Can someone help me please <3

Mathematics

1 answer:

AVprozaik [17]3 years ago

8 0

Step-by-step explanation:

4(2x-3):reason - Distributive property

8x-12=:reason - addition property of equality

8x=40: reason - division property of equality

x=5: reason - given

hope this answer helps u.

please mark it as the brainliest

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A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte

Jlenok [28]

Answer:

Option B is the correct answer.

Explanation:

Current number of butterflies in the park = 20 thousand.

Rate of increase of butterfly population = 4% = 0.04

The population of butterfly after 1 year = 20+0.04*20 = 20*1.04

The population of butterfly after 2 years = 20*1.04 + 20*1.04*0.04 = 20*1.04*1.04

The population of butterfly after 3 years = 20*1.04*1.04 + 20*1.04*1.04*0.04 = 20*1.04*1.04*1.04

So, population of butterfly after n years = 20*(1.04*1.04*1.04* .... n times)

$= 20*1.04^n$

Option B is the correct answer.

6 0

4 years ago

Read 2 more answers

HELP MATH QUESTIONS!! WILL MARK CORRECT ANSWERS BRAINLIEST!! 40 POINTS!! DUE TODAY ASAP!!

yuradex [85]

Answer:

f(x) = 34.59 +3.74x
0.96
very strong
8.93

Step-by-step explanation:

1. The selection of answers offers a choice of positive or negative slope, a slope of about 4 or about 35, and y-intercepts from the same set of values.

If you consider a couple of points (at the ends of the domain is usually a good choice), you see the slope is about 4 and the y-intercept is around 30.

For example, the points (5, 50) and (15, 91) have a slope of (91-50)/(15-5) = 4.1 so will give rise to the equation ...

y -50 = 4.1(x -5)

Filling in x=0 gives y = 50 -20.5 = 29.5

So, the nearest of the offered choices is ...

f(x) = 34.59 +3.74x

Please note that no calculator is involved. We simply estimated the parameters of the regression line based on a couple of the data points. This estimate is sufficient to allow us to find the correct answer choice.

2. If we look at a few other data points, we see that they have a generally upward trend that matches the above equation pretty well. That suggests a very high value of correlation, so the appropriate choices would be 0.93 or 0.96. Of course, the correlation is positive, matching the sign of the slope of the regression line. (Since the data points do not fall exactly on a line, the correlation is not 1.00. My assessment is they fall close enough to the line to rate a correlation of .96 instead of .93.)

At this point, the output of your calculator can confirm that the correlation coefficient is closer to 0.96. Mine says r = 0.9624.

r = 0.96

3. We have already determined by examining the data points that the correlation is "very strong." The correlation coefficient of 0.96 confirms this.

4. Using the equation of part 1, we can find the number of study hours:

68 = 34.59 +3.74x

(68 -34.59)/3.74 = x ≈ 8.933

We expect a score of 68 is associated with about 8.93 study hours.

_____

Please note that we have used very little calculation to determine the answers to this question. The only requirement is a general understanding of what linear regression and correlation coefficients mean.