There are seven rainbow colors: red, orange, yellow, green, blue, indigo, and violet, so 7 possible choices. When two events occur in sequence, multiply their probabilities. With replacement: P(violet)=1/7 and P(orange)=1/7, so P(violet then orange)=1/7 * 1/7 = 1/49. Without replacement: after picking violet, P(orange)=1/6, so P(violet then orange)=1/7 * 1/6 = 1/42.
Part A
To identify the values of x that make 2x−1 positive
⇒ 2x - 1 > 0
⇒ 2x > 1
⇒ x > 
As a result, for any x greater than
, the expression 2x-1 is positive
Part B
To find values of y making 21−37 negative
⇒ 21-3y < 0
⇒ 21 < 3y
⇒ 7 < y
Thus, for all y values exceeding 7, the expression 21-3y is negative
Part C
To identify values of c that digit 5−3c greater than 80
⇒ 5-3c > 80
⇒ -3c > 75
⇒ -c > 25
⇒ c < -25
Therefore, for values of c less than -25, the expression 5-3c surpasses 80
Answer:
C. The mean daily salary is not above $350 per day
Step-by-step explanation:
The calculation is displayed below:
Y = a + bX
where,
Y = earnings of a randomly chosen agent
a = $150
b = $50
X = number of loans closed
Now
E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)
= 3.94
Consequently,
E(y) = $150 + ($50 × 3.94)
= $347
therefore, option C is incorrect
Answer: You would need 40 bushels of seed to plant 30 acres of wheat.
Step-by-step explanation:
<pTypically, 1 1/3 bushels of seed are necessary to cultivate 1 acre of wheat. In improper fraction form, 1 1/3 bushels becomes 4/3 bushels.
Let x denote the bushels of seed required for 30 acres. Thus, we have
4/3 bushels = 1 acre
x = 30 acres
Cross multiplying gives us
x × 1 = 4/3 × 30
x = 40 bushels of seed
