1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
3 years ago
11

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.
You might be interested in
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:

<u><em>Part I</em></u>

p(x=1)=0.0000

p(x=2)=0.0000

<u><em>Part II</em></u>

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 )

<u><em>Your solution should be option b, "  f(-4) = g(-4) and f(0) = g(0) "</em></u>

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
Other questions:
  • PTG has side lengths of 12 cm, 25 cm, and 19 cm. Which type of triangle is PTG?
    6·1 answer
  • What is a straight angle
    6·1 answer
  • Business. Computer sales are generally subject to seasonal fluctuations. An analysis of the sales of a computer manufacturer dur
    7·1 answer
  • Complete the equation of the graphed linear function. Write the slope in decimal form. y = x The graph of the function goes thro
    6·1 answer
  • Given r= 8 and ø=1.85pi, find the Cartesian coordinates. Check your answer.
    12·2 answers
  • For a future teachers of America fundraiser,denzell sold food as shown in the table . He sold 11 more subs than pixxasand earned
    13·1 answer
  • An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is
    5·1 answer
  • Expand the following 3(x+9) 4(x-1) 5(5x+2) 8(3x-y)
    14·1 answer
  • Y=4x+2 passes through point (3,-5)
    8·1 answer
  • All the fourth-graders in a certain elementary school took a standardized test. A total of 82% of the students were found to be
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!