section would be parallel to the end squares.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the same, not including tax?​

Answers

Answer:

$8.60

Step-by-step explanation:

Answer:

$8.60

Step-by-step explanation:

256 to the nearest 100

Answers

Answer:

300.

Step-by-step explanation:

256 is closer to 300 than it is to 200 so it rounds to 300.

Answer:300

Step-by-step explanation:

Wayne's savings to Stef's savings were in the ratio 5:6

After spending $28 each the ratio became 1:4

I need to find wayne's savings BEFORE he spent 28 and Stef's savings AFTER she spent 28

HELP PLEASE TY

Answers

Answer:

a) $30

b) $8

Step-by-step explanation:

Wayne's savings to Stef's savings were in the ratio 5:6.

Let, Wayne's saving is 5x and Stef's saving is 6x.

Now, given that after spending $28 each the ratio became 1:4.

So, we can write the equation as

[tex]\frac{5x - 28}{6x - 28} = \frac{1}{4}[/tex]

⇒ 20x - 112 = 6x - 28

⇒ 14x = 84

x = 6

a) Therefore, Wayne's savings before he spends $28 is $(5 × 6) = $30

b) And, Stef's savings after she spends $28 will be $(6x - 28) = $(6 × 6 - 28) = $8 (Answer)

BRIA is a rectangle. AN=5. NR=x-3. please solve for x, NR, and BI

Answers

Answer:

x=8

NR=5 units

BI=10 units

Step-by-step explanation:

In  a rectangle BRIA

AN=5 units

NR=x-3

We have to solve for x , NR and BI.

We know that

Diagonals of rectangle bisect to each other.

BI and AR are the diagonals of rectangle BRIA and intersect at point N.

AN=NR

[tex]5=x-3[/tex]

[tex]x=5+3=8[/tex]

[tex]x=8[/tex]

Substitute the value of x

NR=8-3=5

By property of rectangle

BI=AR=AN+NR=5+5=10 unit

BI=10 units

If the equipment is 30% off and the sale price is $315 what percent of the original price are you paying?

Answers

Answer:

Step-by-step explanation:

94 dollars

Answer:

The discount would be $94.50 but the final price would be $220.25.

Hope this helps!


X Y
3 −2
6 −4
9 −6
12 −8

Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of y/x


A) yes; − [tex]\frac{2}{3}[/tex]
B) yes; − [tex]\frac{5}{3}[/tex]
C) yes; − [tex]\frac{2}{5}[/tex]
D) The table does not represent a proportional relationship.

Answers

The required "option A) yes; [tex]\dfrac{-2}{3}[/tex]" is correct.

Step-by-step explanation:

The given table:

X       Y

3    − 2

6    − 4

9   − 6

12  − 8

To find, the constant ratio, [tex]\dfrac{y}{x}[/tex] = ?

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-2}{3}[/tex],

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-4}{6}[/tex] = [tex]\dfrac{-2}{3}[/tex],

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex] and

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex]

Thus, the required option A) yes; [tex]\dfrac{-2}{3}[/tex] is correct.

The area of a circle is 28.26 square kilometers. What is the circles diameter

Answers

Answer:

6km

Step-by-step explanation:

Area of circle = πr²

Where r = radius,  π= 3.14, A = 28.26km²

A = 3.14 x r²

3.14 r2 = 28.26

Divide both sides by 3.14

r²= 28.26/3.14

r² = 9

Square root both sides

r= √9

r= 3

Radius = 3km

Note : Diameter = 2 x radius

Diameter = 3 x 2

Diameter = 6km

I hope this was helpful, Please mark as brainliest.

The population of a town with an initial population
of 75,000 grows at a rate of 3.7% per year. What
will the population be in 5 years? In 10 years?

Answers

Answer:

5 years = 89,940

10 years = 107, 856

Step-by-step explanation:

75000 * 1.037 ^ 5 for the 5 years one

Then do the answer (89940) and times by 1.037 ^ 5. For 10 years

You do it to the power of 5 because you are adding on another 5 years

Sarah has seven apples. Jace has three times as many apples as Sarah. How many apples does Jace have?

Answers

Answer:

21

Step-by-step explanation:

7x3=21

Answer:21

Step-by-step explanation:

You can get it srry if that was mean

Find the number of shaded triangles for each
figure.
First triangle:
Second triangle
Third triangle
Fourth triangle:

Answers

Answer:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

A triangle exists a three-sided polygon with three vertices and three edges. The number of triangles in the given figure exists 1, 3, 9, and 27.

What is a triangle?

A triangle exists a three-sided polygon with three vertices and three edges. It exists one of the major fundamental geometric forms.

