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 7 such locations are generated, what is the probability that the first 5 locations are in the water and the last 2 locations are on land?

Answers

Answer 1

Answer:

The probability that it will be on land is 0.29 and the probability of water is 0.71.

Step-by-step explanation:

Since each randomly generated latitude-longtitude pairs are unbound, the earth to water ratio is the key factor that determines whether the location is going to be on land or in the water.

The probability for any location to be in the water is 71% or 0.71 since the probability is between 0 and 1. The probability for any location to be on land is 29% or 0.29.

I hope this answer helps.

Answer 2

Answer:

The correct answer is B. 0.0152

Step-by-step explanation:

(.71)^5 X (.29)^2


Related Questions

Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]

Question and choices below:

Answers

Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

If |a| is between 0 and 1, it's a vertical shrink.  If |a| is greater than 1, it's a vertical stretch.  If a is negative, there's a reflection over the x-axis.

h is the horizontal translation.  If h is positive, there's a translation to the right.  If h is negative, there's a translation to the left.  (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)

k is the vertical translation.  If k is positive, there's a translation up.  If k is negative, there's a translation down.

f(x) = (x + 1)³ − 7

f(x) = 1 (x − -1)³ + -7

a = 1, h = -1, k = -7

This is y = x³ translated 1 unit to the left and 7 units down.

g(x) = -½ (x − 2)³

g(x) = -½ (x − 2)³ + 0

a = -½, h = 2, k = 0

This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.

y = -(x − 4)³ − 2

y = -1 (x − 4)³ + -2

a = -1, h = 4, k = -2

This is y³ reflected over the x-axis, translated 4 units right and 2 units down.

Factor by grouping
x^3+2x^2-9x-18

Answers

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

If p = 12 and q = 3, evaluate 4p – q.

Answers

Answer:

45

Step-by-step explanation:

Plug in the values into the equation

4(12) - 3

48 - 3 = 45

Answer:

45

Step-by-step explanation:

4(12) - 3

48 - 3

45

Broo please help me omg

Answers

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

PLEASE I NEED YOUR HELP! THANK YOUU!

Answers

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Please find the volume of this shape

Answers

Answer:

V = 536.8m³

Step-by-step explanation:

A = cross-sectional area

V = prism volume

V = A × length

h = perpendicular height of triangle

h² = 13² - 7²

h² = 169 - 49

h² = 120

h = 10.954...

A = ¹/₂.b.h

A = ¹/₂(14)(10.954...)

A = 76.681...

V = 76.681... × 7

V = 536.768... ⇒ 536.8m³

Laron is thinking about majoring in business in college because with a bachelor's degree the starting salaries are about $45,000 per year. If a master's degree will allow him to start out at about 15 percent higher, how much can he expect his starting pay to be with a master's degree?​

Answers

Answer:

$6750 per year

Step-by-step explanation:

15% / 100 = 0,15

0,15 x $45,000 = $6750 he will get per year

Raul is solving -6x = 72. Find his mistake and correct it.

Answers

Answer:

x=12

Step-by-step explanation:

please help me with this

Answers

The equation of the line is y= 3x

Write the ratios as fractions IN THEIR SIMPLEST form
44 boys to 88 girls

Answers

Answer:

2:4

Step-by-step explanation:

what is the measure of angle a in a triangle when the only other angle is 70

Answers

Answer:

I am not exactly sure about this, but if the triangle is isosceles, then the other two angles should both be 55 degrees.

Ratios that are equivalent to 7/3

Answers

Answer:

14:6, 21:9, 28:12

Step-by-step explanation:

ANSWER QUICK FOR BRAINLIEST!!


please i need this asap:))

Answers

Answer:4

Step-by-step explanation: please just trust me!

Solve: 4x^3+7x^2-5x-6=0

Answers

Answer:

(x-1)(x+2)(4x + 3) = 0 ]

Step-by-step explanation:

when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win?

Answers

3 times is the answer.
the person will win 3 times
hope this helps :)

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5

Answers

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

How do you write 86.2 in scientific notation?
x 10
Submit

Answers

8.62x10^-1 hope this helps

ASAP
Can someone please helppp

Answers

Answer:

Option 4

Step-by-step explanation:

Please help:)
I’ll give brainlest

Answers

Answer:

I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..

