The 3 consecutive numbers are 41, 42, and 43 : 41+42+43= 126
Answer:
Max: 500
Min: 492
Step-by-step explanation:
Her dog is on an 8 meter leash but it doesn't necessarily take up the whole leash. The most is could be closer to her house than Morgan is 8 meters, the least is 0.
Most: 500-0=500
Min: 500-8=492
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Answer:Jada will get same shade as Perfect Purple Water
Step-by-step explanation:
STEP 1
To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture
The ideal mixture is given as
8ml blue water and 3 ml red water.
Step 2
Andre mixes 16ml blue water with 9ml red water
is not equivalent to 
Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe
=
Jada mixes 24ml blue water with 9ml red water
is equivalent to 
Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe
=
This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water
Answer:
1963.2 pounds (lbs.)
Step-by-step explanation:
Things to understand before solving:
- - <u>Normal Probability Distribution</u>
- The z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by:

The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.
- - <u>Central Limit Theorem</u>
- The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц and standard deviation

As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.
This means, ц = 2000 and б = 100.
A random sample of 20 cables is chosen and tested.
This means that n = 20, 
Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.
This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So 
- By the Central Limit Theorem


<h3>Answer:</h3>
The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.
Answer:
Mean: 915.6
Mode: (there is none)
Median: $900
Step-by-step explanation: