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3 years ago

The lines have the same slopes and the same y-intercepts.

Mathematics

2 answers:

Andrei [34K]3 years ago

8 0

Answer:

System A: The lines overlap.

System B: The lines never intersect.

System C: The lines intersect at a point not on the y-axis.

System D: The lines intersect at the y-intercept.

Step-by-step explanation:

Got them right.

MissTica3 years ago

7 0

Answer:

B is the correct answer

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B3%7Db%5E%7B5%7D%7D%7Ba%5E%7B4%7Db%7D" id="TexFormula1" title="\frac{a^{3}b^{5

aliina [53]

Answer:

b^4 / a

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

3 0

3 years ago

Find the value of the trigonometric ratio, cos M.

Montano1993 [528]

Answer:

The answer is option D.

Step-by-step explanation:

cos M = adjacent / hypotenuse

From the picture

b is the adjacent

x is the hypotenuse

cos M = b/x

Hope this helps you

3 0

3 years ago

What is the measure of z? an z= [?

Gemiola [76]

what to find

measure of z =1

7 0

3 years ago

Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

Schach [20]

Answer:

1) FALSE

2) FALSE

3) TRUE

4) TRUE

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 1

The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively.

The mean and the deviation for the normal standard distribution are:

$\mu=0, \sigma =1$

So then that's FALSE.

Part 2

Using the standard normal curve, the z−score representing the 10th percentile is 1.28.

We are looking for a value a, that satisfy this:

$P(X>a)=0.90$ (a)

$P(X$ (b)

We can find a z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.10 and P(Z>-1.28)=0.90

So that's FALSE.

Part 3

Let z1 be a z−score that is unknown but identifiable by position and area. If the symmetrical area between −z1 and +z1 is 0.9544, the value of z1 is 2.0

If we find this probability:

$P(-2.0< Z$

So on this case we can approximate to 0.9544. And that's TRUE.

Part 4

Using the standard normal curve, the z−score representing the 75th percentile is 0.67.

We are looking for a value a, that satisfy this:

$P(X>a)=0.25$ (a)

$P(X$ (b)

We can find a z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.67. On this case P(Z<0.67)=0.75 and P(Z>0.67)=0.25

So that's TRUE.

3 0

4 years ago

10. A weight hangs on a spring. The vibration period of that weight is the time in which it makes a complete cycle in motion. Su

Alenkinab [10]

The vibration period of the spring will be 0.2 seconds

Explanation

The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

$T= 2\sqrt{\frac{w}{200}}$

Given that, the weight(w) = 2.0 kilograms

So, plugging w = 2.0 into the above equation, we will get...

$T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2$

So, the vibration period of the spring will be 0.2 seconds.

8 0

4 years ago