$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-0}{0-(-3)}\implies \cfrac{1}{0+3}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{3}[x-(-3)] \\\\\\ y=\cfrac{1}{3}(x+3)\implies y=\cfrac{1}{3}x+1$

3 0

2 years ago

4. Find the value of sin 34°. Round to the nearest ten-thousandth.

gizmo_the_mogwai [7]

Answer:

Option D is correct.

Step-by-step explanation:

We need to find the value of sin 34°.

We can find the value by putting it in the calculator

sin 34° = 0.5592

So, Option D is correct.

5 0

3 years ago

A certain candle is designed to last nine hours. However, depending on the wind, air bubbles in the wax, the quality of the wax,

Ierofanga [76]

Answer:

Step-by-step explanation:

a) P(X > 6) = (9.5-6)/(9.5-5.5) = 3.5/4 = 0.875

b) P(X < 7) = (7-5.5)/(9.5-5.5) = 1.5/4 = 0.375

c) E(X) = (9.5+5.5)/2 = 7.5

Standard deviation = (9.5-5.5)/sqrt(12) =4/3.46 = 1.154

P= 1.156*2/(9.5-5.5) = 2.308/4 = 0.577

d) P(X > t) = 0.25

(9.5-t) /(9.5-5.5) = 0.3

9.5-t = 1.2

t = 9.5-1.2 = 8.3

5 0

3 years ago