A matrix that has the same number of rows and columns is called a(n) _______ matrix.

a. Based on the sample data, the mean price in dollars for a gallon of unleaded gasoline in San Francisco is $3.72.

b. The sample standard deviation in dollars is $0.3589.

Standard deviation,

Mean (the simple average of the numbers

Data and Calculations:

Average price of a gallon of unleaded gasoline in U.S. = $3.28

Number of gasoline and convenience stores for the U.S. average price = 90,000

Sample of San Francisco gasoline and convenience stores = 20

Prices of a gallon of gasoline in 20 San Francisco stores are as follows:

S/N.     Prices Difference in Mean  Difference Squared

1.          $3.59             -$0.13                     0.0169

2.           3.39                -0.33                     0.1089

3.           4.79                 1.07                      1.1449

4.           3.56               -0.16                      0.0256

5.           3.35              -0.37                      0.1369

6.           3.71               -0.01                     0.0001

7.           3.85              0.13                     0.0169

8.           3.40              -0.32                     0.1024

9.           3.55              -0.17                      0.0289

10.         3.76             0.04                      0.0016

11.          3.77             0.05                        0.0025

12.         3.39             -0.33                      0.1089

13.         3.75              0.03                       0.0009

14.         3.79              0.07                      0.0049

15.         4.19              0.47                       0.2209

16.        4.15             0.43                      0.1849

17.        3.66              -0.06                      0.0036

18.        3.93              0.21                       0.0441

19.        3.41              -0.31                       0.0961

20.      3.57              -0.15                       0.0225

Total $74.40                                          2.5765

Mean = $3.72 ($74.40/20)                 $0.12885 ($2.27394/20)

Standard deviation = square root of $0.12885

= $0.3589

Thus, in San Francisco, the price per gallon of unleaded gasoline is $0.03589 .

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To find the average price of unleaded gasoline in San Francisco, add up all the given prices and divide by the total number of prices. The standard deviation, indicating spread around this average price, is computed by finding the square root of the average of the squared deviations from the mean.

To estimate the mean price of a gallon of unleaded gasoline in San Francisco, you need to add up all the 20 given prices, then divide by the number of terms (20) in this case. The mean gives us the average value of the data set.

The standard deviation is a measure of how spread out the prices are from the mean. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean.

Remember, these calculations provide estimates, as the sample might not represent the entire population of gasoline prices in San Francisco. It's also important to note that external factors, such as changes in crude oil prices or regional taxes, can impact the cost of unleaded gasoline in diverse regions.

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Answer:

1 + 9 x 12 = 120

2 + 9 x 12 = 132

3 + 9 x 12 = 144

4 + 9 x 12 = 156

5 + 9 x 12 = 168

Step-by-step explanation:

Any of the ones on top, but there are tons of others too

Answer:

13

Step-by-step explanation:

prime factorization tree

3328 = 2^(8) * 13

Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

Answer:

10 miles, 6 inches

Step-by-step explanation:

2.5 x 10

15/2.5

Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

The margin of error would be smaller if the true population size is only 200.

To calculate the margin of error for a given confidence level, we use the formula:

where z is the z-score corresponding to the desired confidence level.

Assuming a population size of 500, a sample size of 36, a sample mean of 50, and a standard deviation of 10, the margin of error for a 95% confidence level can be calculated as:

However, if the true population size is only 200, the margin of error would be smaller because the formula assumes a larger population size. To recalculate the margin of error using the actual population size of 200, we use the formula:

where N is the population size, n is the sample size, and the rest of the variables are the same as before.

Plugging in the values, we get:

Therefore, the margin of error would be smaller if the true population size is only 200.

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hey there!

Given;

(1-tan^2a) + (1+tan^2a)= 2

LHS:

=(1-tan^2a)+(1+tan^2a)

Remove brackets.

=1-tan^2a + 1 +tan^2a

Cancel "tan^2a" and "-tan^2a"

= 1+1

= 2

RHS proved....

Hope it helps...

