A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the f
ollowing associations were observed the linear model P(1) - 2,376 + 73,219 can
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.
1 answer:
Using linear function concepts, it is found that the correct statements are given by:
- The number of biology degrees increases by about 2,414 each year after 2000.
- About 73,000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.
In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:
P(t) = 2,376t + 73,219.
For biology, the amount is given by:
B(t) = 2,414t + 56,545.
Then, the true statements are given by:
- The number of biology degrees increases by about 2,414 each year after 2000.
- About 73,000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
More can be learned about linear function concepts at brainly.com/question/24808124
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If the vectors are 4i-6j and -i-5j then the angle between both the vectors is approximately 45°.
Given two vectors be 4i-6j and -i-5j.
We are required to find the angle between vectors 4i-6j and -i-5j.
A vector is basically an equation involving a linear combination of vctors with possibly unkown coefficients. Vector is basically a quantity that has both magnitude and direction but not possition.
Angle is basically measure of inclination of something with the surface.
The angles between two vectors can be find out by the following formula:
cos Θ=[dot product of both the vectors/(product of magnitude of both the vectors)
cos Θ=[4*(-1)+(-6)*(-5)]/
cos Θ=(-4+30)/
cos Θ=26/
cos Θ=26/26.77
cos Θ=0.7070
Θ=(0.707)
Θ=45.008
Approximately 45°.
Hence if the vectors are 4i-6j and -i-5j then the angle between both the vectors is approximately 45°.
Learn more about vectors at brainly.com/question/25705666
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