Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 such locations are generated, what is the probability that all 6 locations are in water?

0.0006
0.1281
0.8719
0.9994

Answer:

11

Step-by-step explanation:

7/8 divided by 1/8 = 7 & 2^2 = 4. Simplified, you would have 7 + 4, or 11

Answer:

75% of 12 is 9

Answer:

n is the number and 12 is the number

Step-by-step explanation:

Step-by-step explanation:

40 * 14 = 560

Happy holidays!

Answer:

x + 2y = 20

Step-by-step explanation:

number of games = x

cost of 1 game = $1

cost of x games = $1*x = $x

number of rides = y

cost of 1 rides = $2

cost of y rides = $2*y = $2y

Total cost for x games and y rides = $x + $2y

given that he can spend all which he has

and he has $20

Then

Total cost for x games and y rides would be equal to total money had

thus

$x + $2y = $20

$ gets cancelled from both sides

thus

relationship between  x and y will be

x + 2y = 20  Answ

The equivalent expression of [tex]\frac{5}{m}-\frac{m+8}{m^{2} - 4m}[/tex] is [tex]\frac{4(m-7)}{m(m-4)}[/tex]

The expression can be simplified as follows:

[tex]\frac{5}{m}-\frac{m+8}{m^{2} - 4m}[/tex]

[tex]\frac{5}{m}-\frac{m+8}{m^{2} - 4m} = \frac{5(m^{2} - 4m)-m(m+8)}{m(m^{2} - 4m)}[/tex]

Therefore,

[tex]\frac{5(m^{2} - 4m)-m(m+8)}{m(m^{2} - 4m)}=\frac{5m^{2} - 20m-m^{2}-8m}{m(m^{2}-4m )}[/tex]

Simplifying further,

[tex]\frac{5m^{2} - 20m-m^{2}-8m}{m(m^{2}-4m )}=\frac{5m^{2}-m^{2}-20m-8m }{m(m^{2}-4m )}[/tex]

[tex]\frac{5m^{2}-m^{2}-20m-8m }{m(m^{2}-4m )} = \frac{4m^{2} -28m}{m(m^{2}-4m)}[/tex]

[tex]\frac{4m^{2} -28m}{m(m^{2}-4m)} = \frac{4m(m-7)}{m^{2}(m-4) }[/tex]

Finally,

[tex]\frac{4m(m-7)}{m^{2}(m-4) }=\frac{4(m-7)}{m(m-4)}[/tex]

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Answer:

[tex]\displaystyle y=-\frac{4}{13}x+\frac{2}{13}[/tex]

Step-by-step explanation:

Median of a Triangle

The median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

We have a triangle formed by the points A(-9,-4), B(-3.8), and C(7.-2).

The median from vertex C must pass through the midpoint of the segment AB. First, find that midpoint:

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}=\frac{-3-9}{2}=-6[/tex]

[tex]\displaystyle y_m=\frac{-4+8}{2}=2[/tex]

Midpoint AB=(-6,2). This point and C(7,-2) form the required median.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]\displaystyle y-2=\frac{-2-2}{7+6}(x+6)[/tex]

[tex]\displaystyle y-2=-\frac{-4}{13}(x+6)[/tex]

Operating:

[tex]\displaystyle y-2=-\frac{4}{13}.x-\frac{4}{13}.6[/tex]

[tex]\displaystyle y=-\frac{4}{13}.x-\frac{24}{13}+2[/tex]

[tex]\mathbf{\displaystyle y=-\frac{-4}{13}x+\frac{2}{13}}[/tex]

Answer:

3/512

Step-by-step explanation:

Step-by-step explanation:

For a GP, the 7th term=ar^n-1 but there's something weird. There is a common ratio of-¼

r=-6/24=-¼

r=3/2÷6=-¼

a7=(24)×(-¼)^7-1

a7=3/512

Answer:

$118.706 or rounded to $118.71

Step-by-step explanation:

Since it is on sale, find the discount price. $139 * 0.8 = 111.20

I used 0.8 because you got 20% off so it is only 80% of original price or 0.8 of original price.

Then 111.20 * (1.0675) = $118.706 or rounded to $118.71.

Tax is 6.75% or 0.0675. It is on top of the discount price, so use 1.0675.

Alternatively you can find 0.0675 * 111.20 and add that to 111.20 and still get the same answer.

Answer: 1-1/2

Step-by-step explanation: The unit rate would be amount of fertilizer for 1 hour.

Since 3/4 square foot is used in 1/2 hour, you would need twice as much for 1 hour:

3/4 • 2  = 6/4 square feet in 1 hour. As a Mixed number this would be 1-1/2 or [tex]1 \frac{1}{2}[/tex]

Answer:

D

Step-by-step explanation:

i did it with eliminating choices

The second-youngest child will be 8 years old

HOPE THIS ANSWER WAS USEFUL

The answer is 8

2,4,6,8,10,12,14,16,18,20,22,24,26

2 *5= 10+26= 36\2= 18-10=8

All the new ages would be

6,8,10,12,14,16,18,20,22,24,26,28,30

Step-by-step explanation:

2 Triangles are congrant So AB = DE

so,5 X +2 = 8X _10

3x = 12

X=4 ⇒....1

FE = BC

so,3y -7 = 8

3 y = 15

y= 5 ⇒ . ... 2

Answer:

Step-by-step explanation:

2.

