Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
The answer is (x+1)-(2x-4)=6
Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
Ted:
4,000 @ 4.5% interest compounded annually
Alan:
1,000 @ 6% interest compounded annually
Rule of 72: divide 72 by the compound annual interest rate
Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years
<span>Alan will win. It will take 12 years.</span>
Answer:
ASA Congruence Postulate
Step-by-step explanation:
Here if we clearly observe ∠DAC=∠BCA and ∠DCA=∠BAC
Also AC is a common side to both the triangles .
So by ASA congruence postulate we have that the ΔADC and ΔCBA are congruent.
ASA congruence postulate states that if two triangles have two angles and an included side same then both the triangles are congruent.
