What is an equation of the line that is parallel to y=3x-8 and passes through the point (4, -5)

Answer:

a. B1 is better than B2.

Step-by-step explanation:

Hyperplane is a geometric shape which has subspace whose dimension is one less than ambient space. Hyperplane that maximizes the margin it will have better generalization. Margin is calculated by [tex]\frac{2}{||W||}[/tex]. The correct option is a.

Answer:

A

Step-by-step explanation:

Answer:

the difference between the estimator and the population parameter grows smaller as the sample size grows larger.

Step-by-step explanation:

In Statistics, an estimator is a statistical value or quantity, which is used to estimate a parameter.

Generally, parameters are the determinants of the probability distribution. Thus, to determine a normal distribution we would use the parameters, mean and variance of the population.

An estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, for an estimator to be consistent it must have both a small bias and small variance.

Also, note that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[\tex]

Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).

A sample variance is an unbiased estimator of the population variance while the sample mean is an unbiased estimator of the population mean.

Generally, a consistent estimator in statistics is one which gives values that are close enough to the exact value in a population.

Answer:

123 domestic stamps

89 foreign stamps

Step-by-step explanation:

Answer:

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

Which equation represents the total number of stamps Malik collected?  

✔ x + y = 212

Which equation represents the difference in the number of foreign and domestic stamps Malik collected?  

✔ x – y = 34

Which system of linear equations represents the situation?  

✔ x – y = 34 and x + y = 212

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

x – y = 34

x + y = 212

Solve the system of equations.  

How many foreign stamps does Malik have?

✔ 89  foreign stamps

How many domestic stamps does Malik have?

✔ 123 domestic stamps

Step-by-step explanation:

its right on 2021 edge! :) hope this helps

Answer:

$0.80

Step-by-step explanation:

If price level rises to 1.25 from 1 then:

Value of dollar = 1/1.25 = $0.80

Answer:

-1 3/4 =x

Step-by-step explanation:

-3 1/2= 1/2x+1/2x+x

Combine like terms

-3 1/2 = 2x

Change to an improper fraction

- ( 2*3+1)/2 = 2x

-7/2  = 2x

Multiply each side by 1/2

-7/2 *1/2 = 2x* 1/2

-7/4 = x

Changing to a mixed number

-4/4 -3/4 =x

-1 3/4 =x

Answer:

25

Step-by-step explanation:

150/6

The Unit rate of calories per ounce will be 25 calories per ounce.

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.

Weight of the Greek yogurt container = 6 ounce

Calories per container = 150 calories

The Unit rate of calories per ounce = 150 / 6 = 25

Therefore, the unit rate of calories per ounce will be 25 calories per ounce.

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Answer:

The expected value of the game is $0.33.

Step-by-step explanation:

There are N = 36 outcomes of rolling two 6-sided fair dice.

The sample for the sum of two numbers to be 7 is:

S = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)}

n (S) = 6

It is provided that there is a 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice.

That is, you win $7 if you succeed and you lose $1 if you fail.

Compute the expected value of the game as follows:

[tex]E(X)=\sum x\cdot P (X=x)[/tex]

         [tex]=[\$(7)\times \frac{6}{36}]+[\$(-1)\times \frac{30}{36}]\\\\=\frac{7}{6}-\frac{5}{6}\\\\=\frac{7-5}{6}\\\\=\frac{1}{3}\\\\=\$0.33[/tex]

Thus, the expected value of the game is $0.33.

Answer:

I got x=3,-3

Step-by-step explanation:

Squares are the results of multiplying a value by itself. The value of x in the given equation 2x² - 5 = 13 is -3 and 3.

Squares are the results of multiplying a value by itself. Whereas the square root of a number is a value that when multiplied by itself yields the original value. As a result, both are vice versa approaches. For example, the square of 2 is 4 and the square root of 4 is 2.

The value of x for the given equation 2x²-5=13, can be solved as shown below.

2x² - 5 = 13

Add 5 on both the sides of the equation,

2x² - 5 + 5 = 13 + 5

2x² = 18

Divide both the sides of the equation by 2,

2x² / 2 = 18 / 2

x² = 9

Taking the square root on both the sides of the equation,

√x² = √9

x = ±3

x = -3, 3

Hence, the value of x in the given equation 2x² - 5 = 13 is -3 and 3.

