Answer:
Step-by-step explanation:
Since the life of the brand of light bulbs is normally distributed, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = life of the brand of lightbulbs
u = mean life
s = standard deviation
From the information given,
u = 1300 hrs
s = 50 hrs
We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as
P(1225 ≤ x ≤ 1365)
For x = 1225,
z = (1225 - 1300)/50 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is
0.06681
For x = 1365,
z = (1365 - 1300)/50 = 1.3
Looking at the normal distribution table, the probability corresponding to the z score is
0.9032
Therefore
P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364
Answer:
Step-by-step explanation:
2)
x + 14 
= -0.87
x + 
= - 
x + 
= -
x = - -
x = - 
3)
x -8 
= 1.5
x - 
= 
x = +
x = 
x = 
4)
x - 
= - 7 
x - 
= - 
x = - 
+
x = - 
5)
- x = 6 
= 
+ x
- 
= x
- 
= x
x = -
6)
-33.754 - x = 28.05
-33.754 - 28.05 = x
- 61.804 = x
x = - 61.804
Given:
To find:
The simplified rational expression by subtraction.
Solution:
Let us factor 
. It can be written as 
.
using algebraic identity.
LCM of 
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.
Now, denominators are same, you can subtract the fractions.
Expand 
.
Answer: -9/20 is equal to -9/10 when divided by 3/6 (1/2)
Step-by-step explanation:
- Begin by reducing the fraction you're dividing with. In this case 3/6 can be reduced to 1.2, also known as 0.5
- Beginning with -9/20, as it is the first answer option, we can put the problem into the following equation: -9/20 * 2/1 = -9/10.
It is always good to verify all of your answer options are not possible answers. However, in a question like this, the math evenly works out in most cases, eliminating any other possible answer options.
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It important to do quadratics because it is used to find the curve objects when they fly through the air
