Answer:
Option D 
and 
Step-by-step explanation:
step 1
<u>Find the equation of the inequality A</u>
we know that
The solution of the inequality A (dashed line) is the shaded area below the dashed line
The equation of the dashed line is 
therefore
The equation of the inequality A is
step 2
<u>Find the equation of the inequality B</u>
we know that
The solution of the inequality B (solid line) is the shaded area below the solid line
The equation of the solid line is 
therefore
The equation of the inequality B is
The system of linear inequalities is
and
2 lollipops, 2 chocolates, and 4 smarties
Apply the "FOIL" method here. (m+1)(m+1) = m^2 + 1m + 1m + 1, or m^2 + 2m + 1.
Answer:
Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.
Step-by-step explanation:
We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.
Let X = <u><em>amount a Niffler can hold in their pouch</em></u>
So, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 25 pounds
= standard deviation = 6.8 pounds
Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)
P(X > 32 pounds) = P( > 
) = P(Z > 1.03) = 1 - P(Z 
1.03)
= 1 - 0.8485 = 0.1515
<em>The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.</em>
<em />
Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.
This looks one hundred percent correct to me and to check your answer you can plug in the answer you find to the first equation
17=37+4f
17=37+4(-5)
17=37-20
17=17
great job!!
