Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427

Answer:

C. 11

Step-by-step explanation:

This can be rewritten as

23 - 12

This is equal to 11.

Answer:

11

Step-by-step explanation:

-12 + 23 = 11

since the 12 is negative subtract it from 23 and you get 11 as your answer

Answer:

(6,0) (-6,0)

Step-by-step explanation:

sorry kung mali pero sana makahelp

Answer:

Upendrakishore Roy Chowdhury; 12 May 1863 – 20 December 1915) was a Bengali writer and painter. He was the first person who introduced the colour printing in bangal. He started the first color children's magazine Sandesh in 1913.

Step-by-step explanation:

history ig

Answer:

The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.

The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.

The polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.

But in polar form, the complex numbers are represented as the combination of modulus and argument.

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Answer:

W4 is our new scaled side

Step-by-step explanation:

Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.

3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3

In our case it gets bigger

do 16 divided by 2 which gives us 8 then times that by 3 to get 24

now thats how I solved this problem but if that not how you did it then you can do it your way :3

HOOE THIS HEEELPPED :DDD

Answer:

w+w+5w = 7w

Step-by-step explanation:

Answer:

7w

Step-by-step explanation:

Answer:

The remander is 1 hope that helps

Step-by-step explanation:

The remainder is 1 when the expression (2021)²⁰²² is divided by 337.

The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is what is known as this amount.

The given term is,

(2021)²⁰²²

To find the remainder when (2021)²⁰²² is divided by 337,

Firstly, divide 2021 from 337.

The remainder of 2021/337 is 336.

Or the remainder can be written in negative as -1.

So the remainder of (2021)²⁰²² when divided by 337,

(2021)²⁰²²/337 = (-1)²⁰²² = 1

The required remainder of (2021)²⁰²² when divided by 337 is 1.

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From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.

The proportion and the standard error for each sample are given by:

[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]

[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]

The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:

[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]

Hence, the standard error is of 0.0558.

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Answer:

That's is not Different

Step-by-step explanation:

Including to 2000 and 6666 itself is not Different

Answer:

Step-by-step explanation:

Given function:

Zero of the function:

Vertical asymptotes:

Horizontal asymptotes:

The graph with asymptotes and zero is attached

Answer:

90081???

Step-by-step explanation:

[tex] \: \: \: \: \: \: [/tex]

[tex] = 3a ^{4} \times (7 {a}^{5} - 2)[/tex]

Step-by-step explanation:

[tex]21 {a}^{9} - 6 {a}^{4} [/tex]

[tex] = 3 {a}^{4} \times (7 {a}^{5} - 2)[/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer:

the answer to (-7/10)(2/5) is -7/25.

or if you need decimal form it is -0.28

Step-by-step explanation:

Answer:

a) A. Arithmetic Sequence

b) A. Arithmetic Sequence

c) A. Arithmetic Sequence

d) A. Arithmetic Sequence

e) B. Not an arithmetic Sequence

Step-by-step explanation:

if there is a common difference it is arithmetic, if there not then it is not arithmetic.

a) d= 3

b)d=3

c)d=2

d)d=-4

e)not arithmetic

Answer:

I would say muscular

Step-by-step explanation:

none of these are really wrong, but muscular intelligence should be bodily intelligence

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

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4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA

Hope it helps you....

Please mark as brainlliest

Answer: 10,500 hits

Step-by-step explanation:

I WANT BIG BRAIN! I WANT BIG BRAIN AHAHHHHHHH!!!!!!!

ok there are a number of ways to go about this

it is unclear whether or not the YT content creator will get one pound for 500 hits

i honestly dont know but i am going to assume it will

1000 times 20 (we are plugging in a test variable, 20, here)

so lets say we have 20,000 hits

lets divide that by 1000 and we get 20. 20 times 2 is 40 pounds so obviously thats too much

lets try 1000 times 10

so we have 10 times 2 and thats 20 pounds. we are closer

10,500 hits

(i put in 500 because half of 1000 is 500 and that will give you one pound instead of two)

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

Given :

f(x) = 3x-7 , when x>0

and f(x) = -2x+3 x<0

as 6 is greater than 0, we get that :

f(6) = 3(6)-7

=> f(6) = 18-7

=> f(6) = 11

hence, option a) is correct

The value of f(6) is 11 using the equation f(x)= 3x-7.

To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.

Substituting x = 6 into the equation:

f(6) = 3(6) - 7

f(6) = 18 - 7

f(6) = 11

Therefore, the value of f(6) is 11.

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Answer:

11z/4+3/10

Step-by-step explanation:

Distribute first then combine like terms.

Hai drink 11/24 gallons of water in all day

Two or more expressions with an Equal sign is called as Equation.

Given,

Hai has 1 gallon jug of water.

Drinks 1/8 gallons of water before lunch

2/3 gallons of water after lunch.

We need to find how much water did Hai drink all day.

Now we have to add the water he drink.

1/8+2/3

LCM of 8 and 3

3+8/24

11/24

Hence, he drink 11/24 gallons of water in all day.

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Answer:

A) Translation

Step-by-step explanation:

Since the triangle didn't turn at all it isn't rotation.

Since the triangle wasn't flipped over a line it isn't reflection.

Since the size of the triangle wasn't changed it isn't dilation.

That leaves translation.

Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.

For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

In this problem:

The probability that at least one household has a television set 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_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]

0.99999984 = 99.999984% probability that at least one household has a television set.

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It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

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

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

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Answer:

5.4*0.08=0.432 or

43 cents

Hope This Helps!!!

Answer:

135/45 =3

180=45 multiple by 4

180/60=3

240=60 multiple by 4

It is divide.by 3 and multiply by 4

hence =80 multiply 4= 320

We have that for the Question, it can be said that

The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is

From the question we are told

Janine is 25 and has a good job at a biotechnology company.

Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.

Generally the equation for the IRA Amount  at Retirement  is mathematically given as

IAR= 5000 * 1.08^(40)

=  108622.6

Since estimate is at

$875,000  

Therefore

Accumulation in 401,000 = 875000 - 108622.6

Accumulation in 401,000 = 766377.4

Hence

The amount of money  Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is

$ 766377.4

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Answer:

10.9

Step-by-step explanation:

Answer:

54.7 yards

Step-by-step explanation:

1 meter = 1.094 yards

50 meters = 54.7 yards