Answer:
a. The proportion of vehicle speeds were between 25 and 57 mph is 68.26%
b.The proportion of vehicle speeds exceeded 57 mph is 15.87%.
Step-by-step explanation:
a. To calculate what proportion of vehicle speeds were between 25 and 57 mph we would have to make the following calculations:
Probability that the vehicle speeds were between 25 and 57 mph is given by:
P(25≤x≤57)
=P(<u>25-41 </u>≤ <u>x-μ </u> ≤ <u>57-41)</u>
16 σ 16
=P(-1≤z≤1)
=P(z≤1)-P(z≤1)
=0.8413-0.1587
=0.6826
The proportion of vehicle speeds were between 25 and 57 mph is 68.26%
b. To calcuate what proportion of vehicle speeds exceeded 57 mph, we would have to make the following calculation:
Probability that vehicle speeds exceeded 57 mph is given by
P(x>57)
=P(<u>x-μ </u> > <u>57-41)</u>
σ 16
=P(z>1)
=1-P(z≤1)
=1-0.8413
=0.1587
The proportion of vehicle speeds exceeded 57 mph is 15.87%.
Step-by-step explanation:
To determine the future value for the 401(k), we need to determine the amount contributed annually. It is stated that the amount the employee contributes to the fund is 9% of $45,624. $45,624(0.09) = $4,106.16 The employer contributes a maximum of 3% of the employee contribution. Therefore: $45,624(0.03) = $1368.72. Therefore, the total annual contribution is $5,474.88, giving a future value of $196,302.40. For the Roth IRA, the monthly contributions are $352.45 giving a future value of $152,636.09. Therefore, the 401(k) has a greater future value by $43,666.31.
Answer:
11
Step-by-step explanation:
If RS=TV
5x-9=2x+3
5x-2x=3+9
3x=12
x=4
RS is 5x-9
5(4)-9
20-9
11
Answer:
Step-by-step explanation:
so your answer is No solution