Answer: X = 11
-33=11-4x
Subtract 11 from both sides.
-44=-4x
Divide by -4 on both sides.
11=x
Answer:
Step-by-step explanation:
Given that twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006).
considering the total number of vehicles, probability for a randomly drawn vehicle not covered by insurance = 0.23
Each vehicle can be treated as independent of the other
Hence X no of vehicles not covered by insurance is Binom with n = 35 and p - 0.23
a) the expected number of these automobiles that are not covered by insurance=E(x) =

b) the variance
=
Std dev = square root of variance = 2.4897
Answer:
15 pounds of onions are needed in the recipe.
Step-by-step explanation:
Total gallon of chopped onion needed for the recipe = 1 1/2 gallons
Solving the mixed fraction, we get

So, the chopped onion needed = 1.5 gallons
Also, 1 gallon = 160 ounces
So, 1.5 gallon = 1.5 x (160) ounces = 240 ounces
⇒ 1.5 gallon = 240 ounces
Now, 1 ounce = 0.0625 pounds
⇒ 240 ounces = 240 x 0.0625 pounds = 15 pounds
Hence, 15 pounds of onions are needed in the recipe.
Answer: The Cosine of A= 5/13 and the Tangent of A= 12/5
Step-by-step explanation:
Find the slope of the line that will go through point (4, 5) and (8, 9) first and then you can use the point-slope form to figure out the equation of the line. Since I am not sure what form of the equation they want, I will just provide you the point-slope form, standard form, and the slope-intercept form of the line.
The slope can be calculated by subtracting the difference of the y-coordinates of the two points and then dividing it by the difference of the x-coordinates.
(y_2 - y_1) / (x_2 - x_1) = slope
(9 - 5) / (8 - 4) = 4 / 4 = 1
The point-slope form is: y - y_1 = m(x - x_1)
Let's take the coordinate (4, 5) and use 4 for x_1 and 5 for y_1.
y - 5 = 1(x - 4)
The slope-intercept form is: y = mx + b
We can modify the point-slope form to look like the slope-intercept form.
y - 5 = 1(x - 4)
y = x - 4 + 5
y = x + 1
The standard form is: ax + by = c
We can modify the slope-intercept form to look like the standard form.
y = x + 1
y - x = 1
-x + y = 1
Point-slope form: y - 5 = 1(x - 4)
Slope-intercept form: y = x + 1
Standard form: -x + y = 1