Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?

There are 52 playing cards in a standard deck of cards. If Patrica selects a card at random, what is the probability that it wil

Alisiya [41]

Since there are two black queens out of 52 cards, there is a 2/52 chance of drawing a black queen first. This is equivalent to a 1/26 chance.

Now that we have removed a black queen, there are 51 cards left in the deck. 26 of them are red because we only took away a black card. This means that there is a 26/51 of drawing a red card next.

In order to find the probability of both of these happening, we multiply the two together. 1/26 * 26/51 = 26/1326. This reduces to 1/51. So, there is a 1/51 chance of drawing a black queen, then a red card.

8 0

3 years ago

Y = 3x - 8 y = 4 - X

mihalych1998 [28]

Answer:

Step-by-step explanation:

Using substitution method.

y = 3x - 8 -------(i)

y = 4 - x -------- (ii)

Substitute y = 3x-8 in equation (ii)

3x - 8= 4 - x {Add x to both sides}

3x - 8 + x = 4 - x +x

4x - 8 = 4 {Add 8 to both sides}

4x = 4 + 8

4x = 12 {Divide both sides by 4}

x = 12/4

x = 3

Substitute x = 3 in Equation (i)

y = 3*3 - 8

y = 9 - 8

y = 1

5 0

3 years ago

Simplify (9-1)^5/(6+2)^3 Help

NikAS [45]

Answer:

64

Step-by-step explanation:

(9-1)^5 / (6+2)^3

8^5 / 8^3

32768 / 512

64

4 0

3 years ago

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per

Step2247 [10]

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

$\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right$

where x is the average number of employees in a group health insurance plan and y is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (in this case x) and the dependent variable on the vertical axis (in this case y). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the below table.

Step 2: Find the sum of every column:

$\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783$

Step 3: Use the following equations to find intercept a and slope b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~37.05 ~-~ 0.292 \cdot x\end{aligned}$

6 0

3 years ago

How do i write k times 8 is less than 48 as an algebraic expression

vredina [299]

The answer is 8k < 48

7 0

3 years ago

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