Answer:
49
Step-by-step explanation:
substitute b = - 6 and c = 7 into the expression and evaluate
c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49
Answer:
(1,2) is a solution to both equations
Step-by-step explanation:
To determine if (1,2) is a solution to both equations, substitute into the equation and see if it is true
2x+y =4
2(1) + 2 =4
2+2 =4
4=4
true
y =3x-1
2 = 3(1) -1
2 =3-1
2=2
true
Since both statements are true
(1,2) is a solution to both equations
In this item, we are tasked to determine the calculation that can be done in order to determine the length or width of the painted mural in each striped area. This can be done by dividing the total length by the number of stripes as shown in the equation below.
Length per stripe = Total length / number of stripes
Length per stripe = 15 yards / 96 stripes
= 0.15625 yard/stripe
Answer:
$118.22
Step-by-step explanation:
Subtract $130.00-$8.00= $122.00
Then subtract $122.00- $3.78 = $118.22
Answer:
The probability that there will be a total of 7 defects on four units is 0.14.
Step-by-step explanation:
A Poisson distribution describes the probability distribution of number of success in a specified time interval.
The probability distribution function for a Poisson distribution is:

Let <em>X</em> = number of defects in a unit produced.
It is provided that there are, on average, 2 defects per unit produced.
Then in 4 units the number of defects is,
.
Compute the probability of exactly 7 defects in 4 units as follows:

Thus, the probability of exactly 7 defects in 4 units is 0.14.