Answer:
There are 6 boxes
Step-by-step explanation:
We know there are 45 frames and 3 broken ones, so there are 48 frames in total.
We know there are 8 boxes that have the frames.
let x equal the amount of picture frames in a box
8x=48
8x/8 = 48/8
x=6
Step-by-step explanation:
he has 900-230 = 670 more push-ups to do in the remaining 20 days.
so, he has to do every day
670/20 = 67/2 = 33.5 push-ups.
fractions of push-ups don't make sense.
we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .
so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.
p > 33
or
p >= 34
both should be correct in the context of using only whole numbers.
bur in case of doubt I would pick p >= 34.
The mean proportion is p = 36/120 = 0.3.
The standard deviation of the proportion will be sqrt(p*(1-p)/n) = sqrt(0.3*0.7/120) = 0.0418. We multiply this by the z-score of 1.645 to get a deviation of 0.0688.
Therefore, the confidence interval is (0.3 - 0.0688, 0.3 + 0.0688), which is
(0.2312, 0.3688).
1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A.
2. AB=BC, because tangents drawn to a circle from the same point are equal.
3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.
4. So measure of m(BPA)=x/2 and m(ABP)=73/2.
5.
, x= 107 degrees.
