Answer:
25
Step-by-step explanation:
Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.
Now we add the 4 expressions and set the sum equal to 94.
x + x + 1 + x + 2 + x + 3 = 94
4x + 6 = 94
4x = 88
x = 22
The youngest one is 22.
The oldest one is
x + 3 = 22 + 3 = 25
Answer: 25
Answer:

And we can use the z scoe formula given by:

And if we find the z score for the limits we got:


And this probability is equivalent to:

Step-by-step explanation:
For this case we can define the random variable X as "number of miles between services" and we know the following info given:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean
is given by:
We select a random sample size of n =44. And we want to find this probability:

And we can use the z scoe formula given by:

And if we find the z score for the limits we got:


And this probability is equivalent to:

Answer:
$11500
Step-by-step explanation:
Given
Tax amount=$1437.50
Tax percentaege=12.5%
So, we have to find the price of motorcycle whose 12.5% is 1437.50
Mathematically writing,
Let
x be the price of motorcycle without tax
then, the equation will be written as:
x*0.125=1437.50
x= 1437.50/0.125
x=11500
So the price of motorcycle without tax was $11500..
Answer:
Angeline will spend $70.77
Step-by-step explanation:
y = 8.09(5) + 3.79(8)
y= 30.32 + 40.45
y = 70.77