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kow [346]
3 years ago
5

Third-degree, with zeros of −5, −4, and 1, and a y-intercept of −15

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

y = 3/4( x+5)( x+4) ( x-1)

Step-by-step explanation:

The formula for the polynomial is

y = c( x- a1)( x- a2) ( x-a3)  where c is a constant and a1,a2,a3 are the zeros

We have zeros -5,-4 and 1

y = c( x- -5)( x- -4) ( x-1)

y = c( x+5)( x+4) ( x-1)

We have a y intercept of -15

That means x=0 and y = -15

-15 = c ( 0+5)( 0+4) ( 0-1)

-15 = c( 5) ( 4) (-1)

-15 = c( -20)

Divide each side by -20

-15/-20 = c

3/4 =c

The equation is

y = 3/4( x+5)( x+4) ( x-1)

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Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

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Substitute in the formula,

\bar{x}-2\sigma

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\bar{x}+2\sigma

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=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
3 years ago
Thomas calculates 9×7 by thinking avout it as 70-7=63. Explain thomas' strategy.
madam [21]
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