Answer:
The proportion of these light bulbs that will last less than the advertised time is 18.94% or 0.1894
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x - mean)/SD
= (1500-1550)/57 = -50/57 = -0.88
So the proportion we will need to find is;
P( z < -0.88)
We shall use the standard score table for this and our answer from the table is 0.1894 which is same as 18.94%
Answer:

Step-by-step explanation:
The sum of N consecutive natural numbers is given by:

We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:




Answer:
-4
Step-by-step explanation: if the signs are different subtract the values and take the sign of the larger number!
- - - - - -
+ +
Answer:
is this right
Step-by-step explanation:
This is a list of notable successful swims across the English Channel,[1] a straight-line distance of about 21 miles (34 km).[2]
Sum of interior angles of a triangle = 180°
x+40+30= 180°
x+ 70=180
x= 180-70
x= 110°