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2 years ago

Solve for w, x, and y. Show your work.

Mathematics

1 answer:

sveta [45]2 years ago

5 0

First of all, the left triangle is an equilateral triangle. Which means that all the interior angles are 60 degrees.

4w=60

w=15

Then all 3 sides are equal thus we can set up equation 3x-y=4y then simplify,

3x=5y

Going to the triangle on the right its isosceles we can set up equation 2x+50=180

2x=130

x=75

Substitute this back into equation above 3x=5y

5y=3*75

y=45

Therefore

x=75

y=45

w=15

Done!

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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = $25Cx 0.05^x0.95^{25-x}$ . Then,

(a) $P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})= 0.873$

(b) $P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007$

(c) $P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715$

(d) $P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277$

(e) E(X) = np = (25)(0.05) = 1.25 and $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

8 0

2 years ago

10 po

ozzi

Answer:

42.40

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 49.88 × 15/100

Discount = 49.88 x 0.15

You save = $7.48

Final Price = Original Price - Discount

Final Price = 49.88 - 7.482

Final Price = $42.40

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3 years ago

An extreme vehicle company buys off-roading 4-wheelers for $24,000. After a year, the 4-wheeler depreciates 8%. What is the amou

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Rewrite the percentage as a decimal:

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Multiply the previous result by 24000:

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7 months ago

Which inequalities are true? Check all that apply.

garri49 [273]

Answer: A , B, C, E

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A)√5 < 2.3<√62.24 < 2.3 < 2.45 True

B)√5 < 2.4<√62.24 < 2.4 < 2.45 True

C)√4 < √5 < √5.52 < 2.24 < 2.36 True

D)√8 < 3 < √92.83 < 3 < 3 False

E)√8 < 2.9 < √92.83 < 2.9 < 3 True

F)√4 < 4.5 < √52 < 4.5 < 2.24 False

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2 years ago

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9/50=18%
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2 years ago