Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Explnation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
I assume you meant to write 5^c = 125. The equivalent logarithmic expression for this would be ㏒₅125=c.
Answer:
he would have to order 3 steaks from the first company and 3 from the second
Step-by-step explanation:
Answer:
The larger of the two is 44.67
Step-by-step explanation:
let the first number=x
let the second number=y
We can derive a system of equations using the mathematical statements
Their sum is 33:
x+y=33( call this equation 1)
Sum of first number and four times the second is -2:
x+4y=-2(call this equation 2)
Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it
For this explanation, I choose to subtract equation 1 from 2
(x+4y=-2)-(x+y=33)=3y=-35
y=-35/3
Now plug in the value of y into any equation for that of x. Say we plug into equation 1
x+(-35/3)=33
x-35/3=33( multiply through by 3)
3x-35=99
3x=99+35
3x=134
x=134/3
Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67
Answer:
Regular hourly rate for Brandon is $30
Step-by-step explanation:
Let the payment for regular hours be $x
given that
Brandon is paid 150% of his regular hourly rate for overtime hours
payment for overtime hours = 150% of payment for regular hours
payment for overtime hours = 150/100 * x = 3x/2
Given that He is paid \$45.00 an hour for overtime hours
thus,
3x/2 = 45
=> x = 45*2/3 = 30
Thus, regular hourly rate for Brandon is $30
