Answer:
First find line DE using Pythagoras theorem
That's
DE² = 7² + 24²
DE = √ 49 + 576
DE = 25
The correct trigonometric ratio for triangle DEF is
Cos(E) = 24/25
Hope this helps
Answer:
B
Step-by-step explanation:
Starting with 7,000, after 0 years there will be no increase so you still have 7,000.
The fist year you increase by 5% of 7,000.
.05x7000=350
You have a 350 increase, add that to the original 7000 to find the actual population after 1 year (domain value 1).
After 1 year: 7350
For year 2 there is an increase of 5% again, only this time we find 5% of 7350 since that was the previous years population.
.05x7350=368
Add that to previous population.
368+7350=7718
At this point so far the yearly populations have been (7000, 7350, 7718)
Answer choice B is the only one to have this progression.
Answer:
Contradictrion
Step-by-step explanation:
First write an equation. If the total is 289, then that goes one the right side of the =. Sociology textbooks will be x. If there were 65 less than x, it will be 65-x. Lets set it up:
x + 65 -x =289
Then combine like terms.
65 = 289
There are no values of x that make the equation true. The input is a contradiction.
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This question is incomplete, the complete question is;
Suppose John is a high school statistics teacher who believes that watching many hours of TV leads to lower test scores. Immediately after giving the most recent test, he surveyed each of the 24 students in his class and asked them how many hours of TV they watched that week. He then matched each student's test grade with his or her survey response. After compiling the data, he used hours of TV watched to predict each student's test score. He found the least-squares regression line to be y" = -1.5x + 85.
He also calculated that the value of r, the correlation, was -0.61.
what is the correct value of the coefficient of determination R² and give a correct interpretation of its meaning
Answer:
Interpretation of coefficient of determination R² = 0.3721
R² = 0.3721, meaning 37.21% of the total variation in test scores can be explained by the least square regression line
Step-by-step explanation:
Given the data in the question;
the least square regression line is;
y" = -1.5x + 85
the correlation coefficient r = -0.61
Now, the coefficient of determination R² is square of correlation coefficient r
R² = -61²
R² = 0.3721
