Answer: $53,330
Step-by-step explanation:
This is an exponential function so to find the salary in 3 years, you need to use a future value formula such as :
= Amount * ( 1 + rate) ^ number of years
Amount = $51,000
Rate = 1.5%
Number of years = 3 years
Salary = 51,000 * ( 1 + 1.5%)³
= 53,329.59
= $53,330
Answer:
Point D and It is equivalent to 75%
Step-by-step explanation:
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
In this case we have the set of 20 points described above, then the mean is:
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
Answer:
Step-by-step explanation:
Hello!
X: Cholesterol level of a woman aged 30-39. (mg/dl)
This variable has an approximately normal distribution with mean μ= 190.14 mg/dl
1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:
P(Z≥z₀)= 0.093
-*or*-
P(Z≤z₀)= 0.907
Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:
P(Z≤z₀)= 0.907
Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:
z₀= 1.323
2.
Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:
Z= (X- μ)/δ ~N(0;1)
Z= (X- μ)/δ
Z*δ= X- μ
δ=(X- μ)/Z
δ=(240-190.14)/1.323
δ= 37.687 ≅ 37.7 mg/dl
I hope it helps!
Answer:
Yes. Suri and Juan can make the same amount of wages by working 25 hours in one week.
Step-by-step explanation:
Let each of them work x hours per week.
Suri makes $15 per hour, so in x hours Suri will make $ 15x. The total wages per week for Suri will be:
Total Wages = y = 15x + Bonus = 15x + 25
Juan makes $14 per hour, so in x hours Juan will make $ 14x. The total wages per week for Juan will be:
Total Wages = y = 14x + Bonus = 14x + 50
If they will make the same wages, their wages must be equal, i.e.
15x + 25 = 14x + 50
15x - 14x = 50 - 25
x = 25
This result shows us that if Suri and Juan work for 25 hours per week they will make the same amount of wages.
