Suppose a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year. Is this event unusual? Specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year? Know the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009.

Answer:

Copy the triangle.  Rotate it 180° clockwise.  Place it on top of the original triangle so that their diagonals are touching.

This will form a rectangle with length of 9 units and width of 2 units.

Area of a rectangle = width x length

                                 = 2 x 9

                                 = 18 square units

Given the area of the triangle is half the area of the rectangle,

⇒ area of triangle = 18 ÷ 2 = 9 square units

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

In that order. ao(t) is always the function is \($$m_1=A-2 I $$\).

What is function ?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

given: \($\quad d_1=4 \quad$\) and \($A_2=6$\)

\($$m_0=\Sigma=\left[\begin{array}{cc}1 & 0 \\0 & 1\end{array}\right]$$\)

By putzes method

\($$\text { matrix } m_1=A-N_1 p_0=A-d_1 m_0$$\)

here \($r_1=2, m_0=I$\)

\($$m_1=A-2 I $$\)

To learn more about function  visit:https://brainly.com/question/21145944

#SPJ4

Answer:

The and is the third one

Step-by-step explanation:

Answer:

sixty seven thousand two hundred thirty five

Answer:

Sixty seven thousand tow hundred thirty five

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

More about the sets link is given below.

https://brainly.com/question/350477

#SPJ2

The central angle is approximately 2.357 radians.

To find the central angle, we can use the formula:

Central angle (θ) = arc length ÷ radius

Given:

Arc length (mXY) = 18 in

Radius (ZY) = 7.64 in

Plugging in the values:

Central angle (θ) = 18 in ÷ 7.64 in

Calculating the division:

θ ≈ 2.357 radians

Therefore, the central angle is approximately 2.357 radians.

To know more about Central Angle:

https://brainly.com/question/3293818

Answer:-53/12

Step-by-step explanation:

-7 2/3+(-5 1/2)+8 3/4

-7 2/3-5 1/2+8 3/4

-23/3 - 11/2 + 35/4

(4x-23 - 6x11 + 3x35)/12

(-92-66+105)/12=-53/12

The solution to the equation 2(x - 6) + 25 = 49 - 2x is x = 9.

To solve the equation 2(x - 6) + 25 = 49 - 2x for x, we will simplify and isolate the variable x.

Let's start by simplifying both sides of the equation:

2(x - 6) + 25 = 49 - 2x

Expanding the parentheses:

2x - 12 + 25 = 49 - 2x

Combining like terms:

2x + 13 = 49 - 2x

Now, let's isolate the variable x by moving the terms involving x to one side of the equation. We can do this by adding 2x to both sides:

2x + 2x + 13 = 49 - 2x + 2x

Simplifying:

4x + 13 = 49

Next, we'll get rid of the constant term on the left side by subtracting 13 from both sides:

4x + 13 - 13 = 49 - 13

Simplifying:

4x = 36

To solve for x, we'll divide both sides of the equation by 4:

4x/4 = 36/4

Simplifying:

x = 9

For more such questions on equation.

https://brainly.com/question/22688504

#SPJ8

Answer: B) 24

Step-by-step explanation:

      All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.

Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.

      I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.

24 / 2 = 12

24 / 4 = 6

Answer:

7400

Step-by-step explanation:

Answer:

7400

Since

3256 + (74×56)

3256 + 4144

7400

i hope this will help you :)

Answer:

46

Step-by-step explanation:

a straight angle is 180 degrees

it is given that angle 2 is 134 degrees

Angle 1 and 2 will add up to 180

180-134=46

(can I get brainliest please)

Answer: \(-3y^{2} +5x+2\)

Step-by-step explanation:

\(-3y^{2} +2x+2+3x\\2x+3x=5x\\\)

that is all that you can combine so it makes the answer \(-3y^{2} +5x+2\)

Answer:

10

Step-by-step explanation:

2 / 10 = 0.2

2 divided by ten is two-tenths.

Answer: 2 divided by 10 is 0.2

a) (PA) P is a tautology because P is logically equivalent to P v F, and P v F is logically equivalent to P.

b) p (pv) is a tautology because p is logically equivalent to p v T, and p v T is logically equivalent to p.

c) p + ( pa) is a tautology because p is logically equivalent to p v F, and p v F is logically equivalent to p v (p v A).

d) (p) - () is a tautology because p is logically equivalent to p v T, and p v T is logically equivalent to p v F.

e) (P+) - P is a tautology because P+ is logically equivalent to P v T, and P v T is logically equivalent to P.

f) (p) is a tautology because p is logically equivalent to p v F, and p v F is logically equivalent to p.

Learn more about logically equivalent here:

https://brainly.com/question/17363213

#SPJ4

The antiderivative from 1 to infinity is 1.

To use the Integral Test, we need to check whether the series:

∑ (ln(n))/n² from n = 1 to infinity

converges or diverges by comparing it to the integral:

∫ (ln(x))/x² dx from x = 1 to infinity

Using integration by parts, we can solve this integral:

u = ln(x) dv = dx/x²

du = 1/x dx v = -1/x

∫ (ln(x))/x² dx = -ln(x)/x + ∫ dx/x²

= -ln(x)/x - 1/x + C

Evaluating the antiderivative from 1 to infinity:

= [(-ln(infinity)/infinity - 1/infinity) - (-ln(1)/1 - 1/1)]

= 1

Since the integral is finite and positive, and the series terms are positive, we can conclude that the series converges by the Integral Test.

To learn more about Integration refer to:

brainly.com/question/18125359

#SPJ4

Answer:

300000

Step-by-step explanation:

hope this helps

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

for such more question on compounded interest

https://brainly.com/question/20406888

#SPJ8

t = total amount of lbs of Tropical dried fruit

m = total amount of lbs of mixed bag

\(\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}\)

Answer:

x = {7, -1}

Step-by-step explanation:

assuming that you are to find the zeros of the equation you dont need a calculator to do this

you can set both sides to zero

(x - 7) = 0

(x + 1) = 0

and then solve for the zeros

x = {7, -1}

that is your answer

Answer:

2 2/3 hours

Step-by-step explanation:

if the car can go 3 miles per hour that means it can go 10 miles in 2 2/3

It takes to go 10 miles 2 2/3 hours.

We have given that,

A toy car can go 3 mph.

We have to determine, How long would it take to go 10 miles.

A mile is a unit of distance equal to 1760 yards or approximately 1.6 kilometers. Meaning, pronunciation, translations, and examples.

If the car can go 3 miles per hour that means it can go 10 miles in 2 2/3.

To learn more about miles visit:

https://brainly.com/question/1127371

#SPJ2

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer:

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

Learn more about the Least Common Multiple in https://brainly.com/question/30060162

#SPJ1

The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

Learn more about Probability here brainly.com/question/11234923

#SPJ4

The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.

Subtotal is defined as the actual cost of any product when there will not be any taxes or charges are levied on the product.

The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.

To know more about Subtotal follow

https://brainly.com/question/27139464

#SPJ1

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

Learn more about Intersecting Secant-Tangent Theorem on:

brainly.com/question/27160891

#SPJ1