The number of shaded triangles in each of the triangles exists shown below, thus, the number of triangles in each triangle can are:

1st triangle = 1

2nd triangle = 3

3rd triangle = 9

4th triangle = 27

Therefore, the number of triangles in the given figure exists 1, 3, 9, and 27.

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Compute 5e2 - 4g + 7 where e = 4 and g = 6 ?

Answers

The value of expression is 63 when e = 4 and g = 6

Solution:

Given expression is:

[tex]5e^2-4g+7[/tex]

We have to solve the expression

Given that e = 4 and g = 6

Substitute e = 4 and g = 6 in given expression

[tex]\rightarrow 5(4)^2 -4(6) + 7\\\\Simplify\ the\ above\ equation\\\\\rightarrow 5(16) -24 + 7\\\\\rightarrow 80-24+7\\\\Simplify\\\\\rightarrow 56+7=63[/tex]

Thus value of expression is 63

McKenzie sells textbooks. She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. How much would she earn in commission if her sales in one month were $14,500? Enter your answer as a dollar amount rounded to the nearest cent. Do not type a dollar sign symbol in the box.

Answers

The commission would be $2095.

Step-by-step explanation:

Given,

Commission on first $1000 = 7%

Amount of commission = 0.07*1000 = $70

Worth of sold items = $14,500

We will subtract $1000 from it.

Balance = 14500-1000 = $13500

Commission on balance = 15% = 0.15

Amount of commission = 0.15*13500

Amount of commission = $2025

Total commission = 70+2025 = $2095

The commission would be $2095.

Keywords: percentage, subtraction

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Final answer:

McKenzie would earn $2,095 in commission if her sales for the month were $14,500.

Explanation:

To calculate McKenzie's commission, we need to determine the amount of sales that fall under the 7% rate and the amount that falls under the 15% rate. First, we calculate the commission on the first $1,000 in sales: 7% of $1,000 = $70. Next, we calculate the commission on the remaining sales: $14,500 - $1,000 = $13,500. 15% of $13,500 = $2,025.

Finally, we add the two commissions together to get the total commission: $70 + $2,025 = $2,095. So McKenzie would earn $2,095 in commission if her sales for the month were $14,500.

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wich function represents exponential growth with a growth with a 5% rate of change?

a- f(x) = 4(5)n
b- f(x) = 4(1.05)n
c- f(x)= 4(0.95)n
d- f(x)= 4(0.05)n​

Answers

Answer:the answer is B

Step-by-step explanation:

The function that represents the exponential growth is

f(x) = 4 x [tex]1.05^n[/tex].

Option B is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

An exponential growth function.

Rate of change = 5%

This means,

There is a growth per year of 5%.

The function can be represented as,

f(x) = a [tex](1 +0.05)^n[/tex]

f(x) = a x [tex]1.05^n[/tex]

Where 100% = 1 and 5% = 0.05

Let a = 4

f(x) = 4 x [tex]1.05^n[/tex]

Thus,

The exponential growth function is

f(x) = 4 x [tex]1.05^n[/tex]

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The sum of two numbers is 92. The difference of two numbers is 24. What are the numbers?

Answers

Answer:

a = 58

b = 34

Step-by-step explanation:

a + b = 92

a - b = 24

add

a + b + a - b = 92 + 24

2a = 116

a = 116 : 2

a = 58

b = 92 - 58

b = 34

Answer:

Step-by-step explanation:

Let the numbers be x and y

x + y = 92..........(1)

x - y = 24..........(2)

Adding (1) and (2)

2x = 116

x = 116/2

x = 58

From (1)... x + y = 92

58 + y = 92

y = 92 - 58

y = 34

There are 52 weeks in a year. Ben has lived in london for two fifths of year. How many weeks has ben lived in london?

Answers

Answer:

[tex]\frac{104}{5}[/tex] weeks or [tex]20\frac{4}{5}[/tex] weeks

Step-by-step explanation:

To do this we can set up a proportion

[tex]\frac{52}{1} *\frac{2}{5}[/tex]

This will tell us how many weeks are in 2/5 of a year

Let's evaluate this

[tex]\frac{104}{5}[/tex]

We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below

[tex]20\frac{4}{5}[/tex] weeks

[tex]\text{We're trying to find how many weeks Ben has lived in London}\\\\\text{We know that there are 52 weeks in a year}\\\\\text{We also know that he's been in London for 2/5 of a year, or 40\%}\\\\\text{To find your answer, you could multiply 52 by 0.40}\\\\52*0.40= 20.8\\\\\boxed{\text{Ben has been in London for 20.8 weeks}}[/tex]

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