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3 years ago

13

Fone the slope of a line that is perpendicular x = -12

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

m [slope] = 1/12

Step-by-step explanation:

If a line is perpendicular (90 degrees, forms a right angle) to another, the slope of the line must be an opposite reciprocal of the other. The opposite reciprocal of m is -1/m.

An opposite reciprocal is created by flipping the numerator and denominator, and making it negative.

Therefore, if m is -12 it's opposite reciprocal is -1/-12 = <u>1/12</u>.

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When there are few data, we often fall back on personal probability. There had been just 24 space shuttle launches, all successf

Stels [109]

Answer:

1

Step-by-step explanation:

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

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This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

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3 years ago

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kkurt [141]

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3 years ago

A diner asks patrons for their preference for waffles or pancakes and syrup or fruit topping.

prohojiy [21]

Answer:

$P (Waffles | Syrup)\neq P(Waffles)$

Step-by-step explanation:

From the table we have to:

Probability of syrup is 0.96

Probability of waffles and syrup is 0.32

P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)

So:

If this equality is met, the probabilities are dependent, if on the contrary

P (Wafles | Syrup) = P (Wafles) then are independent probabilities.

$P (Wafles | Syrup) = 0.32 / 0.96 = 0.333 \neq 0.32$

So we have to:

$P (Waffles | Syrup)\neq P(Waffles)$

The probabilities are dependent.

7 0

3 years ago

Read 2 more answers

Find the inverse f(x) = 4x+2

alexdok [17]

Answer:

Let's solve for x.

y=4x+2

Step 1: Flip the equation.

4x+2=y

Step 2: Add -2 to both sides.

4x+2+−2=y+−2

4x=y−2

Step 3: Divide both sides by 4.

4x/4=y−2/4

x=1/4y+ −1/2

Answer:

x=1/4y+ −1/2

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Step-by-step explanation:

4 0

3 years ago

Consider each of the following relationships. Which school shows the greatest rate of change between male and female students?

denis-greek [22]

Answer:

The greatest rate of change is for <u>school A</u> as it has the greatest ratio of 2.5

Step-by-step explanation:

School A:

Ratio of male to female students, $m_A=5:2=\frac{5}{2}=2.5$

School B:

Male students are related to female students by equation:

$y=2x$

Where, $x$ means number of female students and $y$ means number of male students.

Therefore, the ratio of male to female students is, $m_B=\frac{y}{x}=2$

School C:

Ratio of male to female students is, $m_C=\frac{\textrm{Number of male students}}{\textrm{Number of female students}}=\frac{200}{120}=1.67$

Now, rate of change of male to female students is directly proportional to the ratio of the two.

Hence, the greater the ratio, the greater the rate of change.

So, the greatest rate of change is for school A as it has the greatest ratio of 2.5

7 0

3 years ago