Answer:
134.0 in^3
Step-by-step explanation:
Volume = (radius^2 * pi * height)/3 = (4^2 * pi * 8)/3 = 134.0 in^3
Given:
Cards labelled 1, 3, 5, 6, 8 and 9.
A card is drawn and not replaced. Then a second card is drawn at random.
To find:
The probability of drawing 2 even numbers.
Solution:
We have,
Even number cards = 6, 8
Odd numbers cards = 1, 3, 5, 9
Total cards = 1, 3, 5, 6, 8 and 9
Number of even cards = 2
Number of total cards = 6
So, the probability of getting an even card in first draw is:



Now,
Number of remaining even cards = 1
Number of remaining cards = 5
So, the probability of getting an even card in second draw is:


The probability of drawing 2 even numbers is:



Therefore, the probability of drawing 2 even numbers is
. Hence, the correct option is (b).
Answer:
250x+140=y
Step-by-step explanation:
so amount earned for 10 hours of work is 250
$63 000 ÷ 12
$5 250 ÷ 36
$145.83 should be put aside for retirement each month
Answer:
No real roots
Step-by-step explanation:
Given
7x² + 5x + 1 = 0 ← in standard form
with a = 7, b = 5, c = 1
To determine the nature of the roots use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then the roots are not real
Here
b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3
Thus the 2 roots are not real