-7/3x + 2/3 = -18<br> What is the solution?

You calculated probabilities involving various blood types. Some of your answers depended on the assumption that the outcomes de

Natali5045456 [20]

Answer:

a) The events are disjoint, because a person cannot have blood type A and blood type B at the same time.

b) The events are independent, because the probability of having blood type does not depend on other persod having blood type B.

c) Yes, disjoint events are independent if and only if the probability of some of the events is zero.

Step-by-step explanation:

a) Let the events be:

A: "the person has blood type A

B: the person has blood type B

As a person can only have one blood type these events are disjoint.

b) If we examine two people, let the events be that the first is blood Type A and the second blood Type B:

The events are independent because the probability of the first person having blood type A does not influence the probability of the second person having blood type B (unless the two people are related).

c) Two events are independent if and only if:

P(A∩B)=P(A)×P(B)

Given the events A and B which are disjoint:

P(A∩B)=0

Hence, A and B could be independent events if and only if the probability of one of the events is 0.

3 0

2 years ago

A rectangle has length of 80cm and a width 50cm. And a scale factor of 3.5 what is the area in square cm of the dilated rectangl

Verdich [7]

Answer:

49,000 square cm

Step-by-step explanation:

To get the area of the dilated rectangle, we need the dilated dimensions

We simply multiply the scale factor by the dimensions

we have this as;

3.5 * 50 = 175 cm

and

3.5 * 80 = 280 cm

The area of the dilated rectangle is thus;

280 * 175 = 49,000 cm^2

8 0

3 years ago

The sum of two numbers is 5.036. one number has a 4 in the tenths place and 7 in the thousandths place. The other number has a 1

elena55 [62]

<span>Find the two numbers that has the sum of 5.036
First number has a 4 in the tenths place and 7 in the thousands
=> x.4x7
The other number has 1 in the ones place and 2 in the hundredths place
=> 1.x2x
=> x.4x7 + 1.x2x = 5.036
=> x.4x7 + 1.x2x = notice that the thousandths place is 7, add 9 to make it 16.
=> x.4x7 + 1.x26 = carry 1, then in hundredths place 2 + 1 + x, find the number to make it 3, since it’s already 3 x = 0
=> x.407 + 1.x29, in tenths place, notice that we already have 4, add 6 to make it 10, then carry 1 to ones place
=> x.407 + 1.629, Now, in ones place, we have 1 + 1 + x, find a number to make it 5. Add 3
=> 3.407 + 1.629 = 5.036</span>

7 0

3 years ago

If 4/5 – 3/10 = x + 11/2, find the value of<br>X.

ehidna [41]

Answer:

x = 85/60 or 17/12

Step-by-step explanation:

4/5 - 3/10 = x + 11/12

=> 8/10 - 3/10 = x + 11/12

=> 5/10 = x - 11/12

=> x - 11/12 = 5/10

=> x = 5/10 + 11/12

=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5

=> x = 30 / 60 + 55/60

=> x= 85/60

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Thank You!!

7 0

3 years ago

Read 2 more answers

Angle x and angle y are complementary. angle x is supplementary to a 128 angle.What are the measures of angle x and angle y?

aleksandr82 [10.1K]

Answer:

y = 38°

Step-by-step explanation:

If Angle x and angle y are complementary, then x + y = 90°

Also, if angle x is supplementary to a 128 angle, then x + 128° = 180°.

Solving the latter equation for x, we get x = 52°.

Therefore, by the first equation, x + y = 90° becomes 52° + y = 90°, yielding

y = 38°

7 0

3 years ago

-7/3x + 2/3 = -18 What is the solution?