Answer:
40 months
Step-by-step explanation:
Since it takes him 2 months to drive 15,000 miles
He drives 7,500 miles/month (15,000 miles / 2months)
Dividing the total distance by his speed yields the time it takes to drive that distance
300,000 miles / 7,500 miles/month = 40 months
13 because 8 is bigger than 5 so that 9 becomes a 0 and the 0s don't mean anything
8.6 is the answer for you
Answer:

Step-by-step explanation:
Supongo que te refieres a ''despejar'' la variable.

Primero, aisla los terminos independientes en la derecha y los que tienen variables, en la izquierda. En este caso, el 3 es independiente y no está en la derecha. Para poder moverlo, debo hacer la operación contraria. Por ejemplo, está siendo sumado, para ponerlo del otro lado, lo voy a restar.

Resuelvo;

Ahora, tengo un -9 multiplicándome la variable x, para poder deshacer esta multiplicación y dejar la variable sola, debo hacer la operación contraria; es decir, dividir por -9.

Resuelvo;

Y, si ya no se puede seguir, este sería mi resultado.
Para comprobar si es correcto, reemplazo en la ecuación original por el valor que ya he encontrado y las respuestas deben ser iguales.

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.