( Need help !!!!!!!!!! Pls )

(a) Point-Normal Form: -11x - 8y - 9z + 45 = 0

(b) General Form: -11x - 8y - 9z + 45 = 0

(c) Vector Form: r = (0, -1, 3) + s(11, 8, 9) + t(0, 0, 1)

(d) Parametric Form: x = 11s, y = -1 + 8s, z = 3 + 9s + t

(a) Point-Normal Form:

To find the equation of a plane in point-normal form, we need a point on the plane and the normal vector to the plane. Let's choose the point (0, -1, 3) from the given points. To find the normal vector, we can take the cross product of two vectors formed by the points.

Vector 1: (2, 2, 1) - (0, -1, 3) = (2, 3, -2)

Vector 2: (-3, 2, 5) - (0, -1, 3) = (-3, 3, 2)

Normal Vector: N = (2, 3, -2) x (-3, 3, 2) = (-11, -8, -9)

Using the point (0, -1, 3) and the normal vector (-11, -8, -9), the equation of the plane in point-normal form is:

-11(x - 0) - 8(y + 1) - 9(z - 3) = 0

(b) General Form:

To write the equation of the plane in general form, we can rearrange the point-normal form equation:

-11x - 8y - 9z + 45 = 0

(c) Vector Form:

The vector form of the equation can be written as:

r = (0, -1, 3) + s(11, 8, 9) + t(0, 0, 1)

(d) Parametric Form:

The parametric form of the equation can be written as:

x = 0 + 11s + 0t

y = -1 + 8s + 0t

z = 3 + 9s + t

Note: In all forms, s and t represent scalar parameters.

Learn more about vectors:

https://brainly.com/question/28028700

#SPJ11

The statement which is not true about logistic regression is that logistic regression assumes a symmetric probability distribution of Y. Option C is the correct answer.

Logistic regression assumes a binary or binomial distribution for the response variable Y, representing two possible outcomes (e.g., 0 or 1). It models the relationship between predictor variables and the probability of a specific outcome using a logistic function. Logistic regression can handle predictor variables that are continuous, categorical, or a combination of both.

It is commonly used for classification tasks, where the goal is to predict the probability or class membership of an observation. The coefficients in logistic regression can have any value, including negative values, and they contribute to the log-odds ratio, which is then transformed into probabilities using the logistic function.

Learn more about logistic regression at

https://brainly.com/question/32505018

#SPJ4

Answer:  

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

Answer:

8

Step-by-step explanation:

d.0.003 choice correctly shows 0.3% as a decimal.

Here, we have,

given that,

the percent is: 0.3%

now, we know that,

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.

now, we get,

0.3%

=0.3 ÷ 100

=0.003

now, we know, 0.003 is a decimal.

so, we get,

d.0.003 choice correctly shows 0.3% as a decimal.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ4

Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

Answer: 9.70$

Step-by-step explanation: The equation is 53.89 * 0.18 = 9.7002 but, If you round to the nearest hundred it is 9.70$. Hope this helped!!!

The amount of tip waitress get from the Lawrence family is $63.5902.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The total amount of dinner was $53.89.

Tip= 18%

So, the tip amount will be

= 53.89 x 18/100

= 53.89 x 0.18

= 9.7002

And, the total amount to pay

= 53.89+ 9.7002

= $63.5902

Hence, the amount of tip waitress get is $63.5902.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ2

We can see here that option A. Reliability; valid; reliable completes the sentence.

A researcher is an individual who engages in the systematic investigation and study of a particular subject or topic to expand knowledge, gain insights, and contribute to the existing body of information in that field. Researchers can be found in various disciplines, such as science, social sciences, humanities, technology, and more.

Thus, it will be:

They decided to use "Depression Index of Diagnosis" because it has a higher reliability than the other and only when it is valid it can be reliable.

Learn more about research on https://brainly.com/question/968894

#SPJ4

A) The DEQ x² + y² + 7xyy' = 0 is not homogeneous.

B) The DEQ x² + y² + 5xy' = 0 is homogeneous.

C) The DEQ x - y - 8xy' = 0 is not homogeneous.

D) The DEQ 2x + y = yy' is not homogeneous.

To determine if each of the given differential equations (DEQs) is homogeneous, we need to check if they satisfy the property of homogeneity, which states that all terms in the equation must have the same total degree.

A) The DEQ x² + y² + 7xyy' = 0:

The term x² has a degree of 2.

The term y² has a degree of 2.

The term 7xyy' has a degree of 2 + 1 + 1 = 4.

DEQ A is not homogeneous.

B) The DEQ x² + y² + 5xy' = 0:

The term x² has a degree of 2.

The term y² has a degree of 2.

