8.75x=61.25
x represents the hours he worked
to get (x) you have to divide both sides by 8.75
so
×=7
Jose worked for 7 hours
Answer:
Total value: $2,100
Interest: $600
Step-by-step explanation:
We'll use the simple interest rate: A=P(1+rt).
A= final amount
P=initial principal interest
r=annual interest rate
t=time (years)
So all we have to do is plug in the values given from the question into the formula, which would look like this:
A=1,500(1+.10x4)
A=1,500(1.40)
A=2,100
Then to find the interest we subtract the final amount (2,100) by the initial amount (1,500), 2,100-1,500=600.
Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
Answer:
95%
Step-by-step explanation:
About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.
P(z1<Z<z2)=P(-2<Z<2)
P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)
P(-2<Z<2)=0.4772+0.4772
P(-2<Z<2)=0.9544
Thus, About 95% of the area is between z2 and z2
Answer:
D. 13
Step-by-step explanation:
well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-
x= -b±
/2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since 
= 
= 17. So b=13.
