Answer:
area of P=πr^2
area of Q=πr^2/4=π×400/4=100π
acc to ques
A(q)=4× A(p)
100π=4×πr^2.
100=4r^2
r^2=25
radius of p= √25=5cm
Answer: 0.4013
Step-by-step explanation:
Given : The volumes of soda in quart soda bottles are normally distributed with : ![\mu=32.3\text{ oz}](https://tex.z-dn.net/?f=%5Cmu%3D32.3%5Ctext%7B%20oz%7D)
![\sigma=1.2\text{ oz}](https://tex.z-dn.net/?f=%5Csigma%3D1.2%5Ctext%7B%20oz%7D)
Let x be the volume of randomly selected quart soda bottle.
z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![z=\dfrac{32-32.3}{1.2}=-0.25](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B32-32.3%7D%7B1.2%7D%3D-0.25)
The probability that the volume of soda in a randomly selected bottle will be less than 32 oz = ![P(x](https://tex.z-dn.net/?f=P%28x%3C32%29%3DP%28z%3C-0.25%29)
![=0.4012937\approx0.4013](https://tex.z-dn.net/?f=%3D0.4012937%5Capprox0.4013)
Hence, the probability that the volume of soda in a randomly selected bottle will be less than 32 oz is 0.4013
2 quarters,4 nickels, and 7 dimes 50+20+70=140 she has 1.40$"
You can simply look and see if one is terminating by seeing if it ends. For example, 2.54 is terminating since the numbers after the decimal aren't repeating. A repeating number is for example 0.555555..
Answer:
D. -3
Step-by-step explanation:
The table is:
x | y
-5 | 23
-2 | 14
1 | 5
To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:
slope = (y2 - y1)/(x2 - x1)
Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:
slope = (5 - 14)/(1 - (-2)) = -3