Find the equation of a line with slope 1/2 and y intercept -1

1 answer:

4 0

If you use slope-intercept form, Y =mx+b

m is equal to the slope,
and b is the y intercept.

Y= (1/2)x+ (-1)

or
Y = (1/2)x-1

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An inheritance of $40,000 is divided among three investments yielding $3,500 in interest per year. The interest rates for the th

a_sh-v [17]

Answer:

x = $ 16,000 , y = $13,000 z= $11,000

Step-by-step explanation:

given,

Investment amount $40,000

three investments yielding = $3,500

three investments are 7%, 9%, and 11%

second and third are $3,000 and $5,000 less than the first

0.07 x + 0.09 y + 0.11 z = $ 3,500

x + (x - 3000 ) + (x - 5000) = $ 40,000

3x = $48,000

x = $ 16,000

y = 16000 - 3000 = $ 13,000

z = 16000 - 5000 = $ 11,000

the investment by each

x = $ 16,000 , y = $13,000 z= $11,000

4 0

3 years ago

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900

ipn [44]

Answer:

The 34 week gestation's period baby weighs 0.11 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.24 standard deviations below the mean.

A. The baby born in week 40 does since its z-score is smaller.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

The zscore represents how many standard deviations the value of X is above or below the mean[/tex]\mu[/tex]. Whoever has the lower z-score weighs relatively less.

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams. A 34-week gestation period baby weighs 2700 grams.

Here, we have $\mu = 2800, \sigma = 900, X = 2700$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2700 - 2800}{900}$

$Z = -0.11$

A negative z-score indicates that the value is below the mean.

So, the 34 week gestation's period baby weighs 0.11 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 3400 grams and a standard deviation of 425 grams. A 40-week gestation period baby weighs 3300 grams.

Here, we have $\mu = 3400, \sigma = 425, X = 3300$