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satela [25.4K]
3 years ago
10

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0
What you must do in this case is to find the roots of the polynomial.
 We have then:
 x ^ 2 + 20x + 100 = 36
 Rewriting:
 x ^ 2 + 20x + 64 = 0
 The values of the roots are:
 x1 = -4
 x2 = -16
 Remember that the values of the roots are what make the polinome zero
 Answer:
 x1 = -4
 x2 = -16
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Pleaaaseee helpppp!​
xxMikexx [17]

Y=x2

Step-by-step explanation:

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3 years ago
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Item 6 Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last
tester [92]

Answer:

$8.40

Step-by-step explanation:

We can write a proportion to find the total amount last year using the information given. A proportion is two equivalent ratios set equal to each other.

\frac{125}{100}=\frac{10.50}{y}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

125(y)=100(10.50)

125y=1050

y=8.40


7 0
4 years ago
PLEASE ANSWER THANK YOU SO MUCH GUYS:)
babunello [35]

Answer:

  • We khow that the company charges 0.75 dollars to each ship
  • so c= 0.75* p
  • when the price is reduced the equaton will be :
  • c= 0.7*p

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4 years ago
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Lisa is mailing a letter to a friend. Postage costs $0.32 for the first ounce and $0.23 for the additional ounce. How heavy can
Advocard [28]

Answer: 8.3 ounces

Step-by-step explanation:

simple, there's a flat fee for 1 ounce, then 23 cents for each ounce following.

so $2 - $0.32 = $1.68

1.67 / 0.23 = 7.3 ounces

7.3 ounces + 1 ounces (from the flat fee we subtracted)

which equals 8.3

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
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