Answer:
The probability that the sample proportion will be less than 0.05 is 0.80511.
Step-by-step explanation:
We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.
Suppose the true proportion is 0.04 and 349 are sampled.
<u><em>Let </em></u>
<u><em> = sample proportion</em></u>
The z score probability distribution for sample proportion is given by;
Z =
~ N(0,1)
where,
= sample proportion
n = sample size = 349
p = population proportion = 0.04
Now, the probability that the sample proportion will be less than 0.05 is given by = P(
< 0.05)
P(
< 0.05) = P(
<
) = P(Z < 0.86) = 0.80511
<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>
Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.
He is incorrect because you can multiply unlike terms like y and x and you'll get xy but you can't add unlike terms like 13x+16y is the simplest it can be.
Answer: True
Step-by-step explanation:
Substitute -1 for x and 1 for y in the equation y = 4x + 5
(1) = 4(-1) + 5
1 = -4 + 5
1 = 1
Left side = right side
Therefore, the point (–1, 1) satisfies the equation y = 4x + 5
You should just have to divide the weight lost (4.5 ounces) by the time it took for her cat to lose that weight (4 weeks)!
4.5 / 4 = 1.125, meaning her cat lost about 1.125 ounces per week!