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3 years ago

Find the slope between the following points (-5,2) and (3,9)

Mathematics

1 answer:

Artyom0805 [142]3 years ago

7 0

Answer:

slope = 7/8

Step-by-step explanation:

$m = \frac{9 - 2}{3 - ( - 5)} = \frac{7}{3 + 5} = \frac{7}{8}$

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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0

3 years ago

the total cost of new automobile including 6% sales tax is $24542. how much of the total cost is sales tax

forsale [732]

% means out of 100 so If its 6% that = .06 then just multiply
$.06 \times 24542$

5 0

3 years ago

If the Volume of a Cone is 37.68inº and height is 9in, what is the diameter?

shtirl [24]

Answer:

37.68inº

Step-by-step explanation:

4 0

3 years ago

A scientest is studying a new super bacteria that is threatening to cause an outbreak. On the first day, there were 5 organisms

ElenaW [278]

Answer:

C. 125

Step-by-step explanation:

Given:

Bacteria on day 1 = 5

On day 2, each bacteria got split into 5.

So, number of bacteria on day 2 = $5\times 5 = 25$

Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.

So, number of of bacteria on day 3 = $25\times 5 =125$

Therefore, the population of bacteria on day 3 is 125.

8 0

3 years ago

I need to know this answer I've worked it out but not sure

a_sh-v [17]

See attached picture

7 0

3 years ago