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2 years ago

Select the correct answer. How many solutions exist for | 0.5x+1|=5 ? A. 0 B. 1 C. 2 D. 3

Mathematics

2 answers:

Elodia [21]2 years ago

8 0

Answer:

Step-by-step explanation:

The absolute value function always gives a positive value, however the expression inside can be positive or negative, that is

0.5x + 1 = 5 ( subtract 1 from both sides )

0.5x = 4 ( divide both sides by 0.5 )

x = 8

- (0.5x + 1) = 5

- 0.5x - 1 = 5 ( add 1 to both sides )

- 0.5x = 6 ( divide both sides by - 0.5 )

x = - 12

There are 2 solutions to the equation

x = 8 or x = - 12

Neko [114]2 years ago

4 0

Answer:

the answer is one

Step-by-step explanation:

I used a calculator

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The area of the Pacific Ocean is 63,780,000 square miles. The Atlantic Ocean is 2.27 cross times 10 to the power of 7 square mil

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Answer:

4.11 * 10⁷ square miles

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

When a number is divided by -3, the result is 12 more than the number what is the number?

olga55 [171]

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3 years ago

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 $Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09$

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2 years ago