Answer:
Step-by-step explanation:
Circumference has the formula:
C = 2πr,
Where
C is the circumference
and
r is the radius
Given Circle Y has Circumference of 6, we can find the radius:
C = 2πr
6 = 2πr
r = 6/2π
r = 3/π
So, the radius (r_y) of Circle Y is 3/π, the first choice is right.
To write 311/500 as a decimal you have to divide the numerator by the denominator of the fraction. We divide now 311 by 500 what we write down as 311/500 and we get 0.622.
311/500 as a decimal equals 0.622.
x = 5 or x = - 
simplify the left side by combining the fractions
- 
= 
= 
= 
= 
( cross- multiply )
24x = 5 (x² - 1)
24x = 5x² - 5 ( rearrange into standard form )
5x² - 24x - 5 = 0 ← in standard form
consider the factors of the product 5 × - 5 = - 25 which sum to - 24
The factors are - 25 and + 1 ( split the middle term using these factors )
5x² - 25x + x - 5 = 0 ( factor by grouping )
5x( x - 5 ) + 1( x - 5 ) = 0 ( take out common factor (x - 5 ) )
(x - 5 )( 5x + 1 ) = 0
equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
5x + 1 = 0 ⇒ x = -
Answer:
D. Neither group of colleges satisfies her criterion.
Step-by-step explanation:
The probability of admission to at least one of the colleges in the group is the complement of the probability of being admitted to none. That probability is the product of the probabilities of rejection from the colleges in the group.
<u>Group VW</u>
The probabilities of rejection from V and W are 0.6 and 0.75, so the probability of rejection by both is 0.6×0.75 = 0.45. The complement of that, the probability of admission to V or W (or both) is 1 - 0.45 = 0.55, which is less than 60%.
<u>Group XYZ</u>
The probabilities of rejection are 0.7, 0.8, and 0.8, so the probability of rejection by all of X, Y, and Z is 0.7×0.8×0.8 = 0.448. The complement of that, the probability of admission to X, Y, or Z is 1 -0.448 = 0.552, which is less than 60%.
Since neither group of colleges will have a probability of admission of 60% or more, neither group of colleges will satisfy her criterion.
Answer:
0.5
Step-by-step explanation:
