Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.
Answer:
B. binomial with n = 5 and p = 1/6
Step-by-step explanation:
Given that James reads that 1 out of 6 eggs contains salmonella bacteria.
So he never uses more than 5 eggs in cooking.
If eggs do or don't contain salmonella independently of each other, then
probability for any one egg to contain salmonella bacteria is the constant 1/6.
Also there are only two outcomes, either bacteria present or not.
Hence the number of contaminated eggs when James uses 5 chosen at random has the distribution is Binomial
Here n = no of trials = no of eggs he uses = 5
Probability = 1/6
So option B is right.
Find out how much Alex earned in 35 hours first.
1 hour = $12.50
35 hours = $12.50 x 35 = $437.50
Since ‘time and a half’ pays 1.5 times more than their usual pay, find out how much Alex earned per hour at ‘time and a half’
1 hour = 12.50 x 1.5 = $18.75
5 hours = 18.75 x 5 = $93.75
$437.50 + $93.75 = $531.25
Alex would have earned $531.25 for the week.