Answer:
u=9
Step-by-step explanation:
I combined like terms and used pemdas
Question number.4help me plss
2 answers:
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Answer:
Uma is 11 years 11 months 4 days older
Step-by-step explanation:
Given
Let
x = Uma's age
y = Her brother's
So:
x = 12years 9months 5days
y = 10 months 1 day
Required
How much older is Uma
To do this, we simply calculate the difference (d) in their ages:
This gives:
d = [12 years 9 months 5 days] - [10 months 1 day]
Collect like terms
d = [12 years 9 months - 10 months] + [5 days - 1 day]
d = [11 years 11 months] + 4 days
d = 11 years 11 months 4 days
Answer:
P(M > 260.2-cm) = 0.702
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 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 sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
P(M > 260.2-cm)
This is 1 subtracted by the pvalue of Z when X = 260.2. So
By the Central Limit Theorem
has a pvalue of 0.298.
1 - 0.298 = 0.702
So
P(M > 260.2-cm) = 0.702