If P(A) =2/3
P(B) = 4/5, and P(AUB) =11/15
what is P(AB)?

Answer: 5

Step-by-step explanation: volume of hole = 100x50x4=20,000 ft

soil weighs : 20000x90=180,000 pounds

180,000 divided by 40,000 = 4.5 ≈ 5

So the least number of truckloads is 5

Answer:

Step-by-step explanation:

angle CDA = angle ABC (opposite angles of a parallelogram are equal)

56 degree = angle ABC

therefore angle ABC is 56 degree.

Answer:

=c+2

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

Add the numbers put them over 7

The probability that the sum of the numbers on the balls drawn is 7 from total 5 balls without replacement =  [tex]\frac{1}{5}[/tex]

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. Probability measures the chance of an event occurred and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

According to the question

Five balls, numbered 1, 2, 3, 4, 5, are placed in a bin.

Two balls are drawn at random without replacement.

i.e

Total possibility for drawn balls without replacement = [tex]P_{r} ^{n}[/tex]

where n = 5

r = 2

[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

[tex]P_{2} ^{5}[/tex] = [tex]\frac{5!}{(5-2)!}[/tex]  

[tex]P_{2} ^{5}[/tex] = [tex]\frac{5*4*3!}{(3)!}[/tex]

[tex]P_{2} ^{5}[/tex] = 20

Now,  the probability that the sum of the numbers on the balls drawn is 7 is

(2,5) (5,2) (3,4) (4,3) = 4 possibilities in total

Therefore,

Probability = [tex]\frac{Number of favorable outcomes}{Total outcomes}[/tex]

                   = [tex]\frac{4}{20}[/tex]

                   = [tex]\frac{1}{5}[/tex]

Hence, the probability that the sum of the numbers on the balls drawn is 7 from total 5 balls without replacement =  [tex]\frac{1}{5}[/tex]

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Answer:

the answer is 6ײ+14x-12

Answer:

not too sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]{{correct me if i am wrong}}}[/tex]

Answer:

no they don't

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

8+12f

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

8+12f

Step-by-step explanation:

um you just multply 4 and 6 by 2

Answer:

Alrighty, let me help.

Step-by-step explanation:

2 2/9 - 1 1/3 = x

X = 8/9

Answer = 8/9 or the 3rd option.

Answer:

8/9

Step-by-step explanation:

2 2/9 - 1  1/3

===============================================

Work Shown:

x = sum of all 6 lengths

x/6 = mean of the 6 lengths

x/6 = 44.2

x = 6*44.2

x = 265.2

All 6 lengths add up to 265.2 cm.

---------

y = sum of the first 5 lengths

y/5 = mean of those first 5 lengths

y/5 = 46

y = 5*46

y = 230

The first five lengths add up to 230 cm.

---------

z = length of the 6th rod, length is in cm

y+z = (length of first 5 rods)+(length of 6th rod)

y+z = x

230+z = 265.2

z = 265.2-230

z = 35.2

The sixth rod is 35.2 cm

Answer:

Third choice from top to bottom.

Step-by-step explanation:

The total amount of students would be exactly - 220 students. So that means reading would be exactly 20% of the students, as of 40/220 = 0.2 = 20%. That means automaticially the third choice would be correct, but let's do more calculations to make sure- 55/220 = 25%, 66/220 = 30%. That means that our answer is in fact correct.

Answer:

s = 12t/33

Step-by-step explanation:

multiply through by 4 In order to remove the denominator from the equation

12t - s = 32s

making s the subject

32s + s = 12t

33s = 12t

s = 12t/33

Answer:

640g

Step-by-step explanation:

1000m=1km so 125m times x= 2km x is 16 so we multiply 16 by 40 to get 640 g

The mass of 2 km long yarn ball is 640.

A measure of how much matter is in an object. This gold bar is quite small but has a mass of 1 kilogram (about 2.2 pounds), so it contains a lot of matter.

Given

40 g ball of yarn is 125 m long

To find mass for 2 km = 2000 m long yarn

[tex]\frac{40}{125} \ 2000[/tex]   =   [tex]\frac{80000}{125}[/tex]    =     640g

Hence, The mass of 2 km long yarn ball is 640.

