Answer:
To find the point of intersection, just solve for x and y in the equations
so since x - y = -5
x = y - 5
now that we have a value of x, we will substitute x with in in the other equation
<em>5x + 3y = -9</em>
<em>5(y-5) + 3y = -9</em>
<em>5y - 25 + 3y = -9</em>
<em>8y = 16 </em>
y = 2
now use this value of y in the equation we made for x
<em>x = y - 5</em>
<em>x = 2 - 5</em>
x = -3
Hence, the point of contact is (-3 , 2)
Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Answer:
2.8
Step-by-step explanation:
14 divided by 5=2.8
Hope this helps you! <3
Answer:
So the answer is 14 seconds.
Step-by-step explanation:
Median means the number in the middle, and 17 and 11 are in the middle. Because there's 2 numbers in the middle, you need to average them to find the answer.
17+11=28
28 / 2= 14. So the answer is <u>14 </u><u>seconds</u>.
10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0
10x = 0
x = 0 <== this one is eliminated because x cannot be zero
x - 5 = 0
x = 5 <== ur answer