The term 5xy' has a degree of 1 + 1 = 2.

DEQ B is homogeneous.

C) The DEQ x - y - 8xy' = 0:

The term x has a degree of 1.

The term -y has a degree of 1.

The term -8xy' has a degree of 1 + 1 = 2.

DEQ C is not homogeneous.

D) The DEQ 2x + y = yy':

The term 2x has a degree of 1.

The term y has a degree of 1.

The term yy' has a degree of 1 + 1 = 2.

DEQ D is not homogeneous.

Learn more about homogenous functions at

https://brainly.com/question/31990879

#SPJ4

Answer : The required sample size is approximately 26 for each type of thread so that the power of the test is 0.95 when the true difference between thread types A and B is 8 kilograms.

Explanation :

Let's assume µ₁ to be the average tensile strength of thread A and µ₂ to be the average tensile strength of thread B. To test the claim that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. That is,µ₁ - µ₂ ≥ 12                                                                                                                                               The null hypothesis H₀ is: µ₁ - µ₂ ≤ 12 and, the alternative hypothesis H₁ is: µ₁ - µ₂ > 12. The sample sizes for the two types of thread are n₁ = n₂ = 50. Given that thread A has an average tensile strength of 56.7 kilograms with a standard deviation of 6.28 kilograms, while thread B has an average tensile strength of 77.8 kilograms with a standard deviation of 5.61 kilograms.                                                                                                                                                                         To determine the sample size required to achieve a power of 0.95 when the true difference between thread types A and B is 8 kilograms, we use the formula for the power of the test as follows:                                                               Power = P (Z > z₁-α - (zβ/√n))P (Z > z₁-α - (zβ/√n)) = 0.95.                                                                                                                      When the true difference between thread types A and B is 8 kilograms, that is,µ₁ - µ₂ = 8.                                                            The population variance of the two groups areσ₁² = 6.28² = 39.54σ₂² = 5.61² = 31.63                                                                      The pooled variance is given by:S² = [(n₁ - 1)S₁² + (n₂ - 1)S₂²] / (n₁ + n₂ - 2) = [(49)(39.54) + (49)(31.63)] / (50 + 50 - 2) = 70.585 n = (z₁-α + zβ)² * S² / δ²  Where z₁-α = critical value at α level of significance = 1.65 for a one-tailed test at α = 0.05.zβ = critical value at β level of significance = 1.65 + 0.84 = 2.49 for 0.95 power of the test.δ = µ₁ - µ₂ = 8  Substituting the values, we get n = (1.65 + 2.49)² * 70.585 / 8²≈ 25.8

Hence, the required sample size is approximately 26 for each type of thread so that the power of the test is 0.95 when the true difference between thread types A and B is 8 kilograms.

Learn more about hypothesis here https://brainly.com/question/32708328

#SPJ11

a) To find the probability that the mouse weighs less than 332 grams is calculated using the z-score formula which is: z= (x-μ)/σ where, x=332μ=409σ=24z= (332−409)/24z=−3.21

Hence, P (x < 332) = P (z < -3.21)

The probability that the mouse weighs less than 332 grams is approximately equal to 0.0007. Therefore, the answer is 0.0007 (rounded to four decimal places).

b) To find the probability that the mouse weighs more than 480 grams is calculated using the z-score formula which is: z= (x-μ)/σwhere,x=480μ=409σ=24z= (480−409)/24z=2.96

Hence, P (x > 480) = P (z > 2.96)

The probability that the mouse weighs more than 480 grams is approximately equal to 0.0015. Therefore, the answer is 0.0015 (rounded to four decimal places).

c) To find the probability that the mouse weighs between 332 and 480 grams is calculated using the z-score formula which is: P (332 < x < 480) = P (-3.21 < z < 2.96)

Hence, the probability that the mouse weighs between 332 and 480 grams is approximately equal to 0.9980. Therefore, the answer is 0.9980 (rounded to four decimal places).

d) The probability of a randomly chosen mouse weighing less than 332 grams is found to be P (x < 332) = 0.0007 which is less than 5%. Therefore, it is unlikely that a randomly chosen mouse would weigh less than 332 grams. Hence, the answer is "Yes, the likelihood is less than 5%".

e) To find the cutoff for the heaviest 6% of this type of mouse can be done by using the Z-table, that gives the z-score for any given probability. For the heaviest 6%, we need to find the z-score corresponding to a probability of 0.94 (100% - 6%). Hence, the Z-score for 0.94 probability is 1.55. Cutoff weight = μ + Z-score * σ= 409 + 1.55 * 24 = 447.2 ≈ 447 (rounded to the nearest whole gram). Therefore, the answer is 447 (rounded to the nearest whole gram).

