If A [4 3 ] is a singular matrix find the
[a 3 ] value of 'a'.​

The probability that at least one household has their TV set tuned to the game is 1 - (1-0.22)^33, which is approximately 0.993.

To solve this problem using the direct method, we can use the fact that 22% of TV sets were tuned to the game. This means that the probability of a randomly selected TV set being tuned to the game is 0.22.

To find the probability that at least one of the 33 households surveyed had their TV set tuned to the game, we can use the complement method. The complement of the event "at least one household has their TV set tuned to the game" is "none of the households have their TV set tuned to the game".

Using the complement method, we can find the probability of this event by taking the probability that no households have their TV set tuned to the game, which is (1-0.22)^33.

So, the probability that at least one household has their TV set tuned to the game is 1 - (1-0.22)^33, which is approximately 0.993.

If I had to do this by hand, I would use the complement method, as it involves simpler calculations.

To find the probability that at least one TV set among the 33 households surveyed is tuned to NBC Sunday Night Football, we can use either the direct method or the complement method.

1. Direct Method:
The direct method requires calculating the probabilities of 1, 2, 3, ..., 33 households watching the game, and then summing up these probabilities. This method can be tedious and time-consuming, especially when done by hand.

2. Complement Method:
The complement method is generally easier and quicker, as it involves calculating the probability that none of the 33 households is watching the game and then subtracting this probability from 1.

Given that 22% (0.22) of the TV sets in use were tuned to the game, the probability that a household is not watching the game is 1 - 0.22 = 0.78.

For all 33 households not to be watching the game, the probability is (0.78)^33 ≈ 0.00038.

Now, to find the probability that at least one household is watching the game, we subtract this probability from 1:

1 - 0.00038 ≈ 0.99962.

So, the probability that at least one of the 33 households is tuned to NBC Sunday Night Football is approximately 0.99962.

If you had to do this by hand, the complement method would be the preferred approach, as it requires fewer calculations and is more straightforward.

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The approximate value obtained using the number of points and taking their standard deviation is known as uncertainty.

Uncertainty is the approximate value determined by counting the points and subtracting their standard deviations. The range of potential values within which the true value of the measurement sits is referred to as uncertainty in this context. Other names with similar meanings now have different usages.

The value will be close to the value but not exactly the value. The upper bound of the chance of obtaining the next value of the point near 68% is defined by standard deviation.

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Answer:

6 + 32 i

Step-by-step explanation:

((−2) + (7 * i)) * (4 - (2 * i)) =

None of the statements A, B, or C can be determined to be true based on the given information. we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

To determine which statement is true, let's analyze the given information.  We have:

P(B) = 4/1

P(A∪B) = 2/1

P(A|B) = 3/2

Let's evaluate each statement:

A) P(A) = 3/1

This statement is not directly supported by the given information. We cannot determine the value of P(A) solely based on the provided probabilities.

B) P(A∩B) = 12/1

This statement is also not supported by the given information. We do not have enough information to determine the value of P(A∩B).

C) P(B|A) = 5/1

This statement is not supported by the given information. We do not have any direct information about P(B|A), so we cannot determine its value.

D) A and B are not independent.

To determine whether A and B are independent, we can check if P(A∩B) = P(A) * P(B). However, as mentioned earlier, we do not have enough information to determine the value of P(A∩B). Therefore, we cannot conclude whether A and B are independent based on the given information.

In summary, none of the statements A, B, or C can be determined to be true based on the given information. The only conclusion we can draw is that we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

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The percentage of the data set within the range of 10 to 22 is 68.26%.

To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.

First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:

\(z1 = (10 - 16) / 6 = -1.0\)

\(z2 = (22 - 16) / 6 = 1.0\)

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.

Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.

Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.

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Answer:

Step-by-step explanation:

y = 5

A) y + 6.5 = 5 + 6.5  = 11.5   > 10

B) 50 +y = 50 +5 = 55 > 10

C) 5y = 5*5 = 25 > 10

D) 3y + 2 = 3*5 + 2 = 15 + 2 = 17 > 10

\(\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:20.25}}}}}}\)

\(0.25, 0.75, 2.25, 6.75,20.25,..\)

\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(0.25, 0.75, 2.25, 6.75,20.25 \\ \\ ➺ \: 0.25 \times 3 = 0.75 \\ \\ ➺ \: 0.75 \times 3 = 2.25 \\ \\ ➺ \: 2.25 \times 3 = 6.75 \\ \\ ➺ \: 6.75 \times 3 = 20.25\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}\)

Answer:

66 guests

Step-by-step explanation:

I would use ratio to solve this problem:

20: £940

To get 20 to one we need to divide both sides by 20:

1: £47

This means that 1 guest costs £47.