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Answer:

I don't know

Step-by-step explanation:

the answer is 0.2

The average of x and y is 03

The average of the three numbers is given as:

Average = 10

This means that:

(x + y + 24)/3 = 10

Multiply both sides by 3

x + y + 24 = 30

Subtract 24 from both sides

x + y = 6

Divide by 2

(x + y) = 3

Hence, the average of x and y is 03

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Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω｀*)

Answer: The answer is C. 6.9

Step-by-step explanation:

Answer:

Rational number

Step-by-step explanation:

Rational numbers can be written in a way where the entire number is displayed.

Irrational numbers will look a little "weird." They will have a square root or greek letter (such as π) because you cannot display the entire number. It would take forever to write out the number π (3.14159...). So we just use a symbol. That makes it an irrational number.

11/8 is the rational number not a irrational number.

The given number is 11/8.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

The decimal expansion of a given number is

11/8 =1.375

The decimal expansion is terminating decimal number

Therefore, 11/8 is the rational number not a irrational number.

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Answer:

AB = 4,60

Step-by-step explanation:

Sin50° = 6/AB

0,766044431 * 6= AB

4,596266659 = AB

AB = 4,60

Answer:

x=4

Step-by-step explanation:

1. Divide both sides of the equation by 2

x+5=9

2. Move the constant to the right -hand side and change its sign

x=9-5

3. Subtract the numbers

x=4

Answer: p= 0.644

Step-by-step explanation:

We know that, the confidence interval for population proportion is given by :-

sample proportion(p) ± Margin of error(E)

Given confidence interval :  (0.61,0.678)

i.e. p- E = 0.61   ... (i)

p+E = 0.678    ...(ii)

Adding (i) and (ii), we get

2p = 1.288

p= 0.644

From (ii),

E= 0.678-0.644

E= 34

Hence, the value of p = 0.644

Answer:10.6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

In your expression, you have ...

  a = 1

  b = 11

  c = 24

Then ac = (1)(24) = 24, and b = 11. The chart looks like the attached.

The numbers on the side have a sum equal to the bottom number (11) and a produce equal to the top number (24). These are the constants in the binomial factors, so the factored form is ...

  (x +8)(x +3) . . . . equivalent factored form

The value of ac is

✔ 24

.

The value of b is

✔ 11

.

The equivalent factored form of the polynomial is

✔ (x + 3)(x + 8)

.

Answer:

did u figure it out?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

- the rule is: (number_of_questions)*(points_per_question)=total_score.

- according to the rule above: 26*(points_per_question)=104, then

points_per_question=104/24=4.

The available options are:

(A)0.25

(B)0.78

(C)1.09

(D)2.25

(E)2.41​

Answer:

(B)0.78

Step-by-step explanation:

Given the fact that percentile rank is usually between 0 to 100. Hence, considering the available options, the 100th percentile would be converted to 1.0 when representing the percentile into decimal places.

Since it is logically and mathematically impossible to go beyond the 100th percentile, hence, the option C, D, and E are wrong.

Also, since Sharon hoped to get a score well enough compared to her peers, then the correct answer is 0.78 which can be translated to 78 percentile. Because 0.78 is a better score than 0.25 or 78 percentile is better than 25 percentile because 78 percentile means she scored better than 78 percent of all the test takers.

Hence, the right answer is in this case is 0.78

Answer:

6.8 ounces

Step-by-step explanation:

1 lb = 16 oz

3.40/8 * 16 = 6.8

Answer:

[tex]\boxed{x=5},x=-9[/tex]

Step-by-step explanation:

To rid the denominators, multiply both sides by [tex](x-3)(x+1)[/tex].

We get:

[tex]6(x+1)-12(x-3)=(x-3)(x+1)[/tex]

Simplifying, we have:

[tex]6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0[/tex]

Solving, we get:

[tex]x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9[/tex]

Therefore, the solution with the greatest value is [tex]x=\boxed{5}[/tex]