a number of rounded to the nearest hundred thousand 400,000. the same number ro u nded to the nearest rounded to the nearest ten thousand is 350,000. what could be the number?​

Answer:

0.0954 = 9.54% probability that the combined sample tests positive for the​ virus. This probability is higher than 5%, and thus, it is not unlikely for such a combined sample to test​ positive.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they test positive, or they do not. The probability of a person testing positive is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability of a randomly selected adult in one country being infected with a certain virus is 0.005.

This means that [tex]p = 0.005[/tex]

Samples from 20 people

This means that [tex]n = 20[/tex]

What is the probability that the combined sample tests positive for the​ virus? Is it unlikely for such a combined sample to test​ positive?

Probability of at least one positive test, which is:

[tex]P(X geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.005)^{0}.(0.995)^{20} = 0.9046[/tex]

Then

[tex]P(X geq 1) = 1 - P(X = 0) = 1 - 0.9046 = 0.0954[/tex]

0.0954 = 9.54% probability that the combined sample tests positive for the​ virus. This probability is higher than 5%, and thus, it is not unlikely for such a combined sample to test​ positive.

It can save time from doing number crunching and analysis because it's an easy to see visual.

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Explanation:

Let x be the net winnings the customer gets

Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.

The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize

Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95

The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.

This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.

Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.

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Here's another way to see why this works:

The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.

Answer:

The answer is (3 ,5)

Step-by-step explanation:

Please give brainliest!!!

Answer:

(3,5)

Step-by-step explanation:

order pair of A is (3,5)

3 is x component.

5 is y component.

Answer:

$14,917.30

Step-by-step explanation:Step 1: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. Here,

I = Interest amount paid in a specific time period (month, year etc.)

P = Principle amount (the money before interest)

t = Time period involved

r = Interest rate in decimal

Step 2: Once you put all the values required to calculate your interest rate, you will get your interest rate in decimal. Now, you need to convert the interest rate you got by multiplying it by 100. For example, a decimal like .11 will not help much while figuring out your interest rate. So, if you want to find your interest rate for .11, you have to multiply .11 with 100 (.11 x 100).

Amount get after 10 year is $14,640

Given information:

Initial amount invested = $12,000

Annual interest rate = 2.2%

Number of year = 10 year

Find:

Amount get after 10 year

Computation:

Amount of interest = Initial amount invested × Annual interest rate × Number of year

Amount of interest = 12,000 × 2.2% × 10

Amount of interest = $2,640

Amount get after 10 year = Initial amount invested + Amount of interest

Amount get after 10 year = 12,000 + 2,640

Amount get after 10 year = $14,640

Learn more:

https://brainly.com/question/12095406?referrer=searchResults

The third quadrant.⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

θ would lie in Quadrant III

Step-by-step explanation:

Review the attached file

Answer:

What is the answer you're looking for?

Step-by-step explanation:

Quotient: 6

Remainder: -4

Hope this helps! :)

Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

Answer:

Step-by-step explanation:

4x - 9 + 23x

Combine like terms

4x+23x  -9

27x  -9

Simplest form is combining all the like terms.

4x + 23x = 27x

Then you have -9

Simplest form = 27x -9

Answer:

C = 1390

equation :

C=760+21g

Variables understanding

g = guest

c= cost

We are Finding C

If C is unknown

and c = 30.

C=760+21 x 30

C = 760+630

C = 1390

Answer:

1389

Step-by-step explanation:

hope this helps alot

Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

Answer:

A - The sum of a unknown value times 3 and 5. B - The sum of a unknown number subtracted by 2 being multiplied by 4.

Step-by-step explanation:

A - The sum of a unknown value times 3 and 5. B - The unknown value subtracted by 2, then multiplied by 4.

Step-by-step explanation:

So, lets pick apart the expressions.

We know the variables will be unknown values:

3unknown value + 5

We know that a number in front of a variable is multipication, so:

3 times unknown value + 5

We know there is a addition symbol, which means a sum of two numbers.  

So:

3 times a unknown value and the sum of 5

5 is just 5, so we can write it as it is.

This might be read as 3 times both the 5 and unknown value, so we want to make sure they are seperate:

3 times a unknown value plus by 5

So basically, instead of talking about the sum of the two numbers, I used plus so that the numbers are seperate. THis way there is no confusion in the answer.  

Next we have 4(x-2)

So first off, x is our unknown value:

4(unknown value-2)

- is subtraction, so:

4(unknown value subtracted by 2)

2 remains as 2.

4 is multiplying the parenthese, so basically, the x-2 is done first. THen it is multiplied by 4. This means the multiplied by 4 should come after the unknown value si subtracted by 2:

The unknown value subtracted by 2, then multiplied by 4.

I used a then to seperate the unkownv alue subtracted by 2 and the multiplied by 4.

9514 1404 393

Answer:

  6·x^6·y^12

Step-by-step explanation:

(3x^6)(2y^12) = (3)(2)x^6·y^12 = 6·x^6·y^12

Answer:

6 x ⁶ y ¹²

Step-by-step explanation:

= ( 3 x ⁶ ) ( 2 y¹² )

= ( 3 ×2 ) x ⁶ y ¹²

= 6 x⁶ y ¹²

Answer:

16 red and 24 blue

Step-by-step explanation:

2 red×8=16

3 blue×8=24

sorry if it's not true

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2nπ  or   x = arcsin(-√3/2) + 2nπ

x = π/3 + 2nπ   or   x = -π/3 + 2nπ

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

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

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = arccos(1/2) + 2nπ   or   x = 2π - arccos(1/2) + 2nπ]   or   x = arccos(-1) + 2nπ

[x = π/3 + 2nπ   or   x = 5π/3 + 2nπ]   or   x = π + 2nπ

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

Step-by-step explanation:

[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}[/tex]

[tex]\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)[/tex]

[tex]\:\:\:\:\: \displaystyle= 2x[/tex]

Answer:

t =3

Step-by-step explanation:

24t = 72

Divide each side by 24

24t/24 = 72/24

t=3

Answer:

A

Step-by-step explanation:

24 t = 72

divide both sides by 24

Thus, t = 72/24

t = 3

Bye ! :-)

Answer:

123 is the answer

hope that helps bby<3

The slope of the line parallel is -2/3 and the slope of the perpendicular one is 3/2.

Answer:

b = 3.8

Step-by-step explanation:

- b/0.1 +2.9= -35.1

Subtract 2.9 from each side

- b/0.1 +2.9-2.9= -35.1-2.9

-b/.1 = -38

Multiply each side by -.1

-b/.1 * (-.1) = -38 *(-.1)

b = 3.8

Answer:

chicken nuggets are good

Step-by-step explanation:

chicken but nuggets who t f thought of this

Answer:

yes

Step-by-step explanation:

Pythagoras

in a right triangle it is always

c² = a² + b²

with c being the side opposite of the 90 degree angle.

5² = 25

12² = 144

13² = 169

so, because indeed 13² = 5² + 12², these three lines make a right triangle.

Answer:

the awnser is 216

Step-by-step explanation:

Answer:

387.4

Step-by-step explanation:

Have a nice day

Answer:

38

Step-by-step explanation:

Have a nice day :)

Answer:

good question

Step-by-step explanation:

Answer:

Option A, (-4, -1)

Hope this helps!

Answer:

HG = 3

Step-by-step explanation:

HF = HG + GF

11 = HG + 8

11 - 8 = HG

3 = HG

Answer:

HG = 3

Step-by-step explanation:

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