Find each value requested for the set of scores in the following frequency distribution table.

The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.

The solution of the matrix equation is calculated by applying Cramer's rule as shown below;

[ 1     1     -1 ]  [ 7 ]

[ 2    3     0 ] [ 18 ]

[ -5   -7    -1 ] [ -43 ]

The determinant of the matrix is calculated as follows;

[ 1     1     -1 ]  

[ 2    3     0 ]

[ -5   -7    -1 ]

Δ = 1 (-3 - 0) - 1(-2 - 0 )  - 1(-14 + 15)

Δ = -2

The x determinant of the matrix is calculated as follows;

[ 7     1     -1 ]  

[ 18    3     0 ]

[ -43   -7    -1 ]

Δx = 7 (-3 - 0) - 1 (-18 - 0 )  - 1(-126 + 129)

Δx = -6

The y determinant of the matrix is calculated as follows;

[ 1     7     -1 ]  

[ 2    18     0 ]

[ -5   -43   -1 ]

Δy = 1 (-18 - 0 )   - 7(-2 - 0 )  -1(-86 + 90)

Δy = -8

The z determinant of the matrix is calculated as follows;

[ 1     1     7 ]  

[ 2    3    18 ]

[ -5   -7   -43]

Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)

Δz = 0

The values of x, y , and z is calculated as;

x = Δx/Δ = -6/-2 = 3

y = Δy/Δ = -8/-2 = 4

z = Δz/Δ = 0/-2 = 0

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Answer:

8

Step-by-step explanation:

1 foot=12 in. So we can do 96/12=8.

The value of measure of x in the triangle is,

⇒ x = 4√3 units

We have to given that,

A triangle is shown in image.

Now, WE can formulate by trigonometry formula we get;

⇒ tan 30° = Opposite / Base

⇒ tan 30° = 4 / x

⇒ 1/√3 = 4/x

⇒ x = 4√3 units

Thus, The value of measure of x in the triangle is,

⇒ x = 4√3 units

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

Step-by-step explanation:

a) The number of people showing up at the bar during any given minute is a Poisson process with an average rate of 1 person per minute. Let X be the number of people who show up during a random minute. Then X follows a Poisson distribution with parameter λ = 1. The probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - P(X < 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

We can use the Poisson probability mass function to find P(X = k) for k = 0, 1, 2:

P(X = k) = (e^-λ) * (λ^k) / k!

Plugging in λ = 1, we get:

P(X = 0) = e^-1 / 0! = 1/e

P(X = 1) = e^-1 * 1^1 / 1! = 1/e

P(X = 2) = e^-1 * 1^2 / 2! = 1/2e

So, the probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2)) = 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e) = 1 - (5/2e)

b) The probability of having to wait at least 3 minutes for the next person to show up is equal to the probability of having 0, 1, or 2 people show up during the first three minutes. Using the same calculation as above, we find:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = (1/e) + (1/e) + (1/2e) = (2/e + 1/2e) = (5/2e)

So, the probability of having to wait at least 3 minutes for the next person to show up is 1 - (5/2e) = 1 - P(X <= 2).

c) If he has already waited for 1 minute, the probability of having to wait at least 3 more minutes for the next person to show up is equal to the probability of having 0 or 1 people show up during the next 2 minutes. Using the same calculation as above, we find:

P(X <= 1) = P(X = 0) + P(X = 1) = (1/e) + (1/e) = 2/e

So, the probability of having to wait at least 3 more minutes for the next person to show up is 1 - (2/e) = 1 - P(X <= 1).

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Answer: wwoww you don't know math

way

Step-by-step explanation:

Answer:

\(y = \frac{3}{2}x + 6\)

Step-by-step explanation:

Rearranging the equation:

\(4y = 6x + 24\)

The coefficient of y has to be '+1' for the above equation to be considered as the slope-intercept form.

Dividing both sides of the equation by '4':

\(\frac{4}{4}y = \frac{1}{4}(6x + 24)\)

Expand the brackets by applying the Distributive Law:

\(\frac{4}{4}y = \frac{6}{4}x + \frac{24}{4}\)

\(y = \frac{6}{4}x + 6\)

Divide the numerator and the denominator present in the coefficient of x by the Highest Common Factor '2':

\(y = \frac{3}{2}x + 6\)

Given: ∠XAM = ∠YBM = 90°    and     AM = BM

To prove: BX ≅ AY

Proof:

In the triangle XAM and BYM:

From the ASA rule of congruency, we can say that: ΔXAM ≅ ΔYBM

Since ΔXAM ≅ ΔYBM: We can say that XM ≅ MY     [CPCT - Common Part of Congruent triangles]

In the Triangle AMY and XMB:

From the SAS rule of congruency, we can say that: ΔAMY ≅ ΔXMB

Since ΔAMY ≅ ΔXMB: We can finally say that BX ≅ AY    [CPCT]

Hence Proved!

Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

For the situation described, we have that:

Hence:

\(\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}\)

Applying cross multiplication:

\(h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}\)

h = 284.77 meters.

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Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

Answer:

3 Hundredths is 0.03 because 3 over 100 same with 5 hundredths it is 0.05 which is 5 over 100

Answer:

Step-by-step explanation:

Your answer

40% of 365000 is = 146000

Mark it as Brainlist answer. Follow me.

The given conditions to find the values of all six trigonometric functions is cos (x) =-5/9, sin (x) = 2 root(14)/9, tan(x)= - 2 root(14)/5 and cot(x)= - 5 (2 root 14), csc(x)= 9 /2root (14).

What is trigonometric functions ?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle.

\($\sec (x)=-\frac{9}{5} < 0$\)and \($\tan (x) < 0$\)

so, x is in the second quadrant.

So, \($\cot (x), \cos (x)$\)are negative and \($\sin (x), \csc (x)$\) are positive.

Hence,

\($$\begin{aligned}\cos (x) & =\frac{1}{\sec (x)}=-\frac{5}{9} \\\sin (x) & =\sqrt{1-\cos ^2(x)}=\sqrt{1-\frac{25}{81}}=\frac{2 \sqrt{14}}{9} \\\tan (x) & =\frac{\sin (x)}{\cos (x)} \\& =-\frac{2 \sqrt{14}}{5} \\\cot (x) & =\frac{1}{\tan (x)}=-\frac{5}{2 \sqrt{14}} \\\csc (x) & =\frac{1}{\sin (x)}=\frac{9}{2 \sqrt{14}}\end{aligned}$$\)

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The exact values of \(cos\theta\), \(tan\theta\), and \(cosec\theta\) are \(\frac{\sqrt{33} }{7}\), \(\frac{4}{\sqrt{33} }\) and \(\frac{7}{4}\) respectively.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

In a right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle.

According to the given question.

We have a right angle triangle ABC.

In which

AB = 7

AC = 4

Now by Pythagoras Theorem

\(AB^{2} =AC^{2} +BC^{2}\)

⇒ \((7)^{2} = (4)^{2} + BC^{2}\)

⇒ \(49 = 16 +(BC)^{2}\)

⇒ \(49 - 16=BC^{2}\)

⇒ \(BC^{2} = 33\)

⇒ \(BC=\sqrt{33}\)

In the right angle triangle

Hypotenuse, AC = 7

The side BC is the adjacent side w.r.t angle θ.

And, Side BC is the opposite side w.r.t angle θ.

Therefore,

\(tan\theta=\frac{4 }{\sqrt{33} }\)

\(cos\theta= \frac{\sqrt{33} }{7}\)

\(sin\theta= \frac{4}{7}\)

\(cosec\theta=\frac{1}{sin\theta} =\frac{1}{\frac{4}{7} } =\frac{7}{4}\)

Hence, the exact values of \(cos\theta\), \(tan\theta\), and \(cosec\theta\) are \(\frac{\sqrt{33} }{7}\), \(\frac{4}{\sqrt{33} }\) and \(\frac{7}{4}\) respectively.

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The values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:

Ratio of their perimeters:  14/9

Ratio of their areas: 196/81

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

The ratio of the perimeter of similar figures = a side length of one figure / corresponding side length of the other figure

The ratio of the areas of two similar figures = square of a length of one figure / square of a corresponding length of the other

Thus:

Side length of Red figure = 14

Side length of Blue figure = 9

Therefore:

The ratio of their perimeter = Side length of red figure / Side length of blue figure

Ratio of the perimeter of red figure to blue figure = 14/9

The ratio of their areas = Side length of red figure / Side length of blue figure

Ratio of the perimeters of red figure to blue figure

= 14²/9² = 196/81

In summary, the values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:

Ratio of their perimeters:  14/9

Ratio of their areas: 196/81

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Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

3/8 + 1/4 is 5/8 and 1/10+4/5 is 1

Step-by-step explanation:

convert 1/4 to 2/8 and add to 3/8 to get 5/8

convert 4/5 to 9/10 and add to 1/10 equals 10/10 which is also 1

Answer:

9/10 (and 5/8 for question in title)

Step-by-step explanation:

To add fractions, you need to make a common denominator, which you can have a common denominator of 10.

