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2 years ago

Are the following lines parallel perpendicular or neither y=-5/3x - 5 and y=4/3x - 5

Mathematics

1 answer:

katrin [286]2 years ago

3 0

Answer:

neither

Step-by-step explanation:

For lines to be parallels the slopes must be equal, for the lines to be perpendicular the lines have to be inverse reciprocals meaning if you have a slope of 1/2X then the perpendicular line must be -2X

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Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{R-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

8 0

3 years ago

Read 2 more answers

Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?

Nana76 [90]

Answer: 180 miles x 3 hours = 540

540/2 = 270

270 is the average speed

Step-by-step explanation:

7 0

2 years ago

Steven wrote this equation. 4×18=418 Explain the error in Steven's reasoning. Find the correct product. Enter your explanation a

Thepotemich [5.8K]

Given:

Steven wrote this equation:

$4\times 18=418$

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

$4\times 18=418$

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

$4\times 18=4\times (10+8)$