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2 years ago

3.01 Discussion: Two-Variable Linear Equations and Inequalities

Mathematics

1 answer:

hichkok12 [17]2 years ago

7 0

3.01 ————————————————————-

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For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

3 years ago

Please help me!

Alex73 [517]

<h3>Answer: angle T = 70</h3>

======================================

Work Shown:

Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).

Draw diagonal line segment TR. This forms triangles TUR and TSR.

Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,

angle U = angle S = 90

--------------

Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.

(angleU)+(angleR)+(angleS)+(angleT) = 360

90+110+90+x = 360

290+x = 360

290+x-290 = 360-290 ... subtract 290 from both sides

x = 70

<h3>angle T = 70</h3>

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3 years ago

Alyssa accepted a new job at a company with a contract guaranteeing annual raises. Alyssa will get a raise of $4000 every year a

Ksivusya [100]

Answer:

S = 4000n + 4500

Step-by-step explained

S = 4500

N = 0

Slope = 4000

Answer - S=4000n + 45000

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3 years ago

When the distributive property is applied, which number completes the statement correctly?

maxonik [38]

-7, because you distribute it to both -4 and 3.2, which means you're multiplying it to both.

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3 years ago

At the end of last year mark odometer reads 74,924 miles.at the end of this year , his odometer. reads 90,405 miles. How many mi

maks197457 [2]

Mark drove 165,329 miles year

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3 years ago