Answer: last option
Step-by-step explanation:
You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.
Then, to find the minimum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
Rewriting it:
To find the maximum weight he can guess in order to get his pumpkin for free, it's necessary to write the expression:
Rewriting it:
The volume of cylinder b is same as cylinder A = 360 cm^3
Answer: B) {y | y ≥ -4}
<u>Step-by-step explanation:</u>
Range is: all the values that y can be. The lowest y-value of the given graph is -4 and the the highest y-value is positive infinity.
To solve this problem you must apply the following proccedure:
1. <span>You have a total of 21 coins, all nickels and dimes. Then:
x:nickels=5 cents
y: dimes=10 cents
x+y=21
2. You have that the total value is $1.70. Then:
5x+10y=170
3. The system of equation is:
x+y=21 (i)
5x+10y=170 (ii)
4. You have:
x+y=21
x=21-y
5(21-y)+10y=170
105-5y+10y=170
y=13 dimes
x+13=21
x=8 nickels</span>
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n have standard deviation given by .
In this problem:
- Mean of 0.75 inches, thus .
- Standard deviation of 0.04 inches, thus
- Sample of 36, thus .
The probability of being shutdown is the <u>probability of a sample mean less than 0.73 inches or more than 0.77 inches</u>. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:
The probability is P(|z| > 2.99), which is <u>2 multiplied by the p-value of z = -2.99</u>.
z = -2.99 has a p-value of 0.0014.
2(0.0014) = 0.0028
0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
A similar problem is given at brainly.com/question/25212662