Answer:
See explanation
Step-by-step explanation:
A. P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%
P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%
P(side)=25/30=5/6=83.33333333333...%
B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.
1.45 meters is your answer
Sintheta,costheta,tantheta are only positive in quadrant 1
sintheta is only positive in quad2
tantheta is only positive in quad3
costheta is only positive in quad4
Answer:
![(-\infty,\frac{25}{24}]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%5Cfrac%7B25%7D%7B24%7D%5D)
Step-by-step explanation:
Assuming 
is a variable:
![4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}]](https://tex.z-dn.net/?f=4i-4%28i%2B2%29%5Cgeq6%288i-8%29%5C%5C%5C%5C4i-4i%2B2%5Cgeq48i-48%5C%5C%5C%5C2%5Cgeq48i-48%5C%5C%5C%5C50%5Cgeq48i%5C%5C%5C%5C%5Cfrac%7B50%7D%7B48%7D%5Cgeq%20i%5C%5C%20%5C%5C%5Cfrac%7B25%7D%7B24%7D%5Cgeq%20i%5C%5C%20%5C%5Ci%5Cleq%5Cfrac%7B25%7D%7B24%7D%5C%5C%20%5C%5C%28-%5Cinfty%2C%5Cfrac%7B25%7D%7B24%7D%5D)
Answer:
x=8
Step-by-step explanation:
If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.
If x=16 when y=3/4 we can write their relation as:
x/y = 16/(3/4) = 16*(4/3) = 64/3
So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.
Now we can see what happens to x when y varies. If y=3/8:
x/(3/8) = 64/3
Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.
x/(3/8) * (3/8) = (64/3) * (3/8)
See that we have a 3 multiplying and another dividing, we can eliminate them.
x = 64/8
x = 8
So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.
