Given A(-1,4), B(2,-5), and C(3, 4), which coordinate pair will make AB perpendicular to CD ?

Answer:

Well what can i help you with?

Step-by-step explanation:

The probability of a 6-card hand with three hearts and three spades is 0.001862, or 1/535

Probability is the mathematics of chance; it is the study of calculating the likelihood of certain outcomes in any given situation.

Here we have to find the probability of a particular 6-card hand consisting of three hearts and three spades is determined first by the fact that there are 13 hearts and 13 spades in a standard deck of 52 cards.

To calculate the probability of a 6-card hand consisting of three hearts and three spades, one must first consider that the order of the cards in a hand does not matter.

The total number of combinations of three hearts and three spades that can be drawn from a standard deck of cards is

=> 4,824.

This number can be calculated by an equation that uses the number of hearts, spades, and cards in a standard deck

=> (13 x 13 x 52).

Then the probability of a 6-card hand consisting of three hearts and three spades is calculated by dividing the number of combinations of three hearts and three spades

=>  (4,824) / (2,598,960).

This equation yields a probability of 0.001862, or a 1 in 535 chance of getting a 6-card hand with three hearts and three spades.

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

the answer is 8.9

Step-by-step explanation:

A type II error in this context would be when the inspector incorrectly fails to reject the null hypothesis (H0), meaning they accept the null hypothesis that the humidity level absorbed is 3% when it is actually more than 3%.

A hypothesis test is a statistical procedure used to evaluate a hypothesis by using sample data. Brainly experts can use hypothesis tests to verify the accuracy of their answers by collecting sample data, analyzing it and making a conclusion. Hypothesis testing involves formulating a null and alternate hypothesis, generating a test statistic, and using the test statistic to make a decision. Brainly experts can use hypothesis testing to check the validity of their answers and to ensure that they are providing accurate information to their users.

This type of error would result in potentially hazardous components being approved for use and could lead to catastrophic accidents. In other words, if the inspector fails to reject H0 when it is false, it could lead to unsafe components being used and put the health and safety of people in danger.

To know more about hypothesis test click-
https://brainly.com/question/25263462
#SPJ4

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

Know more about atoms here:

https://brainly.com/question/6258301

#SPJ4

The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answer:

y= -2/3x + 1

Step-by-step explanation:

The Taylor series for f(x)=sin(x) at x=π/2 is ∑n=0[infinity]cn(x-π/2)n, where cn=(-1)n/(n!) if n is even and cn=0 if n is odd.

So, c0=0, c1=(-1)1/(1!)= -1, c2=0, c3=1/(3!)=1/6, c4=0.
Therefore, the first five coefficients are c0=0, c1=-1, c2=0, c3=1/6, c4=0.
Note that the odd coefficients are all 0, which is because the function f(x)=sin(x) is an odd function and its derivatives evaluated at π/2 are all 0. The Taylor series for a function f(x) is given by ∑n=0∞(f^(n)(a)(x-a)^n)/n!, where f^(n)(a) is the nth derivative of f(x) evaluated at x=a. In this case, f(x) = sin(x) and a = π/2.
To find the first five coefficients, we need the first five derivatives evaluated at x = π/2:
f(x) = sin(x)
f'(x) = cos(x)
f''(x) = -sin(x)
f'''(x) = -cos(x)
f^(4)(x) = sin(x)
Now, evaluate them at x = π/2:
f(π/2) = 1
f'(π/2) = 0
f''(π/2) = -1
f'''(π/2) = 0
f^(4)(π/2) = 1
Finally, apply the Taylor series formula:
c0 = f(π/2)/0! = 1
c1 = f'(π/2)/1! = 0
c2 = f''(π/2)/2! = -1/2
c3 = f'''(π/2)/3! = 0
c4 = f^(4)(π/2)/4! = 1/24

To know more about series visit:

https://brainly.com/question/12707471

#SPJ11

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

Answer:

50%

Step-by-step explanation:

7 nurses

3 doctors

4 offices

14 in total

7/14 or 50% is the probability

Answer:

0.50

Step-by-step explanation:

\(7 + 3 + 4 = 14\)

So, the probability that the nurses are selected to attend the conference is,

\( \frac{7}{14} = \frac{1}{2} \)

\( \frac{1}{2} = 0.50\)

The value will be \(\frac{3a}{8}\)

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

In the following question it is asked to perform three of these operations.

