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mart [117]
2 years ago
14

Which formula is created by completing the square of the equation ax2+bx+c=0?

Mathematics
1 answer:
Nastasia [14]2 years ago
4 0
Quadratic equation is the correct answer since there are 2 x-terms which is the first where ax^2 and then bx which leaves a constant.
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Pl help it’s for a grade
True [87]
I think the answer is b
I hope this helps :)
5 0
3 years ago
Read 2 more answers
Write 16.985 0.006 and 0.238 in word form
alexgriva [62]
<span>sixteen and nine hundred eighty-five hundredths 
six-thousandths
two hundred thirty-eight hundredths</span>
7 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
Jay earns $5.90 per hour working at the ice cream parlor after school. He needs at least $236 for a stereo system. Choose the in
Studentka2010 [4]
40 hours at 5.90 a hour so 40 hours he would make 236
4 0
3 years ago
There are 18 tables at a party each table can seat six people complete the equation to show which operation to use and the total
galina1969 [7]

I can't complete the equation or the sentence because they have not been provided. However, I can write you an equation to model this situation.

Answer:

18x6=108

Step-by-step explanation:

If each table seats 6 people, there are 18 tables, and we are trying to find the total number of seated persons, it can be modeled as such:

tables x capacity of each table=total number of seated persons

plug in:

18x6=108

8 0
3 years ago
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