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3 years ago

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What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural

Number Natural Number Whole Number

1 answer:

Aleksandr [31]3 years ago

4 0

Answer:

1/3 is a rational number

Step-by-step explanation:

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2 years ago

Read 2 more answers

The probability that a certain kind of component will survive a shock test is 3/4. Find the probability that exactly 2 of the ne

Marina86 [1]

Answer:

Therefore the required probability is $=\frac{27}{128}$

Step-by-step explanation:

The probability of success is $\frac{3}{4}$

The number of trial = 4

X= the items survive out of 4

$P(x=r)=^nC_rq^{n-r}p^r$ p =the probability of success and q = the probability failure.

p= $\frac{3}{4}$ and $q=(1-\frac{3}{4})=\frac{1}{4}$

$\therefore P(X=2)=^4C_2(\frac{1}{4} )^2(\frac{3}{4} )^2$

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$=\frac{27}{128}$

Therefore the required probability is $=\frac{27}{128}$

3 0

3 years ago

Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Whic

Ad libitum [116K]

Answer:

$y = -\frac{1}{5}x + 5$

Step-by-step explanation:

Given

$5\ minutes = 4\ miles$

$15\ minutes = 2\ miles$

Required

Determine the equation

y represents distance

x represents time

So, the given parameters can be modeled (x,y) as:

$(x_1,y_1) = (5,4)$

$(x_2,y_2) = (15,2)$

First, we need to determine the slope of the function.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{2 - 4}{15 - 5}$

$m = \frac{-2}{10}$

$m = -\frac{1}{5}$

The equation can be determined using:

$y - y_1 = m(x - x_1)$

Where

$m = -\frac{1}{5}$

$(x_1,y_1) = (5,4)$

$y - y_1 = m(x - x_1)$

becomes

$y - 4 = \frac{-1}{5}(x - 5)$

Open bracket

$y - 4 = -\frac{1}{5}x + 1$

Solve for y

$y = -\frac{1}{5}x + 1 + 4$

$y = -\frac{1}{5}x + 5$

7 0

3 years ago