Answer:
<u><em>a) P(X=1) = 0.302526</em></u>
<u><em>b) P(X=5) = 0.010206</em></u>
<u><em>c) P(X=3) = 0.18522</em></u>
<u><em>d) P(X≤3) = 0.92953</em></u>
<u><em>e) P(X≥5) = 0.010935</em></u>
<u><em>f) P(X≤4) = 0.989065</em></u>
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<u><em>If helpful, please mark as brainliest! =)</em></u>
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
=======================================================
Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following
Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
Answer:
A=3x^2 -14x -5
Step-by-step explanation:
(x-5)(3x+1)
3x^2 +x -15x -5
3x^2 -14x -5
First we calculate the tax on the item:
11.4%($160) = 11.4(160)/100 = 18.24
hence the tax for the item is $18.24
The total price for the item would be:
160 + 18.24 = 178.24
hence the total price for the item including tax is:
$<span>178.24</span>
Answer: the answer is x=36
Step-by-step explanation:
Simplify \frac{1}{8}(x-4)
8
1
(x−4) to \frac{x-4}{8}
8
x−4
.
-\frac{x-4}{8}=-4
−
8
x−4
=−4
2 Multiply both sides by 88.
-x+4=-4\times 8
−x+4=−4×8
3 Simplify 4\times 84×8 to 3232.
-x+4=-32
−x+4=−32
4 Regroup terms.
4-x=-32
4−x=−32
5 Subtract 44 from both sides.
-x=-32-4
−x=−32−4
6 Simplify -32-4−32−4 to -36−36.
-x=-36
−x=−36
7 Multiply both sides by -1−1.
x=36
x=36
