Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
= +
= +
= 36 + 25
= 61
x =
= 7.81
let the length of the diagonal support be represented by l. So that;
= +
= +
= + 64
l =
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Answer:
a) the probability that Company A will get the discount is 0
b) the probability that Company B will get the discount is 0.2753
c) the probability that Company C will get the discount is 0.9986
Step-by-step explanation:
a) Let p(m) be the <em>minimum</em> proportion of workers needed at Company A who use public transportation to get to work in order the company can get discount offer by the transit authority.
Then ≈ 0.1031
The probability that Company A will get the discount can be stated as
P(z>z*) (p-value of z*) where z* is the z-score of 0.103 in the distribution of proportion of workers in the city who use public transportation to get to work.
z* can be calculated using the equation
where
- p(m) is the minimum proportion needed for company A get discount (0.1031)
- p is the proportion of workers in the city who use public transportation to get to work (0.05)
- N is the number of employees of Company A (291)
Then z*= ≈ 4.15
P(z>4.15)=1-P(z<4.15)=1-1=0
b) for Company B:
≈ 0.0556
z*= ≈ 0.597
P(z>0.597)=1-P(z<0.597)= 1-0.7247=0.2753
c) for Company C:
≈ 0.0296
z*= ≈ -2.979
P(z>-2.979)=1-P(z<-2.979)=1-0.0014=0.9986
Answer:
D.) 5x - 2y = 2
Step-by-step explanation:
1. Find all of the options and convert them to slope-intercept form by isolating y. If you isolate y on all of them, you should get that A is y =-2/5x - 1, B is y = 2/5x - 1, C is y = -5/2x - 1, and D is y = 5/2x - 1.
2. Use logic. This line cannot be negative, because negative lines go up to down, not down to up. That cancels out the possibility of A.) and C.) being answers. Now, we know that the slope has to be more than 1 because it is more compressed than that of a line with a slope of 1. The only slope that is more than 1 is D, so that makes D the answer (If you didn't understand this step, go to step 3).
3. Find the slope (This step does not need to be done if you understood Step 2). Take 2 points to be able to find the slope. Two random points on this line are (2,4) and (0,-1). Next, plug them into the formula to find slope. 4-(-1)/2-0 = 5/2, so the slope is 5/2. The only equation with a slope of 5/2 is D. D is the answer.
Answer: D.) 5x - 2y = 2
Answer:
Step-by-step explanation:
If there is 8 lb of soil and he is dividing it among 5 pots, then there is
8/5 pounds of soil in each pot. That is, as a mixed fraction, 1 3/5