There is also another answer and it is “nether”

Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025

If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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Answer:

37.5

Step-by-step explanation:

Area= (Base1+base2)/2 *height

Base 1=b

Base 2=c

height=h

a=h(b+c)/2

h= line AB

Line AB has length \(\sqrt{4^2+3^2}=5\) using the distance formula

h=5

c= 10

b=5

a=5(10+5)/2=37.5

Using the t-distribution, it is found that since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.

At the null hypothesis, we test if there is not enough evidence that the mean is less than 10 minutes, that is:

\(H_0: \mu \geq 10\)

At the alternative hypothesis, we test is there is enough evidence that the mean is less than 10 minutes, that is:

\(H_1: \mu > 10\)

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

The values of the parameters are given as follows:

\(\overline{x} = 10.4, \mu = 10, s = 1.6, n = 20\)

Hence the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{10.4 - 10}{\frac{1.6}{\sqrt{20}}}\)

t = 1.12.

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than a value, with t = 1.12 and 20 - 1 = 19 df, the p-value is of 0.8617.

Since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.

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Answer:

72 cm

Step-by-step explanation:

Find the radius using the given information

308=1/2(πr^2)

r^2=616/π

r=14

The perimeter is πr + 2r so plug in 14

π(14) + 2(14)

43.96+28=71.96

Answer:

if a scale factor is less than 1 then your figure gets smaller

Step-by-step explanation:

Answer:

Quadrant II

Step-by-step explanation:

The point (-3, 5) has a negative x coordinate and a positive y coordinate, so it is in quadrant II.

Answer:

2. $2.4

3. $3.6

4. $4.8

5. $6

Answer:

Irrational number

Step-by-step explanation:

A irrational number is when the numbers cannot be written as a quotient of two integers.

The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

x < 5/4

Step-by-step explanation:

divide by 16 on both sides

x < 20/16 = 5/4

Work Shown:

Complementary angles add to 90 degrees.

A+B = 90

(3x+18)+(2x+17) = 90

5x+35 = 90

5x = 90-35

5x = 55

x = 55/5

x = 11

Then we can determine each angle:

As a check: A+B = 51+39 = 90 to confirm the answer.

Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:  The answer is 30 inches.

Answer:

36

Step-by-step explantion:
1 x 1 = 1 so each cube is 1 square inch

2 x 6= 12

12 x 3 = 36

If guests staying at Marada Inn were asked to rate the quality of their accommodations as being excellent (E), above average (AA), average (A), below average (BA), or poor (P). The frequency is : 1, 8, 6, 3, 2.

Analysis

E = E =1

AA= AA +AA + AA + AA + AA+ AA + AA +AA = 8

A= A + A+ A+ A+ A+ A = 6

BA = BA + BA + BA =3

P = P + P =2

Hence,

Class     frequency

E                     1

AA                  8

A                     6

BA                   3

P                      2

Total               20

Therefore  1, 8, 6, 3, 2 is the frequency .

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Answer: The line starts at 1 positive, then from there go -4 (so go to the left) then 1 down from that point.

Step-by-step explanation: the problem is supposed to have been Y= -4/1 +1

The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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Answer: AB> AC> BC

Step-by-step explanation:

A+B= 134

A+C= 124

B+C= 102

Therefore, the sides from greatest to least are AB>AC>BC.

Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

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-1/6

hope it helps...!!!

Rounding to the nearest foot, the distance from point A to point B is approximately 182 feet.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

Let's assume that the distance from point A to the lighthouse is x feet and the distance from point B to the lighthouse is y feet. Also, let's assume that the height of the boat's crew's eye level is h feet above the water.

From point A, we can use tangent function to find x:

tan(5°) = (119 + h) / x

From point B, we can use tangent function again to find y:

tan(18°) = (119 + h) / y

We want to find the distance between point A and point B, which is the difference between x and y:

distance AB = y - x

We need to eliminate h from these equations to solve for x and y. We can do this by solving for h in one equation and substituting it into the other equation:

h = x tan(5°) - 119

tan(18°) = (119 + x tan(5°) - 119) / y

tan(18°) = x tan(5°) / y

y = x tan(5°) / tan(18°)

distance AB = y - x = x (tan(5°) / tan(18°) - 1)

Now we can plug in the values and use a calculator to find the distance:

distance AB = x (tan(5°) / tan(18°) - 1)

distance AB = x (0.107 - 1)

distance AB = -0.893 x

Since the distance cannot be negative, we know that x must be greater than zero. Therefore, we can ignore the negative sign and solve for x:

x = distance AB / -0.893

Using a calculator, we get:

x ≈ 181.74 feet

Rounding to the nearest foot, the distance from point A to point B is approximately 182 feet.

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Answer:

A property of a function is that it gives one output for an input

if a function gives one output for an input, it is a function and otherwise it is not a function otherwise

here, we can see that we have 2 outputs for the input '6'. therefore, it is NOT a function

Answer:

Hello! answer: 175 cm2

Step-by-step explanation:

9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126

7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it

(a) 6/245 is the probability that you and your friend joe are among the chosen.

(b) 68/245 the probability that you or your friend joe are among the chosen.

Q5. 0.5372 is the probability that i have chosen bag 1.

(a) The probability of you being chosen is 15/50, or 3/10.

Once you are chosen, there are 49 students left in the class, including Joe. The probability of Joe being chosen from the remaining 49 students is 14/49.

So the probability of both you and Joe being chosen is:

(3/10) x (14/49) = 6/245

(b) The probability of either you or Joe being chosen is the probability of you being chosen plus the probability of Joe being chosen, minus the probability of both of you being chosen (because we don't want to count that twice):

(3/10) + (14/49) - (6/245) = 68/245

Q.5

Let A be the event that bag 1 is chosen and B be the event that exactly 2 red marbles are chosen.

We want to find P(A|B), the probability that bag 1 is chosen given that exactly 2 red marbles are chosen.

Using Bayes' theorem, we have:

P(A|B) = P(B|A) x P(A) / P(B)

P(A) is the probability of choosing bag 1, which is 1/2.

P(B|A) is the probability of getting exactly 2 red marbles given that bag 1 is chosen.

This can be calculated using the hypergeometric distribution:

P(B|A) = (10 choose 3) x (6 choose 2) / (16 choose 5) = 0.2616

P(B) is the overall probability of getting exactly 2 red marbles, which can be found by using the law of total probability:

P(B) = P(B|A) x P(A) + P(B|not A) x P(not A)

where P(not A) = 1 - P(A) = 1/2.

P(B|not A) is the probability of getting exactly 2 red marbles given that bag 2 is chosen.

This can also be calculated using the hypergeometric distribution:

P(B|not A) = (15 choose 3) x (6 choose 2) / (21 choose 5) = 0.2249

So we have:

P(B) = 0.2616 x 1/2 + 0.2249 x 1/2 = 0.2432

Finally, we can plug all of these values into Bayes' theorem to find P(A|B):

P(A|B) = 0.2616 x 1/2 / 0.2432 = 0.5372

So, the probability that bag 1 was chosen given that exactly 2 red marbles were chosen is approximately 0.5372.

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As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

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