Ask question

Ask question

All categories

3 years ago

9

If one card is randomly chosen from a standard deck, what is the probability that a black 7 is chosen? A. 2/52 B. 4/52 C. 7/52 D

. 26/52

2 answers:

aksik [14]3 years ago

7 0

The answer to your question is A

netineya [11]3 years ago

5 0

$|\Omega|=52\\ |A|=2\\\\ P(A)=\dfrac{2}{52}\Rightarrow \text{A}$

You might be interested in

The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the

Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

$S=4\pi r^2$

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

$\frac{d}{2}=r$ Now we can have the equation in terms of diameter instead of radius. Rewriting:

$S=4\pi(\frac{d}{2})^2$ which simplifies to

$S=4\pi(\frac{d^2}{4})$ and a bit more to

$S=\pi d^2$ (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

$\frac{dS}{dt}=\pi*2d\frac{dD}{dt}$ Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for $\frac{dD}{dt}$ , the rate at which the diameter is changing, when the diameter is 13. Filling in:

$-3.8=\pi(2)(13)\frac{dD}{dt}$ and solving for the rate at which the diameter is changing:

$-\frac{3.8}{26\pi}=\frac{dD}{dt}$ and divide to get

$\frac{dD}{dt}=-.459\frac{cm}{min}$ Obviously, the negative means that the diameter is decreasing.

7 0

3 years ago

Simplify fully 4x^2+4x/2x^2-2

iren2701 [21]

Answer:

Simplify the expression.

2x³ + 4x² − 2

4 0

2 years ago

Find the equation of the line through point (10,4) and parallel to 3x+5y=8.

Gnom [1K]

Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10

8 0

3 years ago

Medal award ceremonies are held after each event. The following three flags are used to represent the gold, silver, and bronze m

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Having the information on how many events there are and how many people in each event there would help me personally solve this

what i can tell you is its a probability thing a tree diagram is starting with something, like flipping a coin, and creating a branch for heads and tails, 0.5 for each branch. like the attachment I have on here. there's only 2 probable results from a coin, but if I have 5 events with 50 competitors I've created a lot more probable outcomes, it also depends on the events, if one of my competitors in 6'9" and ones 5'2" and the event is a dunk contest it would be slightly unfair and the probability of the person who is 5'2" changing your tree diagram :)

6 0

1 year ago

Find an equation of the line that passes through the point (-6,7) and is perpendicular to the line 12x-18y-72=0

madreJ [45]

Answer:

y=-1.5x-2

Step-by-step explanation:

18y=12x-72

3y=2x-12

y=2/3x-4

Slope=-1.5

7=-6(-1.5)+b

7=9-2

4 0

3 years ago