The interval of filled bags is at confidence interval of 95%.
At 95% confidence interval, Z=1.96 (from Z tables).
But,
Z= (x-mean)/sd => 1.96 = (x-450)/20 => x (upper limit)= 20*1.96+450489 bags
Lower limit or minimum number bags to avoid replace= 450-1.96*20 =411 bags
Step-by-step explanation:
by using the pythagoras theorem,
the height of the ladder touching the wall =
√(20²- 4²)
=√ (400-16)
=√384
= 8√6 feet
or 19.6 feet
Speed = distance / time
speed = 170/2.5
speed = 68 km per hr
(-2,7) and (14,21)
Find the slope by using the formula

Plug in the numbers.

Write it in point slope form first
y - y1 = m(x - x1)
y - 7 = 7/8(x - -2)
y - 7 = 7/8x + 1.75
+ 7 +7
y = 7/8x + 8.75
Our final equation would be: <span>
y = 7/8x + 8.75</span>
Answer:
The measures of the angles are 50° and 130°
Step-by-step explanation:
Let
x ----> the measure of one angle
y ----> the measure of the other angle
we know that
If two angles form a linear pair , then their sum is equal to 180 degrees
-----> equation A
----> equation B
substitute equation B in equation A
solve for y

Find the value of x
The measures of the angles are 50° and 130°