Answer:
29 : 8
.........................
Answer:
She should offer a guarantee of 13.76 years.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that 
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.




She should offer a guarantee of 13.76 years.
Answer: x = 10;
Both the angles are congruent, therefore;
8x - 12 = 6x + 8
=> Now subtract 6x from each side of "="
2x - 12 = 8
=> Add 12 to each side;
2x = 20
=> Lastly divide each side by 2;
<u>x = 10</u>
Hope this helps!
Yes, because every x-value corresponds to exactly one y-value
Answer:
Multiply the first equation by 3 and multiply the second equation by -2.
This is justified by the multiplication property of equality
Step-by-step explanation:
we have
----> first equation
----> second equation
step 1
Multiple the first equation by 3 both sides
-----> by multiplication property of equality
----> new first equation
step 2
Multiple the second equation by -2 both sides
-----> by multiplication property of equality
----> new second equation
step 3
Solve the system of equations by elimination
Adds new first equation and new second equation

Find the value of x
substitute the value of y in any equation and solve for x
The solution is the point 
therefore
Multiply the first equation by 3 and multiply the second equation by -2.
This is justified by the multiplication property of equality