Total marbles = 40 & 1/4 (or 0.25) are, then RED = 40x 0.25 = 10
If RED = 10 then BLUE = 30
P(picking one blue) = 30/40 = 3/4 =0.75
The area of a circle is = pi*radius^2
Area = pi * (24)^2 = 576*pi = <span>1809.56 in^2</span>
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
![Z =\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
Where
μ is the mean, x is a data of the population and
is the standard deviation
In this case
![\mu =101\\\\\sigma = 3.4\\\\X = 105](https://tex.z-dn.net/?f=%5Cmu%20%3D101%5C%5C%5C%5C%5Csigma%20%3D%203.4%5C%5C%5C%5CX%20%3D%20105)
Then the z-score is
![Z = \frac{105-101}{3.4}\\\\Z = 1.18](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B105-101%7D%7B3.4%7D%5C%5C%5C%5CZ%20%3D%201.18)
Answer:
b = 19
Step-by-step explanation:
- 2(b-1)=3(7-b) (distributive property)
-2b+2 = 21 - 3b
-2b+3b = 21-2
b = 19
Answer:
Step-by-step explanation: