Graph x + 2y = 6.
How??????????????

Answer:

The probabilities of each suspect being guilty are

   \(P(S)  =  0.243\)

    \(P(W)  =  0.027\)

\(P(T) = 0.001\)

Step-by-step explanation:

Generally from the question we are told that

The number of suspects is N = 3

The number of witnesses that reported seeing a short man is k = 2

The number of witnesses that reported seeing a woman is u = 1

The probability of a witness being correct is p = 0.90

The probability of a witness not being correct is q 0.10

Generally the number of  witnesses that reported seeing a tall  man is h =  0

Generally the probability the short man being guilty is mathematically represented as

\(P(S) = ^N C_k * p^k * q^{N - k }\)

Here C stands for combination

\(P(S) = ^3 C_2 * (0.90)^2 * (0.10)^{3 - 2 }\)

         \(P(S)  =  0.243\)

Generally the probability the woman being guilty is mathematically represented as

         \(P(W)  =  ^N C_u  *  p^u  *  q^{N - u }\)

=>       \(P(W)  =  ^3 C_1  *  p^1  *  q^{3 - 1 }\)

=>       \(P(W)  =  0.027\)

Generally the probability the  tall man being guilty is mathematically represented as

          \(P(T)  =  ^N C_h  *  p^h  *  q^{N - h }\)

=>       \(P(T)  =  ^3 C_0  *  p^0  *  q^{3 - 0 }\)

=>       \(P(T)  = 0.001\)

Answer:

hdisiejehe

Step-by-step explanation:

step sister

Answer:

C) (-6,0)(2,0)

For x-intercept, f(x) = 0:

\({ \tt{ {x}^{2} + 4x - 12 = 0 }} \\ { \tt{(x - 2)(x + 6) = 0}} \)

Answer:

C) (-6,0)(2,0)

Step-by-step explanation:

f(x)= x²+4x-12

(x-2)(x+6)=0

x=2

x=-6

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

If a local restaurant owner surveyed 100 of his customers to determine.  the two-way table summarizing the data is

Italian Dressing Ranch Dressing Total

Cheese 38 18 56

No Cheese 0 22 22

Total 38 41 100

Here is the two-way table summarizing the data:

Italian Dressing Ranch Dressing Total

Cheese 38 ? ?

No Cheese ? ? 22

Total ? 41 100

To fill in the missing values, we can use the information given in the problem:

   38 customers like Italian dressing and cheese on their salad.

   41 people preferred ranch dressing over Italian.

   22 customers prefer no cheese at all.

From this information, we can deduce that:

Using these deductions, we can fill in the missing values:

Italian Dressing Ranch Dressing Total

Cheese 38 18 56

No Cheese 0 22 22

Total 38 41 100

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The annual percentage growth rate is 5.9%

The doubling time of an investment of $10000 is 12 years

The compound interest caluclated annually can be given by

A=P(1 + r/n)^nt

where A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

20000 = 10000(1 + r)¹²

2⁻¹² = 1 + r

r = 1.059 - 1

r = 0.059

Rate of inetrest = 5.9%

Therefore, the annual percentage growth rate is 5.9%

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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Answer:

5

Step-by-step explanation:

|x+3| when x = 2 is |2+3| = |5| = 5

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number.

Answer:

30

Step-by-step explanation:

3 + (6 * 4) + 3 = 30

hope this helps

To measure the magnitude of the orbital angular momentum L and the projection of the angular momentum along a particular axis (say, the z-axis), we need to use the mathematical formalism of quantum mechanics.

In quantum mechanics, the orbital angular momentum L of a particle is an operator that acts on the wave function describing the particle's motion. Similarly, the z-component of the angular momentum Lz is also an operator.

The magnitude of the orbital angular momentum L can be calculated from the components of the angular momentum operator using the expression:

L^2 = L₁^2 + L₂^2 + L₃^2

where L₁, L₂, and L₃ are the x, y, and z components of the angular momentum operator, respectively. To measure the magnitude of the orbital angular momentum, we would need to measure the values of L₁ L₂, and L₃ and use them to calculate L^2.

The projection of the angular momentum along a particular axis (say, the z-axis) is given by the operator L₃. To measure the z-component of the angular momentum, we would need to measure the value of L₃ for a particular state of the system.

In practice, these measurements are often carried out using experiments involving the interaction of particles with magnetic fields. The behavior of the particles in the magnetic field allows us to infer information about the angular momentum of the particles.

The measurement of the magnitude and projection of angular momentum is an important part of many areas of physics, including quantum mechanics and solid-state physics.

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The distance traveled in the time interval 0 ≤ t ≤ 6, given the velocity function v(t) = t^2 - 6t - 16, can be determined by calculating the definite integral of the absolute value of the velocity function over the given time interval. The result is 128 units of distance.

