Ask question

Ask question

All categories

3 years ago

6

In a class of 25 students, 15 are female and 16 have an A in the class. There are 12 students who are female and have an A in th

e class. What is the probability that a student has an A given that the student is female?

1 answer:

Mamont248 [21]3 years ago

5 0

Answer:12/16

Step-by-step explanation:

You might be interested in

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the co

Inessa05 [86]

Answer:

7 5/6

Step-by-step explanation:

1 1/2= 1 3/6

6 1/3= 6 2/6

1 3/6

+6 2/6

————-

7 5/6

4 0

2 years ago

A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price of the jacket befo

Naya [18.7K]

Answer:

72

Step-by-step explanation:

because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72

3 0

3 years ago

Store display volume of each cube shaped box is 125 cubic inches of the display has six layers of boxes how high is the display

Doss [256]

Answer:

30 inches

Step-by-step explanation:

We know that the formula for calculate the volume of a cube is:

∨=8³

Where "s" is the length of each side.

Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":

125 in³=8³

∛125 in³=8

8=5 in

We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.

Then:

height= (5 in)(6)=30 in

8 0

3 years ago

12. In Europe, 88% of all households have a TV. 51% of all households have a TV and VCR. What is the probability that a househol

PSYCHO15rus [73]

Answer:

0.579 is the probability that a household has a VCR given they have a TV.

Step-by-step explanation:

We are given the following in the question:

Probability of all households have a TV = 88% = 0.88

$P(T) = 0.88$

Probability of all households have a TV and VCR = 51% = 0.51

$P(T\cap V) = 0.51$

We have to find the probability that a household has a VCR given they have a TV.

The conditional probability is given by:

$P(V|T) = \displaystyle\frac{P(V\cap T)}{P(t)} = \frac{0.51}{0.88} = 0.579$

0.579 is the probability that a household has a VCR given they have a TV.

7 0

3 years ago