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abruzzese [7]
3 years ago
12

The equation of line l is -3y+4x=9 Write the equation of a line that is parallel to line l and passes through the point (-12,6).

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Vera_Pavlovna [14]

Answer: Adrian will need to fix 25 bikes to reach a break even point.

3 0
3 years ago
Is 3/5 greater then 3/6
Tcecarenko [31]
Yes, for 3/5= 18/30 and 3/6= 15/30
4 0
3 years ago
Please help!!!! i dont understand these problems
slega [8]

Answer:

6) 48/52

7)48/73

Step-by-step explanation:

SohCahToa

  • Sine of an angle = Opposite side/Hypotenuse

  • Cosine of an angle = Adjacent side/Hypotenuse

  • Tangent of an angle = Opposite side/Adjacent side

These three operators can be thought of as ratios of certain sides of a triangle. A ratio is just a comparison of two quantities; or lengths of the sides in this case.

3 0
3 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the 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=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

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 heights of a population, and for this case we know the distribution for X is given by:

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the 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=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
3 years ago
Find the midpoint 10 and 20
Ann [662]
The mid point is 15 because it is in the middle of 10 and 20
6 0
3 years ago
Read 2 more answers
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