Find yx and 2yx2 at the given point without eliminating the
parameter. x=133+7, y=144+8, =2. yx= 2yx2=

The probability that more than 3 of the entry forms will include an order is approximately 0.9896 or 98.96%.

This is a binomial distribution problem, where:

n = 18 (number of trials)

p = 0.3 (probability of success, i.e., an order being placed)

q = 1 - p = 0.7 (probability of failure, i.e., no order being placed)

We want to find the probability of more than 3 successes, which can be written as:

P(X > 3) = 1 - P(X ≤ 3)

To calculate this, we need to use the binomial cumulative distribution function or a binomial probability table. Alternatively, we can use the complement rule:

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]

Using the binomial probability formula, we can calculate each of these probabilities:

P(X = k) = (n choose k) * \(p^k * q^{(n-k)\)

where (n choose k) = n! / (k! * (n-k)!) is the binomial coefficient.

P(X = 0) = (18 choose 0) * \(0.3^0 * 0.7^1^8\) = 0.000005

P(X = 1) = (18 choose 1) * \(0.3^1 * 0.7^1^7\) = 0.00016

P(X = 2) = (18 choose 2) *\(0.3^2 * 0.7^1^6\)= 0.0017

P(X = 3) = (18 choose 3) *\(0.3^3 * 0.7^1^5\) = 0.0086

Therefore

P(X > 3) = 1 - [0.000005 + 0.00016 + 0.0017 + 0.0086] ≈ 0.9896

So the probability that more than 3 of the entry forms will include an order is approximately 0.9896 or 98.96%.

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A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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After answering the given query, we can state that As a result, the cube in the picture has a capacity of 1000 cubic centimeters.

A cuboid is a solid or three-dimensional form in terms of geometry. A cuboid is a convex polyhedron that has 6 rectangle faces, 8 edges, and 12 sides. It is also known as a cuboid. A cube is a cuboid because it has six square sides. Books and bricks are two instances of things you might find in crates. The major distinctions between cubic and cubic are as follows: In contrast to a cube's rectangular sides, a cube's faces are square and equal in height. Although the cube and cuboid have shapes that are visibly identical, they are fundamentally different, especially in terms of side length, diagonal, and area.

Volume = side length x 3

When we change the side length to 10 centimeters, we obtain:

Volume equals 103 cm3.

Volume equals 1000 cm3

As a result, the cube in the picture has a capacity of 1000 cubic centimeters.

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Answer:

∠9 + ∠10 = 135°      combined, they are alternate equal to ∠2

∠1 =45°                    it is supplementary to ∠2

∠6 = 45°                  it is corresponding congruent to ∠8 which is alternate

                               equal to ∠1  

∠4 + ∠5 = 135°        combined, they are corresponding congruent to ∠2  

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

All the angles are mentioned on the diagram.

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

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Answer:

Step-by-step explanation:

4 (x + 2) =30

4x + 8 = 30

4x = 30 - 8

4x = 22

x = 22 : 4

x = 5.5

check

(5.5 + 2) * 4 = 30

the answer is good

Answer:

the cost of each sandwich is 5.5

Step-by-step explanation:

we have,

4(x+2) = 30

we know a(b+c) = ab+ac

so, when we open the bracket we get,

4(x+2) = 4x+4*2 which is equal to 4x+8

so, 4x+8 = 30

=>   4x = 30 - 8         [transposing method]

=>   4x = 22

=>   x = 22/4

=>   x = 5.5

hope this helps

50%

since 98/2 = 49

Thats it

The empirical formula of the uranium chloride is UCl₁.

To determine the empirical formula of the uranium chloride, we need to calculate the mole ratio of uranium to chloride in the compound.

First, we need to find the moles of uranium and chloride in the given sample.

Mass of uranium (U) = 0.176 g

Atomic mass of uranium (U) = 238.03 g/mol

Moles of uranium (U) = mass / atomic mass = 0.176 g / 238.03 g/mol ≈ 0.0007387 mol

Since the molar ratio between uranium and chloride is 1:1 in the empirical formula, the moles of chloride will also be approximately 0.0007387 mol.

Next, we can convert the moles of chloride to grams using the molar mass of chloride.

Mass of chloride (Cl) = 0.255 g - 0.176 g = 0.079 g

Now, we can calculate the molar mass of chloride (Cl).

Molar mass of chloride (Cl) = mass / moles = 0.079 g / 0.0007387 mol ≈ 107 g/mol

The empirical formula of the uranium chloride can be determined by dividing the subscripts of each element by their greatest common divisor (GCD). In this case, the GCD of 1 and 1 is 1.

Therefore, the empirical formula of the uranium chloride is UCl₁.

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The region is made up of

• a right triangle with short leg 10 m and hypotenuse 26 m

• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)

• another triangle with two known legs of length 20 m and 26 m

Find the height of the right triangle using the Pythagorean theorem. If the height is h, then

(10 m)² + h² = (26 m)²   ⇒   h² = 576 m²   ⇒   h = 24 m

This height is common to all three shapes.

Now find the area of each shape.

• right triangle:

1/2 × (10 m) × (24 m) = 120 m²

• parallelogram:

(40 m) × (24 m) = 960 m²

• other triangle:

• 1/2 × (20 m) × (24 m) = 240 m²

Then the total area of the shaded region is 1320 m².

Answer:

ac/b

Step-by-step explanation:

Two samples can have the same mean but different standard deviations due to the spread of data around the mean. Standard deviation is a measure of how much the data values differ from the mean. The greater the deviation of the data points from the mean, the greater the standard deviation.

Two samples can have the same mean but different standard deviations because standard deviation is a measure of the spread of data around the mean. If the data values are tightly clustered around the mean, the standard deviation will be small. If the data values are spread out around the mean, the standard deviation will be large. Therefore, two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample.

Two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample. For example, consider two samples of test scores. Sample A has a mean score of 80 and a standard deviation of 5. Sample B has a mean score of 80 and a standard deviation of 10. The scores in Sample B have more variability than the scores in Sample A.In a bar graph, the means of the two samples can be represented by two bars with the same height. The standard deviations of the two samples can be represented by error bars on each bar. The error bars show the variability of the data in each sample. The length of the error bars for Sample B would be longer than the length of the error bars for Sample A.

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Answer:

42

Step-by-step explanation:

Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3

Step-by-step explanation:

1.  there is no numbers to multiply together, so just add the a's and b's

2.3 stands alone. add the m's and n's together. getting m^2 and n^5

3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3

Lmk if it helps. :)

The clause that Champions is relying on to assert that they are not responsible for Alphonso's losses is a limitation of liability clause. Such clauses are commonly used in contracts to limit one party's liability for certain types of damages or losses. Champions would likely win the case

To determine if the limitation of liability clause is enforceable, we need to apply the specific legal test we learned in the course. The enforceability of limitation of liability clauses depends on factors such as the clarity of the language used, the bargaining power of the parties, and whether the clause covers the specific type of loss suffered by Alphonso.

If the clause is clear, properly negotiated, and covers the losses Alphonso experienced, Champions would likely win the case. However, if the clause is ambiguous, unfairly negotiated, or does not encompass Alphonso's losses, it may not be enforceable.

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Step-by-step explanation:

(sin90)/20= sin67)/x

x= 18

I think its 9.7980........

Answer:

2

6

9

Step-by-step explanation:

Because if you pay attention to our teacher he told us how to respond it!

The correct option is C, the skews are different.

We have two dot plots and we want to see which statement is the best suported by these.

The right one is better distributed, so we can conclude that the correct statement is that the data have different skews.

The ranges may seem also to be different, but are the same ones, in the first one is:

20 - 12 = 8

In the second it is:

19 - 11 = 8

so the correct option is C.

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Answer: B. $80

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

Answer:

x= -1 or x=3

Step-by-step explanation:

Answer:

y = 105

x = 31

Step-by-step explanation:

We have y and 75 as consecutive interior angles.
(Consecutive interior angles are are found between the two parallel lines and on the same side of the transversal)

Sum of two consecutive interior angles = 180°

so we have y + 75 = 180
y = 180-75 = 105

So y = 105

y and (3x+12) are opposite angles and are equal
So 3x+12 = y
3x + 12 = 105
3x = 105-12 = 93
x = 93/3 = 31

So x = 31

Hope it helps!

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer:

8

Step-by-step explanation:

8/3 * 3/1 = 24/3= 8

To find the hole of a rational function, factor both the numerator and denominator and cancel out any common factors.

A rational function is a function that can be written as the ratio of two polynomial functions. A hole in a rational function occurs when both the numerator and denominator of the function have a common factor that can be cancelled out.

The resulting simplified function will have a hole at any value of x that would make the denominator zero after the common factors have been cancelled out.

This value of x is the x-coordinate of the hole. The y-coordinate of the hole can be found by evaluating the simplified function at this value of x. The hole represents a point on the graph of the function where it is undefined due to the cancellation of the common factors.

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Answer:

\(7 0 miles/hour = 103 feet/second\)

Step-by-step explanation:

Given

\(30 miles/hour = 44 feet/second\)

Required

Determine the equivalent of 70 miles per hour

\(30 miles/hour = 44 feet/second\)

Multiply both sides by 7/3

\(\frac{7}{3} * 30 miles/hour = \frac{7}{3} * 44 feet/second\)

\(7 * 10 miles/hour = \frac{7}{3} * 44 feet/second\)

\(7 0 miles/hour = \frac{7}{3} * 44 feet/second\)

\(7 0 miles/hour = \frac{308}{3} feet/second\)

\(7 0 miles/hour = 102.67 feet/second\)

\(7 0 miles/hour = 103 feet/second\) (Approximated)

Answer:

your answer will be A)4.5

Answer:

A

Step-by-step explanation:

If the number of people in the theater must be under 240, then there must be less than 10 seats in each row on the floor to meet fire safety regulations.

if X=10 then, 15 times 10 plus 90 = 240.

Since the number of people must be under 240, there must be less than 10 seats in each row on the floor.