Look below for images I will give brainliest whoever gets its right! There are 5 trigonometry problems.

Look Below For Images I Will Give Brainliest Whoever Gets Its Right! There Are 5 Trigonometry Problems.
Look Below For Images I Will Give Brainliest Whoever Gets Its Right! There Are 5 Trigonometry Problems.
Look Below For Images I Will Give Brainliest Whoever Gets Its Right! There Are 5 Trigonometry Problems.
Look Below For Images I Will Give Brainliest Whoever Gets Its Right! There Are 5 Trigonometry Problems.
Look Below For Images I Will Give Brainliest Whoever Gets Its Right! There Are 5 Trigonometry Problems.

Answers

Answer 1

The measures of the angles and the values of the trigonometric functions are as follows;

33 (e) The angle is (450 - π)°

34 (f) The reference angle is 75°

40 (e) cos(θ) = -8/9

43 (e) sin(θ) = √3/2

What are trigonometric functions?

The trigonometric functions provides the relationships between an angle and the three sides of a right triangle.

33 (e) The measure of the angle from the curve of the angle mark is found as follows;

The angle turned = 360 + (90 - θ)

Where; θ = π

Angle = 360° + (90 - π)° = (450 - π)°

34 (f) The reference angle is smallest (acute) angle made by the terminal side and the x-axis.

From the diagram, the reference angle is 360° - 285° = 75°

40 (e) The angle is in the Quadrant III

cos(θ) in Quadrant III is -cos(φ), where;

φ = θ - 180

From the diagram, cos(φ) = 8/√((-8)² + 17)

cos(θ) = -8/(√((-8)² + 17)) = -8/9

40 (f) The angle is in Quadrant II

sin(θ) = sin(φ), where; φ = 180 - θ

Therefore;

sin(φ) = 5/√((-3)² + 5²) = 5/√(34)

sin(θ) = sin(φ) = 5/√(34)

43 (e) sin(120°) = sin(180° - 120°) = sin(60°) = √3/2

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Related Questions

I need help to understand this problem cause I forgot how to do it.

Answers

Answer:

f (-4) = -5

Step-by-step explanation:

Look at the graph and see the y coordinates when x = -4.

Here, when x = -4, y = -5.

A pattern ue both addition and ubtraction a it rule. The rule i "Add 12, Subtract 3. " The pattern begin with 41. What i the ixth number in the pattern?

Answers

When the rule reads, "Add 12, Subtract 3," and the pattern begins at 41, the sixth number in the pattern is 71.

What is pattern?

A pattern is defined in mathematics as a sequence of repeated objects, forms, or numbers. A pattern can be associated with any form of event or object. A pattern has a rule that informs us which items belong to the pattern and which objects do not. Patterns are items that repeat logically, such as vertical stripes on a shirt. They can take the form of numbers, pictures, or forms. A pattern constructed of plastic animals, for example, can alternate between two and four legged creatures, or animals that swim and animals that fly.

Here,

pattern begin at 41,

=41+12

=53

=53-3

=50

=50+12

=62

=62-3

=59

=59+12

=71

The 6th number in the pattern is 71 when the rule says, "Add 12, Subtract 3." and pattern start at 41.

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Determine the domain and the range of the function.
f = {(2,4),(29,-7),(44, 4), (54, 2)}

Answers

The domain of the given function is {2, 29, 44, 54} and the range is {-7, 2, 4}.

What are the domain and range of functions?

The domain of a function represents the set of input values to the function and the range of a function represents the set of output values for the domain of the function.

Domain - {x coordinates of the points in a function}

Range - {y coordinates of the point in a function}

Calculation:

The given function is

f = {(2, 4), (29, -7), (44, 4), (54, 2)}

So, the x coordinates of the function are formulated in a set as {2, 29, 44, 54} and the y coordinates are {-7, 2, 4}

Where output 4 is repeated.

Then, the domain of the function is given by the set {2, 29, 44, 54} and the range of the function is given by the set {-7, 2, 4}.

The mapping of the given function is shown in the figure below.

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Let X = {x|x is a whole number less than 10} and Y= {-3, -2, 1, 3, 5, 7, 20). Find XU Y.

Answers

The number of elements of set (XUY) = 8

What is set?

A set is simply an organized collection of distinct objects forming a group and can be expressed in set-builder form or roaster form.

Let X = {x|x is a whole number less than 10} and Y= {-3, -2, 1, 3, 5, 7, 20). .

Means write all the elements in X and Y, then

X = {x|x is a whole number less than 10}

Means write the common elements in X and Y

Y= {-3, -2, 1, 3, 5, 7, 20).

Since there are no common elements in X and Y, then

(XUY) is null set.

The number of elements in (XUY)  is 4 + 4 = 8 elements

Then (XUY) = 8

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A diver is at an elevation of -18 feet relative to sea level. The diver descends to an undersea cave that is 4 times as far from the surface

What is the elevation of the cave?


A: -14 feet

B: -18 feet

C: -22 feet

D: -72 feet

Answers

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A jumper is at a height of - 18 feet comparative with ocean level. The jumper plunges to an undersea cavern that is 4 times as distant from the surface

The elevation of the cave is given as,

Elevation = - 18 x 4

Elevation = - 72 feet

The elevation of the cave in feet will be negative 72 feet. Then the correct option is D.

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Solve the following inequality using the algebraic approach:
x + 2 greater-than 3 x minus 8
a.
x greater-than negative 5
b.
x less-than negative 5
c.
x less-than 5
d.
x greater-than 5

Answers

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Here,  we can solve the inequality x + 2 > 3x - 8 as follows :

We get 2 on both sides of an inequality by the process of subtraction

or, x + 2 - 2 > 3x - 8 -2

or,  x > 3x -10

We get  10 on both sides of an inequality by the process of addition

or, x +10 > 3x -10 + 10

or, x + 10 > 3x

We get x on both sides of an inequality by the process of subtraction

or, x + 10 -x > 3x -x

or, 10 > 2x

We get 2 into both sides of an inequality by the process of division

or, 5 > x

Therefore, x < 5.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

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if x and t represent distance and time, respectively, the c in x = 1/2ct 2 must

Answers

C have dimension of [tex]\frac{L}{T^2}[/tex] in the given equation.

What is dimension of physical quantity?

The term "dimension" refers to the power to which the fundamental quantities are magnified in order to express a physical quantity. The letters [M], [L], and [T] stand for mass, length, and time, respectively.

given the equation is:

x = [tex]\frac{1}{2}Ct^2[/tex]

and given that x represents distance and t represents time

as we know Dimension of x id L and dimension of time is T

and according to dimensional analysis dimesion of Left side must be equal to dimension to Right side.

let [x] denote dimension of x

so [x] = [C] [[tex]t^2[/tex]]

as [x] = L and [[tex]t^2[/tex]] = [tex]T^2[/tex]

L = [C] *  [tex]T^2[/tex]

so [C]  = [tex]\frac{L}{T^2}[/tex]

so dimenstion of C is  [tex]\frac{L}{T^2}[/tex]

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suppose that 45% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction

Answers

Answer:

0.2025 or 20.25%

Step-by-step explanation:

The problem says the probability of ONE person having a Dog is 45%

This is 0.45 in decimal form

But what are the chances TWO random people BOTH have Dogs. The chances would decrease!

To find the probability, you need to multiply the probability of one person by the probability of another person. They both have the same probability of having a Dog.

This looks like:

0.45 (person 1)  × 0.45 (person 2) = 0.2025

The number of times 0.45 is in the equation above is the same number as the people in the problem!

A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1,6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?

Answers

Answer:

$860.10

Step-by-step explanation:

Jen Butler ha been pricing​ Speed-Pa train fare for a group trip to New York. Three adult and four children mut pay $129 Two adult and three children mut pay $92 Find the price of the​ adult' ticket and the price of a​ child' ticket

Answers

The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.

