If A is an invertible matrix of order n x n, then its determinant must be non-zero. Rank(A) = Number of non-zero rows in reduced row echelon form. If rank(A) ...

The value of pi = c/d

Since d = c/pi

To solve this question, we have to make pi the subject of the formula

d = c/pi

Cross multiply

(d × pi) = c

dpi = c

Divide both side by d

dpi/d = c/d

pi = c/d

In conclusion, pi = c/d

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Answer:4

Step-by-step explanation:

The solution to each of the arithmetic sequence are:

1) a₁₀ = 56

2) a₁₀ = 87

3) missing term is 13

4) missing term is 14

The formula for the nth term of an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

n is nth term

d is common difference

1) a = 2

d = 6

a₁₀ = 2 + (10 - 1)6

a₁₀ = 2 + 54

a₁₀ = 56

2) a = 15

d = 8

a₁₀ = 15 + (10 - 1)8

a₁₀ = 87

3) The missing term will be gotten by finding the common difference.

d = (22 - 4)/2

d = 18/2

d = 9

missing term = 4 + 9 = 13

4) The missing term will be gotten by finding the common difference.

d = (53 - 25)/2

d = 28/2

d = 14

missing term = 4 + 9 = 14

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Answer:

g = 48

Step-by-step explanation:

60/3 = g-8/2

20 = g-8/2

40 = g-8

g = 48

Answer:

g = 28

Step-by-step explanation:

60 ÷ 3 = g - 8 , that is

20 = g - 8 ( add 8 to both sides )

28 = g

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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Answer: -2.4 gallons per hour

Step-by-step explanation:

Think of this as a linear equation where the rate of change is m.

m = (Y₂ - Y₁) / (X₂ - X₁)

Assume the points are: (2, 15) (7, 3)

m = (3 - 15) / (7 - 2)

= (-12) / 5

= - 2.4 gallons per hour

Gas is reducing by 2.4 gallons per hour.

The equation in point-slope form is y = 24.6x + 2433.8

The standard equation of a straight line in point slope form is  given by:

y - y₁ = m(x - x₁)

where m is the slope of the line, y is the dependent variable, x the independent variable, (x₁, y₁) are points on the line

Let y represents the number of restaurants franchised and x represent the years after 2010

Since In 2012 (x = 2), a popular pizza franchise had 2483 restaurant, this can be represented by the point (2, 2483). Also in 2017 (x = 7), a popular pizza franchise had 2606 restaurant, this can be represented by the point (7, 2606). Therefore the equation of the line is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-2483=\frac{2606-2483}{7-2}(x-2)\\\\y-2483=24.6(x-2)\\\\y=24.6x+2433.8\)

The equation in point-slope form is y = 24.6x + 2433.8

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A population of scores has µ = 80. in this population, a score of x = 86 corresponds to z = 2.00. The population standard deviation is 03.

In statistics, the standard deviation is a measure of the variability or spread of an outcome. [1] A low standard deviation indicates that the value is close to the mean of the cluster (also called the expected value), while a high standard deviation indicates that the results are very interesting.

The standard deviation can be abbreviated as SD and is often used in mathematics and equations with the Greek letter σ (sigma) for population standard deviation or the Latin letter s for different sample sizes.

The standard deviation of a variable, such as a population, a data set, or a probability, is the basis of its variance. Algebraically it is easier than the mean absolute difference, but in practice, it is lower than the mean absolute difference. The useful feature of standard deviation is that it is expressed in the same unit as the data, unlike the difference.

Here we can use the Z-score formula:

Z = (X - µ) / σ

where Z is the Z-score, X is the individual score, µ is the population mean, and σ is the population standard deviation. In this case, we are given Z = 2.00, X = 86, and µ = 80. We need to find σ.

2.00 = (86 - 80) / σ

Now, solve for σ:

σ = (86 - 80) / 2.00 = 6 / 2.00 = 3

The population standard deviation (σ) is 3.

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Answer:

-3 > x

Step-by-step explanation:

We are 80% confident that the true population mean falls within this interval based on the given sample data. To construct an 80% confidence interval for the population mean (μ), we can use the formula:  

Confidence Interval = x ± Z * (σ/√n) Where:
x is the sample mean (46.17)
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28)
σ is the population standard deviation (6.5)
n is the sample size (92)

Substituting the given values into the formula, we get:
Confidence Interval = 46.17 ± 1.28 * (6.5/√92)
Calculating the expression inside the parentheses first:
6.5/√92 ≈ 0.679. Then, plugging it back into the formula:
Confidence Interval = 46.17 ± 1.28 * 0.679

Calculating the product of 1.28 and 0.679: 1.28 * 0.679 ≈ 0.868
Finally, the confidence interval is: Confidence Interval = 46.17 ± 0.868
Rounding to two decimal places: Confidence Interval ≈ (45.30, 47.04)

Therefore, the 80% confidence interval for the population mean (μ) is approximately (45.30, 47.04).  

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Answer:

1/15

Step-by-step explanation:

3/10 x 2/9

Answer:

the throwing back by a body or surface of light, heat, or sound without absorbing it.

"the reflection of light" The reflection factor of a body is the ratio of the light reflected by the body to the incident light.

Answer:

4w

Step-by-step explanation:

4w means 4 times w, and if you have four groups of something, you multiply it to see how much there is.

Answer:

4times(x)w

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of (4,5)(9,11) is 6/5

Answer:

5/6 or 1 1/5 and pls read explanation

Step-by-step explanation:

ok so the diff between (x,y) and (x,y) is here:

the diff between x and x (4 and 9) is +5. the diff between y and y (5 and 11) is +6.  you take the reciprocal of 5/6 and that is 6/5 or 1 1/5

The value of x in the trapezoid is 117°.

