A=1/2 * d1 * d2
a=1/2 * 2.7 * 3.2= 4.32mm
50% were invested in land, 10% were invested in stocks and 20% were invested in bonds.
Based on this, the total percentage of investments can be calculated as follows:
percentage of investments = 50% + 10% + 20% = 80%
The remaining percentage that was put into a saving account can be calculated as follows:
percentage of money in saving account = 100% - 80% = 20%
Now we know that the remaining is $35,000 represent the 20% of his money.
Assume his total amount of money is m, therefore:
20% x m = 35000
0.2m = 35,000
m = (35,000) / 0.2 = 175,000
Based on this, <span>the total amount of money that Mr. Rodriguez saves and invests is $175,000</span>
Answer:
b
Step-by-step explanation:
Answer:
The correct option is a. 65 to 89.
Step-by-step explanation:
According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:
• 68% data falls within 1 standard deviation of the mean. That is P (µ-σ≤X≤ µ+σ) = 0.68.
• 95% data falls within 2 standard deviations of the mean. That is P (µ-2σ≤X≤ µ+2σ) = 0.95.
• 99.7% data falls within 3 standard deviations of the mean. That is P (µ-3σ≤X≤ µ+3σ) = 0.997.
The information provided is:
Use the Empirical rule to compute the middle 95% of the distribution as follows:
Thus, the correct option is a. 65 to 89.
Answer:
Margin of error = 0.09
Confidence interval = (0.29, 0.41)
Step-by-step explanation:
Sample size, n = 1023
p = 38%
= 0.38
Standard deviation, σ = 1.5
Consider the level of confidence to be 95%
So, corresponding z* value for 95% confidence level = 1.96
Hence, confidence interval = p ± margin of error
= 0.38 ± 0.09
= (0.29, 0.47)