To find the distance traveled in the given time interval, we need to integrate the absolute value of the velocity function v(t) = t^2 - 6t - 16 over the interval 0 ≤ t ≤ 6. The reason for taking the absolute value is that distance is a scalar quantity and does not depend on the direction of motion.

Taking the integral of the absolute value of the velocity function, we have:

∫|v(t)| dt = ∫|t^2 - 6t - 16| dt

To evaluate this integral, we need to split it into intervals where the velocity function is positive and negative. The absolute value function essentially removes the negative sign from the expression inside the absolute value brackets.

Next, we find the points where the velocity function changes sign by setting v(t) = 0:

t^2 - 6t - 16 = 0

Solving this quadratic equation, we find t = -2 and t = 8 as the points where the velocity changes sign.

Now, we evaluate the integral over the intervals [0, 2] and [2, 6] separately, considering the absolute value of the velocity function within each interval.

∫|v(t)| dt = ∫(t^2 - 6t - 16) dt over [0, 2] + ∫(-(t^2 - 6t - 16)) dt over [2, 6]

Evaluating the definite integrals, we obtain:

(128/3) + (128/3) = 256/3

Therefore, the distance traveled in the time interval 0 ≤ t ≤ 6 is 256/3 units of distance, which is approximately 85.33 units of distance.

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Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Only the first statement is false. The rest are true statements about the Central Limit Theorem.

The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.

It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.

The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.

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Answer:

a)= 5x+10

b)= 7y-6

c)= 6x-6

d)= 2x^2+8x-5

e)= 6x+9

f)= 4xy-4y^2+8y

g)= -12y^2+10y

h)= 6x+154

i)= 6x+21

h)= 2x^2+16

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

you can make 12 cans of them

Answer:

a=5

b=15

Step-by-step explanation:

By following the pattern on the table we can see that the x is increasing by 1 and the y is increasing by 3 each time. Therefore, the next set of numbers would be (5,15).

Answer:

what do you need to know

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

16+16=32

16+16=32

32+32=64

64+16=80

80+8=88

Answer:

Option B is the correct option.

Here,

Adjacent=15

Hypotenuse=17

Now,

\(cos \: theta = \frac{adjacent}{hypotenuse} \\ cos \: 28 = \frac{15}{17} \)

Hope this helps..

Good luck on your assignment..

Answer:

B. 15/17

Step-by-step explanation:

(see attached graphic for reference)

Because we have a right triangle (i.e one of the internal angles is 90 degrees), we can use trigonometry to solve

from the diagram, we can see that

cos 28° = adjacent length / hypotenuse

we can also see that the length adjacent to 28° = 15 units and the hypotenuse is 17 units,

hence, substituting these values into the equation:

cos 28° = 15 / 17   (answer)

edit: typo

66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.

67) The distance around a rectangle is called a perimeter.

The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.

When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.

For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.

As you return to school after the summer breaks, you decide how much savings you must spend. It is maths.  Any time calculations are involved, it requires maths.

Length of the yard = 24.75 feet

Width of the yard = 12.75 feet

Perimeter of the yard = 75 feet (24.75 + 12.75)2

Charges for a yard of iron fencing = $50 per yard

3 feet = 1 yard

75 feet = 25 yards (75/3)

The cost of 25 yards = $1,250

Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.

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The number that is not irrational is \(1.\overline{45}\). The correct option is the second option \(1.\overline{45}\)

From the question, we are to determine which of the given options is not irrational

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q, where p and q are integers.

\(1.\overline{45}\)  is a repeating decimal and it can be expressed as a fraction

\(1.\overline{45} = \frac{144}{99}\)

∴ \(1.\overline{45}\) is not an irrational number. It is a rational number

The other options cannot the expressed as a fraction.

Hence, the number that is not irrational is \(1.\overline{45}\). The correct option is the second option \(1.\overline{45}\)

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The simplified expression is cos(x) of trigonometric expression  (sin (30° + x)+sin (30° - x))

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We can simplify this expression using the sum-to-product formula for sine:

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Let's use this formula by setting a = 30° and b = x:

sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)

We know that sin(30°) = 1/2, so we can substitute:

sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)

sin(30° + x) + sin(30° - x) = cos(x)

Therefore, the simplified expression is cos(x).

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Answer:

A

Step-by-step explanation:

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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To calculate the area of a square, just do length×width. In this case, it is 3×3, so the answer should be 9 square yards.

Answer:

216

Step-by-step explanation:

To find the volume of the pyramid we have to do length * width * height / 3

The length is 9yd

The width is 8yd

The height is 9yd

So 9 * 9 * 8 = 648

648 / 3 = 216

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once