What is the answer to the question?

Answer:

A) $21,000

Step-by-step explanation:

Percentage of down payment that ABC bank requires to be paid = 20%

Price of the house = $10500

Then

Amount of down payment

that needs to be made = (20/100) * 105000

                                    = 21000 dollars

The answer is A) $21,000

20% is 1/5

1/5 of 105,000 is 21,000

The probability that he or she bought the deluxe version is 0.5

a) Here is the probability tree for total purchases:

                               0.75

                    ┌─────────────┐

                    │    Basic    │

                    │   Camera    │

                    └───────┬─────┘

                            │

                            │0.6

                            │

                            ▼

                   ┌──────────────┐

                   │Extended      │

                   │Warranty      │

                   └─────┬────────┘

                         │

                         │0.4

                         │

                         ▼

                   ┌──────────────┐

                   │              │

                   │   No         │

                   │Warranty      │

                   └──────────────┘

b) To calculate the percentage of customers who buy an extended warranty, we need to consider both branches of the probability tree that lead to purchasing an extended warranty.

From the probability tree, we can see that 75% of customers select the basic camera, and of those, 60% purchase the extended warranty. Additionally, 25% of customers select the deluxe camera, and of those, 90% purchase the extended warranty.

Now we can calculate the percentage of customers who buy an extended warranty:

Percentage = (Percentage of Basic Camera Customers x Percentage of Basic Camera Customers with Extended Warranty) + (Percentage of Deluxe Camera Customers x Percentage of Deluxe Camera Customers with Extended Warranty)

Percentage = (0.75 x 0.6) + (0.25 x 0.9)

Percentage = 0.45 + 0.225

Percentage = 0.675 or 67.5%

Therefore, 67.5% of customers buy an extended warranty.

c) To calculate the expected revenue of the company from a camera purchase, we need to consider the different scenarios: customers who buy the basic camera without the warranty, customers who buy the basic camera with the warranty, customers who buy the deluxe camera without the warranty, and customers who buy the deluxe camera with the warranty.

Expected Revenue = (Percentage of Basic Camera Customers x Price of Basic Camera) + (Percentage of Basic Camera Customers with Extended Warranty x (Price of Basic Camera + Price of Extended Warranty)) + (Percentage of Deluxe Camera Customers x Price of Deluxe Camera) + (Percentage of Deluxe Camera Customers with Extended Warranty x (Price of Deluxe Camera + Price of Extended Warranty))

Expected Revenue = (0.75 x $750) + (0.75 x 0.6 x ($750 + $200)) + (0.25 x $1250) + (0.25 x 0.9 x ($1250 + $200))

Expected Revenue = $562.50 + $382.50 + $312.50 + $337.50

Expected Revenue = $1,595.00

Therefore, the expected revenue of the company from a camera purchase, including the warranty if applicable, is $1,595.00.

d) To calculate the probability that a customer bought the deluxe version given that they purchased an extended warranty, we can use conditional probability.

Probability (Deluxe Version | Extended Warranty) = Probability (Deluxe Version and Extended Warranty) / Probability (Extended Warranty)

From the probability tree, we can see that the probability of buying the deluxe version and extended warranty is 0.25 x 0.9 = 0.225, and the probability of purchasing an extended warranty is 0.45 (as calculated in part b).

Probability (Deluxe Version | Extended Warranty) = 0.225 / 0.45

Probability (Deluxe Version | Extended Warranty) = 0.5 or 50%

To learn more about : probability

https://brainly.com/question/24756209

#SPJ11

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

Answer:

120%

Step-by-step explanation:

Hope this helps

Answer:

D) Neither X nor Y can be well approximated by a normal random variable.

Step-by-step explanation:

X = number of males (out of the 20) who are colorblind.

Y = number of females (out of the 40) who are colorblind.

Z = total number of colorblind individuals in the sample (males and females together).

The condition to use the normal approximation is that np > 5 and nq > 5

For X:

n = 20, p = 8% = 0.08,

q = 1 - 0.08 = 0.92

np = 20 * 0.08

np = 1.6 ( np < 5)

np = 20 * 0.92

np = 18.4 ( nq > 5)

For Y:

n = 40, p = 1% = 0.01,

q = 1 - 0.01 = 0.99

np = 40 * 0.01

np = 0.4 ( np < 5)

np = 40 * 0.99

np = 39.6 ( nq > 5)

For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.

Answer:

Step-by-step explanation:

Here X ≈ B (n = 20 , p = 0.08)

Y ≈ B  (n = 40 , p = 0.01)

To use normal approximation the condition is np > 5 , nq > 5

For X,

\(np=20 \times 0.08\\\\=1.6\\\\<5\)

\(nq=20 \times 0.98\\\\=18.4\\\\>5\)

For Y

\(np=40 \times 0.01\\\\=0.4\\\\<5\)

\(nq=20\times0.98\\\\=39.6\\\\>5\)

So, in the both cases the value of np < 5 so normal approximation is not good.

Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

learn more about odd and even numbers: https://brainly.com/question/2263958

#SPJ1

Answer: r≈1.96

Step-by-step explanation:

C=2πr

Solving for r

r=C

2π=12.3

2·π≈1.95761

Answer:

it is too blury to read

Step-by-step explanation:

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

For more questions on  Simple form.

https://brainly.com/question/27624273

#SPJ8

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

Learn more about area of rectangle here: brainly.com/question/12019874

#SPJ1

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

Learn more about perimeter on:

brainly.com/question/19819849

#SPJ1

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

More can be learned about fractions at brainly.com/question/1622425

#SPJ1

Answer:

49.2 - 12.3 = 36.9

Step-by-step explanation:

Difference in Math terms means Subtract

Answer:

60 miles per hour

Step-by-step explanation:

Consider the structure of the wording: "miles per hour"

The word "per" means for each. There is you clue.

Each is, one of and one of is unit measurement

So the controlling element in this question is that you need to convert the 3 hours into 1 hour.

Using ratio properties

180

3

=

x

miles

1

hour

We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.

⇒

180

÷

3

3

÷

3

=

x

1

⇒

60

1

=

x

1

So the unit rate of speed is  

60

miles  

per

−−−  

hour

Answer:

16 If you see me

Step-by-step explanation:

Answer:

87 is the answer

Hope it helps!!!

Step-by-step explanation:

Part (a)

It's not stated, but I'm assuming that RV = VQ

If so, then we use the tangent ratio to connect the opposite side PV = 7 and adjacent side RV = 16

Focus on triangle RPV

tan(angle) = opposite/adjacent

tan(R) = PV/RV

tan(x) = 7/16

x = arctan(7/16) ...... same as inverse tangent

x = 23.6293777 ...... which is approximate

Rounding to the nearest degree, the angle x is roughly 24 degrees.

Since 18 < 24 < 27, this means the roof pitch follows the safety guidelines.

====================================================

Part (b)

Again we only focus on triangle RPV

We have two pathways we can take. The first option is to use the pythagorean theorem

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

PR = sqrt( (RV)^2 + (PV)^2 )

PR = sqrt( (16)^2 + (7)^2 )

PR = 17.464249 .... approximate

PR = 17.5

----------

The second path you could take is to use the angle x we found in part (a). Use either the cosine or sine ratios like so

sin(angle) = opposite/hypotenuse

sin(x) = PV/PR

PR = PV/sin(x)

PR = 7/sin(23.6293777)

PR = 17.464249

PR = 17.5

The pathway for cosine will look almost identical to this, but you'll be computing PR = RV/cos(x) instead.

----------

1. The ordered pairs are as follows

(0, 0)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

2. The rules in the pattern of the days count is

n + 1

3. the rule of the pattern of the cost column is

n + 5

4. The relationship between the terms is

y = 5x

5. It will cost $40 to rent a scooter for 8 days

6. The ordered pair is in 1. and the graph is attached

7. It will cost $32.5 to rent a scooter for 6 1/2 days

In mathematics, an ordered pair is a set of two elements arranged in a specific order. The order of the elements in the pair is important, meaning that swapping the elements changes the identity of the pair.

Learn more about ordered pairs at:

https://brainly.com/question/1528681

#SPJ1

For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

To learn more about probability distribution, refer:

https://brainly.com/question/28021875

#SPJ4

Answer:

1)

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

2)

E(X) = 1.5

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it is heads, or it is tails. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is \(E(X) = np\).

A fair coin is flipped 3 times.

Fair means that it is equally as likely to be heads or tails, so \(p = 0.5\).

3 times means that \(n = 3\)

(1) Find the pmf for X;

Probability of each outcome. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125\)

\(P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375\)

\(P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375\)

\(P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125\)

(2) calculate the expected value of X.

\(E(X) = np = 3*0.5 = 1.5\)

Answer:

1 notebook=$30.7

1 thumb drive =$12.2

Explanation:

Let x represent the number of notebooks and y represent the number of thumb drives.

4x+5y = $116 ................1

2x+3y = $68..................2

4x+2x=$116+$68

6x=184

\( \frac{6x}{6} = \frac{184}{6} \\ \\ x = \frac{92}{3}\)

Therefore, the cost of each notebook=30.66

=$30.7

2x+3y=$68

2(30.7)+3y =$68

$31.4+3y=$68

3y=$68 - $31.4

3y=36.6

\( \frac{3y}{3} = \frac{36.6}{3} \\ y = \frac{36.6}{3} = 12.2\)

Therefore, the cost of each thumb drive = $12.2

Proof

2(30.7)+3(12.2)=$68

31.4+36.6=$68.0

For this you can use the slope formula, that is

So, for example if you take (x1,x2) = (-4,2) and (y1,y2) = (-2,8), you have

Therefore, the slope of the line that contains these points is 3.

Answer:Let, one leg be x units.

since the other leg is 9.0 units shorter than the other,

the measure of the other leg =x-9

hypotenuse =13.0 units

According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.  

x^2 +(x-9)^2 =13^2

x^2 + x^2 -18x +81 = 169

2x^2-18x-88=0

Divide the whole equation by 2

x^2 - 9x -44 =0  

Let's use the quadratic formula to find the roots.

formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a  

a=1 b=-9 c=-44

x= [9±sqrt(81+176)]/2

=[9±sqrt(257)]/2

=[9±16.03]/2

=25.03/2 or -7.03/2

length of a triangle cannot be negative,

Therefore, x=25.03/2 =12.52

one leg =12.5 units

other leg =12.52-9 =3.5 units

Step-by-step explanation:

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

Learn about interest rate here https://brainly.com/question/30512587

#SPJ9

Answer:

6  2/3 inches

Step-by-step explanation:

2 inches / 6 feet   * 20 feet = 6 2/3 inches

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

For more such questions on length, click on:

https://brainly.com/question/28322552

#SPJ8