Eva played her favorite video game for 14 hours last week. Today, Eva's parents restricted her to 4 additional hours each week f
1 answer:
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Answer:
32.64% probability that you would have enough money to pay for all five baskets of fries
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are 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 normally distributed random variable X, with mean and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
In this problem, we have that:
You want to get 5 baskets of fries but you only have $28 in your pocket. What is the probability that you would have enough money to pay for all five baskets of fries?
28/5 = 5.6
So this is the pvalue of Z when X = 5.6.
By the Central Limit Theorem
has a pvalue of 0.3264
32.64% probability that you would have enough money to pay for all five baskets of fries
Answer:
The total number of eligible voters in the town = 1224 ( app.)
Step-by-step explanation:
Let us assume the total number of eligible voters = p
Now, the number of votes received by Stan Fitz = 542
The number of votes received by Elizabeth Stuckey = 430
The number of votes received by Gene Sterner = 130
So, the total number of votes received in total = 542 + 430 + 130 = 1,102
Now, only the 90% of total voters p voted in the election.
⇒ 90% of p = 1102
or, p ≈ 1224
Hence, the total number of eligible voters in the town = 1224 ( app.)
The value of x is 4. So 40000 mg= 40 g.
Step-by-step explanation:
The given is 40000mg = 10x g
Step:1
Take given equation as equation (1)
40000 mg= 10x g.................(1)
where, X is known value.
Step:2
Standard value for mg to g for the purpose of conversion of units,
1 milligram = 0.001 gram (or)
1 gram = 1000 milligram
Step:3
From the standard data values,
= 40000 mg
it converted mg to g by dividing 1000
= g
= 40 g.......................(2)
Step:4
From the Equations (1) and (2),
40=10x
x=4
Result:
The value of x is 4. So, 40000mg = 40 g.