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

Answer:

Step-by-step explanation:

90 + 122 + 4x + 19 + 9x - 8 + 7x - 3 = 540

220 + 20x = 540

-220             -220

--------------------------

20x = 320

/20     /20

----------------

x = 16

Answer:

Numbers 3 and 7

Step-by-step explanation:

2163÷3= 721

2163÷6= 360.5

2163÷36= 60.08

2163÷7= 309

The answer is number 3 and 7 since both can be divided by 2163 without having remainders like number 6 and 36

Answer: 3

Step-by-step explanation:

To find the total area of the garden, we need to first calculate the length and height of the trapezoid. We can do this by using the coordinates of the vertices of the trapezoid. Once we have the length and height, we can use the formula for the area of a trapezoid: A = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the parallel sides and h is the height. After plugging in the values, we can simplify and calculate the total area of the garden.

A trapezoid is a four-sided shape with two parallel sides. To calculate the area of a trapezoid, we need to know the length of the parallel sides and the height. In this problem, we are given the coordinates of the vertices of the trapezoid, which we can use to calculate the length and height. We can then use the formula for the area of a trapezoid to find the total area of the garden.

To find the total area of the garden, we need to use the formula for the area of a trapezoid. We can calculate the length and height of the trapezoid using the coordinates of its vertices. Once we have the length and height, we can plug in the values to the formula and calculate the total area of the garden.

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Answer: C- 4,3 D- 9,4 E- 4,5 F- 1,4

Step-by-step explanation:

Answer:

6x - 15

Step-by-step explanation:

3(2x - 5)

Distribute

3*2x - 3*5

6x - 15

The sampling distribution of sample mean for a random sample of size n-3 years would resemble population distribution,the sampling distribution for random sample of size 9 years will be more bell-shaped.

The sampling distribution of the sample mean refers to the distribution of sample means obtained from repeated sampling of a fixed sample size from a population. In the given scenario, the population distribution of the number of days with snowfall in Pleasant Valley is represented by a probability histogram.

For a random sample of size n-3 years, the sampling distribution of the sample mean would closely resemble the population distribution. This is because the sample size is relatively small, and the sample means would vary around the population mean, maintaining the same shape as the population distribution.

However, as the sample size increases, the sampling distribution tends to become more bell-shaped and approximate a normal distribution. For a random sample of size 9 years, the sampling distribution would exhibit more symmetry and approach a normal distribution. This is due to the central limit theorem, which states that as sample size increases, the distribution of sample means becomes approximately normal regardless of the shape of the population distribution, as long as the samples are independent and the sample size is sufficiently large.

For a random sample of size 30 years, the sampling distribution would further approach a normal distribution. With a larger sample size, the individual observations have less influence on the overall distribution, leading to a more pronounced bell-shaped curve.

In summary, the sampling distribution of the sample mean becomes more bell-shaped and approximates a normal distribution as the sample size increases, demonstrating the central limit theorem.

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Answer:

nic

Step-by-step explanation:

Answer:

a. Yes

B. 12

C. 7.5 cm

I think.............

Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

Answer:

Your answer is: 6 wpm

Step-by-step explanation:

If Tyler types twice as fast as Kyla, you multiply the amount of wpm Kyla writes by 2. 3 multiplied by 2 equals 6. Therefore, Tyler writes 6 wpm.

Answer:

Step-by-step explanation:

\(70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour\)

Answer:

4200 beat per hour

Step-by-step explanation:

70 beat per min to beat per hour

70 beat      60 min

    -------  x -----------  =  4200 beat per hour

     min       1 hour

The error in trapezoidal rule is |1 - 0.99984167| ≈ 0.00016 and the error in Simpson's rule is |1 - 0.9999995| ≈ 0.0000005.

Trapezoidal Rule - The formula for the trapezoidal rule is given by:

∫ba f(x) dx ≈ h/2 [f(a) + 2 Σf(xi) + f(b)]

where xi = a + i h, h = (b - a)/n and

i = 1, 2, 3... n - 1.

Here h is the width of the subinterval and n is the number of intervals.

So, for n = 10 (11 ordinates), we have a = 0 and b = π/2, and h = (b - a)/n = (π/2)/10 = π/20. Therefore, xi = iπ/20 for i = 0, 1, 2, 3, 4, ..., 10.