The price of the​ adult ticket and the price of a​ child ticket can be calculated by using algebraic expressions as follows;

Considering adult ticket price = y and child ticket price = x;

The algebraic equations for tickets can be given as follows;

3y + 4x = $129

2y + 3x = $92

Now we can calculate y as follows;

3y + 4x = 129

3y = 129 - 4x

y = 129 - 4x / 3

Adding this value of y in the second equation as follows;

2y + 3x = 92

2(129 - 4x / 3) + 3x = 92

258 - 8x / 3 + 3x = 92

258 - 8x / 3 = 92 - 3x

258 - 8x = 3(92 - 3x)

258 - 8x = 276 - 9x

9x - 8x = 276 - 258

x = $18

Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;

2y + 3x = 92

2y + 3(18) = 92

2y + 54 = 92

2y = 38

y = 38 / 2

y = $19

Therefore the price of an adult ticket is $19.

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If the function g is defined as g(x)=3x2−5(x+2), what is the value of g(4)?

Answers

The value of the function g(x) at g = 4 is 18.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is a function g(x) as follows -

g(x) = 3x² - 5(x + 2)

We have the following function as -

g(x) = 3x² - 5(x + 2)

For g(4), we can write -

g(4) = 3 x (4)² - 5(4 + 2)

g(4) = 3 x 16 - 5 x 6

g(4) = 48 - 30

g(4) = 18

Therefore, the value of the function g(x) at g = 4 is 18.

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What is the solution to the linear equation?
-12+36-1=-5-b
O b = -2
O b = -1.5
O b = 1.5
O b=2

Answers

Answer: b = -2

Step-by-step explanation:Its Oviedo

Answer:

Step-by-step explanation:

SOOOO you would first start by....

ADDING 5 TO BOTH SIDES

You would get -12 + 36 -1 + 5 = -b

cause

addition is the opposite of subtraction and

now the -5 on the right side will be moved to a plus 5 on the left. This isolates the -b term.

Add up the right side and you get 28 = -b

So next up is a very interesting step.

Multiply both sides by -1, which results in negative terms becoming positive and positive terms becoming negative.

THEREFORE

You get the answer to b = -28

which is none of the answers above

thank me

FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value

Answers

variability.

In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.

There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values ​​in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.

In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.

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for a random sample of 90 such pairs, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?

Answers

The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .

As stated in the assertion

The sample n has been provided, and we need to determine the sample's standard deviation.

For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.

The value of alpha is given as,

alpha = 1.6.

Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and

s = alpha/ 90 s

= 1.6/9.48 s

= 0.168

Therefore, 0.168 is the x distribution's standard deviation.

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Use given information to prove that angle DHF = EHG. Write in two-column proof.

Answers

After solving the equation the required solution is ∠DHG = ∠EHG

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given, ∠1 = ∠3

now,

       ∠DHF = ∠1 + ∠2

and, ∠EHG = ∠3 + ∠2

         ∠EHG = ∠1 + ∠2 (As ∠1 = ∠3)

Hence, ∠DHG = ∠EHG

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List the statements and reasons thanks!

Answers

The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate

How to carry out congruency proof?

From the given items, we see that the congruency proofs are;

Statement 1; ΔEBC ≅ ΔFDC

Reason 1; Given

Statement 2; ∠EAC ≅ ∠ECA

Reason 2; Given

Statement 3; ∠FAC ≅ ∠FCA

Reason 3; Given

Statement 4; AE ≅ A F

Reason 4; SSS congruency postulate

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the table below shows the flight of a golf ball after it was hit from the tee toward the green

Answers

a) The graph is drawn and attached below by using graphing calculator:

b) The equation of the curve of best fit is y=0.75x

c) The horizontal distance of the ball travelled with this hit is 58.33

d)  It does not touch the hall land on the green.

What is a graph?

A relation is shown graphically in a function graph. In set theory and modern mathematics, a function is truly equivalent to its graph. For instance, a codomain should be considered while determining whether or not a function is onto (surjective). A function's graph by itself does not show the codomain.

a) The graph is drawn and attached below by using graphing calculator:

b) The equation of the line of best fit is:

Consider any points from the table,

(0,0) and(30,22.5)

y=mx+c

(0,0)  -----> 0=0+c

c=0

(30, 22.5)

m=0.75

y= (0.75)x

c) The horizontal distance of the ball travelled with this hit is 58.33

d) For 10m ------>5.8m

For 20m ------->x

x=11.6m

For 120m it will be near to the ground,

16.7-11.6

=5.1m

It does not touch the hall land on the green.

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At his job, Jake earns $7.50 per hour. He also earns a $55 bonus every month. Jake
needs to earn at least $235 every month.

Part A. Jake determines that the inequality 7.50h + 55 ≥ 235 can be used to calculate
the number of hours he needs to work each month. Explain why the symbol ≥ is used
within the inequality.

Part B. Solve and graph the solution set for the number of hours Jake needs to work
each month.

Answers

a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.

b) The solution to the inequality is given as follows:

h ≥ 24.

This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.

How to solve the inequality?

The inequality in this problem is defined as follows:

7.50h + 55 ≥ 235.

It gives the number of hours that Jake must work to earn at least $253.

The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.

The solution is then obtained as follows:

7.50h + 55 ≥ 235

7.5h ≥ 180

h ≥ 180/7.5

h ≥ 24.

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Calculate the perimeter of the irregular shape . Please show ur work Bc I have too !!

Answers

Therefore, the perimeter of the irregular shape is 34cm .

What is perimeter?

Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. The outermost border of an ellipse or circle is its circumference.

Here,

The perimeter of the irregular shape is

Given:

9 cm is the length of the below line and 4cm , 3cm and x is the length of the above line .

So x value is => 9 = 4 + 3+x

=> 9-7 = x

=>x= 2cm

and

thus we get all the length of the irregular shape

so adding =>

=> 4+2+3+2+3+6+5+9=  34 cm

Therefore, the perimeter of the irregular shape is 34cm .

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Caleb wa out at a retaurant for dinner when the bill came. Hi dinner came to $21. He wanted to leave a 31% tip. How much wa hi meal plu the tip, before tax, in dollar and cent

Answers

If Caleb dinner was for $21 then the total bill including tip will be $27.51   .

Caleb went out for the dinner ;

the amount for the dinner = $21 ;

the percent of tip that Caleb want to leave = 31% ;

that means ; tip amount = 31% of dinner amount ;

So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;

the tip amount = $6.51 ;

the total bill = bill for dinner + tip amount = $21 + $6.51 ;

= $27.51 .

Therefore , the total bill amount is 27 dollars and 51 cents   .

The given question is incomplete , the complete question is

Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?

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At a book fair the ratio of the number of tudent to the number of adult i 4:3 after 169 tudent left the book fair the ratio became 4:5 how many adult were there at the book fair

Answers

If the ratio of the number of students and adults in the book fair is 4:3, the new ratio when 169 students left the fair is 4:5, then the number of adults in the book fair is 318

Let the number of students be 4x

Let the number of adults be 3x

When 169 students left the fair, number of students left = 4x - 169

According to question,

(4x-169)/3x = 4/5

⇒ 5(4x-169) = 4×3x

⇒ 20x - 845 = 12x

⇒ 20x - 12x = 845

⇒ 8x = 845

⇒ x = 845/8

⇒ x = 105.625

⇒ x = 106

Number of adults = 3x = 3×106 = 318

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If John ha 54 time a many car a Noah' car. How much car doe Noah have if the anwer i 4266?

Answers

If John has 4266 cars, then Noah will have 79 cars

We can solve this question in the following way,

We have been given the condition that John owns 54 times more cars than Noah.

That means,

If Noah owns 1 car, John will own 1*54 = 54 cars

Similarly, if Noah owns 2 cars, John will own 2*54 = 108 cars

This will follow the pattern,

when Noah owns n cars, John will own n*54= 54n cars

In the question, we know that John owns 4266 cars,

That means we know that

54 * n= 4266

We have to calculate how many cars Noah owns, which is n

therefore the value of n will be

n= [tex]\frac{4266}{54}[/tex]

n= 79 cars

Therefore Noah will own 79 cars while John will have 4266 cars.

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Solve the equation included in the picture

Answers

Answer:

[tex]C[/tex]

Step-by-step explanation:

[tex]|2x+2|=10\\\\2x+2=10,2x+2=-10\\\\2x=8,2x+2=-10\\\\x=4,2x=-12\\\\x=4,x=-6[/tex]

For the following data set, calculate the percentage of data points that fall within one standard deviation of the mean, and compare the result to the expected percentage of a normal distribution. {50, 46, 54, 51, 29, 52, 48, 54, 47, 48}.

