Which of the following represents the solutions for x when solving the equation 9 x 2 -12 x -1 = 0?

The answer would be A, 3 to 1 because order matters in this case its not B or C

Answer:

MJK=90

MJL=63

JLK=63

KML=27

MNL=126

Step-by-step explanation:

If this is a perfect rectangle, then I should be correct:

Each angle of a rectangle is 90 degrees, so MJK is 90

Since we know angle KJL is 27, and MJK is 90, just subtract them to get 63.

Angle JLK should be equal to angle MJL so it is also 63

Angle KML should be equal to angle KJL so it would also be 27

And finally, angle JKN should be 27 so 27+27=54. And since all angles of a triangle add up to 180, you can get angle MNL by subtracting 180-54 to get 126 because angle MNL and JNK/KNJ are equal to each other

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Let x be the tax rate. Hence, we can write

then, we must move 350 to the righ hand side, it reads

and now, we must convert the rate in decimal form to percentage form.

The relation between these form is

Therefore, we have

then, the answer in percentage is 8%.

The standard error for the mean finish time of 30 randomly selected participants in the 40-44 age group is 0.073 hours.

To find the standard error for the mean finish time of 30 randomly selected participants in the 40-44 age group, you can use the formula:

Standard Error = Standard Deviation / √(Sample Size)

Given:
Standard Deviation = 0.40 hours
Sample Size = 30

Plugging in the values, we have:

Standard Error = 0.40 / √(30)

Calculating the square root of 30, we get approximately 5.477.

Therefore, the standard error for the mean finish time of 30 randomly selected participants in the 40-44 age group is:

Standard Error ≈ 0.40 / 5.477 ≈ 0.073

Rounding to the nearest thousandth, the standard error is 0.073.

The standard error for the mean finish time of 30 randomly selected participants in the 40-44 age group is 0.073 hours.

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As both prism have the same base area and height there volumes are the same.

What is called prism?

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                             = 5 units*12 units

                            = 60 cubic units

As both prism have the same base area and height there volumes are the same.

Therefore, The length of the longer side is the length of the triangle itself.

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The complete question is -

Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge

Answer:

Step-by-step explanation:

yes

the answer is (1/2)(5+9)(3) = 21

Answer:

n=33

Step-by-step explanation:

if m=24then 90+24=114

hence 180-114=66

66÷2=33

Answer:

1/4; 25%

Step-by-step explanation:

if a year has four seasons we can say that there are 4 possibilities

spring appears once

this means that the probability that a day chosen at random will be in spring would be 1 out of 4

or 25%

Answer:

Step-by-step explanation:

A polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 1, 3 is (x- -2)(x-1)(x-3) = x^3 - 6x^2 + 11x - 6

ANSWER

EXPLANATION

The initial value of the textbook is given as $65 and it decreases at a rate of 14% per year for 13 years.

Since this is an exponential function, it will be in the form:

where P = initial value

R = rate

t = time elapsed

A = amount after time t

From the question:

P = $65

R = 16%

t = 13 years

Therefore, the exponential function that models the situation is therefore:

Therefore, the value of the textbook after 13 years is:

That is the value after 13 years.

Answer:

x = 1/2QN^2

Step-by-step explanation:

The Pearson correlation coefficient = r =\(\\sqrt{0.64}\\\) = \(\\pm0.80\)

The absolute value of Pearson correlation coefficient is greater than 0.75, the relationship between two variables is very strong.

The Percentage of the variance in the relationship between these two variables accounted for is 0.64×100=64%

Correlation Coefficient value always lies between -1 to +1. If correlation coefficient value is positive, then there is a similar and identical relation between the two variables. Else it indicates the dissimilarity between the two variables.

The covariance of two variables divided by the product of their standard deviations gives Pearson’s correlation coefficient. It is usually represented by ρ (rho).

ρ (X, Y) = cov (X, Y) / σX.σY.

Given, coefficient of determination, \(r^2\) = 0.64

a)  Pearson correlation coefficient = r =\(\\sqrt{0.64}\\\) = \(\\pm0.80\)

b) Since the absolute value of Pearson correlation coefficient is greater than 0.75, the relationship between two variables is very strong.

c) Percentage of the variance in the relationship between these two variables accounted for is 0.64×100=64%

Therefore, the Pearson correlation coefficient = r =\(\\sqrt{0.64}\\\) = \(\\pm0.80\), the absolute value of Pearson correlation coefficient is greater than 0.75, the relationship between two variables is very strong, Percentage of the variance in the relationship between these two variables accounted for is 0.64×100=64%.

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Answer:

Step-by-step explanation:

Planet A has a mass of 8× 10²5 kilograms. Planet B has a mass of 6×10 kilograms. Choose which planet has the larger mass. Then fill in th blank with a number written in standard notation. Planet A has the larger mass. The mass of Planet A is times as large as the mass of Planet B. O Planet B has the larger mass. $0 times as large as the mass of Planet A.

Answer:

10

Step-by-step explanation:

im him trust

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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Given function:

Zero's are:

1.  

2.

3.

Answer:

\(\textsf{$x=0$ with multiplicity 2.}\)

\(\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}\)

\(\textsf{$x=4$ with multiplicity 2.}\)

Step-by-step explanation:

The multiplicity of a zero refers to the number of times the associated factor appears in the factored form of the equation of a polynomial.

Given polynomial:

\(f(x)=x^2(2x+3)^5(x-4)^2\)

To find the zeros of the given polynomial in factored form, set each factor to zero and solve for x:

\(\implies x^2=0 \implies x=0\)

\(\implies 2x+3=0 \implies x=-\dfrac{3}{2}\)

\(\implies x-4=0 \implies x=4\)

As the factor "x" appears twice in the factored form of the polynomial,  the associated zero has multiplicity 2.