Then the formula becomes, ∫0π/2 sin(x) dx ≈ π/20 [(sin 0) + 2 Σsin(i π/20) + sin(π/2)], where i = 1, 2, 3... 10.

So, putting the values of sin iπ/20 for i = 0, 1, 2, 3, 4, ..., 10 and computing the sum, we get

∫0π/2 sin(x) dx ≈ π/20 [(sin 0) + 2 (0.998), (0.988), (0.955), (0.902), (0.831), (0.746), (0.649), (0.544), (0.434), (0.321) + sin(π/2)]≈ 0.99984167

Simpson's Rule - The formula for Simpson's rule is given by:

∫ba f(x) dx ≈ h/3 [f(a) + 4 Σf(xi) + 2 Σf(xi+1) + f(b)]

So, for n = 5 (11 ordinates), we have a = 0 and b = π/2, and h = (b - a)/10 = π/20. Therefore, xi = iπ/10 for i = 0, 1, 2, 3, 4, ..., 10.Then the formula becomes,

∫0π/2 sin(x) dx ≈ π/10 [sin 0 + 4 (sin π/10 + sin 3π/10 + sin 5π/10 + sin 7π/10 + sin 9π/10) + 2 (sin 2π/10 + sin 4π/10 + sin 6π/10 + sin 8π/10) + sin π/2].

So, putting the values of sin iπ/10 for i = 0, 1, 2, 3, 4, ..., 10 and computing the sum, we get,

∫0π/2 sin(x) dx ≈ π/10 [(sin 0) + 4 (0.1564 + 0.5885 + 0.9511 + 0.9511 + 0.5885) + 2 (0.3090 + 0.8090 + 1.0000 + 0.8090) + (sin π/2)]≈ 0.9999995

Error Estimation - The true value of the integral is ∫0π/2 sin(x) dx = [-cos(x)]0π/2 = 1.

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Answer: To solve this problem, we can use the Pythagorean theorem. Let's call the depth of the treasure "d".

We can create a right triangle with the following sides:

The sensor on the boat is at the top of the triangle and is 200 meters away from the treasure diagonally.

The line from the sensor to the treasure, which we can call "x", is at a 25-degree angle from the surface of the water.

The line from the treasure to the ocean floor, which we can call "d", is perpendicular to the surface of the water.

Since we know that the angle of depression is 25 degrees, we can use tangent to find the length of x.

tan(25) = x/d

x = d * tan(25)

Now, we have two sides of a right triangle and can use the Pythagorean theorem to find d:

x^2 + d^2 = 200^2

d^2 = 200^2 - x^2

d^2 = 200^2 - (d * tan(25))^2

Solving for d, we find that d = 174.59 meters. Rounding to the nearest tenth of a meter, we get d = 174.6 meters.

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

1.024E11

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

0.663 ÷ 0.51= 1.3

Hopes This Helps

The angle included by these two sides is (c^2 - 74) / (-70).

What is triangle ?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

The area of a triangle can be found using the formula:

Area = (1/2) * b * h,

where b is the length of the base and h is the height of the triangle.

Since two of the sides have lengths 5 in and 7 in, we can assume that they are the base and the height of the triangle, respectively. Setting b = 5 in and h = 7 in, we can find the area:

Area = (1/2) * 5 in * 7 in = (1/2) * 35 in^2 = 16 in^2.

This means that the height of the triangle is 7 in and the base is 5 in. To find the angle included by these two sides, we can use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab * cos(C),

where a and b are the lengths of the sides and C is the angle included by these two sides.

Since a = 5 in and b = 7 in, we can find the angle C:

c^2 = a^2 + b^2 - 2ab * cos(C)

c^2 = 5^2 + 7^2 - 2 * 5 * 7 * cos(C)

c^2 = 25 + 49 - 70 * cos(C)

c^2 = 74 - 70 * cos(C)

So , The angle included by these two sides is (c^2 - 74) / (-70).

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Answer:

monyet lol

Step-by-step explanation:

a

B

C

C

C

C

C

C COk