Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

See below

Step-by-step explanation:

The domain of the quadratic equation is going to be \(\mathbb{R}\) (all reals), since you can set x to be any real number and get a real value of y.

I can't see the graph, but the range of the quadratic is going to be y ≥ 4 (if the graph opens upwards) or y ≤ 4 (if the graph opens downwards).

Using the binomial distribution, it is found that there is a 0.9499 = 94.99% probability that a student guesses at least 2 answers  correctly.

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

For each question, there are only two possible outcomes, either the student guesses the correct answer or not. The probability of guessing the correct answer on a question is independent of any other question, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

\(P(X \geq 2) = 1 - P(X < 2)\)

In which

\(P(X < 2) = P(X = 0) + P(X = 1)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{17,0}.(0.25)^{0}.(0.75)^{17} = 0.0075\)

\(P(X = 1) = C_{17,1}.(0.25)^{1}.(0.75)^{16} = 0.0426\)

\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0075 + 0.0426 = 0.0501\)

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0501 = 0.9499\)

0.9499 = 94.99% probability that a student guesses at least 2 answers  correctly.

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The probability of x = 1 is 0.2,x = 2 is 0.3, x = 3 is 0.5

Let X be a random variable with the following probability mass function:

f(x) =

x = 1: 0.2

x = 2: 0.3

x = 3: 0.5

This is indeed a probability mass function because the values of f(x) are all greater than or equal to 0, and the sum of the values of f(x) is equal to

To calculate the probability of x = 1, we can use the formula for probability mass functions: P(X = x) = f(x).

Therefore, the probability of x = 1 is 0.2.

To calculate the probability of x = 2, we can use the same formula: P(X = x) = f(x).

Therefore, the probability of x = 2 is 0.3.

To calculate the probability of x = 3, we can use the same formula: P(X = x) = f(x).

Therefore, the probability of x = 3 is 0.5.

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complete question

What is the probability of x = 1, x = 2, and x = 3?

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

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

Simplifying:

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

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

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

Subtracting 2 from both sides:

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

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The ratio of rainy days to total days written as a percent will be 75%.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Ratio is used to compare two or more numbers. It is also used to indicate how big or small a quantity is when it is compared to another. It should be noted that in a ratio, two quantities are compared using division.

Since in the last 24 days, it rained 18 days.

Number of rainy days = 18.

Number of total days = 24

The ratio of rainy days to total days written as a percent will be:

= Number of rainy days / Total days × 100

= 18/24 × 100

= 3/4 × 100

= 75%

Therefore, the ratio is 3:4 which is 75%.

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Answer:

$160

Step-by-step explanation:

You can set up an equation that will work for any time period, but since it is only 4 months we can do this simply too:

10 x 2 = 20

20 x 2 = 40

40  x 2 = 80

80 x 2 = 160

$160

Answer: $160

Step-by-step explanation:

Anne opened a savings account and put in $10.00.

Double = 2 times the amount.

Since the balance doubles each month:

1 month: $20.00 (10 x 2)

2 month: $40.00 (20 x 2)

3 month: $80.00 (40 x 2)

4 month: $160.00 (80 x 2)

Step-by-step explanation:

im still working on the 2nd part

Answer:

a:b

3:7

Step-by-step explanation:

a:b  also means a/b

Taking the equation

7a = 3b

Dividing each side by b

7a/b = 3b/b

7 a/b = 3

Divide each side by 7

a/b = 3/7

The ratio is 3/7

a:b

3:7

Answer:

a:b = 3/7

Step-by-step explanation:

we need to find the ratio a:b which is the same as a/b.

7a=3b

Devide left and right of the = sign by b gives

7a/b = 3 * b/b

7a/b = 3 * 1

7a/b = 3

Multiply left and right of the = sign by 1/7 gives

1/7 * 7a/b = 1/7 * 3

7/7 * a/b = 3/7

1 * a/b = 3/7

a/b = 3/7

Since a/b is the same as a:b, we now have the answer.

a:b = 3/7

Answer:

original: -5, 1

Final: 2, 1

Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."

The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:

1 / 750 = 0.001333

This means that for every 750 Hispanic females, one is expected to have the disease.

To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:

0.001333 * 26,000 = 34.658

So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

C

.......................

Answer:

D) 136 sq. in.

Step-by-step explanation:

8x14=112

2x4x3=24

112+24=136

Answer:

In this question the y is 3.

