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noname [10]
4 years ago
9

the linearized regression equation for an exponential data set is log y=0.23 + 0,08, where x is the number of years and y is the

population. what is the predicted population when x=12?
Mathematics
1 answer:
irga5000 [103]4 years ago
8 0

Answer:

Population = 691.83 (rounded = 692)

Step-by-step explanation:

The equation is:

Logy=0.23x+0.08

When there is no base written with log, we assume "base 10", so we can say:

Log_{10}y=0.23x+0.08

Now, we need to find the population (y) when x = 12. Lets plug in 12 into x:

Log_{10}y=0.23x+0.08\\Log_{10}y=0.23(12)+0.08\\Log_{10}y=2.84

Now, we change to exponential form by using the formula shown below:

Log_{10}x=b\\10^b=x

So, we have:

Log_{10}y=2.84\\y=10^{2.84}

Evaluate using calculator to get:

y=10^{2.84}\\y=691.83

The population after 12 years, would be 691.83, rounded, 692

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Answer:

11 months

Step-by-step explanation:

the math that i did was i kept adding 400 to 2500 and counted every four hundred that i added witch was 11 until i got to 7000 so the answer is 11 months. You will have some left over which you will have 300 left over.

8 0
3 years ago
Perform the indicated operation: (-1 1/2)(-3/2)
LiRa [457]

Answer:

=8 1/4 as a fraction or 8.25 in decimal form.

Step-by-step explanation:

The indicated operation is the product of the two fractions. Multiplication opens the brackets.

(-11/2)×(-3/2)

=(-11×-3)/(2×2)

=33/4

The negative signs before each term cancel out in multiplication and division.

=33/4 =8 1/4= 8.25

Choose 1 answer among the improper fraction, Mixed fraction or the decimal.

6 0
3 years ago
As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. If the true percenta
tresset_1 [31]

Answer:

The probability is 0.057797

Step-by-step explanation:

Consider the provided information.

It is given that true percentage of voters who vote for the proposition is 63%,

Let p is probability of success.

According to the binomial distribution:

P(x;p,n)=^nC_x(p)^x(1-p)^{(n-x)}

Substitute n=7, p=0.63 and x=2 in the above formula.

P(x;p,n)=^7C_2(0.63)^2(1-0.63)^{(7-2)}

P(x;p,n)=\frac{7!}{2!5!}(0.3969)(0.37)^{5}\\P(x;p,n)=21(0.3969)(0.37)^{5}\\P(x;p,n)=0.0577974947199\\P(x;p,n)\approx0.057797

Hence, the probability is 0.057797

8 0
3 years ago
What is 60 /−3 and how do you solve
SVETLANKA909090 [29]
The answer is -20 and you solve by putting it in the calculator
7 0
3 years ago
Read 2 more answers
Find (−3d2+10d−8)−(7d2−d−6). The difference is .
katovenus [111]

-10d^2 + 11d - 2

To find this, distribute the - to 7d^2 - d - 6.

This will give you a new equation of:

-3d^2 + 10d - 8 -7d^2 + d + 6

Combine like terms to get the answer above.

Hope this helps!

3 0
3 years ago
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