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lubasha [3.4K]
2 years ago
5

Find the equation of the line with slope = -7 and passing through (-7,51). write your equation in the form y=mx+b

Mathematics
1 answer:
muminat2 years ago
4 0

Answer:

y = -7x + 2

Step-by-step explanation:

Since we do not have the y-intercept (or, when the x is 0) We will use the Slope Form Formula (y - y1 = m(x - x1)) to find the Slope Intercept Form Formula (y = mx + b)

Point: (-7,51)

Slope: -7

y - y1 = m(x - x1)

y - 51 = -7(x - (-7))

y - 51 = -7(x + 7)

y - 51 = -7x - 49

y = -7x - 49 + 51

y = -7x + 2

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A cylinder has a radius of 5 and height of 3. what is the volume
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236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = \pir²h   (where r = radius and h = height)

Therefore, volume = \pi x 5² x 3

                               = \pi x 25 x 3

                               = 75\pi

                               = 236 cubic units (to 3 significant figures)

8 0
2 years ago
suppose you ask your three friends how many cups of coffee they each drink each week. they report the following: 3 cups, 6 cups,
Viktor [21]

Answer: The mean is 9 cups, the median is 6 cups, and the total is 27.

Step-by-step explanation:

To calculate the mean, add up all values and divide by the amount of all the values: 3 + 6 + 18 = 27, 27/3 = 9. The median is the middle number, which is 6 in the set 3, 6, 18 (least to greatest). Finally the total is already 27. Hope this helps, please consider Brainliest (click on the crown).

4 0
1 year ago
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
3 years ago
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