Subtraction, Multiplication, Division are to be performed here.

Difference of \(9\) and \(6\) is \(9-6=3\).

\(a\) times the difference of  \(9\) and \(6\) is \(3a\)

Product of \(3\) and \(4\) is \(12\).

\(a\) times the difference of  \(9\) and \(6\) divided by the Product of \(3\) and \(4\) is \(\frac{3a}{12}\)Since \(3\) is a common factor for both \(3,12\) it gets cancelled out.

So now we can write \(\frac{3a}{12} =\frac{a}{4}\).

Therefore the final answer is \(\frac{a}{4}\).

To learn more about arithmetic operations click on the below link

https://brainly.com/question/13181427

#SPJ1

Answer:  b

Step-by-step explanation:

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

As per the unitary method, Yves bought 60 angelfish and 360 parrotfish for the museum display.

Let's start by assigning variables to the unknown quantities. Let's assume the number of angelfish Yves bought is 'x,' and the number of parrotfish he bought is 'y.' We are given two pieces of information: the total number of tropical fish Yves bought (420) and the fact that he bought 6 times as many parrotfish as angelfish.

Total number of tropical fish:

We know that Yves bought a total of 420 tropical fish. So, we can write the equation:

x + y = 420

Parrotfish to angelfish ratio:

The problem states that Yves bought 6 times as many parrotfish as angelfish. This can be expressed as:

y = 6x

Now, we have a system of two equations with two variables. We can solve this system using the unitary method.

Step 1: Solve the second equation for y:

y = 6x

Step 2: Substitute the value of y in the first equation:

x + 6x = 420

Simplifying the equation:

7x = 420

Step 3: Solve for x:

x = 420/7

x = 60

Step 4: Substitute the value of x back into the second equation to find y:

y = 6x

y = 6 * 60

y = 360

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

Answer:

11/16

I hope this helps ^^

I think it's a

Step-by-step explanation:

associative property means you can change what ever is in the ()

Answer:

Step-by-step explanation:

On that day, approximately 77.5% of the carpenters were at work.

To calculate the percentage of carpenters at work on a given day, we can use the following formula:

Percentage = (Number at Work / Total Number) * 100

Given:

Total number of carpenters = 40

Number of carpenters at work = 31

Using the formula:

Percentage = (31 / 40) * 100

Calculating the percentage:

Percentage = 0.775 * 100

Percentage = 77.5%

Therefore, on that day, approximately 77.5% of the carpenters were at work.

for such more question on percentage

https://brainly.com/question/24877689

#SPJ11

Answer:

About 5.6 cm

Step-by-step explanation:

The formula for the radius of a circle (based on the area) is \(\sqrt{\frac{A}{\pi } }\), where \(A\) is the area of the circle?

The equation of a line that is perpendicular to the line y = 34x + 5 and passes through the point (0, 3) is y = -34x + 3

The slope-intercept form of the equation of a line is y = mx + c, where

The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. In this case, the original line has a slope of 34, so the slope of the line that is perpendicular to it is -1/34.

To find the y-intercept of the line, we can use the point (0,3) that the line passes through. Substituting the x and y values of this point into the equation of the line, we get 3 = -34(0) + c, which simplifies to c = 3.

So the equation of the line that is perpendicular to y = 34x + 5 and passes through (0, 3) is y = -1/34x + 3

Learn more about equation Straight lines here:

https://brainly.com/question/20898425

#SPJ4

The two values are 75M(b-a) and 75m(b-a) which is the correct answer and given, the function f has an absolute minimum value m and absolute maximum value M, we need to find between what two values must 75f(x)dx lie.

To solve this, we use the properties of integrals.

Let, m be the minimum value of f(x) and M be the maximum value of f(x).

Then the absolute maximum value of 75f(x) is 75M and the absolute minimum value is 75m.

Now, we know that the definite integral of f(x) is given by F(b) - F(a) where F(x) is the anti-derivative of f(x).We can apply the integral formula on 75f(x) also, so 75f(x)dx=75F(x)+C. Here C is the constant of integration.

Now, we integrate both sides of the equation:

∫75f(x)dx = ∫75M dx + C  ( integrating with limits a and b )

∫75f(x)dx = 75M(x-a) + C

Then we apply the limit values of x.