Now we need to work out how many £47 there are in £3102.

£3102 ÷ £47 = 66

This means that the maximum number of guests sophie can have at her party is 66 guests.

Hope this helps.

Therefore, the expression is undefined when the value of x = 7 or x = -3.

An equation is a mathematical statement that asserts the equality of two expressions. It typically involves one or more variables and can be written using mathematical symbols such as addition, subtraction, multiplication, division, exponents, and roots. The goal of solving an equation is to find the values of the variables that satisfy the equation.

Here,

To simplify the expression, we first factor the denominator:

x² - 4x - 21 = (x - 7)(x + 3)

Now, we can rewrite the expression as:

(12x + 36) / (x - 7)(x + 3)

We can simplify the numerator by factoring out 12:

12(x + 3) / (x - 7)(x + 3)

The (x + 3) terms cancel out, leaving:

12 / (x - 7)

So the simplified expression is 12 / (x - 7).

The restrictions on the variable come from the fact that the denominator cannot be equal to zero. So we set the denominator equal to zero and solve for x:

(x - 7)(x + 3) = 0

x = 7 or x = -3

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Answer:

[38]

Step-by-step explanation:

Answer:

2.6

Step-by-step explanation:

cause it is 2.6299999999

2.629 to the nearest tenth is 2.6.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A decimal number,

2.629.

Here, 2 is the whole number component and 0.629 is the fractional component part.

To round the number to the nearest tenth:

The number in tenth place is 6.

And the value right next to 6 is 2.

6 > 2.

So, the number will stay the same.

2.629 = 2.63

Then 2.63 = 2.6 to the nearest tenth.

Therefore, 2.6 is the required decimal.

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The slope of the line that passes through the points (7, 5) and (1, 6) is -1/6

First, we shall list out the given parameters. This is given below:

The slope of the line can be obtained as follow:

m = (y₂ - y₁) / (x₂ - x₁)

m = (6 - 5) / (1 - 7)

m = 1 / -6

m = -1/6

Thus, we can conclude from the above calculation that the slope of the line is -1/6

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The area of the triangle is 6 square units

The formula for calculating the area of a triangle is expressed as:

From the given triangle, the length of the diagonal of each square is expressed as:

\(l=\sqrt{1^2+1^2} \\l=\sqrt{2}\)

Height of the triangle = √2 + √2 = 2√2

Base of the rectangle = √2 + √2 + √2= 3√2

Area of the triangle= 0.5 * 2√2 * 3√2  

Area of the triangle 3(2)

Area of the triangle = 6 square units

Hence the area of the triangle is 6 square units

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Answer:

Two or more equations that share variables.

Step-by-step explanation:

Example:two equations that share the variables x and y:

x + y = 6

−3x + y = 2

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

Answer: sum=1 subtrahend=2

Step-by-step explanation:

Answer:

1 is added      2 is minued     3 is difference       4 is fraction bar      5 us numerater        6 is denominater       7 is added    8 is subtrahed

Step-by-step explanation:

it hard to exsplain hope i helped

Given the equation x^2 + 32 = 81 and the value of dx/dt = 7, we are asked to find dy/dt for different values of x. Specifically, we need to find dy/dt when y is positive and x takes on different values: (a) x = 0, (b) x = 2, and (c) x = 4.

To find dy/dt, we can differentiate the equation x^2 + 32 = 81 with respect to t using implicit differentiation. Taking the derivative of both sides, we get 2x(dx/dt) = 0.

(a) When x = 0, the equation becomes 0^2 + 32 = 81, which is not satisfied. Therefore, we cannot find dy/dt when x = 0.

(b) When x = 2, the equation becomes 2^2 + 32 = 81, which is true. Substituting dx/dt = 7, we have 2(2)(7) = 28. Therefore, dy/dt when x = 2 is 28.

(c) When x = 4, the equation becomes 4^2 + 32 = 81, which is not satisfied. Therefore, we cannot find dy/dt when x = 4.

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The sum of the finite geometric series in the problem is given as follows:

26,240.

The first term of the series is given as follows:

\(a_1 = 8\)

The common ratio of the series is given as follows:

r = 3.

(as each term is the previous term multiplied by 3).

The rule for the nth term of the series is given as follows:

\(a_n = 8(3)^{n - 1}\)

Considering that the final term is of 17496, the value of n is given as follows:

\(17496 = 8(3)^{n - 1}\)

3^(n - 1) = 2187

3^(n - 1) = 3^7

n - 1 = 7

n = 8.

