Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?
1 answer:
Answer:
No, They are not equivalent
Step-by-step explanation:
The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.
The variable in this question is x.
To prove this, we equate both expressions:
This shows that they have the same value ONLY when x is 1.
This is why Andre says that they are equivalent, but they are not.
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Answer:
The Answer should be 6%
Step-by-step explanation:
Given,
MP =1500 and Discount =10%
So, SP = 1500 × 90% =1350
We know, profit = × 100%
=>20 = × 100
=>CP = 1125
Now, if profit =12%
then, SP' = 1260 ;(using previous equation for profit and CP=1125)
So, SP' = MP × (100 -Discount )
∴ Discount = 16% ;(SP' = 1260 and MP = 1500)
So, Discount should be increased = 16% - 10% = 6%
Pls mark this as the brainliest
Answer:
a) Atleast 75%
b) Atleast 88.9%
c) 95%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 6.7
Standard Deviation, σ = 1.6
Chebyshev's Theorem:
- Atleast
percent of data lies within k standard deviation of mean.
Empirical Rule:
- Almost all the data lies within 3 standard deviation for a normal data.
- Around 68% of data lies within 1 standard deviation of mean.
- Around 95% of data lies within 2 standard deviation of mean.
- Around 99.7% of data lies within 3 standard deviations o mean.
a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours
We have to find the percent of data lying within 2 standard deviation of mean.
Putting k = 2
Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.
b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours
We have to find the percent of data lying within 3 standard deviation of mean.
Putting k = 3
Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.
c) percentage of individuals who sleep between 3.5 and 9.9 hours per day.
Thus, we have to find the percentage of data lying within 2 standard deviation.
By empirical rule, around 95% of data lies within 2 standard deviation.
Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.
This is higher than the percentage obtained from Chebyshev's rule.