Surface area = ( 6 *10 ) *3  + ( ( 7*4.87) /2)*2 = 180 + 34.09 = 214.09

3.

Surface area = (5*10) *3 + (( 7*4.2)/2)*2 = 150 +29.4 = 179.4

Answer:

Step-by-step explanation:

wdym????

Answer:

[tex](x^2 + 7)(x- 4)[/tex]

Step-by-step explanation:

Given

[tex]x^3 - 4x^2 + 7x - 28[/tex]

Required

Factorize by grouping

[tex]x^3 - 4x^2 + 7x - 28[/tex]

Expand the given expression into 2 parts

[tex][x^3 - 4x^2] + [7x - 28][/tex]

Factorize each group:

[tex][x^2(x - 4)] + [7(x - 4)][/tex]

Remove square brackets

[tex]x^2(x - 4) + 7(x - 4)[/tex]

This gives:

[tex](x^2 + 7)(x- 4)[/tex]

Hence, the factored form of [tex]x^3 - 4x^2 + 7x - 28[/tex] is [tex](x^2 + 7)(x- 4)[/tex]

Answer:

y - 6 = -8(x - 6)

Step-by-step explanation:

point-slope form is y-y₁=m(x-x₁)

we have slope=-8 and also this point (6,6) so

y - 6 = -8(x - 6)

hope this helps you

Answer:

newtons 2nd law of motion

Step-by-step explanation:

Answer:

Step-by-step explanation:

I=PRT/100

I=3000*5.4*6                                                                                                                            

       100

97200/100=972.

I=$972

Answer:

x = - 3

Step-by-step explanation:

[tex]9(x + 2) = x - 6 \\ \\ 9x + 18 = x - 6 \\ \\ 9x - x = - 6 - 18 \\ \\ 8x = - 24 \\ \\ x = \frac{ - 24}{8} \\ \\ x = - 3[/tex]

Answer:

X=-3

Step-by-step explanation:

Hope this helps

It has the steps too

Answer:

The value of the sample proportion for the given sample is 0.7

Step-by-step explanation:

Given;

total number of students selected (sample) = 50

number of students that responded they do not read the textbook = 35

The value of the sample proportion for students that do not read their statistics textbook in the given sample is calculated as;

sample proportion = 35 / 50

sample proportion = 0.7

Therefore, the value of the sample proportion for the given sample is 0.7

Answer:

42 tickets.

Step-by-step explanation:

To make a profit, the PTA will need to earn at least $251, because it spent $250 on the dance. so we can divide 251/6 = 41 remainder 5, which means we need to sell 42 tickets.

Answer:

The PTA must sell 42 tickets to make a profit.

Step-by-step explanation:

To solve this problem, we will have to construct an inequality in which $250 is less than our solution.

Let [tex]s[/tex] = student tickets

Since each student ticket is priced at $6.00, the money raised by the student tickets can be represented by the expression:

[tex]6s[/tex]

Since it will cost the PTA $250.00 for the dance, the profit will have to be equal to anything greater than $250.00.

Set up your inequality:

[tex]250<6s[/tex]

Divide both sides of the inequality by the coefficient of [tex]s[/tex], which is [tex]6[/tex]:

[tex]41.7=s[/tex]

As you can see, we are left with a decimal, but we will have to round to the nearest whole number as the tickets can only be represented as whole numbers:

[tex]42=s[/tex]

Therefore, the PTA must sell 42 tickets in order to make a profit.

-

You can check your work by substituting the solved value for the tickets into the inequality:

[tex]250<6s[/tex]

[tex]250<6(42)[/tex]

[tex]250<252[/tex]

And since $252 is greater than $250 (represents a $2 profit), our solution is correct.

Answer:

option 2

Step-by-step explanation:

I hope that's the answer cause I'm pretty sure it is

Answer:

greater risk of a Type I error and a lower risk of a Type II error

Step-by-step explanation:

Remember, in statistics, alpha (or the significance level) α,  refers to the probability of rejecting the null hypothesis when it is true.

Hence, setting alpha at 0.05 (or 5%) instead of 0.01 (or 1%) implies that the researcher is increasing how far away the statistics data needs to be from the null hypothesis value before they can decide to reject the null hypothesis. In other words, a probability of 5% is greater than 1%, resulting in a greater risk of a Type I error and a lower risk of a Type II error.

Answer:maintenance

Step-by-step explanation:is the correct answer

Oil change is considered to be a part of routine maintenance.

Technically speaking, maintenance in industrial, commercial, and residential installations refers to functional inspections, servicing, repairing, or replacing necessary devices, equipment, machinery, building infrastructure, and supporting utilities.

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