Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
2 answers:
Hi there! :)
<u>Answer:</u>
20% of the money she saved last year was saved during the month of January.
Step-by-step explanation:
Marie saved $3,000 last year.
She saved $600 in the month of January.
SO, Marie saved:
In order to answer your question, you'll need to use the cross product method (because you want to have a percentage, which is on 100 and not on 3,000 like we have right now):
<u>(100 × 600)</u> ÷ 3,000 = x
<u>60,000 ÷ 3,000</u> = x
<u>20 = x</u>
There you go! I really hope this helped, if there's anything just let me know! :)
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Answer:
The equation is found to be:
y(20) = 1241.34
Step-by-step explanation:
The given data is:
x: 3 7 11 14 17
y: 83 142 301 450 722
Now, we find sum summation values, relevant to the formula of exponential regression model, using calculator:
∑ ln y = 27.77305, ∑x ln y = 308.1494, ∑x = 52, ∑ x² = 664
and, n = no. of data points = 5
Now, we use formulae of exponential regression model to find out values of constant:
b = (n∑x lny - ∑x ∑ln y)/[n∑x² - (∑x)²]
b = [(5)(308.1494) - (52)(27.77305)]/[(5)(664) - (52)²]
b = 0.16
Now, for a;
a = (∑ln y - b∑x)/n
Therefore,
a = [(27.77305) - (0.16)(52)]/5
a = 3.9
For, α:
α = e^a = e^3.9
α = 50.6
So, the final equation of exponential regression model is given as:
Now, we find value of y for x = 20:
y(20) = (50.6) e^(0.16*20)
<u>y(20) = 1241.34</u>
Answer: The probability that a gene is of type A is 0.29.
Step-by-step explanation:
Let A be the event of type A.
Let B be the event of type B.
Let D be the event of dominant.
So, P(B and D) = 0.22
P(D|B)=0.31
So, Using the conditional probability, we get that
So, the probability that a gene is of type A is given by
Hence, the probability that a gene is of type A is 0.29.