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3 years ago

Line c passes through points (7, 10) and (5, 19). Line d is perpendicular to c. What is the slope of line d?

Mathematics

1 answer:

muminat3 years ago

3 0

Answer:

2/9

Step-by-step explanation:

slope of line C: (19 - 10) / (5 - 7) = - 9/2

line d perpendicular to Line C, slope of d: 2/9

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3-2(x + 1)=2x-7<br> SOLVE AND HOW MANY SOLUTIONS ?

jekas [21]

Answer:

Step-by-step explanation:

3−2(x+1)=2x−7

3+(−2)(x)+(−2)(1)=2x+−7(Distribute)

3+−2x+−2=2x+−7

(−2x)+(3+−2)=2x−7(Combine Like Terms)

−2x+1=2x−7

Step 2: Subtract 2x from both sides.

−2x+1−2x=2x−7−2x

−4x+1=−7

Step 3: Subtract 1 from both sides.

−4x+1−1=−7−1

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

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3 years ago

In a class there are two girls for every three boys. The ratio 2 : 3 compares the

alekssr [168]

Answer:

a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class

B. 12 boys

4 0

2 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

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2 years ago

What is the value of 1/3x-3/4 when x =1/4

satela [25.4K]

Answer:

The value of 1/3x-3/4 when x=1/4 is 0.08333 repeated.

Step-by-step explanation:

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3 years ago

10 + 10 =20<br> the answer is 20

Mice21 [21]

Answer:

YEP! YOURE CORRECT!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers