let the pmf of yn be pn(y)=1, y = n, zero elsewhere. show that yn does not have a limiting distribution. (in this case, the probability has "escaped" to infinity.)

It's false. Take x = -1, then

cos⁻¹(-(-1)) = cos⁻¹(1) = 0

but

-cos⁻¹(-1) = -π

1.  the solutions to the equation (x+5)² = 9 are x = -8 and x = -2.

2.Clare's reasoning correctly yields the solutions x = -2 and x = -8, which match the solutions obtained through completing Tyler's work.

1. Let's complete Tyler's work and solve the equation:

(x+5)² - 9

(x+5)(x+5) = 9

Using the FOIL method (First, Outer, Inner, Last) to expand the product:

x(x+5) + 5(x+5) = 9

x² + 5x + 5x + 25 = 9

x² + 10x + 25 = 9

Now, let's rearrange the equation to bring all terms to one side:

x² + 10x + 25 - 9 = 0

x² + 10x + 16 = 0

To solve this quadratic equation, we can factor it:

(x+8)(x+2) = 0

Setting each factor equal to zero:

x+8 = 0 or x+2 = 0

Solving for x in each equation:

x = -8 or x = -2

Therefore, the solutions to the equation (x+5)² = 9 are x = -8 and x = -2.

2. Clare's reasoning is based on the fact that if a squared term equals a constant (in this case, 9), then the square root of that constant will have two possible solutions: one positive and one negative. By considering (x+5) as either 3 or -3, Clare is essentially setting up two separate equations:

x+5 = 3 or x+5 = -3

Solving for x in each equation:

For x+5 = 3:

x = 3 - 5

x = -2

For x+5 = -3:

x = -3 - 5

x = -8

Thus, Clare's reasoning correctly yields the solutions x = -2 and x = -8, which match the solutions obtained through completing Tyler's work.

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Answer:

The correct answer is 4.4.

Step-by-step explanation:

I hope this helps!

Brainliest?

Answer:

4

Step-by-step explanation:

2(x+1)=10

2x + 2 = 10

2x =10-2

x= 8÷2

x= 4

Remember that

change of side = change of sign!!!

Answer:

2

Step-by-step explanation:

12-8/-3-(-5)=4/2

m=4/2

The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division

The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

The polynomial functions are given as:

a(x) = -18x² - 6x + 12

b(x) = 3x³ + 9x - 1

The quotient equation is given as:

a(x)/b(x) = q(x) + r(x)/b(x)

Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:

q(x) = 0

And the remainder r(x) is:

r(x) = a(x)

Substitute known values

r(x) = -18x² - 6x + 12

Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

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Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by .

Using equivalent fractions we have .

Thus, the related rate and unit rate to the ratio of campers to counselors is given by .

The unit rate indicates that for every counselor, there are 5 campers.

Your welcome :3

Hello,

Answer:

12⁰ = 1

Step-by-step explanation:

We have any number with exponent 0 = 1  

(a⁰) = 1

Answer:

23 miles

Step-by-step explanation:

12.76=13

3.45=3

6.52=7

13+3+7=23

Answ

23!!!

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Put the 2 in place of the f then the 3 in place of g. You would get a problem that looks like 2(-1) + 3(5). Multiply 2(-1)= -2 and multiply 3(5)=15. Your equation now looks like -2 + 15. Just add the two to get 13.

-2 + 15= 13

The distance between the tractor and the bale at this moment is 1 meter.

To determine the distance between the tractor and the bale at the given moment, we can use the concept of relative motion.

The distance between the tractor and the bale is the difference in their positions. Since the tractor is moving at a speed of 3 m/s and the bale is rising at a speed of 2 m/s, their relative speed is the difference between the two speeds, which is 3 m/s - 2 m/s = 1 m/s.

To find the distance, we can use the formula:

Distance = Speed × Time

In this case, the relative speed is 1 m/s. Since the tractor and the bale are moving in the same direction, we can assume that their speeds are constant over the given time. Therefore, we don't need to consider the time in this calculation.

So, the distance between the tractor and the bale at this moment is 1 meter.

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Answer: <

Step-by-step explanation: 1/10 is less that 2/5

Answer:

x = 6 and y = -2

Step-by-step explanation:

If you plug it in,

y = -x + 4

-2 = - 6 + 4

- 2 = -2

x - 3y = 12

6- 3(-2) = 12

6 - (-6) = 12

12 = 12

Answer:

  D.  a[1] = 12; a[n] = 33·a[n-1]

Step-by-step explanation:

You can make the correct choice by seeing what you get with n=1 and n=2 in the various expressions.

In general,

  an = a1·r^(n-1)

For n=1, the value of this is ...

  a1 = a1·r^(1-1) = a1·r^0 = a1 . . . . as you expect.

That is, the a1 term of the recursive formula is the leading coefficient in the explicit formula.

__

For n=2, you have ...

  a2 = a1·r(2-1) = a1·r

That is, the previous term was multiplied by r. In the given explicit formula, r=33, so the recursive formula will tell you ...

  a[n] = 33·a[n-1]

__

Altogether, we have ...

  \(\boxed{a_1=12,\ a_n=33a_{n-1}}\)

Answer:

he need 5.7 inches to tie the boat to the dock

Answer:

5.7 inches of ropes to tie his boat to a dock

The percent increase of the insurance premium is 1%

From the question, we have the following parameters that can be used in our computation:

Initial = $3,600 per year

Final = $3,636 per year

The percent increase can then be calculated using

Percentage increase = (Final amount - Initial amount)/Initial amount * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage increase = (3,636 - 3,600)/3600 * 100%

Evaluate

Percentage increase = 1%

Hence, the percentage increase is 1%

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If a sample mean is 37, (32, 42) is most likely the range of possible values that best describes an estimate for the population mean. The correct option is C.

In math, a mean is the average of a data set, which is calculated by adding all of the numbers together and then dividing the sum of the numbers by the number of numbers.

Assuming a moderate sample size (e.g., n = 30) and a typical population standard deviation (e.g., σ = 10), the SEM can be estimated to be approximately 2.

Using this estimate, the range of possible values for the population mean can be calculated as:

37 - x = 33

37 + 2 * 2 = 41

Therefore, the most likely range of possible values for the population mean is option C.

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Step-by-step explanation:

f(5) = 2(5) = 10

hope this helps

The inequality that represents the amounts in dollars that could be deposited in a new checking account is a ≥ 75.

This inequality states that "a" must be greater than or equal to 75 dollars, which is the minimum deposit required for opening a new checking account.

the inequality "a ≥ 75" represents the amounts in dollars that could be deposited in a new checking account, where "a" is the amount being deposited and must be greater than or equal to $75.

To represent this mathematically, we can use an inequality. An inequality is a statement that compares two values using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "! =" (not equal to).

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Answer: 15,840 yards

Step-by-step explanation: First found out how many yards are in a mile: 1760. Then multiply by 1760 by 9. Which will give you 15,840.

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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The linear function from the table is given as follows:

C(t) = 80t + 22.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

When t increases by 1, c(t) increases by 80, hence the slope m is given as follows:

m = 80.

Hence:

C(t) = 80t + b.

When t = 1, C(t) = 102, hence the intercept b is given as follows:

102 = 80 + b

b = 22.

Hence the equation is:

C(t) = 80t + 22.

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Answer:

B

Step-by-step explanation:

\(Z^{2}N^{3}\)

Cross 3 and 2

Z has 2 and and  N have 3

Step-by-step explanation:

What's 11,000lb in tons

it 5.5 us tone

Peter the rabbit have  51 carrots are left.

one fourth means A quarter is represented in mathematics using fractions. Mathematically, a quarter fraction is a whole divided into four equal parts. where 1 indicates the part being referenced and 4 indicates the number of parts the whole is divided into. In numeric format, it is written as ¼.

so total carrot is 84

and he ate one fourth on that day

so remaining are

84*1/4= 21

21 he eat on that the then remaining =

84 - 21  = 63

63 carrots are remain for next day and

he eat 12 carrot on next day

so remaining = 63 - 12 = 51

so 51 carrot left .

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Answer:

A. x/5 - 6 > -4

Step-by-step explanation:

The graph shows that x > 10. We need to solve each of the inequalities. After we do, we see that A is the answer.

A. x/5 - 6 > -4

x/5 > 2

x > 10

Answer:

T>28

Step-by-step explanation:

Multiply 4 to both sides to get your variable alone.

In simplified form:

sec θ = -7

csc θ = 7√3/12

cot θ = 7√3/12

cos θ = -1/7

Let's reconsider the problem with the given information:

sec θ = -7

tan θ > 0

sin θ = 4√3/7

Using these values, we can find the remaining trigonometric functions of θ.

To find cos θ, we can use the identity: cos² θ + sin² θ = 1.

Since sin θ = 4√3/7, we have:

cos² θ + (4√3/7)² = 1

cos² θ + 48/49 = 1

cos² θ = 1 - 48/49

cos² θ = 1/49

cos θ = ±1/7

Given that sec θ = -7, we can determine that cos θ = -1/7.

To find csc θ, we can use the identity: csc θ = 1/sin θ.

csc θ = 1/(4√3/7)

csc θ = 7/(4√3)

To find cot θ, we can use the identity: cot θ = 1/tan θ.

cot θ = 1/tan θ

cot θ = 1/(4√3/7)

cot θ = 7/(4√3)

Recapping the results:

sec θ = -7

csc θ = 7/(4√3)

cot θ = 7/(4√3)

cos θ = -1/7

In simplified form:

sec θ = -7

csc θ = 7√3/12

cot θ = 7√3/12

cos θ = -1/7

Please note that the given values for sin θ, sec θ, and tan θ imply that θ does not fall in any of the quadrants where these trigonometric functions have conventional positive values.

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4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

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Answer:

angle 6 is 113 degrees.

Step-by-step explanation:

This is due to the corresponding angles theorem: two corresponding angles will have the same angle.