Answer:
So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.
So as you said, 12 choose 7 = 792
Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.
So to choose 3 real from 5 is 5 choose 3 = 10
And to choose 4 fake from 7 is 7 choose 4 = 35
3x10/792= 350/792= 175/396
Answer:
27
Step-by-step explanation:
do 3 time 5 and you get 15 and then you do 3 times 4 and you get 12 and then you add 15 and 12 and you get 27.
6.0⋅<span>102</span><span>kg m<span>−3</span></span>
Explanation:
In order to find the density of the bowling ball, <span>ρ
</span>, you must determine the mass one unit of volume of this bowling ball would have.
Notice that the problem provides you with the volume of the bowling ball expressed cubic meters, <span><span>m3</span>
</span>, which means that one unit of volume would be <span><span>1 m3</span>
</span>.
Now, you know that a volume of <span><span>0.0050 m3</span>
</span> has a mass of <span>3.0 kg
</span>. You can use this known proportion as a conversion factor to figure the mass of <span><span>1 m3</span>
</span>
<span><span>1<span>m3</span>⋅<span>3.0 kg<span>0.0050<span>m3</span></span></span>=600 kg</span>
</span>
So, you know that one unit of volume has a mass of <span>600 kg
</span>, which means that the bowling ball's density is equal to
<span><span><span>ρ=6.0⋅<span>102</span><span>kg m<span>−3</span></span></span><span>−−−−−−−−−−−−−−−−−</span></span>
</span>
The answer is rounded to two sig figs.
angle D = 92°
Step-by-step explanation:
Since the two figures are congruent.
angle D = angle K
20x + 12 = 25x - 8
5x = 20
x = 4
Substituting this value into angle D, we see that
angle D = 20x + 12
= 20(4) + 12
= 92°
