Answer:
D. y = 1/2x + 3/2
Explanation:
You probably already know the point slope equation:
y = m(x - x₀) + y₀
All you need is the slope and the (x₀, y₀).
The (x₀, y₀) could be solved by plugging in the given x=-1 value into the function.
m, the slope, is the same as a derivative; ie. a derivative is a slope.
So solve for the derivative and find the slope at x=-1.
Plug into point slope equation and simplify.
Answer:
- <u><em>The standard deviation of the distribution is 1.5ºF.</em></u>
Explanation:
The known 68-95-99.7 rule, the empirical rule, states that, in a normal distribution 68% of the data are within one standard deviation from the mean, 95% of the data are within two standard deviations from the mean, and 99.7% are within three standard deviations:
- 68% ⇒ mean ± 1 standard deviation
- 95% ⇒ mean ± 2 standard deviations
- 99.7% ⇒ mean ± 3 standard deviation.
Hence, for the<em> approximately normal distribution of the daily high temperatures</em>,<em> with mean 86º</em>, and a range of <em>83ºF to 89ºF</em> for <em>95% of the data,</em> you can write:
- 86ºF ± 2 SD ⇒ 86ºF - 2 SD = 83ºF, and
- 86ºF ± 2 SD ⇒ 86ºF + 2SD = 89 ºF
Both equations will lead to the same result:
- 86ºF - 2 SD = 83ºF ⇒ 2 SD = 86ºF - 83ºF = 3ºF
SD = 3ºF / 2 = 1.5ºF
Also:
- 86ºF + 2SD = 89ºF ⇒ 2 SD = 89ºF - 86ºF = 3ºF
SD = 3ºF / 2 = 1.5ºF
Therefore, the standard deviation of the distribution is 1.5ºF.
Answer:
2x-15+11x=180
Explanation:
Both of the angles make up a straight angle, which is a total of 180 degrees. You basically add up both of the agles which make 180 and you solve from there.
I selected D on my quiz and scored a 100%
It's a never ending laundry list unfortunately
but jefferson listed 27 against king George iii
of them, 3 are as follows
1. He has refused his Assent to Laws, the most wholesome and necessary for the public Good.
2. He has forbidden his Governors to pass Laws of immediate and pressing Importance, unless suspended in their Operation till his Assent should be obtained; and when so suspended, he has utterly neglected to attend to them.
3. He has refused to pass other Laws for the Accommodation of large Districts of People; unless those People would relinquish the Right of Representation in the Legislature, a Right inestimable to them, and formidable to Tyrants only.