ifa is a 6 4matrix, what is the smallest possible dimension of nul a?

The number of trials is typically represented by the letter "n" in statistics. This refers to the number of independent and identical observations that are taken during an experiment or study. The population proportion, on the other hand, is often represented by the letter "p".

This refers to the proportion or percentage of individuals in a population that exhibit a certain characteristic or behavior. For example, if we were studying the proportion of people who prefer chocolate ice cream, "p" would represent the percentage of people in the population who prefer chocolate ice cream.

It's important to note that the number of trials and the population proportion are both key factors in statistical analysis, as they can help researchers draw conclusions about the population as a whole based on a smaller sample size.

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Answer:

3 x 4 + 44 x 3 + 139 x 2 − 168 x + 88 /x + 8

Step-by-step explanation:

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

Answer:

$25 bag that holds 15 pounds of dog food

Step-by-step explanation:

We know

There is a $10 bag that holds 8 pounds of dog food.

10 / 8 = $1.25 per pound

There is also a $25 bag that holds 15 pounds of dog food.

25 / 15 = $1.67 per pound

So, $25 bag that holds 15 pounds of dog food is a better buy.

Answer:

110.45 inches cubed

Step-by-step explanation:

5in x 4.7in x 4.7in

By expression, x - y = x' - y' , Distance of 3rd and 4th obstacle is equal to distance of 7th and 9th obstacle.

Distance is a numerical measurement of how far apart objects or points are, it is the length along a line or line segment between two points on the line or line segment.

Given,

The distance between obstacle three and obstacle seven is the same as the distance between obstacle four and obstacle nine.

Distance of 7th obstacle = x

Let,

Distance of 9th obstacle = y

Distance of 3rd obstacle = x'

Distance of 4th obstacle = y'

Distance between obstacle 3 and 7 = x - x'

Distance between obstacle 4 and 9 = y - y'

Distance between obstacle three and obstacle four = x' - y'

Distance between obstacle seven and obstacle nine.= x - y

According to the question

x-x' = y-y'

⇒ x - y = x' - y'

Hence, Distance between third and fourth obstacle is same as distance between 7th and 9th obstacle.

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The amount in weight the baby elephant grew each month is given by the equation m = 38 kilograms

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount in weight the baby elephant grew each month be m

Now , the equation will be

The initial weight of the baby elephant a = 134 kilograms

The final weight of the baby elephant b = 362 kilograms

Now , the number of months = n

The value of n = 6 months

So , amount in weight the baby elephant grew each month m = ( b - a ) / n

Substituting the values in the equation , we get

Amount in weight the baby elephant grew each month is

m = ( 362 - 134 ) / 6

On simplifying the equation , we get

m = 228/6

m = 38 kilograms

Hence , the baby elephant grew 38 kg every month

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Answer:

3 integers

Step-by-step explanation:

-1, 0, 1 lie between the integers - 2 and 2

Best fit quadratic equation is: y = 77x + 140

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. An example of a quadratic equation is x² + 2x + 1. Here, an is greater than zero because if it equals zero, the equation will cease to be quadratic and change to a linear equation, such as bx+c=0. As a result, we cannot refer to this equation as a quadratic equation.

Given,

A shot-putter throws a shot and its height is noted every 20 feet

Best fit quadratic equation is:

y = 77x + 140

As after this equation, feet above ground is decreasing.

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Dr. Brown used a randomized controlled trial (RCT) research design.

A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.

Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.

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There is no repeated-measures t statistic for this two-tailed test using the given scores.

The repeated-measures t statistic for a two-tailed test can be calculated using the following formula:

t = (mean difference - hypothesized mean difference) / (standard deviation of the mean difference / square root of sample size)

To calculate the mean difference, subtract the first set of scores (i) from the second set of scores (ii) for each pair:
(3 - 7) = -4
(2 - 6) = -4
(8 - 6) = 2
(7 - 5) = 2

The mean difference is the sum of these differences divided by the sample size:
(-4 + -4 + 2 + 2) / 4 = -4 / 4 = -1

To calculate the standard deviation of the mean difference, first calculate the squared differences between the mean difference and each individual mean difference:
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0

Then, calculate the sum of these squared differences and divide by the sample size minus 1:
(0 + 0 + 0 + 0) / (4 - 1) = 0 / 3 = 0

Finally, calculate the square root of the result:
sqrt(0) = 0

Now, substitute these values into the formula:
t = (-1 - 0) / (0 / sqrt(4)) = -1 / (0 / 2) = -1 / 0 = undefined

Since the standard deviation of the mean difference is 0, the denominator becomes 0 and the t statistic is undefined.

