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3 years ago

Y = a(b), a represents

Mathematics

2 answers:

storchak [24]3 years ago

8 0

D is the right answer

IrinaK [193]3 years ago

4 0

Answer:

The equations are x=a and y=b.

The graph of x=a is a line parallel to y-axis and y=b is a line parallel to x-axis.

∴ the angle between them is 90o, i.e. they intersect.

So, the equations are consistent.

Now solving simultaneously, the solution is (a,b).

So, the point of intersection is (a,b).

Hence, option D is correct.

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Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.

timurjin [86]

Answer:

Step-by-step explanation:

Given that events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.

i.e. A1, A2, and A3 are mutually exclusive and exhaustive

E is an event such that

P(E|A1) = 0.1, P(E|A2) = 0.6, P(E|A3) = 0.8,

$P(E) = P(A_1E)+P(A_2E)+P(A_3E)\\= \Sigma P(E/A_1) P(A_1) \\= 0.1(0.3)+0.5(0.6)+0.8(0.2)\\= 0.03+0.3+0.16\\= 0.49$

$P(A_1/E) = P(A_1E)/P(E) = \frac{0.3(0.1)}{0.49} \\=0.061224$

$P(A_2/E) = P(A_2E)/P(E) = \frac{0.5)(0.6)}{0.49} \\=0.61224$

$P(A_3/E) = P(A_3E)/P(E) = \frac{0.2)(0.8)}{0.49} \\=0.3265$

4 0

4 years ago

Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of

kondaur [170]

Answer: 0.8031

Step-by-step explanation:

Binomial distribution:

For a binomial variable x,

The probability of getting success in x trials = $P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where n = Total trials .

p= Probability of getting success in each trial.

For the given situation , we take x as the number of damaged apple .

Given : The proportion of damaged apples : p=0.15

n= 10

Then, the probability that his sample will contain at least one damaged apple. :-

$P(x\geq1)=1-P(x$

Hence, the required probability = 0.8031

5 0

3 years ago

Simplify (−2a2b4)3. Select the correct answer. Question 1 options:

Bad White [126]

Step-by-step explanation:

$= {( - 2 {a}^{2} {b}^{4} )}^{3}$

$= {( - 2)}^{3} {a}^{2 \times 3} {b}^{4 \times 3}$

$= - 8 {a}^{6} {b}^{12}$

Option → D

7 0

3 years ago

Please help me with this

vlada-n [284]

Step-by-step explanation:

x³.y =(5)³.(10)

=1250

8 0

4 years ago

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the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the re

Korolek [52]

Answer:

I did what I can

Hope this helps :)

7 0

3 years ago

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