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2 years ago

Given X(0, 2), Y(-2, 2), and Z(-2, 0), find the coordinates of X', Y', and Z' after a dilation with scale factor -4.

Mathematics

1 answer:

kotykmax [81]2 years ago

3 0

Answer:

what is the origin of the dilation?

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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.

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2 years ago

Cara is building a new dog house the roof is 10 4/5 feet long express this length as a decimal show work

scZoUnD [109]

Answer:

10.8 feet

Step-by-step explanation:

Multiply 4/5 by 2 on the top and bottom. Then you'll get 8/10 which is 0.8 as a decimal

7 0

1 year ago

Read 2 more answers

What fraction describes how much more of<br><br> the trail Jon hiked than Andrea hiked?

34kurt

What is the whole question

3 0

2 years ago

Maria had planned to walk 10 1/8 miles on wednesday, if she walked 7 2/8 miles in the morning how far would she need to walk in

Ugo [173]

Answer:

Distance Maria had to walk in the afternoon is $2\frac{7}{8}$

Step-by-step explanation:

Lets take that Maria walked $x$ miles in the afternoon.

Distance walked in the morning + distance walked in the afternoon = $10\frac{1}{8}$

⇒ $7\frac{2}{8} +x=10\frac{1}{8}$

$\frac{58}{8} +\frac{8x}{8} =\frac{81}{8}$

$\frac{58+8x}{8} =\frac{81}{8}$

$58+8x=81$

$8x=81-58\\$

$8x=23$

$x=\frac{23}{8}$

$x=2\frac{7}{8}$

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2 years ago

Nancy had 333 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost ?

MissTica

Answer:

35 dollars

Step-by-step explanation:333-18=315 dollars

315/9=35 dollars for each book

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2 years ago

Given X(0, 2), Y(-2, 2), and Z(-2, 0), find the coordinates of X', Y', and Z' after a dilation with scale factor -4. ​

Given X(0, 2), Y(-2, 2), and Z(-2, 0), find the coordinates of X', Y', and Z' after a dilation with scale factor -4.