Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
The value of x is the number of 3-point questions, and the value of y is the number of 5-point questions, as the problem statement tells you. So, the solution (x, y) = (10, 14) indicates ...
"The test contains 10 three-point questions and 14 five-point questions."
_____
You can try the offered answers to see which might apply. The last choice has too many questions. The first and third choices don't add up to 100 points.
Answer:
5
Step-by-step explanation:
Z = 25/5
in simplest form........
25/5 = 5/1
so the answer is 5.
Answer: A
Step-by-step explanation:
A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.
B.) the substitution and income effects would both predict Ethan would consume less of both goods.
C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.
D.) the substitution and income effects would both predict Ethan would consume more of both goods.
If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.
A global efect of a certain good (X) price rise can be divided into 2 efects:
- substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
- income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.
So, answer is A.
Answer:
The answer is 23 years.
Step-by-step explanation:
We will use the formula :

Here P = 220
r = 3%
A = 400
Putting these values in the formula we get,


Taking log on both sides,
ln(1.03)t=ln 2

t=23.44 or rounding to nearest, t=23 years
The graph of the function can be shown as below.
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: height of seaweed.
X~N(μ;σ²)
μ= 10 cm
σ= 2 cm
You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X≤x)= 0.30
P(X≥x)= 0.70
Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.
P(Z≤z)= 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X-μ)/σ
Z*σ= X-μ
X= (Z*σ)+μ
X= (-0.52*2)+10= 8.96
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm
I hope this helps!