Step-by-step explanation:

Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a​ factor, and apply the Distributive Property. nothing 34, 51

Answers

Answer:

[tex]34 + 51 = 85[/tex]

Step-by-step explanation:

Given

[tex]34 + 51[/tex]

Required

Use GCF and distributive property to determine the sum

34 can be expressed as:

[tex]34 = 2 * 17[/tex]

51 can be expressed as:

[tex]51 = 3 * 17[/tex]

So, the GCF of both numbers is 17

[tex]34 + 51[/tex] can then be expressed as:

[tex]2 * 17 + 3 * 17[/tex]

Apply Distributive Property, we have:

[tex]17(2 + 3)[/tex]

Solving further:

[tex]17 * 5[/tex]

[tex]85[/tex]

Hence:

[tex]34 + 51 = 85[/tex]

Answer:

Step-by-step explanation: no

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

out of 300marks a student got 207 what is the score in percent​

Answers

Answer: 69%

Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100

30 points-

Use the table below that shows the amount of gasoline a car
consumes for different distances driven.
Distance (mi)
2
Gasoline (gal) 0.05 0.10 0.15 0.200.25
Write an equation in function notation for the relationship
between distance and gasoline used.

Answers

Answer:

4

Step-by-step explanation:

4 is the answer for this problem.

someone, please help worth lots of points
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
answer for a b and c plzzz

Answers

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

solve for x

(-4/5)x + 2 =-26

Answers

Answer:

(-4/5)x= -26-2

(-4/5)x= -28

x= -28/1÷ -4/5

x= -28/1 ×5/-4

x= -7/5 or -1.7

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

What is 5.790 divided by 2.3

Answers

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

A line contains the points (10,7) and (5,-8). Write the equation of the line.

Answers

Y=3x-23
.
Hope this helps :)

Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?

Answers

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

Erla has 28 red and blue marbles. The ratio of red to blue marbles is 1:6.How many blue marbles does Erla have?

Answers

Erla has 24 blue marbles.
Other Questions
123456Confucius said this is the prime ingredient of the authentic individual?a obedienceC. purityb. respectd. humilityPlease select the best answer from the choices providedOAOBOD my account came with 13 answers Find -8 - 1/21/16- 1/416-4 How have the teachings of Judaism influenced modern society? A. Many classic tales are taken from stories originating in the Talmud. B. Hebrew is one of the most common languages spoken in the world. C. Jewish ethical and moral traditions form a basis for many democratic societies. D. The Ten Commandments replaced Hammurabi's Code as the basis for criminal law.Pls help!!! How have the teachings of Judaism influenced modern society? which equation represents this relationship What is 708 divided by 67 with a remainder? 7. Contractions push the food along the gastrointestinal tract. Which two systems directly interact during this process? A muscular and digestive C digestive and circulatory B skeletal and muscular D digestive and excretory Solve the following equations for x.kx - b=3d + 7b How do these powers (initiative, referendum, recall) encourage greater citizen participation in states where they exist? PLEASEE HELPPP During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Nolan made a graph showing the inches of snow on the ground over time using the data that he collected. awnser what is 1+1/0=x HELP ME OUT REALL FAST PLEASEE Fecal coliform is an indicator of what type of disease? Solve the scrambled letter according to the clue: nlpituloo _ _ _ _ _ _ _ _ _: Litter on the ground or harmful chemicals in the water. Who answers correctly will have 30 bonus pts. How much energy is needed to melt 5 g of ice? The specific latent heat of melting for water is 334000 J/k Gregg is on a diet . He started at 250 pounds . After 10 weeks he weighed 245 pounds and after 15 weeks he was 215 pounds . (Rates in pound per week) ? The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage. If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit what is the theme of Atlas's great fate? 1.270 calves were born from gray-variegated cattle. Of these, 136 have parental coloring. Determine the genotype and phenotype of the rest of the offspring, if it is known that the gray-variegated coloration occurs when crossing black and white individuals.2.In some breeds of sheep there are animals without ears and animals with long ears. When they are crossed, animals with short ears are obtained. What offspring will be obtained by crossing short-eared animals and by crossing short-eared rams with long-eared sheep?