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3 years ago

Find the slope of the line whose equation is 0.05x - 0.03y = 9.

Mathematics

2 answers:

alexdok [17]3 years ago

7 0

Slope intercept is 5/3

trapecia [35]3 years ago

5 0

Using the slope-intercept form (y=mx+b) the slope is:
1.66666666

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Answer:

14 squared

Step-by-step explanation:

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2 years ago

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What is the greatest common factor and least common multiple of 45 75 and 90?

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15 and 450 because you divide and multiply until you get the same number

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3 years ago

A student earns $11.75 per hour for gardening. if she worked 21 hours this month, then how much did she earn? show work

ankoles [38]

Answer:

$246.75

Step-by-step explanation:

A student earns $11.75 for 1 hour

If she works for 21 hours this month then the total amount earned can be calculated as follows

= 11.75 × 21

= 246.75

Hence the total amount earned this month is $246.75

4 0

2 years ago

What is the slope of the line that contains these points?x 15,17,19,21 y -10,2,14,26

9966 [12]

Answer:

Step-by-step explanation:

The slope (m) can be found using the formula ...

m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

m = (2 -(-10))/(17 -15) = 12/2

m = 6

The slope of the line is 6.

8 0

3 years ago

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

3 years ago