Answer:
=3/4
Step-by-step explanation:
3 (c+d) 2c-2d
-------------- * -------------
(c-d) 8c+8d
Factor the right had term. The numerator can factor out a 2 and the denominator can factor out an 8.
3 (c+d) 2(c-d)
-------------- * -------------
(c-d) 8(c+d)
We can cancel the (c+d) in the numerator the left and the denominator on the right. We can cancel the (c-d) in the numerator on the right and the denominator on the left
3 2
-------------- * -------------
1 8
We can divide the fraction on the right by 2 on the top and bottom.
3 1
-------------- * -------------
1 4
=3/4
The equation given means it wants you to solve in the format y=mx+b, for a line. You can also know that by comparing the difference between each y-coordinates.
m is the slope. b is the y intercept (where x is zero, which is on the table).
The answer is y=6x-2
Tip - for finding the surface area of a triangle put two of them together so it forms a square find the area of that square and divide it by 2
Answer: D) a V shaped graph with vertex at(2,4) which opens up
Step-by-step explanation:
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>
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Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.