∫75f(x)dx lies between 75M(b-a) and 75m(b-a).

So, the two values are 75M(b-a) and 75m(b-a) which is the answer.

Hence, the required answer is 75M(b-a) and 75m(b-a).

To know more about absolute visit:

https://brainly.com/question/4691050

#SPJ11

Answer:

2

Step-by-step explanation:

5-y + x  (y=8) (x=5)

5 - 8 + 5

=2

Answer:

2

Step-by-step explanation:

I just subbed  the y and x in then got the answer 2

To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

To learn more about  click here: brainly.com/question/12211820

#SPJ11

Answer:

slope: -9  y-intercept: -6

Step-by-step explanation:

the equation y = mx + b is the equation to find the slope and y intercept where m is the slope and b is the y intercept so change your equation to get y on one side so you would subtract 9x from both sides so it would then be y = -9x -6 where -9 is the slope and -6 is the y intercept

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

1. Place the graduated pipet on a flat surface and make sure it is level

2. Draw the liquid up until the meniscus is level with the etched line that corresponds to the desired volume

3. Make sure the liquid is not touching the etched line above it

4. Observe the bottom of the meniscus and take the reading at the point where the liquid level is between the two etched lines

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

Using a significance level of 5%, we conclude that there is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often. So, the correct answer is D).

Using a significance level of 5%, the chi-square test statistic is 33.3815 with 2 degrees of freedom and a corresponding p-value of less than 0.0001.

Since the p-value is less than 0.05, we reject the null hypothesis of equal preference for beer, wine, and liquor and conclude that there is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often.

Therefore, the answer is (d) There is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often.

To know more about chi-square test:

https://brainly.com/question/14082240

#SPJ4

--The given question is incomplete, the complete question is given

"  Gallup asked a nationally representative sample of adults about their alcohol consumption. Those in the sample who drank alcohol were asked which they drank most often-beer, wine, or liquor. Do the data provide evidence of an equal preference for beer, wine, and liquor as the favored alcoholic drink of American adults who drink alcohol? Here is an incomplete Minitab output for the corresponding chi-square test: Test Contribution Category Observed Proportion Expected to Chi-Sq beer 264 0.333333 216.667 10.3405 wine 237 0.333333 216.667 1.9082 liquor 149 0.333333 216.667 21.1328 N DF Chi-Sq P-Value 650 Using a significance level of 5%, what should you conclude?

a. There are significantly more American adult drinkers who favor beer over wine or liquor.

b. The data are consistent with an equal distribution of beer, wine, and liquor as the alcoholic drink consumed most often by American adults who drink alcohol.

c. We are unable to conclude anything, because the test assumptions are not met.

d. There is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often."--

The marginal cost at production level x = 6500 is approximately $487.50. The actual cost of producing one additional camera is $487.55. The average cost per camera at x = 6500 is approximately $485.84.

To find the marginal cost, we need to calculate the derivative of the cost function C(x) with respect to x:

C'(x) = 500 - 0.006x + 3x10^-8

Substituting x = 6500, we get C'(6500) = 487.5. Therefore, the marginal cost at production level x = 6500 is approximately $487.50.

To find the actual cost of producing one additional camera, we need to calculate the difference between the cost of producing 6501 cameras and 6500 cameras:

C(6501) - C(6500) = [500(6501) - 0.003(6501)^2 + 10^-8(6501)^3] - [500(6500) - 0.003(6500)^2 + 10^-8(6500)^3]

= $487.55

Therefore, the actual cost of producing one additional camera is $487.55.

To find the average cost per camera at x = 6500, we need to divide the total cost of producing 6500 cameras by 6500:

C(6500)/6500 = [500(6500) - 0.003(6500)^2 + 10^-8(6500)^3]/6500

≈ $485.84

Therefore, the average cost per camera at x = 6500 is approximately $485.84.

For more questions like Costs click the link below:

https://brainly.com/question/31041508

#SPJ11

Answer:

No solutions

Step-by-step explanation:

- 3x - y = 10 ⇒ ( 1 )

3x + y = - 8 ⇒ ( 2 )

( 1 ) + ( 2 )

-3x - y + 3x + y = 10 - 8

Combine like terms.

0 ≠ 2

NO solutions