Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawsons annual premium? use the table. $819. 00 $1040. 40 $1859. 40 $2463. 40

Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

The sample size should be 24.

What is the sample size?

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Here, we have

Given

Margin of error = 300

confidence level = 0.9

standard deviation = 900

Assuming the standard deviation to be of population

ME = Z(0.1/2) × σ/√n

300 = 1.645 × 900/√n

n =  {(1.645 × 900)300}²

n = 24

Hence, the sample size should be 24.

To learn more about the sample size from the given link

https://brainly.com/question/24158610

#SPJ4

Answer:

y - 1 = 3/4 * (x + 6)

Step-by-step explanation:

Answer:

590

Step-by-step explanation:

Answer: Therefore, 14% of cats and dogs got shelter during the day.

Step-by-step explanation:

cats = 5/50 * 100%

    = 5*2% = 10%

dogs = 2/50* 100%

       = 2*2% = 4%

so

= 10% + 4% = 14%

Answer:

Option A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

A.) The function is being translated down 5 units

B.) The function is being stretched vertically stretched by 2 units

C.) He function is being translated 5 units to the right

D.) The functions being flipped and vertically stretched by 3 units

Hope this helps in some way!

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

To know more about  Spherical harmonics visit

https://brainly.com/question/23067012

#SPJ11

Answer:

It depends what the school looks like on the map. The school is a quadrilateral if it has 4 sides. The school is a parallelogram if it has at least 1 pair of parallel sides.

Answer:

k = - 5

Step-by-step explanation:

calculate the slope between the 2 points using the slope formula and equate to 9

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, k ) and (x₂, y₂ ) = (1, 4 )

m = \(\frac{4-k}{1-0}\) = \(\frac{4-k}{1}\) = 4 - k

then equating to 9

4 - k = 9 ( subtract 4 from both sides )

- k = 5 ( multiply both sides by - 1 )

k = - 5

Answer:

14 hamburgers

Step-by-step explanation:

The problem uses division, but we can create a proportion to see how the division works.

Since we know that Chelsea can make 1 hamburger with 0.16 pounds and allow x to represent the number of burgers Chelsea can make with 2.24 lbs of meat, we have:

\(\frac{2.24}{x}=\frac{0.16}{1}\)

\(2.24=0.16x\)

As the proportion shows, we can divide 2.24 by 0.16 to get x = 14.

Check: 0.16 lbs * 14 patties = 2.24 lbs

Answer:

254.47 (exact)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute and calculate

Answer:

The midpoint is (-4.5,.5)

Step-by-step explanation:

To find the x coordinate, add the x coordinate of the ends and divide by 2

(-1+-8)/2 = -9/2 = -4.5

To find the y coordinate, add the y coordinate of the ends and divide by 2

(5+-4)/2 = 1/2 =.5

The midpoint is (-4.5,.5)

Answer:

35/12 miles per hour

Step-by-step explanation:

Take the number of miles and divide by the hours

35 miles /12 hours

35/12 miles per hour

Answer:

2 miles per hour

Step-by-step explanation:

Answer:

28.8 yd^2

Step-by-step explanation:

Area of triangle = (1/2) · b · h

Base = 9 yd

Height = 6.4 yd

We take

(1/2) · 9 · 6.4 = 28.8 yd^2

So, the area of the triangle is 28.8 yd^2

The solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

The equation 4x^2 - 20x + 25 = 10 can be rewritten as 4x^2 - 20x + 15 = 0. To find the solutions to this equation, we can factor it or use the quadratic formula.

The equation factors as (2x - 5)(2x - 3) = 0. Setting each factor equal to zero, we get 2x - 5 = 0 and 2x - 3 = 0. Solving these equations, we find x = 5/2 and x = 3/2.

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± sqrt(b^2 - 4ac)) / 2a, we can determine the solutions.

In this case, a = 4, b = -20, and c = 15. Substituting these values into the quadratic formula, we get x = (-(-20) ± sqrt((-20)^2 - 4 * 4 * 15)) / (2 * 4), which simplifies to x = (20 ± sqrt(400 - 240)) / 8.

Simplifying further, we have x = (20 ± sqrt(160)) / 8, which becomes x = (20 ± 4sqrt(10)) / 8. Finally, simplifying again, we obtain x = 5/2 ± sqrt(10)/2, which gives us the same solutions as before: x = 5/2 and x = 3/2.

Therefore, the solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

To find the solutions to the equation, we can either factor it or use the quadratic formula. In this case, factoring and using the quadratic formula both yield the same solutions: x = 5/2 and x = 3/2. These values of x satisfy the equation 4x^2 - 20x + 25 = 10 when substituted back into the equation.

To know more about solving quadratic equations, refer here:

https://brainly.com/question/30398551#

#SPJ11

Answer:

Crackers $1

Cheese $9

Jam $4

Butter $9

1+9+4+9

= $23

Answer:

(-1,2)

Step-by-step explanation:

90 degree rotation from (a,b) is (-a,b)

To convert 4 hours and 45 minutes to a fraction, we need to first convert the minutes to hours by dividing by 60 and then add the result to the 4 hours.

4 hours and 45 minutes = 4 + 45/60 hours = 4 + 0.75 hours

Now, we can write this as a fraction by expressing the decimal part as a fraction:

4 + 0.75 = 4 + 3/4 = (4*4 + 3)/4 = 19/4

Therefore, 4 hours and 45 minutes is equal to 19/4 when expressed as a fraction in simplest form.

The answer is (B) 4 3/4.

The probability that both the bolt and nail meet the specification is 0.8004. The probability that the bolt does not meet specifications is 0.08. The probability that at least one of the two does not meet specifications is 0.1996.

Given: the probability of bolts meeting the specification is 92%, the probability of nails meeting the specification is 87%. Since the bolt and nail are selected independently, we can use the multiplication rule of probability to calculate the probability of both the bolt and nail meeting the specifications.

Part A: Probability of bolt meeting specification P(Bolt) = 0.92

Probability of nail meeting specification P(Nail) = 0.87

We need to find the probability of both bolt and nail meeting specifications, i.e.,

P(Bolt ∩ Nail)P(Bolt ∩ Nail) = P(Bolt) × P(Nail)P(Bolt ∩ Nail) = 0.92 × 0.87

P(Bolt ∩ Nail) = 0.8004

Therefore, the probability that both the bolt and nail meet the specification is 0.8004.

Part B: Probability of bolt meeting specification P(Bolt) = 0.92

Probability of nail not meeting specification = 1 - P(Nail) = 1 - 0.87 = 0.13

We need to find the probability that the bolt meets specifications, but the nail does not, i.e.,

P(Bolt) × P(Not Nail)P(Bolt) × P(Not Nail) = 0.92 × 0.13P(Bolt) × P(Not Nail) = 0.1196

Therefore, the probability that the bolt meets specifications, but the nail does not is 0.1196.

Part C: Probability of bolt not meeting specification = 1 - P(Bolt) = 1 - 0.92 = 0.08

Therefore, the probability that the bolt does not meet specifications is 0.08.

Part D: We need to find the probability that at least one of the two does not meet specifications. This can be calculated by taking the complement of the probability that both meet specifications.

P(At least one) = 1 - P(Bolt ∩ Nail)P(At least one) = 1 - 0.8004P(At least one) = 0.1996

Therefore, the probability that at least one of the two does not meet specifications is 0.1996.

Learn more about probability visit:

brainly.com/question/31828911

#SPJ11

There are a total of 180 three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once.

There are a total of 7 digits that can be used to form three-digit numbers: 0, 1, 2, 3, 4, 5, and 6. However, since we cannot have a leading zero, we have to subtract one from the total number of digits for the first position. Therefore, we have 6 choices for the first digit, 6 choices for the second digit (since one has already been used), and 5 choices for the third digit (since two have already been used). To find the total number of three-digit numbers that can be formed, we simply multiply the number of choices for each digit:
6 x 6 x 5 = 180

You can learn more about three-digit numbers at: brainly.com/question/12992284

#SPJ11

Answer:

39

Step-by-step explanation:

10 groups of 3 equals 30 so just add the 9 and that equals 39

Given:

Chandra get a bonus if average quarterly sales for an year exceeds $70000.

From the bar diagram, we can find the sales for each quarter.

The height of each bar gives the sales for each quarter.

Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.

The sales for the first quarter is $40000.

The sales for the second quarter is $100000.

The sales for the third quarter is $80000.

Let x be the sales for the fourth quarter.

Now, the average of the quarterly sales is,

Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.

So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.

Hence, option D is correct.

Answer:

(5,9)

Step-by-step explanation:

x= 5

y= 2x-1

y= 2(5)-1

y=9

x=5----> (5,9)

Each guest receive 352 gm veal roast.

The pound is a unit of measurement used in the U. S. customary system and the British imperial system to measure weight. One familiar use of pounds is measuring how much a person weights.

We know that,

1 pound = 453.592 gm

12.4 pound = ? gm

12.4 pound = 12.4×453.592

                   = 5624.541 gm

Total number of guest = 16

Then,

Each guest receive veal roast = \(\frac{5624.541 gm}{16}\)

                                                 = 352 gm

Hence, Each guest receive veal roast is 352 gm.

To learn more about pound from the given link:

https://brainly.com/question/25973294

#SPJ4

Answer:

Step-by-step explanation:

x² + 25 = 36 ⇒ x = √11 ≈ 3.3

5y = 11 ⇒ y = 11 ÷ 5 = 2.2

z = y + 5 ⇒ z = 7.2

Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

a. The total amount of money deposited in the bank as a result of these transactions is $3333.33.

b. The credit multiplier for this example is 33.33.

a. The total amount of money deposited in the bank as a result of these transactions can be found by summing up the amounts loaned out and eventually redeposited.

Starting with the original deposit of $100, 97% of it, which is $97, is loaned out. This $97 is then redeposited in the bank.

From this redeposited amount, 97% is loaned out again, which is $97(0.97) = $94.09. This $94.09 is also redeposited in the bank.

Continuing this process, we can find the total amount of money deposited in the bank.

After multiple rounds of lending and redepositing, we can observe that each new round decreases by 3%.

To calculate the total amount of money deposited, we can use the formula for the sum of a geometric series:

Total amount deposited = original deposit + (original deposit * lending percentage) + (original deposit * lending percentage^2) + ...

In this case, the original deposit is $100, and the lending percentage is 97% or 0.97.

Using the formula, we can find the total amount of money deposited by summing up each round:

$100 + $97 + $94.09 + ...

This is an infinite geometric series, and the sum of an infinite geometric series is given by:

Sum = a / (1 - r)

Where "a" is the first term and "r" is the common ratio.

In this case, "a" is $100 and "r" is 0.97.

Plugging in these values into the formula, we get:

Total amount deposited = $100 / (1 - 0.97)

Total amount deposited = $100 / 0.03

Total amount deposited = $3333.33 (rounded to 2 decimal places)

Therefore, the total amount of money deposited in the bank as a result of these transactions is $3333.33.

b. Now let's calculate the credit multiplier for this example.

The credit multiplier is the ratio of the total amount of money deposited to the original deposit.

Credit multiplier = Total amount deposited / Original deposit

Credit multiplier = $3333.33 / $100

Credit multiplier = 33.33 (rounded to 2 decimal places)

Therefore, the credit multiplier for this example is 33.33.

Learn more about 'credit':

https://brainly.com/question/13964348

#SPJ11

The geometric shape with 6 side is called hexagon

A six-sided shape is called a hexagon. The term "hexagon" comes from the Greek words "hexa" which means "six" and "gonia" which means "angle."

A hexagon is a polygon, which means it is a closed plane figure with straight sides. It has six sides, six angles, and six vertices (or corners). The six sides of a hexagon are all of equal length and the six angles are all of equal measure, which is 120 degrees.

There are many real-world examples of hexagons, including honeycombs, the cells in a beehive, and the shapes of some crystals. The hexagon's unique shape and symmetry have made it a popular choice in art and design, such as in patterns and tessellations.

Therefore, the 6 sided shape is called hexagon

Learn more about hexagon here

brainly.com/question/3295271

#SPJ4