A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:
a. Let F = the event of getting the white ball twice.
b. Let G = the event of getting two balls of different colors.
c. Let H = the event of getting white on the first pick.
d. Are F and G mutually exclusive?
e. Are G and H mutually exclusive?

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given

Represent the balls with the first letters

[tex]W =1[/tex]

[tex]R =1[/tex]

Solving (a): P(F) --- White balls twice

The event of F is:

[tex]F = \{(W,W)\}[/tex]

So:

[tex]P(F) = P(W) * P(W)[/tex]

[tex]P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(F) = \frac{1}{2} * \frac{1}{2}[/tex]

[tex]P(F) = \frac{1}{4}[/tex]

Solving (b): P(G) --- two different colors

The event of G is:

[tex]G = \{(W,R),(R,W)\}[/tex]

So:

[tex]P(G) = P(W) * P(R) + P(R) * P(W)[/tex]

[tex]P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(G) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}[/tex]

[tex]P(G) = \frac{1}{4} + \frac{1}{4}[/tex]

[tex]P(G) = \frac{1}{2}[/tex]

Solving (c): P(H) --- White picked first

The event of H is:

[tex]H = \{(W,R),(W,W)\}[/tex]

So:

[tex]P(H) = P(W) * P(R) + P(W) * P(W)[/tex]

[tex]P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(H) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}[/tex]

[tex]P(H) = \frac{1}{4} + \frac{1}{4}[/tex]

[tex]P(H) = \frac{1}{2}[/tex]

Solving (d): F and G, mutually exclusive?

We have:

[tex]F = \{(W,W)\}[/tex]

[tex]G = \{(W,R),(R,W)\}[/tex]

Check for common elements

[tex]n(F\ n\ G) = 0[/tex]

Hence, F and G are mutually exclusive

Solving (e): G and G, mutually exclusive?

We have:

[tex]G = \{(W,R),(R,W)\}[/tex]

[tex]H = \{(W,R),(W,W)\}[/tex]

Check for common elements

[tex]n(G\ n\ H) = 1[/tex]

Hence, F and G are not mutually exclusive


Related Questions

As preparation for designing a new line of business wear, a clothing manufacturer asked a large sample of department store customers, "What is your favorite
color of dress shirt?" The ple chart below summarizes their responses.
(a) Which color was chosen by approximately one fourth of
the customers?

Answers

Answer:

white

Step-by-step explanation:

if you cut the shape in half both ways it makes white take up a fourth.


Learning Task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by
sending them messages on messenger or SMS. Use the table to record the data.
Favorite Fruit of My Classmate and Friends
Tally
Fruits
Boys
Girls
1. pineapples
2. ripe mangoes
3. rambutan
4. lansones
5. buko
Answer the following questions:
1. What is the set of data all about?
2. Which fruit is the favorite among the girls Boys
3. What is the least favorite fruit among the girls Boys
4. What is the top choice fruit of both girls and boys
5. What is the least favorite fruit of both boys and girls​

Answers

Answer:

1 Its all about there favorite fruits

2 the favorite fruits of the girls are buko less than the boys.

3 the least fruit favorite fruits is pineapple among the girls boys.

4 the top choice of the fruit is the lansones both girls and boys.

5 the rambutan is the least favorite both of them

Step-by-step explanation:

Hope its help po pa brainlest

Answer:

girl

-apple

-masanas

boy

-lansones

-rambotan

sorry yan lang alam ko

HELP ASAP I WILL GIVE BRAINLIST

A = {1, 3, 4, 5, 7, 9}
B = {1, 2, 4, 6, 8, 10}

List the outcomes of A ∪ B? What does this represent?

List the outcomes of A ∪ B? What does this represent?

Answers

Answer:

A U B={1,2,3,4,5,6,7,8,9,10} represents A union B

(includes all the members of set Sand the members of set Bout together, do not repeat anyone that comes twice)

A n B={1,4} represents A interception B( this refers to the members that sets A and B have in common)

Answer:

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

Step-by-step explanation:

A = { 1 , 3 , 4 , 5 , 7 , 9 }

B = { 1 , 2 , 4 , 6 , 8 , 10 }

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

           It represents the whole numbers between 0 and 11

          [ A ∪ B is the elements of both A and B , without any repetition ]    

A ∩ B = { 1 , 4 }

            It represents the common numbers in both A and B

Consider a fishery in which harvesting is taking placeat a constant rateh. The population at the fisherywill be modeled by

dP/dt = kP- h

Required:
Find the general solution to this DE.

