<span>Step 1: Simplify both sides of the equation.</span>
−(5−(a+1))=9−(5−(2a−3))<span />
−(5−(a+1))=9+−1(5−(2a−3))<span>(Distribute the Negative Sign)</span>−(5−(a+1))=9+(−1)(5)+−1(−2a)+(−1)(3)<span />−(5−(a+1))=9+−5+2a+−3<span />a+−4=9+−5+2a+−3<span>(Distribute)</span>a−4=(2a)+(9+−5+−3)<span>(Combine Like Terms)</span>a−4=2a+1<span />a−4=2a+1<span /><span>Step 2: Subtract 2a from both sides.</span>a−4−2a=2a+1−2a<span />−a−4=1<span /><span>Step 3: Add 4 to both sides.</span>−a−4+4=1+4<span />−a=5<span /><span>Step 4: Divide both sides by -1.</span>−a−1=5−1<span />a=−5<span />
Answer:
2.5% of IQ scores are no more than 65
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
Answer: $26
Step-by-step explanation:
Since the 7 tickets cost $168, the value of each ticket will then be:
= $168/7
= $24
Each ticket cost $24
If one friend gave him $50, the change that the friend will collect will be:
= $50 - $24
= $26
Therefore, Edward should return $26 to the person.
The simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴
<h3>What is an arithmetic operation?</h3>
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a mathematical expression:
= 6543549² × 4³ ÷ 8
Using BODMAS
= 6543549² × 8
= 3.4254×10¹⁴
Thus, the simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴
Learn more about the arithmetic operation here:
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Answer:
The second one
Step-by-step explanation: