a. 3 × 10^0
b. 33. 6 × 10^0
c. 57. 6 × 10^2
d. 4. 0 × 10^-7
e. 7. 0 × 10^-1
<h3>What is scientific notation?</h3>
Scientific notation is simply a way of expressing numbers that are too large or small to be written in decimal form.
It may be referred to as standard index form or scientific form.
From the information given, we have;
a. 0. 000003 is written in standard form as;
= 3 × 10^-6 × 3 × 10^6
= 3 × 10^-6 + 3
= 3 × 10^0
= 3
b. 56, 000, 000. 00 is written in standard form as;
= 5. 6 × 10^7 × 6 × 10^-7
= 33. 6 × 10^7 -7
= 33. 6 × 10^0
= 33. 6
c. 8. 0 × 10^-3 × 7. 2 × 10^5
= 57. 6 × 10^-3 + 5
= 57. 6 × 10^2
d. 4. 0 × 10^-3 × 4. 0 × 10^-4
= 4. 0 ^ -3 +(-4)
= 4. 0 × 10^-7
e. 7. 0 × 10^3 × 7. 0 × 10^4
= 7. 0 × 10^ 3-4
= 7. 0 × 10^-1
Thus, scientific notation is also referred to as standard form.
Learn more about scientific notation here:
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Answer:
x=2
Step-by-step explanation:
-3 = -2x +1
+3 +2x = +2x +3
2x=4
divide them both by 2
x=2
<h2>
The required "option D) 3.09" is correct.</h2>
Step-by-step explanation:
Given,
A portfolio has a E[r] = 12 %, and
A standard deviation (
) = 18 %
We know that,
Specify utility by U = E(r) – 0.5A
U = 0.12– 0.5(A) × 
= 0.12 - 0.5 × A × 0.0162
In order for the risky portfolio to be preferred to bills,
The following condition must have:
0.12 – 0.0162A > 0.07
⇒ A <
= 3.09
A must be less than 3.09 for the risky portfolio to be preferred to bills.
Thus, the required "option D) 3.09" is correct.
Answer:
old mcdonald had a farm eee aye eee aye oooh
Step-by-step explanation:
And on that farm there was a dinosaur eee aye eee aye oooh with a RAwR RawR here and a rAWr RAWR there here a RawR there a rawR everywhere a RAwr rAWR ol mcdonald had a farm ee aye ee aye ohhhhhhhh
Answer: 169.2 per acre are produced if a field is in the top 25%.
Step-by-step explanation:
Given: The mean rain-fed corn yield of harvested fields are normally distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.
Let X denote the mean rain-fed corn yield of harvested fields.
Let x denotes the number of bushels per acre are produced if a field is in the top 25%.
Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.
I.e.
.
Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]
Then, 

Here approx value is 169.2 (from options).
So, 169.2 per acre are produced if a field is in the top 25%.