To know more about probability refer to:

https://brainly.com/question/29660226

#SPJ11

Answer: 55

Step-by-step explanation:90-31= 59

59-4=55

Answer:  i am not sure but thanks for the points have a good day

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!

The area of a parallelogram is base x height, or A = bh.

a) A = 6 x 10, so A = 60 cm²

b) A = 15 x 8, so A = 120 cm²

Answer:

12.61 miles

Step-by-step explanation:

The distance of lighthouse B from lighthouse A, the distance from lighthouse A to the boat and the distance of lighthouse B from the boat all form a triangle. Since lighthouse B is west of lighthouse A, and at a distance of 9 miles form lighthouse A, light house A is at a bearing of North 90° East of lighthouse B. The distance from lighthouse A to the boat is 6 miles, and the bearing of the boat from lighthouse B is North 64° East.

So, the angle between the distance from lighthouse B to the boat and lighthouse B to lighthouse A is 90° - 64° = 26°

Since we have two sides and an angle, we use the sine rule

a/sinA = b/sinB where a = 6, A = 26°, b = 9, B = unknown

So, sinB = bsinA/a

= 9sin26/6

= 3(0.4384)/2

= 1.3151/2

= 0.6576

B = sin⁻¹(0.6576)

= 41.11°

≅ 41.1°

We now find the third angle in the triangle, C(the angle facing the distance from lighthouse B to the boat) from

26° + 41.1° + C = 180° (sum of angles in a triangle)

67.1° + C = 180°

C = 180° - 67.1° = 112.9°

Using the sine rule again to find the third side, c(the distance from lighthouse B to the boat), we have

a/sinA = c/sinC

c = asinC/sinA

= 6sin112.9°/sin26°

= 6(0.9212)/0.4384

= 5.5271/0.4384

= 12.61 miles

Answer:

19/99

Step-by-step explanation:

The amount paid on September 19 that is equivalent to $1,900 paid on December 1, with an interest rate of 5.9% compounded daily, is approximately $1,930.53.

To determine the amount paid on September 19 that is equivalent to $1,900 paid on December 1, we can use the concept of compound interest.

The formula to calculate compound interest is:

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

Where:

A = final amount

P = principal amount (initial payment)

r = annual interest rate (in decimal form)

n = number of times interest is compounded per year

t = time in years

In this case, we need to find the equivalent amount on September 19. The time between September 19 and December 1 is approximately 74 days.

Using the formula, we can calculate the equivalent amount as follows:

A = 1900(1 + 0.059/365)^(365/74)

Calculating this expression will give us the equivalent amount on September 19. Let me calculate that for you.

Learn more about amount paid

brainly.com/question/5052918

#SPJ11

Answer:2.8333

Step-by-step explanation:

Answer:

Area of rectangle =

[tex]l \times b[/tex]

= 5x *( 5x -4)

=

[tex] {25x}^{2} - 20x[/tex]

Perimeter of rectangle = 2(l + b)

=2(5x +5x -4)

= 2(10x - 4)

= 20x - 8

Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

Jesus loves ya, have a great day!

---------------------

John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."

Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

Answer:

62.8319 mi²

Step-by-step explanation:

The volume formula here is V = (area of base)(height),

If we fill in the given measurements, we get:

V = π(2 mi)²(5 mi) = 62.8319 mi²

Answer:

303.2 cubic inches

Step-by-step explanation:

20.6in × 3.8in ×2.9in + 3.7in × 7.1in × 2.9in

= answer

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

Option (C) 198 cm² will be the answer.

Step-by-step explanation:

Surface area of rectangular prism=2(lb+bh+lh)

where l=length, b=breadth and h=height.

Here, the length is 9cm, breadth is 6cm and height is 3cm.

By applying the formula,

2{(9*6)+(6*3)+(9*3)}

2{54+18+27}

2*99

198cm²

Answer:

A. the first one is true because when x = 5, 4x - 1 equals 19. The second inequality doesn't allow for it to equal 19.

B. 9 is the value that makes the equation true. See below for work to show.

Step-by-step explanation:

4x -1 </= 19 is true because it's "less than or equal to" and when you change the x to 5, the answer is exactly 19.  4(5) - 1 = 19. The other sentence is "4x - 1 is less than 19", and that means it can't equal 19 for that sentence to be true.

Math + words = confusion sometimes. Does that make sense?

------------------------------------

Now let's solve

5x + 2 = 47

Subtract 2 from both sides

5x = 45

divide both sides by 5

x = 9

Please lmk if you have questions.

Answer:

+3

Step-by-step explanation:

(+6) ÷ (+2)

=6/2

Divide the numbers; 6/2=3

=3

Hope this helped!!!