Solve for x. x² = 36 A)+36 B)+6 C)+3 D)36

Mathematics

1 answer:

Liula [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Square root both sides and you get x = plus or minus 6, because 6*6 = 36 or -6*-6 = 36.

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In each figure, a plane passes through a geometric solid as shown. For each figure, choose the shape of the cross section formed

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What is answers for this equation

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3 years ago

Please help me with 8, 9, and 10 thanks! Show work too

Harrizon [31]

In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
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9. (long side) / (short side) = x/7 = 9/x
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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$