P(A | B) can be read as "the probability that B occurs given that A has
occurred."
A. True
B. False

Answer:

step 5

Step-by-step explanation:

Complete question :

A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?

Answer:

24 home sites

Step-by-step explanation:

Given :

Total size of land = 6 - acre

Size of each home site = 1/4 acre

Number of home sites obtainable from the 6-acre land :

Total size of land ÷ size of each home site ;

6 ÷ 1/4

6 * 4/1

= 24

Hence, 24 home sites are on the plot of land.

Answer:

A = 161°

Step-by-step explanation:

125° + 36° = 161°

hope this helps

Answer:

m∠A is 89°

Step-by-step explanation:

By circle theorem, two or more inscribed angles subtended by the same arc are equal

Therefore, from the diagram, we have;

Angle (5·x - 1)° and angle (4·x + 17)° subtends the same arc DC

∴ (5·x - 1)° = (4·x + 17)°

We can write the angles as follows since they are both in degrees

(5·x)° - 1° = (4·x)° + 17°

(5·x - 4·x)° = 17° + 1°

x = 18°

m∠A = (5·x - 1)°

∴ m∠A = (5 × 18 - 1)° = (90 - 1)° = 89°

m∠A = 89°.

Answer:

-8.875

Step-by-step explanation:

8 7/8 > -71/8 > -8.875

Answer: c

Step-by-step explanation:

Answer:

1/324

Step-by-step explanation:

Answer:

Total distance = 30m

Total displacement = 0m

Step-by-step explanation:

a) Distance is a scalar quantity that does not specify direction

Hence if a trail runner zig-zags 15m to the west and then 15m to the east, the total distance will be the sum of the distance travelled both to the west and east.

total distance =  distance through west + distance through east

total distance = 15m + 15m

total distance = 30m

Hence the runner's total distance is 30m

b) Displacement is a vector quantity and it specifies direction. Hence we will take into consideration the direction taken

Since East direction is positive, the displacement through east is +15m

Since West direction is negative, the displacement through west is -15m

Total displacement  = +15 - 15

Total displacement = 0m

Hence the runner's total displacement is 0m

Answer:

60

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).

Answer:

30

Step-by-step explanation:

Well 42

        -

       12

       30

Answer:

the answer is 35

Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

The required value of AB is 33 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Assume BC is the hypotenuse,

Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.

AB² + AC² = BC²

AB² + (12)² = (35)²

AB² + 144 = 1225

AB² = 1225 -144

AB² = 1081

AB = 32.8785

Rounded to two decimal places,

AB = 33 units

Therefore, the required value of AB is 33 units.

Learn more about Pythagoras's theorem here:

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Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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Answer:

i believe its ()=4−9

Step-by-step explanation:

Answer:

f=4x-9

Step-by-step explanation:

f(x) = 4x-9

f(x)= 4x-9

x         x

f=4x-9

Answer:

32%

Step-by-step explanation:

[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage =  (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

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Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:

Answer: $1440

Step-by-step explanation:

So if we have 8 dozens that is 8*12=96 teacups

boxes of 4 means 96/4= 24 boxes in total with 4 teacups in each

Since she is being paid 60$ for each of the 24 boxes she makes exactly $1440

Please don't go around not answering others questions. We are all trying to pay it forward and help each other :)

Step-by-step explanation:

[tex]\sqrt[3]{4}[/tex][tex]\\\sqrt{3}[/tex]=[tex]\sqrt[6]{432}[/tex]

[tex]4^{1/3}[/tex][tex]3^{1/2}[/tex]=[tex]432^{1/6}[/tex]

Hope that helps :)

Answer:

C

24Step-by-step explanation:

Trust me on this one.

Answer:

1666.70

Step-by-step explanation:  10,000/6=1666.70

Answer: [tex]\$16\dfrac{9}{10}[/tex]

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]

money spent on gift B

[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]

Money spent on gift C

[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]

Step-by-step explanation:

3 Area of lateral = 3 ( bh ) = 12.2 XIO +7.04X12.2 +7.04x 12.2 = 122+85.888+85.888 = 293.776

293.776 approximate to 288

Answer: 2 2/3

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

Answer:

the area is 42 square units

Step-by-step explanation:

lets break it down

12 x 1 = 12

12 x 5 = 60

60 / 2 = 30

12 + 30 = 42

Answer:

400,000

Step-by-step explanation:

Calculate the doubling time period-

Doubling time period(t)=

doubling time period(t)= 2

Calculate the new population using the doubling time formula below where t is the number of doubling periods:

Population = Initial Population * [tex]2^{t}[/tex]

Population = 100000 * [tex]2^{2}[/tex]

Population = 100000 * 4

Answer:

hi

Step-by-step explanation:

i think,

13:14=54

13k+14k=54

27k=54

k=54/27

k=2

13×2=26 and 14×2=28

to verify the correctness of the answer-26+28=56

have a nice day

hope it helps

The ratio of the divide is mathematically given as

26:28

Question Parameters:

divide 54 books between A and B in the ratio 13:14​

Generally,  ratios are mathematically given as

X=13/27*54

X=26

Y=14/27*54

Y=28

In conclusion, the ratio of the divide would be

26:28

Read more about Arithmetic

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Answer:

B 136.8 cm²

Step-by-step explanation:

Add the diameters of the three smaller circles to find the diameter of the largest circle.

D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm

area = πr²

area = 3.14 × (6.6 cm)²

area = 136.8 cm²