A trapezoid is a quadrilateral a four-sided polygon with two parallel sides and two non-parallel sides. The parallel sides are most call the bases of the trapezoid, and the non-parallel sides are called the legs.

In a trapezoid, the opposite angles are supplementary. Therefore, we can set up an equation:

x + 63° = 180°

Solving for x, we get:

x = 180° - 63°

x = 117°

Therefore, the value of x in the trapezoid is 117°.

Full question "Find the value of x in the trapezoid below.

X

63°

X = = [?]°"

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The circumference of a tire with a diameter of 16 inches is 50.3 inches (rounded to one decimal place), calculated using the formula C = π * d.

Multiplication is a mathematical operation that involves adding a number to itself a certain number of times, or combining equal groups of objects to find the total quantity. It is represented by the "x" symbol and is used to find the product of two or more numbers. For example, 2 multiplied by 3 is equal to 6 (2 x 3 = 6). Multiplication is one of the fundamental arithmetic operations and is used in various mathematical concepts and applications in everyday life.

The circumference of a tire is the distance around its outer edge. It can be calculated using the formula C = π * d, where d is the diameter of the tire. The diameter is the distance from one edge of the tire to the opposite edge, passing through the center. In this case, given that the diameter of the tire is 16 inches, substituting this value into the formula gives C = π * 16 = 50.3 inches (rounded to one decimal place). Therefore, the correct answer is 50.3 inches, as it represents the circumference of a tire with a diameter of 16 inches. The other options provided are not correct, as they do not accurately calculate the circumference based on the given diameter.

Therefore, The circumference of a tire with a diameter of 16 inches is 50.3 inches (rounded to one decimal place), calculated using the formula C = π * d.

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Answer:

m (slope)=1

Step-by-step explanation:

y=x+6(m is always found in front of X so m=1)

Answer: 1

Step-by-step explanation: This equation is written in y = mx + b form.

The slope of the line will be the coefficient of the x-term.

Remember, the coefficient is the number in front of the variable.

Notice that the x does not have a coefficient.

When that happens, when there is no number in front

of your variable, you can put a 1 there to fill that position.

So the slope of the line will is 1.

Answer:

56000

Step-by-step explanation:

make 7,956 into

8000

7 times 8000

56000

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

Step-by-step explanation:

again option D x = 10, y= 3

is the correct answer of this question.

plz mark my answer as brainlist.if you find it useful.

hope this will be helpful to you.

Answer:

x = 10

y = 7

Step-by-step explanation:

4x-2 = x+28

4x-x = 28+2

3x = 30

x = 30÷3

x = 10

4y-7 = y+14

4y-y = 14+7

3y = 21

y = 21÷3

y = 7

A. To find the area of a circle you need to use the formula A= π r²  

The radius (R) is half of the diameter . . . that's 6.5 cm .

r² = ( 6.5)² = 42.25 cm²

Area =  π r² = 42.25 π  =  132.7 cm²

B. Area of a rectangle is just (length) x (width).

Length = 12 cm

Width = 5 cm

Area = (12 cm) x (5 cm) = 60 cm²

C. The shaded portion is the part of the circle that's NOT in the rectangle. So its area is (area of the circle) - (area of the rectangle)

Area = (132.7 cm²) - (60 cm²) = 72.7 cm²

The part-to-whole ratio of nickle to all coins is  1:2 . Thus, Option B is correct answer.

Now,

A bag contains 12 quarters, 6 dimes, and 18 nickle coins .

so, Total number of coins = 12+6+18

                                          = 36  coins

Number of nickle coins = 18

Hence , ratio of nickle coin to total coins = (nickel coins) / (total coins)

                                                                    = 18/36

                                                                    = 1/2 = 1:2

So , the part-to-whole ratio of nickel to all coins is 1:2.

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The margin of error is approximately $18.35, and the 99% confidence interval for the population mean repair cost is ($56.65, $93.35). This means we are 99% confident that the true population mean repair cost falls within this interval.

To calculate the margin of error, we use the formula: Margin of Error = t × (standard deviation / √n), where t is the critical value for the desired confidence level, standard deviation is the sample standard deviation, and n is the sample size.

With a sample mean repair cost of $75.00 and a standard deviation of $11.50, and a sample size of 6, we need to determine the critical value associated with a 99% confidence level. Since the sample size is small (n < 30), we use a t-distribution instead of a z-distribution.

Using the t-distribution with (n-1) degrees of freedom, where n is the sample size, and a confidence level of 99%, we find the critical value to be approximately 3.707.

Next, we calculate the margin of error: Margin of Error = 3.707 × (11.50 / √6) ≈ 18.35.

To construct the 99% confidence interval, we take the sample mean and add/subtract the margin of error: 75.00 ± 18.35. This gives us a confidence interval of approximately (56.65, 93.35).

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Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

The equation which represent the proportional relationship between the number of pairs of socks that Martha buys, x, and the total cost (in dollars), y is y = bx

y = bx

Where,

b = constant

If y = $6 and x = 2 pairs

y = bx

6 = b × 2

6 = 2b

divide both sides by 2

b = 6/2

b = 3

In conclusion, the proportional relationship between number of pairs of socks that Martha buys, x, and the total cost (in dollars), y is y = bx

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Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

Answer:h=3/2

Step-by-step explanation:

-2h=-3

h=3/2 it changes to plus because two minus’s equal a plus

Answer:

a=1 and b=13

do you need the working out?

Answer:

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