the jacksons , chens, and simms each went on vacation. the jackson drove 835 miles. the simms drove 947 miles and the chens drove 100 miles further than the jacksons which family drove the futhest on vacation?

Answers

Answer 1
Answer:

The given distance driven  by each family on vacation is-

The Jacksons drove 835 miles.

The Simms drove 947 miles.

The Chens drove 100 miles further than the Jacksons that is they drove 935 miles.

Now comparing all three distances, we get 947 miles as the highest distance driven.

Hence the Simms drove the longest distance.


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The table shows the​ number, expressed in​ millions, of citizens who moved in​ 2004, categorized by where they moved and whether they were an owner or a renter. find the​ probability, expressed as a decimal rounded to the nearest number of people in a certain country who moved in​ 2004, in millions moved to same region moved to different region moved to different country owner 11.6 11.6 2.7 2.7 0.4 0.4 renter 18.7 18.7 4.5 4.5 1.0 1.0 ​hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region to a different region. ​

Answers

The table is attached.
You need to find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly selected citizen who moved in 2004 was a person who moved to a different region.

What you need to calculate is the empirical probability: the number of success over the total number of outcomes.

People who moved to a different region = 2.7 + 4.5 = 7.2 millions
People who moved in 2004 =
11.6 + 2.7 + 0.4 + 18.7 + 4.5 + 1.0 = 38.9 millions

P = 
People who moved to a different region / People who moved in 2004
   = 7.2 millions / 38.9 millions = 0.18508997

Therefore, 
the probability that a randomly selected citizen who moved in 2004 was a person who moved to a different region is P = 0.19

Answer:

Step-by-step explanation:

0.19

WILL MARK BRAINLIEST PLEASE HELP

Answers

Answer:

  1) h = -1/2t^2 +10t

  2) h = -1/2(t -10)^2 +72

  3) domain: [0, 20]; range: [0, 50]

Step-by-step explanation:

1.) I find it easiest to start with the vertex form when the vertex is given. The equation of the presumed parabolic path for Firework 1 is ...

  h = a(t -10)^2 +50

To find the value of "a", we must use another point on the graph. (0, 0) works nicely:

  0 = a(0 -10)^2 +50

  -100a = 50 . . . . . . subtract 100a

  a = -1/2 . . . . . . . . . divide by -100

Then the standard-form equation is ...

  h = (-1/2)(t^2 -20t +100) +50

  h = -1/2t^2 +10t

__

2.) The path of Firework 2 is translated upward by 22 units from that of Firework 1.

  h = -1/2(t -10)^2 +72

__

3.) The horizontal extent of the graph for Firework 1 is ...

  domain: 0 ≤ t ≤ 20

The vertical extent of the graph for Firework 1 is ...

  range: 0 ≤ h ≤ 50

2. Use the binomial theorem to expand the expression. (а — 2b)^5

Answers

Answer:

(a-2b)^(5)=-32b^(5)+80ab^(4)-80a^(2)b^(3)+40a^(3)b^(2)-10a^(4)b+a^(5)

Step-by-step explanation:

The binomial expansion is given by:

(x+y)^(n)=_(0)^(n)\textrm{C}x^{^(0)}y^(n)+_(1)^(n-1)\textrm{C}x^(1)y^(n-1)+...+_(n)^(n)\textrm{C}x^(n)y^(0)

In our case we have

x=a\ny=-2b\nn=5

Thus using the given terms in the binomial expansion we get

(a-2b)^(5)=_(0)^(5)\textrm{C}a^(0)(-2b)^(5)+_(1)^(5)\textrm{C}a^{^(1)}(-2b)^(4)+{_(2)^(5)\textrm{C}}a^(2)(-2b)^(3)+_(3)^(5)\textrm{C}a^(3)(-2b)^(2)+_(4)^(5)\textrm{C}a^(4)(-2b)^(1)+_(5)^(5)\textrm{C}a^(5)(-2b)^(0)

Upon solving we get

(a-2b)^(5)=-32b^(5)+5* a*16b^(4)+10* a^(2) * (-8b^(3))+10* a^(3)* 4b^(2)+5* a^(4)* (-2b)+a^(5)\n\n(a-2b)^(5)=-32b^(5)+80ab^(4)-80a^(2)b^(3)+40a^(3)b^(2)-10a^(4)b+a^(5)

Find the slope of the line that contains the following points ( -3 , 7) and (8, -2)

Answers

Answer:

-9/11

Step-by-step explanation:

The slope of a line given two points is

m = (y2-y1)/(x2-x1)

   = (-2-7)/(8--3)

    = (-9)/(8+3)

    =-9/11

Hope this helped you. :)

What is the greatest common factor of 12 and 90?

Answers

The first step to find the gcf of 12 and 90 is to list the factors of each number. The factors of 12 are 1, 2, 3, 4, 6 and 12. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.  So the greatest common factor is 90 Buddy.

The sum of x and -15 is 23

Answers

Answer: x=38

Step-by-step explanation:

x+(-15)=23

x-15=23

+15  +15

x=38

When there is a positive and negative sign the negative sign cancels the positive sign.

Answer:

38

Step-by-step explanation:

23+15=38 because in order to get 23 from -15 a negative number you need to have 38 to silence the -15.