What is the point slope equation of the line with slope -12 that goes through the point (5,3)

Mrs smith bought a.box of 10 cupcake she ate 30% of the cupcake how many did she eat

iogann1982 [59]

Answer:

3 Cupcakes

Step-by-step explanation:

First, multiply the percentage, 30, times the number of cupcakes, 10, ad you get 300. Then, divide that by 100, and oyu get your answer, 3 cupcakes.

*Or since this form of equation is in a simpler form of 10 cupcakes, just get rid of the percentage sign and the 0 in 30%. I hope this helps :)

4 0

3 years ago

Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f

melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 138.5, \sigma = 29$

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use $Z = 2.325$

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

$2.325 = \frac{X - 138.5}{29}$

$X - 138.5 = 29*2.325$

$X = 205.92 = 206$

For the 99th percentile, we have X = 206 seconds.

4 0

3 years ago

What is (x+6)(x+4)(x-3) expand and simplify

mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0

3 years ago

Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t

ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0

3 years ago

Read 2 more answers

The diameter of a circle endpoints are A(-1, 5) and B(4,-3). Use the midpoint formula to find the coordinates of the center of c

mina [271]

Answer:

centre = ( $\frac{3}{2}$ , 1 )

Step-by-step explanation:

using the midpoint formula

midpoint = [ $\frac{1}{2}$ (- 1 + 4), $\frac{1}{2}$ (5 - 3) ] = ( $\frac{3}{2}$ , 1 )

6 0

3 years ago