ILL GIVE BRAINLIST

A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that

Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

$P(A\cap B)=P(A).P(B)$

Now, According to question , we can get that

$P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}$

So,

$P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}$

So, by using the conditional probability , which state that

$P(B\mid A)=\frac{P(A\cap B)}{P(A)}$

$P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}$

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

$\frac{1}{5}$

4 0

4 years ago

Find the value of x. 30° 15x A. 4 B. 10 C. 12 D. 2

goldenfox [79]

Answer:

10 is the answer

Step-by-step explanation:

5 0

3 years ago

Graph h(x)=7 sin x ?

dedylja [7]

Answer:

The graph of h(x) is shown below.

Step-by-step explanation:

The given function is

$h(x)=7\sin x$

The general form of sine function is

$f(x)=a\sin(bx+c)+d$

Where, a is amplitude, b is period, c is phase shift and d is vertical shift.

So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.

It means the minimum value of function is -7 and maximum value is 7.

Therefore the points on the function are (0,0), $(-\frac{\pi}{2},-7),(\frac{\pi}{2},7)$ .

The graph of function is shown below.

4 0

4 years ago

David was eating 20 grams of ice cream every thirty seconds from his ice cream cone. As the weather was very hot, the 300-gram i

bulgar [2K]

Answer:

about 5 minutes 6 seconds

Step-by-step explanation:

There are two ways to interpret this problem statement. "He had already eaten half of it" could be interpreted to mean that half the initial cone is gone and 150 grams remain. Of course, some of the reduction in mass is due to dripping, not due to eating.

So, the other interpretation is that David ate an amount equal to half of the ice cream that would have existed at that time, considering the reduction due to dripping. Taking the problem statement quite literally, we will use this interpretation.

___

Initial rates

The initial mass of the ice cream cone is being reduced at the rate of 5 grams per minute. If the cone were not being eaten, its mass could be modeled by ...

c(t) = 300 -5t . . . . . where c(t) is in grams and t is in minutes

David is eating at the rate of 20 grams in 1/2 minute, or 40 grams per minute, so his eating can be modeled by ...

e(t) = 40t

The rates of dripping and eating are said to change when David has eaten half the cone, or when ...

e(t) = (1/2)c(t)

Solving for t, we find ...

40t = (1/2)(300 -5t)

85t = 300

300/85 = t = 60/17 ≈ 3.529 . . . . minutes

At this point in time, the amount of cone remaining is equal to the amount that has been eaten, ...

e(60/17) = 2400/17 ≈ 141.18 . . . . grams

_____

Doubled rates

At this point in time, the rates of dripping and eating double, so the amount of cone can now be modeled by ...

c(t) = (2400/17) -10t

and David's eating can be modeled by ...

e(t) = 80t

Now, we're looking for the additional time it takes to finish the cone.

e(t) = c(t)

80t = (2400/17) -10t

90t = 2400/17

t = 2400/(17·90) = 80/51

So, the total time to eat the dripping ice cream cone is ...

60/17 minutes + 80/51 minutes = 260/51 minutes

= 5 5/51 minutes ≈ 5 minutes 6 seconds

_____

Comment on the alternate interpretation

If the problem is worked so the rates double after half the initial cone (150 g) is gone (due to dripping and eating), then the rates change at time 3 1/3 minutes and it takes 1 2/3 minutes for the remaining cone to disappear at the higher rates. The total time comes out an even 5 minutes.

Our objection to this interpretation is that David did not actually eat half of the cone at the point where the rates change.

5 0

3 years ago

27 is 30% of what number

WITCHER [35]

27=0.3(x)
27/0.3=90
The number is 90

4 0

3 years ago