Let's imagine that we have in the deck 52 cards. So what we need to do is to make a kind of "progression".So let me explain this by doing the procedure. we can use is like this:
4/52 * 3/51 * 2/50 * 1/49 =
24 / 6497400 = 
1 / 270725 
3.694e-6

8 0

3 years ago

A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y

Nuetrik [128]

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

$f(x)=52.3x+3.548$

This is a linear equation in slope intercept form

where

The slope is equal to

$m=52.3\ grams/ year$

The y-intercept or initial value is equal to

$b=3,548\ grams$

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012

The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

$3,554\ g\neq 3,548\ g$

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0

3 years ago

A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods ab

lianna [129]

Answer: $25.9\%$

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is $x$

So, the selling price is $(1-0.15)x=0.85x$

Suppose the cost price is $y$

$\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x$

So, the percentage the shopkeeper marked his goods above cost price

$\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%$

6 0

3 years ago

I need this answered plz!!!!!!!!!!!!!!!!!!!

Fynjy0 [20]

Answer:

Red: Left side equation

Blue: Right side equation

2x+7=2(x-1)

2x+7=2x-2

2x-2x=-2-7

0x=-9= 0 No solution

Step-by-step explanation:

Use Desmos graphing calculator if u need help with graphs

6 0

2 years ago