Answer:
p(on schedule) ≈ 0.7755
Step-by-step explanation:
A suitable probability calculator can show you this answer.
_____
The z-values corresponding to the build time limits are ...
z = (37.5 -45)/6.75 ≈ -1.1111
z = (54 -45)/6.75 ≈ 1.3333
You can look these up in a suitable CDF table and find the difference between the values you find. That will be about ...
0.90879 -0.13326 = 0.77553
The probability assembly will stay on schedule is about 78%.
Answer:
k = 5,
y = 5x
Step-by-step explanation:
If y is proportional to x,
y ∝ x
Then the equation will be
y = kx
Her k = proportionality constant.
Now we choose a point from the given table.
Let the point is (2, 10).
By putting the values of x and y in the equation,
10 = 2×k
k = 
k = 5
This will be true for any point we choose from the table.
And the equation will be y = 5x
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
135inches2
Step-by-step explanation:
by multiplying both length and width you can get the sum
Answer:
1 pear = $0.45
1 mango = 1.5
Step-by-step explanation:
8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10
5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25
multiply first equation by -4 and second one by 5
-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4
5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25
add both equations up
-32p - 20m + 25p + 20m = 44.4 + 41.25
-7p = 3.15 ➡ p = $0.45
use this value to find the price of mango
5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