Hence the sum of the series is given as follows:

S = [8 - 8 x 3^8]/-2

S = 26,240.

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Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope (rise/run) is 3/4 and the y-intercept is -2.

Hope this helps. Pls give brainliest.

An equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

The given coordinate points are (4, 1) and (8, 4).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope = (y2-y1)/(x2-x1)

= (4-1)/(8-4)

= 3/4

Put m=3/4 and (x,y)=(4,1) in y=mx+c

1=3/4 (4)+c

⇒c=-2

Now, substitute m=3/4 and c=-2 in y=mx+c and simplify

That is y=3/4 x-2

Therefore, an equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

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A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.

A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.

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Answer:

there would be 20 tsp of chillie powder for 5 tsp of cumin

Step-by-step explanation:

4 tsps of chilliw per 1 tsp for cumin

The unit rate of the shirt is $1.50 per shirt.

Unit rate is a measure of the relationship between two quantities, where the second quantity is expressed as a unit of one. It is often expressed as a ratio, with the unit of the second quantity being 1. Unit rate helps us compare different quantities and make sense of their relative sizes.

The unit rate for the shirts can be calculated by dividing the total cost by the number of shirts. In this case, the unit rate would be:

$6.00 ÷ 4 shirts = $1.50/shirt

So, the unit rate for the shirts is $1.50 per shirt.

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

Step-by-step explanation:

Term Definition

Linear regression line The line that goes through a set of points either exactly or approximately.

Difference The result of a subtraction operation is called a difference.

Step-by-step explanation:

all regular polygons have (n-2)*180 this formula can use here. n= no of sides

Answer:

M = (n-2)*180 degrees for polygons with n sides.

Step-by-step explanation:

As already noted, there is no description of the polygon in question.  However, the formula for the sum of the measure of the interior angles of a regular polygon is M = (n-2)•180 where n is the number of sides.  A triangle has 3 sides, so M = (3-2)*180 = 180 degrees.

A hexagon has 6 sides, so M = (6-2)*180 = 720.

The box dimensions with the least surface area are length and width x = 8 feet, and height h = 4 feet.

To find the dimensions of the box with a square base and no top that has a volume of 256 cubic feet and the least (minimum) surface area, we can follow these steps:
Define the variables
Let x be the length and width of the square base, and let h be the height of the box.
Write the volume equation
The volume of the box is given by the product of its length, width, and height: V = x * x * h = x^2 * h.
Since the volume is 256 cubic feet, we have x^2 * h = 256.
Write the surface area equation
The surface area of the box (without the top) is given by the sum of the areas of its sides: S = x^2 + 4 * x * h.
Solve for h from the volume equation
From the volume equation x^2 * h = 256, we can solve for h in terms of x: h = 256 / x^2.
Substitute h into the surface area equation
Substitute the expression for h into the surface area equation: S = x^2 + 4 * x * (256 / x^2).
Simplify the surface area equation
Simplify the surface area equation by canceling out terms: S = x^2 + 1024 / x.
Minimize the surface area
To minimize the surface area, take the derivative of S with respect to x and set it equal to zero:
dS/dx = 2 * x - 1024 / x^2 = 0.
Solve for x
To solve for x, multiply both sides by x^2 and rearrange the equation:
2 * x^3 = 1024.
Now, divide by 2 and take the cube root to find x:
x = (512)^(1/3) = 8 feet.
Find h
Using the value of x, find the height h:
h = 256 / x^2 = 256 / 64 = 4 feet.

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The equivalent fraction is 40x⁷ of the given expression 8x⁴ × 5x³.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question as:

8x⁴ × 5x³

We have to determine the equivalent fraction of the given expression.

⇒ 8x⁴ × 5x³

⇒ 8 × 5 × x⁴× x³

Multiply the coefficients in the above expression,

⇒ 40 × x⁴× x³

Add the exponents in the above expression,

⇒ 40 × x⁴⁺³

⇒ 40x⁷

Thus, the equivalent fraction is 40x⁷ of the given expression 8x⁴ × 5x³.

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

Explanation:

To get the domain, list the x coordinate of each point shown.

The points on that graph are (-1, 1), (0, -2), (1, 3) and (3, 0). We see the x coordinates are: -1, 0, 1 and 3

Therefore, the domain is {-1, 0, 1, 3} which is choice A. The curly braces indicate we have a set of values. The domain is the set of all possible x inputs.

Answer:

1. a) x b)1

2. a)x^3 b) 3

3. a) 3x^7 b) 7

Step-by-step explanation: