Answer:
Would it be 90 degrees?
Step-by-step explanation:
Answer:
X=1296
or if your trying to look for the area it would be x=1111
its basically length times width
Answer:
30 i believe
Step-by-step explanation:
hope this helps. i say 30 because thats the only common multiple in those numbers :P
Answer:
86.64% probability that the mean tire life of these four tires is between 57,000 and 63,000 miles
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
In this problem, we have that:
Suppose you bought a set of four tires, what is the likelihood the mean tire life of these four tires is between 57,000 and 63,000 miles
This is the pvalue of Z when X = 63000 subtracted by the pvalue of Z when X = 57000. So
X = 63000
By the Central Limit Theorem
has a pvalue of 0.9332
X = 57000
has a pvalue of 0.0668
0.9332 - 0.0668 = 0.8664
86.64% probability that the mean tire life of these four tires is between 57,000 and 63,000 miles
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.
Answer:
(a) The probability that the house size is over 1371 square feet is 0.4483.
(b) The probability that the house size is under 1296 square feet is 0.3974.
(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.
Step-by-step explanation:
We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.
Let X = the sizes of houses in Kenton County
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean size of houses = 1346 square feet
= standard deviation = 191 square feet
(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)
P(X > 1371) = P( > ) = P(Z > 0.13) = 1 - P(Z 0.13)
= 1 - 0.5517 = 0.4483
The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.
(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)
P(X < 1296) = P( < ) = P(Z < -0.26) = 1 - P(Z 0.26)
= 1 - 0.6026 = 0.3974
The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.
(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)
P(773 < X < 1637) = P(X < 1637) - P(X 773)
P(X < 1637) = P( < ) = P(Z < 1.52) = 0.9357
P(X 773) = P( ) = P(Z -3) = 1 - P(Z 3)
= 1 - 0.9987 = 0.0013
The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.
Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.
Answer:
Step-by-step explanation:
Total amount of apple John has = 5 apples
Amount given out to his friend = 2 apples
Number of apples Joh have left = Total amount of apple - Amount given out
Number of apples Joh have left = 5 apples - 2 apples
Number of apples Joh have left = 3 apples
Hence John has 3 apples left
To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.
The given question is an inequality situation where we are asked to use graph to solve.
The data given are
The inequality for this problem is given is as
Kindly find the attached image as the graph and solution to this problem.
Learn more on graphically solution for inequality here;
#SPJ2
The answer is (180,80)