Answer:
8
Step-by-step explanation:
6(6) - 20 - 32 (1/4)
36 -20 - 8
16 - 8
8.
<h3>
Answer: 5</h3>
===================================================
Explanation:
Everywhere you see an x, replace it with -5. Then use the order of operations PEMDAS to simplify

Keep in mind that for the x^2 term, you are squaring all of x = -5, which includes the negative as well. So that means
x^2 = (-5)^2 = (-5)*(-5) = 25
but sticking a negative out front makes
-x^2 = -(-5)^2 = -25
You know this when the two values (x and y) are inversely proportional to each other by their product being constant (always remaining the same). This means when x increases y will decrease.
Hope this helped :)
Answer:
16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.
Step-by-step explanation:
We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.
Let X = <u><em>the breaking strength of its most popular porcelain tile</em></u>
SO, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z =
~ N(0,1)
where,
= mean breaking strength of porcelain tile = 400 pounds per square inch
= standard deviation = 12.5 pounds per square inch
Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)
P(X > 412.5) = P(
>
) = P(Z > 1) = 1 - P(Z
1)
= 1 - 0.84 = <u>0.16</u>
Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.
Answer:
Variant c
Step-by-step explanation:
c²=4*9
c=6
You can apply phyphagor
b²=6²+9²=36+81=117