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Answer:

l = 44 ft

w = 20 ft

Step-by-step explanation:

Perimeter is

P = 2 ( l+w)

The width is

w = l -24

We know the perimeter is 128 and substituting into the equation for perimeter

128 = 2 ( l + l-24)

128 = 2 ( 2l -24)

Divide by 2

128/2 = 2/2 ( 2l-24)

64 = 2l - 24

Add 24 t o each sdie

64+24 = 2l

88 = 2l

Divide by 2

44 =l

The length is 44

Now find w

w = l - 24

w = 44-24

w = 20

Answer:

[tex]\boxed{l=44 \: \mathrm{feet}, \: \: w=20 \: \mathrm{feet}}[/tex]

Step-by-step explanation:

The width (w) = l - 24

The length (l) = l

The perimeter (P) = 128

The shape is a rectangle. Use the formula for the perimeter of a rectangle.

P = 2w + 2l

Plug in the values.

128 = 2(l - 24) + 2l

Solve for l.

Expand brackets.

128 = 2l - 48 + 2l

Combine like terms

128 = 4l - 48

Add 48 on both sides.

176 = 4l

Divide both sides by 4.

44 = l

Apply formula again.

P = 2l + 2w

Solve for w.

Subtract 2w and P on both sides.

-2w = 2l - P

Divide both sides by -2.

w = -l + P/2

Plug in the values for l and P, solve for w.

w = -(44) + 128/2

w = -44 + 64

w = 20

The length is 44 feet.

The width is 20 feet.

Answer:

B. CSCX=  sinx  / 1

D. tanx= sin x  / COS x

Step-by-step explanation:

A. sec x=  1/cos(x)

CSC X  / 1 = sin(x)

B. CSCX

sinx  / 1  = csc(x)

C. tanx=   sin(x) / cos(x)

secx  = 1 / cos(x)

D. tanx=  sin(x) / cos (x)

sin (x)  / cos(x)

The correct option is (D). tanx = sinx/cosx

Option (D). is correct.

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant. Can be used for practical applications.

As per the given data:

We are given some trigonometric identities, and we have to find out which of the given identities in the options are correct.

(A). secx = cscx/1

This is incorrect, as secx = 1/cosx

(B). cscx = sinx/1

This is incorrect, as cscx = 1/sinx

(C). tanx= secx

This is incorrect, as tanx = sinx.secx

(D). tanx = sinx/cosx

This is correct as, tanx = sinx/cosx

The correct option is (D). tanx = sinx/cosx

Hence, The correct option is (D). tanx = sinx/cosx

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Answer:

A

Step-by-step explanation:

the graph of x'3 is B

the graph of x'(-1/3) is C

Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

give me brainliest please

Answer: x= 4.25 y= 12.75

Step-by-step explanation:

Answer:

8w : 3.8974342 ≈ 3.9 or 4 (hope it help)

Step-by-step explanation:

1w : 2

2w : 2 + 10% = 2.2

3w : 2.2 + 10% = 2.42

4w : 2.42 + 10% = 2.662

5w : 2.662 + 10% = 2.9282

6w : 2.9282 + 10% = 3.22102

7w : 3.22102 + 10% = 3.543122

8w : 3.543122 + 10% = 3.8974342

3.8974342 ≈ 3.9 or 4

Answer:

4, 5 and 6

Step-by-step explanation:

Consecutive means right next to each other.

4 x 5 x 6 = 120 cubic inches.

4 X 5 = 20

20 X 6 = 120

The values of the consecutive numbers will be 4, 5, and 6.

Let the numbers be represented by a, a+1, and a+2.

Therefore, a(a+1)(a+2) = 120

a³ + 3a² + 2a = 120

a = 4

Therefore, a + 1 = 4+1 = 5

a + 2 = 4 + 2 = 6

Therefore, the values will be 4, 5, and 6.

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Answer: 0.06x

Step-by-step explanation:

The given statement:  A number is 30% of 20% of the number x.

The required algebraic expression would be:

30% of 20% of x

[tex]=\dfrac{30}{100}\times \dfrac{20}{100}\times x[/tex]  [we divide a percentage by 100 to convert it into decimal]

[tex]=\dfrac{6}{100}\times x\\\\=0.06x[/tex]

Hence, the required algebraic expression would be :

0.06x

Answer:

810.66 ft²

Step-by-step explanation:

Short answer:

Shaded region:

Answer: 810.66 ft²

I agree.

