Scale factor is simply the ratio of sides of two corresponding figures
<em>The estimated scale factor is 1.5</em>
From the question, we have:
- The actual figure is AB
- The dilation is AC
- The center of dilation is A
So, the scale factor (S) would be:
The actual measurements are not given; so, we will make use of estimates
The estimates to use are:
So, the scale factor is:
Hence, the estimated scale factor is 1.5
Read more about scale factors at:
brainly.com/question/14793702
The given terms can be divided into two sections. First section is for the numbers and the second one for the letters.
1st section: 1, 2, 3, and 4
2nd section: I, L, F
I is the 9th letter in the alphabet, L is the 12th letter, and F is the 6th letter in the alphabet.
The pattern observed:
I to L: 12 - 9 = 3
L to F: 6 - 12 = -6
Next letter should be +9. This means that the letter should be 9 places higher than F. The letter should be O which is the 15th letter.
Answer:
Step-by-step explanation:
For this case we can use the moment generating function for the normal model given by:
And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:
And we have that the moment generating function can be write like this:
And we can write this as an infinite series like this:
And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:
and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:
And then we have this:
And then we can find the
And we can find the variance like this :
And first we find:
And then the variance is given by:
Answer:
B. 9.6 %.
Step-by-step explanation:
A = P e^rt
His investment doubles so it comes to 3000 * 2 = $6000.
Substituting in the formula>
6000 = 3000e^7.2r ehere r is the interest rate.
e^7.2r = 2
Taking logs
7.2r = ln 2
r = ln2 / 7.2
r = 0.096
So the rate is 9.6%.