Step-by-step explanation:

3 x 3 is 9.

9 + 1.8 = 10.8

Check the picture below.

The wall is 144 inches long that Lionel painted

Unit cοnversiοn is the prοcess οf cοnverting οne unit οf measurement tο anοther unit οf measurement that is equivalent tο the οriginal unit.

Given table:

Number οf feet's               Number οs inches

3                                         36

5                                         60

8                                         96

10                                       120

Tο cοnvert feet tο inches, we need tο multiply the number οf feet by 12 since there are 12 inches in οne fοοt.

Fοr 12 feet, we have:

12 feet = 12 x 12 inches = 144 inches

Hence, the answer is A. 144.

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Answer:

unfair,0.75,0.25

Step-by-step explanation:

multiply all the numbers and count how many are even then divide by 36 to get 0.75

And do the exact same for odd numbers and divide by 36(the total number) to get 0.25 therefore it is an unfair game.

1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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Answer:

Step-by-step explanation:

Given that:

a)

\(f(x,y) = e^{3x} + y^3 - 3ye^x \\ \\ \implies \dfrac{\partial f}{\partial x} = 0 = 3e^{3x} -3y e^x = 0 \\ \\ e^{2x}= y \\ \\ \\ \implies \dfrac{\partial f}{\partial y } = 0 = 3y^2 -3e^x = 0 \\ \\ y^2 = e^x\)

\(\text{Now; to determine the critical point:}\)- \(f_x = 0 ; \ \ \ \ \ f_y =0\)

\(\implies e^{2x} = y^4 = y \\ \\ \implies y = 0 \& y =1 \\ \\ since y \ne 0 , \ \ y = 1, \ \ x= 0\\\text{Hence, the only possible critical point= }(0,1)\)

b)

\(\delta = f_xx, s = f_{xy}, t = f_{yy} \\ \\ . \ \ \ \ \ \ \ \ D = rt-s^2 \\ \\ i) Suppose D >0 ,\ \ \ r> 0 \ \text{then f is minima} \\ \\ ii) Suppose \ D >0 ,\ \ \ r< 0 \ \text{then f is mixima} \\ \\ iii) \text{Suppose D} < 0 \text{, then f is a saddle point} \\ \\ iv) Suppose \ D = 0 \ \ No \ conclusion\)

\(Thus \ at (0,1) \\ \\ \delta = f_{xx} = ge^{3x}\implies \delta (0,1) = 6 \\ \\ S = f_{xy} = -3e^x \\ \\ \implies S_{(0,1)} = -3 \\ \\ t = f_{yy} = 6y \\ \\\)

\(\implies t_{0,1} = 6\)

\(Now; D = rt - s^2 \\ \\ = (6)(6) -(-3)^2\)

\(= 36 - 9 \\ \\ = 27 > 0 \\ \\ r>0\)

\(\text{Hence, the critical point} \ (0,1) \ \text{appears to be the local minima}\)

c)

\(\text{Suppose we chose x = 0 and y = -3.4} \\ \\ \text{Then, we have:} \\ \\ f(0,-3.4) = 1+ (-3.4)^3 + 3(3.4) \\ \\ = -28.104 < -1\)

\(\text{However, if f (0,1) = 1 +1 -3 = -1 \\ \\ f(0,-3.4) = -28.104} < -1} \\ \\ \text{This explains that} -1 \text{is not an absolute minimum value of f(x,y)}\)

The empty set (also known as the null set) is a subset of every set because it does not contain any elements that are not in the set. In other words, if A is any set, then every element of the empty set is also an element of A, since the empty set contains no elements. This satisfies the definition of a subset, which states that for any two sets A and B, A is a subset of B if every element of A is also an element of B. Therefore, the empty set is a subset of every set.

~~~Harsha~~~

Answer:

y= 9 x= -42

Step-by-step explanation:

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129

The approximate margin of error can be calculated using the relation :

Margin of Error = \( 1.96 \frac{2.88}{\sqrt{25}} \)

Margin of Error = \( 1.96 \frac{2.88}{5} \)

Margin of Error = \( 1.96 \times 0.576 \)

Margin of Error = \( 1.129 \)

Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.

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It equals a 9% decrease.

Answer:

9%

Step-by-step explanation:

We can do this problem by solving 91/100*100, which is 91, so 100-91=9