Answers

Answer:

The general solution to this differential equation is [tex]P(t) = \frac{Ke^{kt} + h}{k}[/tex]

Step-by-step explanation:

We are given the following differential equation:

[tex]\frac{dP}{dt} = kP - h[/tex]

Solving by separation of variables:

[tex]\frac{dP}{kP-h} = dt[/tex]

Integrating both sides:

[tex]\int \frac{dP}{kP-h} = \int dt[/tex]

On the left side, by substitution, u = kP - h, du = kDp, Dp = du/k. Then

[tex]\frac{1}{k} \ln{kP-h} = t + K[/tex]

In which K is the constant of integration.

[tex]\ln{kP-h} = kt + K[/tex]

[tex]e^{\ln{kP-h}} = e^{kt + K}[/tex]

[tex]kP - h = Ke^{kt}[/tex]

[tex]kP = Ke^{kt} + h[/tex]

[tex]P(t) = \frac{Ke^{kt} + h}{k}[/tex]

The general solution to this differential equation is [tex]P(t) = \frac{Ke^{kt} + h}{k}[/tex]

the temperature at 6 pm in frost frozen antarctica was -37 if the tem dropped 8 1 /2 c uring the next hour what was the the temp at 7 pm

Answers

Answer:

-45 1/2

Step-by-step explanation:

Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct

Answers

Answer:

Option C

Step-by-step explanation:

n = 81  

s2 = 625  

H0: σ2 = 500  

Ha: σ2 ≠ 500  

Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500

X^2 = 100

P value = 0.0646 for degree of freedom = 81-1 = 80

And X^2 = 100

At 95% confidence interval  

Alpha = 0.05 , p value = 0.0646  

p < alpha, we will reject the null hypothesis

At 95% confidence, the null hypothesis

for what value of x does 4x=(1/8)^x+6?
Answer please help
A. -15
B. -3
C. 3
D. 15

Answers

Im sorry but what I got was x=1.5 I don't know if this helps or not.

Which of the following best describes the equation below? y = x + 8 OA. function only B. both a relation and a function Oc. neither a relation nor a function OD. relation only?​

Answers

9514 1404 393

Answer:

  B. both a relation and a function

Step-by-step explanation:

Every linear equation with defined slope is both a relation and a function.

__

Only a vertical line of the form x=constant is linear equation that is a relation, but not a function.

What proportion of families own as opposed to rent their home? To find out, an urban planner selected a random
sample of 400 families in a large city to participate in a survey about homeownership. Of the 362 families that
responded to the survey, 42% reported that they own their home. Which of the following statements about the
survey results is true?
O A suitable estimate of all families who own their home is 42%.
The survey suffers from voluntary response bias and may not accurately represent the population.
O Only 362 responses cannot provide a suitable estimate of families who own their home.
O The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.
Mark this and return
Save and Exit
fyext
Submit

Answers

Answer:

A suitable estimate of all families who own their home is 42%.

Step-by-step explanation:

42% reported that they own their home.

This means that the sample proportion is of 42%. So that an estimate for the percentage of all families who own their home is of 42%., and that the first option is correct.

Answer:

The correct answer is: The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.

Step-by-step explanation:

I just took the review test. The person above me is wrong

Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per
year, compounded monthly. Give your answer accurate to 2 decimal places.
Preview
years.

Answers

Answer:

The time required is of 17.53 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per year, compounded monthly.

This is t for which [tex]A(t) = 14000[/tex], considering [tex]P = 7000, r = 0.04, n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]14000 = 7000(1 + \frac{0.04}{12})^{12t}[/tex]

[tex](1.0033)^{12t} = 2[/tex]

[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]

[tex]12t\log{1.0033} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]

[tex]t = 17.53[/tex]

The time required is of 17.53 years.

Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet. Which integer represents Gemma’s position with respect to sea level?
–32

Answers

Answer:

-24 feet

Step-by-step explanation:

Boat is 4 feet above sea level => +4 feet

She descends 28 feet => -28 feet

Position = +4-28 = -24 feet

Therefore,

Gemma is 24 feet below the sea level

Answer:

-24 feet

Step-by-step explanation:

Because she is 4 feet above sea level, she can descend 4 feet to be at sea level. Now she only has to descend 24 feet below sea level, which is -24 feet.

Two angles are complementary. One angle measures 60 degrees. What is the measure of the other angle?
I'm not sure if its A.

Answers

Answer:

30

Step-by-step explanation:

Complementary angles add to 90

x+60 = 90

x+60-60 = 90-60

x = 30

Answer: A

Step-by-step explanation:

Complementary angles sum up to 90 degrees. Thus, we can write that:

90=angle1+angle2

90-angle1=angle2

90-60=angle2

angle2=30

Solve the following system of equations and show all work. y = 2x2-3 y = 7x + 1 (10 points)​

Answers

Answer:

x = -1/2 , y = -5/2

x = 4, y = 29

Step-by-step explanation:

y = 2x² - 3

y = 7x + 1

------------------

set equal

2x² - 3 = 7x + 1

Subtract 7x + 1 from both sides

2x² - 7x - 4 = 0

Factor

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

x = {-1/2, 4}

For x = -1/2

y = 7(-1/2) + 1

y = -5/2

(-1/2 , -5/2)

For x = 4

y = 7(4) + 1

y = 29

(4, 29)

if the volume of a Sphere is 36 pie cm³. then find its radius
I will give brainliest ​

Answers

Answer: r = 3

Step-by-step explanation:

V=(4/3)πr^3 (this is the formula to identify a volume of the sphere. Since we know that V = 36π, add it into the following formula like so:

36π = (4/3)πr^3; from here we can cancel out the π

36 = (4/3)r^3; multiply both sides by 3/4

27 = r^3;

the final answer is r = 3.

please help meeeee!!​

Answers

Step-by-step explanation:

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

which equation is correctly rewritten to solve for x?

Answers

i think it’s lxwxh i’m not sure sorry if it didn’t help
explanation

The amount of increase from the cost to the selling price is called the?​

Answers

Answer:

profit

hope it is helpful to you

Step-by-step explanation:

Markup is the percentage amount by which the cost of a product is increased to arrive at the selling price.

what type of data states that every value in the set is a number​

Answers

Answer:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Step-by-step explanation:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Answer:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Suppose that each student at a university has one of 4 expected graduation years and one of 21 majors. How many students must be enrolled to guarantee 2 graduations in the same year and major?

Answers

Answer:

The correct answer is "168 students".

Step-by-step explanation:

According to the question,

Graduation probability,

[tex]P_g=\frac{1}{4}[/tex]

Major probability,

[tex]P_m=\frac{1}{21}[/tex]

Now,

The probability of having both graduation as well as major will be:

= [tex]\frac{1}{4}\times \frac{1}{21}[/tex]

= [tex]\frac{1}{84}[/tex]

hence,

The number of students having guarantee two graduations throughout the same year and major will be:

⇒ [tex]\frac{x}{84}=2[/tex]

By applying cross-multiplication, we get

⇒ [tex]x = 84\times 2[/tex]

⇒    [tex]=168[/tex]

You put $600 in a savings account. The account earns 6% simple interest per year.

a. What is the interest earned after 10 years?
b. What is the balance after 10 years?

Answers

A I believe hope this helps

PLEASE HELP ASAP!!! What is the range of the function shown on the graph?
(The graph is below)

Answers

Answer:

-6 < y < ∞

Step-by-step explanation:

The range is the values that y can take

y goes from  almost -6 to infinity ( there is an asymptote at -6)

-6 < y < ∞

Complete the function, count_bases(s). It takes as input a DNA sequence as a string, s. It should compute the number of occurrences of each base (i.e., 'A', 'C', 'G', and 'T') in s. It should then return these counts in a dictionary whose keys are the bases.

Answers

Answer:

The function is as follows:

def count_bases(DNA_str):

   retDNA = {}

   for i in DNA_str:

       if i in retDNA:

           retDNA[i]+=1

       else:

           retDNA[i] = 1

   return retDNA

Step-by-step explanation:

This defines the function

def count_bases(DNA_str):

This initializes a dictionary

   retDNA = {}

This iterates through the dictionary

   for i in DNA_str:

If an item exists in the dictionary

       if i in retDNA:

The count is updated by 1

           retDNA[i]+=1

Otherwise

       else:

The count is set to 1

           retDNA[i] = 1

This returns the DAN

   return retDNA

The points P and Q have coordinates (-1, 6) and (9, 0) respectively.
The line l is perpendicular to PQ and passes through the mid-point of PQ.
Find an equation for l, giving your answer in the form ax + by + c =0, where a, b and c are integers.

Answers

Answer:

[tex]3y - 5x +11=0[/tex]

Step-by-step explanation:

Given

[tex]P(x_1,y_1) = (-1,6)[/tex]

[tex]Q(x_2,y_2) = (9,0)[/tex]

Required

The equation of l

First, calculate the slope (m) of PQ

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0-6}{9--1}[/tex]

[tex]m = \frac{-6}{10}[/tex]

[tex]m = \frac{-3}{5}[/tex]

Since l is perpendicular to PQ, the slope of l is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2= -\frac{1}{-3/5}[/tex]

[tex]m_2 = \frac{5}{3}[/tex]

Next, calculate the midpoint of PQ

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

[tex]M = \frac{1}{2}(-1+9,6+0)[/tex]

[tex]M = \frac{1}{2}(8,6)[/tex]

[tex]M = (4,3)[/tex]

The equation of l is:

[tex]y = m(x -x_1) + y_1[/tex]

[tex]y = \frac{5}{3}(x -4) +3[/tex]

Multiply through by 3

[tex]3y = 5(x -4) +9[/tex]

Open bracket

[tex]3y = 5x -20 +9[/tex]

[tex]3y = 5x -11[/tex]

Rewrite as:

[tex]3y - 5x +11=0[/tex]

what is the area of a rectangular driveway measuring 20 feet long and 15 feet wide?

Answers

Answer:

300 square feet

Step-by-step explanation:

Area is found by multiplying the length and width of a surface

What is the domain of the square root function graphed below?

Answers

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.

5+9+9 divided by 3= ?

Answers

It’s 7.7 because you round it the the nearest ten which is 6 turns into a 7 by adding one

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3

Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Answers

Answer:

The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

Step-by-step explanation:

In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.

Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n cubed minus n Over n squared + 5 n EndFraction?

Answers

Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

[tex]\to a_n=\frac{n^3-n}{n^2+5n}[/tex]

[tex]\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}[/tex]

                   [tex]= \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\[/tex]

Denominator[tex]= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1[/tex]

Numerator [tex]=\lim_{n\to \infty}n-\frac{1}{n}=\infty[/tex]

[tex]\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty[/tex]


If point (x, y) is rotated 90 degrees about the origin, the resulting point is (-y, -x).
True or false?

Answers

Answer:

False

Step-by-step explanation:

Take the point (2, 3)  = (x, y)

Rotated 90º clockwise (3, -2) = (y, -x)

Rotated 90º counter clockwise (-3, 2) = (-y, x)

Neither rotation becomes (-3, -2)

ANSWER ASAPPP PLSSS. ILL MARK BRAINLIEST TOO



A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:


f(n) = 10(1.02)n


Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)


Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)


Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Answers

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Answer:

Part A

The domain should be 0 ≤n≤5

Part B

f(n) = 10(1.02)^n

The function is in the form y =a b^x  where a is the y intercept

The y intercept is 10.  This is the value when n =0 days.

Part C

The average rate of growth over the 4 days is .21 cm per day

Step-by-step explanation:

f(n) = 10(1.02)^n

Part A

Let f(n) = 11.04

11.04 = 10 * 1.02 ^n

Divide each side by 10

11.04/10 = 1.02^n

1.104 = 1.02^n

Taking the log of each side

log 1.104 = log 1.02^n

We know log a^b = b log a

log 1.104 = n log 1.02

log 1.104 / log 1.02 = n

4.99630=n

Rounding n to 5

The domain should be 0 ≤n≤5

Part B

f(n) = 10(1.02)^n

The function is in the form y =a b^x  where a is the y intercept

The y intercept is 10.  This is the value when n =0 days.

