Answer:
The probability that the bottle contains fewer than 12.38 ounces of beer
P(x < 12.38) = 0.00621
Step-by-step explanation:
This is a normal distribution problem with
Mean = μ = 12.48 ounces
Standard deviation = σ = 0.04 ounces
The probability that the bottle contains fewer than 12.38 ounces of beer
P(x < 12.38)
To solve this, we need to first normalize/standardize 12.38
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (12.38 - 12.48)/0.04 = -2.50
To determine the probability that the bottle contains fewer than 12.38 ounces of beer
P(x < 12.38) = P(z < -2.50)
We'll use data from the normal probability table for these probabilities
P(x < 12.38) = P(z < -2.50) = 0.00621
Hope this Helps!!!
Answer:
x = 52/3
Step-by-step explanation:
3x / 7x = (3x+7) / (3x+7+5x-8)
3/7 = (3x+7)/(8x - 1)
Cross multiply
7(3x+7)=3(8x-1)
21x + 49 = 24x - 3
-3x = -52
x = 52/3
Answer:
$2,871.00
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1595(1 + (0.08 × 10)) = 2871
A = $2,871.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.
Using the p-value method, the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
<h3>What is the relation between the p-value and the test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected.
- If it is less, it is rejected.
In this problem, we have a two-tailed test, as we are testing if the mean is different of a value. For a significance level of 0.1, the critical value of z(when a p-value of 0.1 is obtained) is of |z| = 1.645, hence the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
More can be learned about p-values at brainly.com/question/13873630
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Answer:
B. 2 Over 5
Step-by-step explanation:
The answer would be B because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.
