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3 years ago

One number is 6 more than another number, and their sum is 22. find the numbers.

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Set the smaller one to x. 2x+6=22, so 2x=16. Thus, x=8 and x+6=14, so 8 and 14 are our numbers.

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A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of tune, an average of 28 pa

patriot [66]

Answer:

Part I

p(x=1)=0.0000

p(x=2)=0.0000

Part II

p(x)=0.11

Step-by-step explanation:

For Poisson distribution:

$p(X=x)=e^-m\frac{m^x}{x!}$

Where m=mean, x=number of events

Given x=1, and mean,m=28

$p(X=1)=\frac{e^{-28} *28^1}{1!}\\p(X=1)=0.0000$

For x=2 and mean,m=28

$p(X=2)=\frac{e^{-28} *28^2}{2!}\\p(X=2)=0.0000$

For Uniform Distribution

Time interval 10 and 19 minutes is 9

Time interval between 15 and 16 minutes is 1

Therefore:-

$p(x)=\frac{1}{9}\\p(x)=0.1111\\p(x)=0.11 \ (2d.p)$

6 0

3 years ago

Two functions are graphed on the coordinate plane.

rosijanka [135]

Answer:

Option B

Step-by-step explanation:

We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -

Function f( x ) where x = - 4 / Function g( x ) where x = - 4,

$f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )$

Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,

$f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )$

Your solution should be option b, " f(-4) = g(-4) and f(0) = g(0) "

7 0

2 years ago

3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|

son4ous [18]

Answer:

$y=\frac{5}{4}x+\frac{15}{4}$

Step-by-step explanation:

x | y

-------

1 5

5 10

9 15

13 20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1 , 5)

-( 5 , 10)

----------------

-4 -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter. I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4 +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

$y=\frac{5}{4}x+\frac{15}{4}$

4 0

3 years ago

Read 2 more answers

Please help me ASAP

allsm [11]

Answer:

Step-by-step explanation:

by inspection.. just looking at the graph

slope = - 1/2 (called m )

Y-intercept is at 1

line equation is then

y= mx + b

y= -1/2x +1

6 0

3 years ago

List of subsets of each set {1,3,5,7}

agasfer [191]

ANSWER

{},{1},{3},{5},{7},{1,3},{1,5},{1,7},{3,5},{3,7},{5,7},{1,3,5},{1,3,7},{3,5,7},{1,5,7},{1,3,5,7}

EXPLANATION

The given set is {1,3,5,7}.

This set has

${2}^{n} = {2}^{4} = 16$

subsets.

Where n=4 is the number of elements in the set.

Recall that the null set is a subset of every set and every set is a subset of itself.

The subsets are:

{}

{1},{3},{5},{7}

{1,3},{1,5},{1,7},{3,5},{3,7},{5,7}

{1,3,5},{1,3,7},{3,5,7},{1,5,7}

{1,3,5,7}

7 0

3 years ago