As the factor (2x - 3) appears five times in the factored form of the polynomial, the associated zero has multiplicity 5.

As the factor (x - 4) appears twice in the factored form of the polynomial, the associated zero has multiplicity 2.

Solution

\(\textsf{$x=0$ with multiplicity 2.}\)

\(\textsf{$x=-\dfrac{3}{2}$ with multiplicity 5.}\)

\(\textsf{$x=4$ with multiplicity 2.}\)

The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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Answer:

x = 6

Step-by-step explanation:

The 'ZERO" of the function is the 'x' value(s) where it crosses the x-axis (and

'y' = ZERO)

Answer:

x = 6

Step-by-step explanation:

the zero of the function is the value of x on the x- axis where the graph crosses.

the graph crosses the x- axis at 6

then the zero is x = 6

Answer:

x=6y+1

x=y+1

Step-by-step explanation:

Answer:        我不知道你好

Step-by-step explanation:

The dimensions of the package of maximum volume that can be sent are approximately 7.8 inches in radius and 21.3 inches in height.

Let's assume that the package has a height 'h' and a radius 'r'. The perimeter of the cross-section of a cylinder is the circumference of the circle plus the height multiplied by two, which can be written as:

Perimeter = 2πr + 2h

Given that the maximum combined length and circumference is 114 inches, we can write:

2πr + 2h + 2r = 114

Simplifying this equation, we get:

πr + h = 57 - r ----(1)

The volume of the cylinder is given by:

\(V = πr^2h\)

Now, we can use equation (1) to eliminate 'h' from the volume equation:

\(V = πr^2(57 - r - πr)\)

Expanding and simplifying this equation, we get:

\(V = πr^3 - π^2r^3/3 + 57πr^2 - 57π^2r\)

To find the dimensions of the package that maximize the volume, we need to find the value of 'r' that maximizes the volume. We can do this by taking the derivative of the volume equation with respect to 'r' and setting it equal to zero:

\(dV/dr = 3πr^2 - π^2r^2 + 114πr - 57π^2 = 0\)

Solving for 'r', we get:

r ≈ 7.8 inches

Substituting this value of 'r' back into equation (1), we can find the value of 'h':

h ≈ 21.3 inches

Therefore, the dimensions of the package of maximum volume that can be sent are approximately 7.8 inches in radius and 21.3 inches in height.

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Answer: False

Step-by-step explanation:

Okay, -10 is less than -4 .

But, -10 is not greater than 5, 5 is positive and -10 is negative.

The given mean home range of San Joaquin Antelope Squirrels is 14.4 hectares with a standard deviation of 3.7 hectares. Given that a hectare is 10,000 sq. meters, we need to calculate the following: a. Proportion of San Joaquin squirrels having a home range bigger than 15 hectares.

Percentage of San Joaquin squirrels having a home range bigger than 15 hectares. c. Proportion of San Joaquin squirrels having a home range smaller than 5 hectares. d. Percentage of San Joaquin squirrels having a home range smaller than 5 hectares. e. Proportion of San Joaquin squirrels having a home range between 10 and 20 hectares.

Let X be the home range of San Joaquin squirrels. It is given that the mean home range of San Joaquin Antelope Squirrels is 14.4 hectares, and the standard deviation is 3.7 hectares. The area of the home range is measured in hectares. One hectare is equal to 10,000 sq. meters. Therefore,

one hectare = 10^4 m². Hence, the sample mean and sample standard deviation are:

μX = 14.4 hectaresσ

X = 3.7 hectares The Z-score of 15 hectares can be calculated as follows:

Z = (X - μX) /

σXZ = (15 - 14.4) /

3.7Z = 0.1622 Therefore, the proportion of San Joaquin squirrels having a home range bigger than 15 hectares is 0.438.NOTE: Statcrunch is a web-based statistical software package, which allows you to perform statistical analyses on the Internet. It is commonly used by researchers, educators, and students to analyze and interpret data.

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Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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There are 104,400 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times.

To find the number of 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times, we can use the following approach:

1. Choose the position for the digit 8: There are 5 positions in a 5-digit number, so we can choose one of them in 5 ways.

2. Choose the digits for the remaining 4 positions: We need to choose digits from 0 to 9 such that no digit appears exactly three times. Let's consider the following cases:

Case 1: No digit appears more than twice. In this case, we can choose the digits for the remaining 4 positions in 9*8*7*6 ways (since we cannot use the digit 8 and we need to choose 4 distinct digits from the remaining 9 digits).

Case 2: One digit appears exactly twice. In this case, we need to choose the digit that appears twice and the other two digits. We can do this in 9*8*3 ways (since we have 9 choices for the digit that appears twice, 8 choices for its position, and 3 choices for the other two digits).

Case 3: Two digits appear exactly twice. In this case, we need to choose the two digits that appear twice and their positions. We can do this in 9*8*3*2 ways (since we have 9 choices for the first digit that appears twice, 8 choices for its position, 3 choices for the second digit that appears twice, and 2 choices for its position).

3. Multiply the results from step 1 and step 2: We need to multiply the number of choices for the position of the digit 8 (5) with the number of choices for the remaining 4 positions (from step 2). Therefore, the total number of 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times is:

5*(9*8*7*6 + 9*8*3 + 9*8*3*2) = 104,400

Therefore, there are 104,400 5-digit numbers including leading zeros with exactly one 8 and no digit appearing exactly three times.

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Answer: Angle BGA

Step-by-step explanation:

When added together they make 180 degrees.

The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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Answer:

40

Step-by-step explanation:

The formula is: a² + b² = c²

Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.

9² + b² = 41²

Which the answer is 40.