The mean for the howler monkeys is 17 and the MAD is 0.8571.
The mean for the spider monkeys is 14 and the MAD is 1.1429.
The means-to-MAD ratio is 2.6249.
This means that on average, the number of mean absolute deviations that separate the means is 2.6. This means they are different.
To find the mean of the howler monkeys, add all of the data values and divide by 7:
<span>(15+16+17+17+17+17+18+19)/7 = 119/7 = 17
To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:
(|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7
=(2+1+0+0+0+0+1+2)/7=6/7 = 0.8571
Repeating these processes for the spider monkeys:
Mean:(</span><span>12+13+13+14+14+14+16+16)/7 = 98/7 = 14
</span>MAD:
(|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7
=(2+1+1+0+0+0+2+2)/7 = 8/7 = 1.1429
To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:
17-14=3; 3/1.1429 = 2.6249
Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
Answer:
D) 3/2(X-4)
Step-by-step explanation:
Invert and multiply to get:
3(x+4)/2(x²-16)
factor the bottom
3(x+4)/2(x+4)(x-4)
The (x+4)’s cancel out, and you’re left with
3/2(X-4)
Answer: 2, 3, square root 13
Step-by-step explanation:
Use the Pythagorean Theorem (a^2 + b^2 = c^2)
2^2 = 4
3^2 = 9
4 + 9 = 13
Square root of 13 is c
Answer:
Equation;
(3/4)x = 2/3
Solving;
x = 8/9
she would need 8/9 of her sugar to make a full batch.
Step-by-step explanation:
Let x represent the amount of sugar that would be needed to make the whole batch.
Given that;
Pia used 2/3 of her sugar to make 3/4 of a batch of cookies.
Since 2/3 of her sugar is needed to make 3/4 of a batch of cookies, then;
(3/4)x = 2/3
Solving the equation, dividing both sides by 3/4;
(3/4)x ÷ 3/4 = 2/3 ÷ 3/4
x = 2/3 × 4/3
x = 8/9
Therefore she would need 8/9 of her sugar to make a full batch.