Recall your d = rt, distance = rate * time
so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.
now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".
so, 2hours and 36 minutes.
A unit circle has a radius of 1.
Θ = 600°
1 circle = 360°
Θ = 360° + 240°
(x,y) = cos 360° , sin 240°
(x,y) = -0.50 , -0.886
If these were the given choices:
<span>A.) -(3^(1/2))/2 B.)-1(2^(1/2))/2 C.)-1/2 D.) (3^(1/2))/2
</span>
x = C) - 1/2
y = A) -(3^1/2) / 2
Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as <em>Pearson's correlation</em> or <em>Pearson's R</em> is most commonly used in linear regression. The formula to calculate it is:
r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]
To find the value of R:
1) Separate the values of X and Y and out them in 2 columns.
2) Add 3 more columns: for xy, x² and y²;
3) Find the values of each column;
4) Add each column;
5) Put the sum of each column in its place on the formula above;
6) Find the correlation.
i) For this question, r = 0.9645. As it's <u>positive</u>, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.
ii) The Senator should distribute Norvasc to the old adults groups, because, as the <u>population grows</u>, the death associated with high blood pressure will <u>also grow</u>, as explained by the correlation coefficient.
Answer:
1 and -1
Step-by-step explanation:
The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.
Answer:
93
Step-by-step explanation:
The mean of a list of numbers is the sum of the numbers divided by the count of the numbers in the list.
In this case, representing the eighth score with x, the mean is (611+x)/8
Solving for the mean:
88=(611+x)/8
Multiply both sides by 8
8*88=611+x
704=611+x
704-611=x
x=93
