Which is the slope of the line described by the equation below? y-5=3(x-17)

The slope is 3 and the y intercept is -46

Step-by-step explanation:

Y-5=3(X-17)

We need to get this in slope intercept form  y= mx+b

Distribute the 3

y-5 =3x-51

Add 5 to each side

y-5+5 =3x-51+5

y = 3x-46

The slope is 3 and the y intercept is -46

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

#substitute the given values in the formula to solve for P:

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.