To do this, multiply the numerator (4) and the denominator (5) by 2. You will get 8/10.

Now you can add them together: 8/10 + 1/10 = 9/10

I don't know if you wanted the question in the title answered too so here:

Same thing; common denominator. Use 8. Multiply 1 by 2 and 4 by 2. You get 2/8.

Add: 3/8 + 2/8 = 5/8

5 servings looked It up

Alex has 5 1/5cups of dog food. A serving of dog food is 4/5cup. Therefore, Alex has 4 servings.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Alex has 5 1/5 cups of dog food. A serving of dog food is 4/5 cup.

\(5\dfrac{1}{5} = \dfrac{26}{5}\\\\= \dfrac{26}{5}/ \dfrac{4}{5} \\\\= \dfrac{26}{5}\times \dfrac{5}{4} \\\\=\dfrac{26}{4}\)

Therefore, Alex has 4 servings.

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This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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Answer:

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a. The decimal number 0.00000896 can be written as 8.96 × \(10^{-6}\) in scientific notation.

b. 1.1105 pounds is written in standard notation as 1.1105 pounds.

We have,

(a) To write the number 0.00000896 moles per liter in scientific notation, we move the decimal point to the right until there is one

non-zero digit to the left of the decimal point.

The number of decimal places we moved to the decimal point will be the exponent of 10 in the scientific notation.

So,

= 0.00000896

= 896/100000000

= 896 x 100/100 x \(10^{-8}\)

= 896/100 x \(10^{-8 + 2}\)

= 8.96 × \(10^{-6}\)

(b)

To write the number 1.1105 pounds in standard notation, we simply write the number as it is, without any scientific notation or exponent.

1.1105 pounds is written in standard notation as 1.1105 pounds.

Thus,

a. The decimal number 0.00000896 can be written as 8.96 × \(10^{-6}\) in scientific notation.

b. 1.1105 pounds is written in standard notation as 1.1105 pounds.

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When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

The given points are:

the distance between A and B is 5

the distance from C to B is 12

then using the pythagorean theorem we obtain that the distance between A and C is:

Answer:

1- Laissez-fare capitalism means that the government reduces its involvement in the economy.

2- In a capitalist system, private investors own most factories and businesses.

3- In a free market, the law of supply and demand determines the price of goods.

Step-by-step explanation:

1- Laissez fare is a French expression that refers to liberal economic policies, in which economic actors have ample freedom to carry out different activities without limitations, regulations or government controls, thereby reducing their participation in the economy.

2- In capitalism, the means of production are owned by the different actors who, through the investment of their capital, acquire them and use them to produce new goods or services. These people, called investors, control these media (factories, industries, companies, etc.) and give jobs to people, who produce for these investors in exchange for a salary.

3- The concept of free market implies an economic system in which there are no government regulations that govern the consumption or production of goods and services in a given territory. Thus, the goods offered, their price and their characteristics are determined exclusively by the market, which through the law of supply and demand (that is, through the price bid between consumers and producers) determines their prices.

Answer:

Salutations :D !

The answers are:

-limits.

-private individuals.

-supply and demand.

Have a lovely day <3

By using the BODMAS rule, Where

B stands for the bracket, O stands for of, D stands for division, M stands for multiplication, A stands for addition, and S stands for subtraction

so ,now

\([45-(25+8)]*18\\\)

\([45-33]*18\\=216\\\)

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Answer:

Step-by-step explanation:

[45- (25+8)] X 18 =

[45 - (25 + 8)] × 18 =

[45 - 33] × 18 =

12 × 18 =

216

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

25.7 percent

Step-by-step explanation:

This is assuming she doesn't add the topic she picked back in

11/19 x 8/18 = 25.7 percent

Answer:

44.000000001 (exact) or rounded up 44

Step-by-step explanation:

14.666666667*3 because 1 yard= 3 feet

One yard is 3 feet, which means we will have to mutliple 14 2/3 by 3.

14 x 3 =42

2/3 of a yard is 2 feet, which means we must add 2 to 42--->

42+2= 44

14 2/3 yards is 44 feet.

Hope This Helps <3

The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

For the gardener to be correct,

8×Perimeter of the roller = Length of the bowling green

Therefore,

Let use first find the perimeter of the roller

Where:

Substitute these values into equation 1

For 8 full rotation,

Comparing the distance for 8 revolution of the roller with the length of the bowling green,

Therefore, the gardner is correct

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