Answers

According to the normal distribution, 68% of values should fall in one standard deviation from the mean.

Define the term standard deviation?The standard deviation gauges how widely the data deviates from the mean. When comparing data sets that may have the identical mean however a different range, it is helpful.

The standard deviation and the mean of the provided data must first be determined.

Below are the standard deviation and mean

Mean = (50 + 46 + 54 + 51 + 29 + 52+ 48 + 54 + 47 + 48)/10

Mean x = 47.9

Standard deviation: √∑(x - x')²/(n - 1)

s = √(50 -  47.9)² + (46 -  47.9)² + (51 -  47.9)² + .....+ (48 -  47.9)²)/(9)

s = 7.20

We possess:

x' ± s = (47.9 ± 7.2)

x' ± s = (40.7, 55.1)

The proportion of values that are within 1 standard deviation of that mean is thus:

9/10 * 100 = 90%.

According to the normal distribution, 68% of values should fall in one standard deviation from the mean.

As a result, the percentage of values seen to be within 1 standard deviation of a mean is significantly larger than the percentage a normal distribution would predict.

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21. Calculate the future value of a $7,000 after 9
years, when there is an interest rate of 2.05%
with quarterly simple interest payments.
[A] $7,322.88
[D] $8,419.30
[B] $8,414.35
[E] $7,527.31
[C] $6,148.05

Answers

To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:

Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)

Plugging in the values given in the question, we get:

Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)

This simplifies to:Future value = $7,000 * (1.005125) ^ 36

Using a calculator or spreadsheet to calculate this value, we get:

Future value = $8,414.35

Therefore, the correct answer is [B] $8,414.35.

Please help with this

Answers

Answer:

x=45

Step-by-step explanation:

89+112+114+x=360(Sum of angles of a quadrilateral)

315+x=360

x=360-315

x=45

Hope this helps u

Algebra 1: Write and solve two-variable linear equations: word problems

Riley plans to join a members-only speaker series for $50. As a member, she will pay just $12.50 for each event she attends.

Write an equation that shows how the total cost, y, depends on the number of events Riley attends, x.

Do not include dollar signs in the equation.

Answers

Answer:

y = 12.50x + 50

Step-by-step explanation:

The linear equation is y=mx + b

b in this one is 50

And the x  or the slope is 12.50

Select the correct answer.
Which number line represents the solution to |x - 5] <3?

Answers

Answer:

A.

Step-by-step explanation:

since we are using the absolute value this means the result to be between 0 and 3.

the difference to C. is that the endpoints are not included (empty dots). that is correct, because the inequality uses the "<" sign. being equal to 3 is not valid.

but any real number higher than 2 and lower than 8 will provide a valid solution.

the higher or lower numbers used in B. and D. will not create anything between 0 and 3.

Answer:

A

Step-by-step explanation:

find the value of x and y.
(3x+19)°
(4x+14)°
And y ‍♂️

Answers

Answer:

X=34 Y=146

Step-by-step explanation:

3x+19is equal to 4x+14 through this we can look for the value of x which is 34

angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146

Avicenna, a major inurance company, offer five-year life inurance policie to 65-year-old. If the holder of one of thee policie die before the age of 70, the company mut pay out $23,900 to the beneficiary of the policy. Executive at Avicenna are conidering offering thee policie for $956 each. Suppoe that for each holder of a policy there i a 4% chance that they will die before the age of 70 and a 96% chance they will live to the age of 70

Answers

Answer:

Step-by-step explanation:

E(x) = 791*0.97 - 23600*0.03 = 59.27. The answer is positive so they will make a profit of $59.27 for each policy sold.

However the correct answer is $83. By trial and error.

Other Questions
a client with moderately elevated lipid levels requests immediate pharmacotherapy for dyslipidemia. the nurse explains that a period of intensive diet therapy and lifestyle modification will be utilized before drug therapy is considered based on what rationale? ______ is a presidential claim that certain communications with subordinates may be withheld from Congress, the Courts, and the American people. Find the equilibrium partial pressure of I2 at this temperature. Express the pressure to three decimal places and include the appropriate units. PI2 = 0.022atm Incorrect; Try Again; 5 attempts remaining in the battle of manzikert, the seljuk turks under alps arslan wiped out the byzantine field army under the command of emperor romanos iv. the byzantine field army under the command of emperor romanos iv wiped out the army of the saljuq sultan alps arslan. the saljuq turks and byzantine empire fought to a standstill, with neither side achieving victory. the saljuq turks defeated the egyptian army under the command of caliph al-hakim the mad. A consumer products company is formulating a new shampoo and is interestedin foam height (in millimeters). Foam height is approximately normally distributed and has astandard deviation of 20 millimeters. The company wishes to test H0 : = 175 millimeters vsH1 : > 175 millimeters, using the results of n = 10 samples.a) Find the type I error probability if the critical region is x > 185.b) Find the boundary point of the acceptance region if = 0.05 PASTE"" is an alternate assessment tool for ______. Select one: A. cardiac patients. B. stroke patients. C. respiratory patients. D. seizure patients. the nurse is teaching the paraplegic client measures to promote skin integrity. which instructions would be helpful to the client? select all that apply. Which of the following is the correct way to declare a class in C++?A. class Circle{private:double radius;public:void Circle::setRadius(double radius);double Circle::getDiameter();double Circle::getArea();double Circle::getCircumference();}B. class Circle{private:double radius;public:void setRadius(double radius);double getDiameter();double getArea();double getCircumference();};C. class Circle{private double radius;public void setRadius(double radius);public double getDiameter();public double getArea();public double getCircumference();};D. Circle::Circle(double radius){private:double radius = radius;public:void setRadius(double radius);double getDiameter();double getArea();double getCircumference();} if a small increase in the price of a good reduces quantity demanded to zero, demand is and the price elasticity of demand is equal to . group of answer choices perfectly elastic; infinity unit elastic; one perfectly inelastic; zero perfectly elastic; zero Around the world, all the laws governing behavioron the Internet are?the same.well enforced.confusing.hard to enforce. which is the false statement regarding voting rights of variable annuity contract owners? owners can vote for: Write a proof, that AJKN ALMN (15 points)KNMI A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1420 downloads of the song, for a total download size of 5436 MB. How many downloads of the high-quality version were there? A company's new mobile app uses Amazon API Gateway. As the development team completes a new release of its APIs, a developer must safely and transparently roll out the API change.What is the SIMPLEST solution for the developer to use for rolling out the new API version to a limited number of users through API Gateway?A. Create a new API in API Gateway. Direct a portion of the traffic to the new API using an Amazon Route 53 weighted routing policy.B. Validate the new API version and promote it to production during the window of lowest expected utilization.C. Implement an Amazon CloudWatch alarm to trigger a rollback if the observed HTTP 500 status code rate exceeds a predetermined threshold.D. Use the canary release deployment option in API Gateway. Direct a percentage of the API traffic using the canarySettings setting. a network technician is setting up network devices at a remote branch office. a small switch in the corner of the office connects the various workstations using category 6 ethernet cables. a wireless access point in the center of the office connects company ipads. some workstations are given wireless network interface cards (nics) because they are harder to reach. which of the following devices in this scenario are layer 2 devices? (select all that apply.) column array origpricetable contains the price per pound of various deli items. column array changeprice indicates price adjustments for a given column. assign newpricetable with origpricetable plus the newpricetable added to origpricetable's column colnum. ex: if origpricetable is [19.99, 9.99; 14.99, 8.99;], changeprice is [ -1.00; -1.50; ], and colnum is 1, then newpricetable is [18.99, 9.99; 13.49, 8.99;]. James, a network engineer, has been contracted by a company to monitor network performance. In order to know and analyze any problem in a network, James will need to understand how the network functions in a normal state. Analyze which of the following will be of use to James in this scenario.1. Checking the network's performance baseline2. Checking the interface statistics3. Checking if the network is operating at maximum capacity.4. Checking if the connection has jitter. major department stores in a shopping center; important because they draw in many customers who may shop at the smaller stores what similarities exist between the African American experience and the new world? The ion that controls the widest variety of intracellular activities is __________.A) potassiumB) sodiumC) chlorideD) calcium