Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
= 79
Standard deviation,
= 3.5
Now,
⇒ 
⇒ 
So,
= ![1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ]](https://tex.z-dn.net/?f=1%20-%20P%7B%5Cfrac%7B%28%5Cbar%20x%20-%20%5Cmu%20%5Cbar%20x%20%29%7D%7B%20%5Csigma%20%5Cbar%20x%7D%20%20%3C%20%5Cfrac%7B%2881%20-%2079%29%20%7D%7B0.875%7D%20%5D)
= 
= 
Step-by-step explanation:
the circumference of a circle is
C = 2×pi×r
with r being the radius.
the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is
4×22 = 88 cm.
now, it is the same wire of the same length that is now forming a circle.
so, the circumference of the square is also the circumference of the circle.
therefore,
88 = 2×pi×r
44 = pi×r
r = 44/pi = 14.00563499... cm
so, rounded, radius = 14 cm.
Answer:
p = -15
Step-by-step explanation:
-2 = (p+9)/3 multiply both sides by 3 to get rid of fraction
-6 = p + 9 subtract 9 from both sides
-15 = p
Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.
Answer: 105
Step-by-step explanation: 25 frames is 1 second. The video already played 3 and 2/5 seconds before the player started to count 0, so you can write 3 and 2/5 seconds as an improper fraction. =(5*3)+2 / 5 = 17/5 seconds. Multiply by 25 frame. 17/5 *25 =85 frames. So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames. then to get the number of frames that were already in count you would subtract 85 frames from the 190 frames.
190-85=105 frames
(Not 100% sure so apologies if I'm wrong)