Therefore, there is no repeated-measures t statistic for this two-tailed test using the given scores.

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Given the number 64,473

From the right:

• Unit digit = 3

• Tens digit = 7

• Hundred digit = 4

• Thousand digit =4

• Ten thousand digit =6

To round 64,473 to the nearest thousand, we first identify the thousand digit.

Thousand digit = 4

Next, identify the number after the thousand digit.

The number after the thousand digit = 4

When rounding numbers:

• If the number after the required number place is (0,1,2,3,4), we simply write the number.

• If the number after the required number place is (5,6,7,8,9), we round up.

Since the number after the thousand digit is 4. we therefore have that:

64,473 rounded to the nearest thousand = 64,000

Answer:

just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph

Step-by-step explanation:

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:b

Step-by-step explanation:

The given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].

To express the limit as a definite integral, we can rewrite the sum as a Riemann sum and take the limit as n approaches infinity.

The given sum can be written as:

lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi],

where Δxi = (b - a) / n is the width of each subinterval, xi is a sample point in the i-th subinterval, and [a, b] is the interval [3π, 5π].

To express the limit as a definite integral, we can rewrite the sum using the definite integral notation:

lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi] = ∫[3π, 5π] cos(x) dx,

where dx represents an infinitesimally small change in x. By taking the limit as n approaches infinity, the sum converges to the definite integral.

Therefore, the given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].

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The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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Answer:

1  4(3-r)  or  12-4r

2.  7( 8-m) or 56-7m

3.   -2

Step-by-step explanation:

1) |4r−12| , if r<3

|4r-12|

Factor out a 4

4|r-3|

|r-3| will be less than 0 since r is less than 3

So we can rewrite it as 3-r to remove the absolute value signs and make it positive

4 (3-r)

12 -4r

2.   |7m–56| , if m<8

Factor out a 7

7| m-8|  

|m-8| will be less than 0 since m is less than 8

So we can rewrite it as  8-m to remove the absolute value signs and make it positive

7( 8-m)

56-8m

3) |z−7|−|z−9| , if z<7

|z-7| will be less than 0 since z is less than 7  and |z-9| will be less than 0 since z is less than 7

So we can rewrite it as  7-z  and 9-z to remove the absolute value signs and make it positive

7-z - (9-z)

Distribute the minus sign

7-z-9+z

-2

These are the polynomial equations:

A = x^ (1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

These are the non-polynomial equations:

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions that only use addition, subtraction, multiplication, and non-negative exponentiation of the variables, along with coefficients (constants that multiply with the variables), coefficients, and constants.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides.

Let the polynomial equations be represented by the following letters: A, B, C, D, E, and F.

In the equation, we can solve for other values to obtain:

Moreover, a polynomial equation is not an algebraic equation that has a negative exponent or an exponent that is fractional. Thus, negative exponent expressions are not polynomials.

A = x^ (1/4) - ∛x + 4√x - 8x + 16

This polynomial exists.

B = 3x² - 5x⁴ + 2x - 12

This polynomial exists.

C = x³ - 7x² + 9x - 5x⁴ - 20

This polynomial exists.

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial.

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial.

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

A polynomial is not what it is.

The polynomials are thus resolved.

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Answer:

what is you belling? yesterday y monday

Answer:

661 bottles of water were drank

Step-by-step explanation:

Answer:

661 bottle were drunk.

Step-by-step explanation:

750-89 is 661

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

0

Step-by-step explanation:

trust

Answer:

Y=2.5x -4

Step-by-step explanation:

Answer:

y = 2.5x + (-4)

Step-by-step explanation:

If you are allowed to use a calcuator like a TI-83 or TI-84, you can plug those numbers into the chart thing and use LinReg to find the answer to the question. In this case, I did it for you and found the answer above.

Answer:

She needs $60 more so she has to work 6 weeks to get that much.

Step-by-step explanation:

x = each week

y = total

Equation:

90 = 10x + 30

10x = 60

x = 6

Answer:

She needs 60 dollars, it would take her 6 weeks to reach this amount of money

Step-by-step explanation:

90 - 30 = 60 dollars

60 ÷ 10 = 6

Answer:

\(x = 9 + 11i\)

Step-by-step explanation:

let's make the other number x and add it with -4-5i, equate to 5+6i

\( - 4 - 5i + x = 5 + 6i\)

add 4 and 5i to both sides to get x on its own:

\(x = 5 + 6i + 4 + 5i\)

collect like terms. This is the other number.

\(x = 9 + 11i\)

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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