Answer:

(16x + 21) and (16x - 6)

Step-by-step explanation:

f(g(x)) = f(6 + 4x)

Applying the f(x) function on (6 + 4x) gives

4(6 + 4x) - 3

Which equals 16x + 24 - 3

= 16x + 21

g(f(x)) = g(4x - 3)

Applying the g(x) function on (4x - 3) gives

6 + 4(4x - 3)

Which equals 6 + 16x - 12

= 16x - 6

Answer:

(g∘f)(x)=48x2+48x+10

(g∘f)(x)=12x^2-6

Step-by-step explanation:

To find (f∘g)(x), use the definition of (f∘g)(x),

(f∘g)(x)=f(g(x))

Substituting 3x2−2 for g(x) gives

(f∘g)(x)=f(3x2−2)

Find f(3x2−2), where f(x)=4x+2, and simplify to get

(f∘g)(x)(f∘g)(x)(f∘g)(x)=4(3x2−2)+2=12x2−8+2=12x2−6

To find (g∘f)(x), use the definition of (g∘f)(x),

(g∘f)(x)=g(f(x))

Substituting 4x+2 for f(x) gives

(g∘f)(x)=g(4x+2)

Find g(4x+2), where g(x)=3x2−2, and simplify to get

(g∘f)(x)=3(4x+2)^2−2

(g∘f)(x)=48x2+48x+12−2

(g∘f)(x)=48x2+48x+10

Answer:

Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

95/8=11.875

so he has around about 11-12 friends

Answer:

the answer is 29.  i placed down 3 dots until i hit 95, counted 8 dots, and started group the 3 dots i put together, so i made sure i didnt count the eight ( pieces of gum) and i started counting the groups of three and i got 29. there was 29 groups of three.

Step-by-step explanation:

Answer:

[tex]C.\ 200[/tex]

Step-by-step explanation:

Given

Let R represents rows and C represents Columns

When R = 8, C = 25

When R = 10, C = 20

Required

Given that there exist an inverse variation, determine the constant of proportionality;

We start by representing the variation;

[tex]R\ \alpha \ \frac{1}{C}[/tex]

Convert proportion to an equation

[tex]R\ = \ \frac{k}{C}[/tex]

Where k is the constant of proportion;

[tex]R * C\ = \ \frac{k}{C} * C[/tex]

Multiply both sides by C

[tex]R * C\ = k[/tex]

Reorder

[tex]k = R * C[/tex]

When R = 8, C = 25;

The equation  [tex]k = R * C[/tex] becomes

[tex]k = 8 * 25[/tex]

[tex]k = 200[/tex]

When R = 10, C = 20;

The equation  [tex]k = R * C[/tex] becomes

[tex]k = 10 * 20[/tex]

[tex]k = 200[/tex]

Hence, the concept of proportionality is 200

Answer:

[tex]\boxed{\sf Option \ E}[/tex]

Step-by-step explanation:

(1) 3.25 kg

(2) 1 kg = 1000 g

(3) 1000 mg = 1g

= (4) 3.25 mg

The first problem occurred in column (4) where we actually had to multiply it by 1000 but we divided it by 1000 and so our conversion was incorrect.

The correct form of it is:

1) 3.25 kg

2) 1 kg = 1000 g ; 3.25 kg = 3250 g

3) 1 g = 1000 mg ; 3250 * 1000 = 3,250,000 mg

4) Answer = 3,250,000 mg

Answer:

[tex]\boxed{\sf Option \ E}[/tex]

Step-by-step explanation:

1 kg = 1000 g

1000 mg = 1g

3.25 kilograms is to be multiplied by 1000 to get the value in grams. Then the result should be multiplied again by 1000 to get the value in milligrams.

3.25 kg ⇒ 3250 g ⇒ 3250000 mg

The first problem occurs in column (4). The multiplication and division was performed incorrectly.

Answer: In so many ways ;

And so on .

720

you would be using permutation i believe

because carpet has 6 letters you have six placement options

_x_x_x_x_x_

if you can only use the letters once

you can put all letters in p1

so 6x_x_x_x_x_

but because of that you would only be able to put all but one in p2 and one less than p2 in p3 going all the way to 1 in the last

so 6x5x4x3x2x1

i might be wrong but this has worked for me

The probability of landing on Seoul or Paris after spinning spinner is 1/2 .

Probability is the measure of likeliness of an event to happen.

It is given that

Total Outcomes = 4  ( Dubai, Seoul, Switzerland, and Paris)

the probability of landing on Seoul or Paris after spinning spinner = ?

