Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean,
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Cost of 1 lemon = 15/2 = 7.5 cents
Cost of 60 lemons = 7.5 * 60 = 450 cents or $4 50
Answer:
D 40,000nm
Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um
Therefore in 40 microns there are:
40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm
<u>Define x:</u>
Let the cost of the ball be x.
Ball = x
Bat = x + 0.1
<u>The total cost is $1.10:</u>
x + x + 0.1 = 1.1
2x + 0.1 = 1.1
2x = 1
x = 0.5
<u>Find the cost of the bat and the ball:</u>
ball = x = $0.50
bat = x + 0.1 = 0.5 + 0.1 = $0.60
Answer: The ball cost $0.50