The data below represent the per capita​ (average) disposable income​ (income after​ taxes) for 25 randomly selected cities in a recent year.

Answer:

i). 14/75 or 19%

ii). 2/25 or 8%

Step-by-step explanation:

i). Using the combinations formula if repetition is allowed

If n choose r,

(r+n-1)!/r!(n-1)!

Where n is the things we have to pick from and r is the objects we want. We want 2 objects and we have 24 objects to pick from.

So our equation will be

(2+24-1)!/2!(24-1)!

(25)!/2!(23)!,

This gives us 300. So there is 300 possible combinations.

Since we have two independent events, we can multiply two events and divide it by 300 to find the probability.

i) There is 14 good defects and 4 major defects so

[tex] \frac{14 \times 4}{300} = \frac{56}{300} = \frac{14}{75} [/tex]

So the probability is 14/75 or 19%

ii) We can do the same thing in question 1

There is 6 minor defects and 4 major so

[tex] \frac{6 \times 4}{300} = \frac{24}{300} = \frac{8}{100} = \frac{2}{25} [/tex]

So this means the probability is 8% or 2/25

Answer:

16 2/3 ounces

Step-by-step explanation:

Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile

Answer:

-7, -11

Step-by-step explanation:just count down and up how many steps

Answer:

[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]

I hope I helped you^_^

Answer:

21.70

Step-by-step explanation:

First find the discount

31 * 30%

31 *.30

9.3

Subtract from the original amount

31 - 9.3

21.70

Step-by-step explanation:

6(4+8)

24+48

72 Answer

hope it helps

Answer:

6(x+8)

when the value of x we s equal to 4, then

6(4+8)

Now, by adding 4 and 8, we get

6(12)

6×12

Now, by multiplying 6 and 12, we get

72

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

Answer:

time=distance/speed

time=500/45

time=11.11 sec

Answer:

11 1/9 seconds = time

Step-by-step explanation:

We know that

Distance = rate * time

500 m = 45 m/s * time

Divide each side by 45

500/45 = time

11 1/9 seconds = time

Answer:

Step-by-step explanation:

For [tex]3^5^m[/tex]:

Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].

For [tex]81^m[/tex]:

[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].

For [tex]9^{2.5m}[/tex]:

After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].

Answer:

the airplane needs to travel 400 mph to reach 2000 miles in 5 hours

Answer:

y + x + 3

Step-by-step explanation:

each point adds an additional 3

B is your answer

Answers:

============================================================

Explanation:

The domain of f:  {a,b,c,d} which is drawn from set A.

The domain of g:  {a,c,d,e} which is drawn from set B

So far, we can see the possible inputs are: a,b,c,d,e

Let's go through each lowercase letter of the given sets

To summarize, only inputs c and d are valid in the domain.

The domain is the set {c, d}

Both inputs in the domain lead to the output 1/2. This means the range of f/g is {1/2}. Despite having just one element inside, we must use curly braces to indicate we have a set.

The function f/g is { (c, 1/2),  (d, 1/2) }

We simply list all of the (x,y) ordered pairs to describe the function. In this case, there are only two such pairs.

Answer:

C

Step-by-step explanation:

hope it helps!!!!!!!!

Answer:

Step-by-step explanation:

$211000 are 100% - 58% = 42% of the (former) income.

Therefore, 1% is 42 times less: 211000/42 = 5023.81,

and the (former) income was 100 times this value, i.e. GHC 502381.

Answer:

2 + -3

Step-by-step explanation:

2 - 3 in the form a + b is:

2 + -3

where a = 2

and b = -3

Answer: slope (m) = - 9/5

Step-by-step explanation:

Find two points = (-4,5) (1, -4)

The slope going uphill is positive and downhill is negative.

Slope m = (y-y)/(x-x)

(5- -4)/-4-1 = - 9/5

Also, start in one point go straight up or down counting, and then go left or right to the other point counting.

9514 1404 393

Answer:

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.

The bottom row x axis) is seconds and goes to 6 seconds

Each peak is a heartbeat, there are 9 in the 6 seconds.

A minute is 60 seconds.

60 seconds / 6 seconds = 10

9 beats every 6 seconds x 10 = 90 beats per minute.

The heart rate is 90 beats per minute

Answer:

(5, 35) and (25, 20)

Step-by-step explanation:

The question is saying that x = minutes spent watching videos and y = minutes spent playing video games.  Gian has 45 minutes in total to spend.  The equation for Gian spending y minutes playing video games if he spent x minutes watching videos would be 45 - x, since x minutes have been taken away from Gian's 45 minutes by watching videos.  

Knowing this, if he spent 5 minutes watching videos (x) on Monday, that means he spent 40 minutes playing video games.  So, the first coordinate point would go to (5, 40).  On Tuesday, he spent 25 minutes watching videos, which would mean he spent 20 minutes playing video games.  The second coordinate point would go to (25, 20).

Answer:

18

Step-by-step explanation:

424-250 = 174

174/29 = 6

This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18

I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line

9514 1404 393

Answer:

  (b) $0.60

Step-by-step explanation:

The cost is proportional to the number of rolls. It is $3.60/(6 rolls) = $0.60/roll. When you buy a Baker's Dozen, you save the cost of one roll: $0.60.

it's 0.60

have an nice nice nice nice day

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:

Answer:

when rounding anything that is or is greater than 5 you round up 1.

4,->7<-08.06

so rounding up 1, 4 would turn into 5.

Hi ;-)

[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]

Answer:

w-9x/5=y

Step-by-step explanation:

w=9x+5y

subtract 9x from both sides

w-9x=5y

divide by 5y

w-9x/5=y

Answer:

Line 1 to Line 2:Commutative property of addition

Line 2 to Line 3:Distributive property

Step-by-step explanation:

Line 1: 3(2+9x)  Given

Line 2: 3(9x+2)  Commutative property of addition

Line 3: 27x+6 Distributive property

Answer:

Line 1-Line 2=Commutative property

Line 2-LIne 3=Distributive property

Step-by-step explanation:

Lets solve

[tex]\\ \rm\longmapsto 3(2+9x)[/tex]

[tex]\\ \rm\longmapsto 3(9x+2)[/tex]

[tex]\\ \rm\longmapsto 27x+6[/tex]

Answer:

(1/2)hb = Area of Triangle

s^2 = Area of Square

lw = Area of Rectangle

4s = Perimeter of a Square

2l + 2w = Perimeter of a Rectangle

a + b + c = Perimeter of a Triangle

Answer:

70.8

Step-by-step explanation:

7.08×10 is 70.8

...............

Answer:

7 is the answer hope this helps