The probability of Landing on Seoul P(S)  is 1 /4

The probability of Landing on Paris P(P)  is 1 /4

The probability of landing on Seoul or Paris after spinning spinner is

P( S∪P) = P(S) + P(P)

= (1/4) + (1/4)

= 1/2

Therefore , The probability of landing on Seoul or Paris after spinning spinner is 1/2 .

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Answer:

y= -1/7x + 39/7

Step-by-step explanation:

Slope - intercept form is:

Given the line:

which can be shown as:

We need to write an equation for the line that it perpendicular to the given line and passes through the point (4,5)

As we know, perpendicular line has a slope opposite-reciprocal to the given, so the slope is:

and the form of the line is:

We can find b, by using the point (4, 5), which means x=4 and y=5:

And the equation for this line is:

Answer:

5 triangles from the vertex

Answer:

5 triangles from the vertex

Step-by-step explanation:

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

[tex]S \sim N ( 1200,60)[/tex]

the probability that the sample mean will be larger than 1224 will now be:

[tex]P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })[/tex]

[tex]P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })[/tex]

[tex]P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })[/tex]

[tex]P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })[/tex]

[tex]P(\overline X > 1224) = P(Z > 2.4 })[/tex]

[tex]P(\overline X > 1224) =1 - P(Z \leq 2.4 })[/tex]

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

Answer:

see explanation

Step-by-step explanation:

(1)

2x - 3 ≤ 3 ( add 3 to both sides )

2x ≤ 6 ( divide both sides by 2 )

x ≤ 3

(2)

2 - 3y > 16 ( subtract 2 from both sides )

- 3y > 16

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

y < - [tex]\frac{14}{3}[/tex]

When you solve this equation using the quadratic formula, you will get [tex]x = \frac{-20\pm \sqrt{400-4k^2}}{2k}[/tex]. The only way for this number to be irrational is for [tex]\sqrt{400-4k^2}[/tex] to be irrational. The square root of any number that is not a perfect square is irrational*, so the solutions of the quadratic are rational if and only if [tex]400-4k^2[/tex] is a perfect square. We can factor out the 4 (which is already a perfect square), which means that [tex]100-k^2[/tex] must be a perfect square. This occurs exactly when k is equal to one of the following:[tex]\sqrt{100},\sqrt{99},\sqrt{96},\sqrt{91},\sqrt{84},\sqrt{75},\sqrt{64},\sqrt{51},\sqrt{36},\sqrt{19}, \sqrt{0}[/tex].

Of these, the only positive integer values of k are: [tex]\sqrt{100}, \sqrt{64}, \sqrt{36}[/tex], or simply 6, 8, and 10.

* This is quite simple to show: Take any rational number, a/b. Without loss of generality, we can assume that a/b is in reduced form, that is, a and b have no common factors. (a/b)^2 is a^2/b^2, and since a and b have no common factors, neither do a^2 and b^2. Therefore, a^2/b^2 cannot be an integer. In the event that a/b is an integer, b would equal 1, and this proof would not hold.

Answer:

The second approximation to the root of the equation [tex]x^{3}+x+8 = 0[/tex] is -1.5000.

Step-by-step explanation:

The Newton's method is a numerical method by approximation that help find roots of a equation of the form [tex]f(x) = 0[/tex] with the help of the equation itself and its first derivative. The Newton's formula is:

[tex]x_{i+1} = x_{i} - \frac{f(x_{i})}{f'(x_{i})}[/tex]

Where:

[tex]x_{i}[/tex] - i-th approximation, dimensionless.

[tex]x_{i+1}[/tex] - (i+1)-th approximation, dimensionless.

[tex]f(x_{i})[/tex] - Function evaluated at the i-th approximation, dimensionless.

[tex]f'(x_{i})[/tex] - First derivative of the function evaluated at the i-th approximation, dimensionless.

The function and its first derivative are [tex]f(x) = x^{3}+x+8[/tex] and [tex]f'(x) = 3\cdot x^{2}+1[/tex], respectively. Now, the Newton's formula is expanded:

[tex]x_{i+1} = x_{i}-\frac{x_{i}^{3}+x_{i}+8}{3\cdot x_{i}^{2}+1}[/tex]

If [tex]x_{1} = -1[/tex], the value of [tex]x_{2}[/tex] is:

[tex]x_{2} = -1 - \frac{(-1)^{3}+(-1)+8}{3\cdot (-1)^{2}+1}[/tex]

[tex]x_{2} = -1.5000[/tex]

The second approximation to the root of the equation [tex]x^{3}+x+8 = 0[/tex] is -1.5000.

Answer:

-2.5000

Step-by-step explanation: