How many terms are in the expression 4

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

ratelena [41]

So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

3 0

4 years ago

[I have no idea how to do this]

jekas [21]

Answer:

We have 16 ounces of 3% H2O2

How many ounces of 30% H2O2 do we add to make a 10% H2O2 solution?

let x = amount of ounces of 30% H2O2 to add

.03 * 16 + .30x = .10 * (16 + x)

.48 + .30x = 1.6 + .1x

.2x = 1.12

x = 5.6 ounces

Source:

https://www.1728.org/mixture.htm

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Four circles of unit radius are drawn with centers $(1,0)$, $(-1,0)$, $(0,1)$, and $(0,-1)$. a circle with radius 2 is drawn wit

Reika [66]

Check the picture 1.

The regions contained in an odd number of these 5 circles are

the pink colored region, contained only in the circle with radius 2,

and the yellow regions, each contained in the intersection of 2 small circles and the third large circle.

So what we need to determine is the "area pink + area yellow".

Consider the second picture.

Let A2 be the area of the right isosceles triangle, and A1 be half of the yellow region.

the region A2 + A1 is called a sector, and it is 1/4 of the area of a unit circle.

$A1=A_{sector}-A2= \frac{1}{4} \pi r^2- \frac{1}{2}.1.1= \frac{1}{4} \pi 1^2- \frac{1}{2}= \frac{1}{4}\pi- \frac{1}{2}$

Thus, the overall yellow region is $8A1=8(\frac{1}{4}\pi- \frac{1}{2})=2\pi-4$

The purple area is:

Area of large circle - 4*(Area of 1 small circle) + yellow region.

(because subtracting all 4 small circles means that each of the 4 separate yellow regions have been subtracted twice)

$A_{purple}=\pi.2^2-4(\pi.1^2)+2\pi-4=4\pi-4\pi+2\pi-4=2\pi-4$

Finally, the total area is : $2\pi-4+2\pi-4=4\pi-8$ (units squared)

Answer: $6\pi-8$ square units

6 0

4 years ago

Select the correct answer from each drop-down menu. In a circle with a radius of 7 feet, the radian measure of the central angle

trasher [3.6K]

In a circle, the number of radians is proportional to the relative length of the arc, in comparison to the radius. We have that if we denote by x the radians, the following proportionality holds, relating angles and lengths:
$\frac{x}{2\pi} = \frac{4}{2 \pi 7}$
because the total of angles in radians is 2pi and the total circumference is 2pi times the radius. Hence, by solving for x we get: x=4/7=0.57 rad

We also have that the area is proportional to the angles. The total are is $\pi r^2$ . Hence, A= $\frac{4}{2 \pi 7 } *\pi* 7^2= 14 square feet.$

7 0

3 years ago

8

Kruka [31]

Answer:

Y=-1/4x-4

Step-by-step explanation:

To find the slope, you would need to use the equation y2-y1/x2-x1 by the coordinates. You would get -3-(-2)/-4-(-8). This would result in -1/4. Now that you have your slope, you plug in one of the coordinates. If you used (-8,-2), you would get -2=-8(-1/4)+b. Simplify the equation to get -2=2+b, which simplifies to -4=b, and b is the y intercept.

6 0

3 years ago

How many terms are in the expression 4 - 8a?