Part C

To find the average rate of change

f(5) - f(1)

-----------

5-1

f(5) = 11.04  

f(1) = 10 *1.02 =10.2

11.04 - 10.2

-----------

5-1

.84

-----

4

.21 cm per day

The average rate of growth over the 4 days is .21 cm per day

Other Questions
Which numbers are written in scientific notation? Check all that apply.10.8 1042.7 1036.1 1059.582 10621.5 1011 Holmes, Inc., has offered $215 million cash for all of the common stock in Watson Corporation. Based on recent market information, Watson is worth $193 million as an independent operation. If the merger makes economic sense for Holmes, what is the minimum estimated value of the synergistic benefits from the merger factor the polynomial by grouping[tex]5 {x}^{2} - 11x + 6[/tex] Which statement are Buddhist beliefs As a result, if any of the three branches exceeds its jurisdiction, the other branches have the ability to halt this power and restore the situation to its pre-expansion state. Examples of unusual powers are the President's veto authority, the Congress's impeachment power, and the judicial branch's ability to declare a legislation unlawful.a. Rural vs. Urban Lifeb. Life and Deathc. People and Natured.Love and Marriage What do you think is more important?School or Money?Both is not allowed. Help find instantaneous rate of change :)! I need help with this question What part of the body is not working as it should when you have coronavirus How did the Cold War influence desegregation in the U.S.?It slowed down the process of desegregation, because all of the country's resources went to fighting Communism.It encouraged the U.S. to desegregate, because the Soviets claimed they supported equality for all people.Itended the process of desegregation temporarily, because people were focused on fighting overseas.All of these choices are correct. Question 6 of 24In which part of a standard plot do the characters resolve the conflict?O A. ConclusionO B. ExpositionC. Rising actionD. Climax Prove the following statement by contradiction. If a and b are rational numbers, b 0, and r is an irrational number, then a + br is irrational. Proof by contradiction: Select an appropriate statement to start the proof. A. Suppose not. That is, suppose there exist irrational numbers a and b such that b 0, r is a rational number, and a + br is rational. B. Suppose not. That is, suppose there exist rational numbers a and b such that b 0, r is an irrational number, and a + br is irrational. C. Suppose not. That is, suppose there exist rational numbers a and b such that b 0, r is an irrational number, and a + br is rational. D. Suppose not. That is, suppose there exist irrational numbers a and b such that b 0, r is an irrational number, and a + br is rational. E. Suppose not. That is, suppose there exist rational numbers a and b such that b 0, r is a rational number, and a + br is irrational. Then by definition of rational, a = c/d, b = i/j , and a + br = m/n where c, d, i, j, m, and n are___and____. Since b 0, we also have that i 0. By substitution, c/d + i/j r = m/n Solving this equation for r and representing the result as a single quotient in terms of c, d, i, j, m, and n gives that r = c - a/b What is the orthodox interpretation of why the Cold War started?? Name the marked angle in 2 different ways Proofread and make any necessary corrections. 1. The girl and the boy (take, takes) special care to handle the puppies gently. 2. The puppies' eyes were dark brown, and (shined, shone) with their tears. 3. The veterinarian (set, sat) aside his instruments and petted the puppies. 4. Cats and dogs can be taught to (sit, set) quietly together and not fight. 5. My cat Sadie carries (her, its) toys around and places them in (their, there) secret hiding places. 6. Having pets is a really good way to teach younger kids in the family, to be responsible and care for others. 7. I like swore to my mother that I would take care of feeding a snake if we got one. hi dev lol hahahahhahahahahahahahahahahahahaha Question 8 of 10Which question can be answered using the scientific process? A 75.0 kg diver falls from rest into a swimming pool from a height of 5.10 m. It takes 1.34 s for the diver to stop after entering the water. Find the magnitude of the average force exerted on the diver during that time. Should the united states government include women in the draft? Explain why? A chart is used to represent ______ data in pictorial formComputer questionFrom the chapter ms excel pls answer!!