Convert the value from meters/second to kilometers/hour. One kilometer is equal to 1,000 meters, and 1 hour is equal to 3,600 seconds.

Write an example from daily life that uses rational numbers .

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After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

Answer: the answer would be $150

Step-by-step explanation:

Answer:$150.00

Step-by-step explanation:

If you think about a item going down by 70%, it means that you are paying only 30% of the total price.

100%-70%=30%

So 30% of $500 is what you are paying.

30%=30/100=0.3

So you multiply 0.3x500

Which is equal to 150

Answer:

The CD player's price decreased by 35%

a) The sample space for four flights selected at random, with arrival status "O" for on-time and "L" for late, is given as {OOOO, OOOL, OOLO, OOLL, OLOO,  OLOL, OLLO, OLLL, LOOO, LOOL, LLOO, LLOL, LLLO, LLLL}.

b) The probability that a randomly selected flight is from Airline A and on-time, denoted as P(A), is calculated by multiplying the probability of being on-time for Airline A (75/100) with the proportion of flights operated by Airline A out of the total (320/1000), resulting in P(A) = 24/100.

c) The probability that a randomly selected flight is either from Airline C or on-time, denoted as P(C), is obtained by dividing the sum of flights on-time (700) and flights operated by Airline C (240) by the total number of flights (1000), giving P(C) = 94/100.

d) The probability that a flight is from Airline B given that it is late, denoted as P(B | L), is computed by multiplying the proportion of late flights (300/1000) with the probability of being from Airline B (35/100), resulting in P(B | L) = 77/300.

e) The probability that a flight is late given that it is from Airline A, denoted as P(L | A), is calculated by multiplying the proportion of flights on-time for Airline A (25/100) with the proportion of flights operated by Airline A (320/1000), resulting in P(L and A) = 8/100. Therefore, P(L | A) = 1 - P(A | L) = 11/15.

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The points D, E, F are not collinear to points A, B, C and are coplanar. (Right choices: 6, 7, 8)

According to Euclidean geometry, three points are coplanar when they are not collinear. Three or more points are coplanar when they are contained by the same plane.

From this perspective, points A, B, C, D, E, F are coplanar, as they are contained by plane π, but points D, E, F are not collinear to points A, B, C, as they are outside the line contained by plane π.

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Answer:

18% decrease

Step-by-step explanation:

-Subtract the ending value from the starting value.

40.00 - 32.80 = 7.20

-Divide this number by the starting value.

7.20 / 40.00 = 0.18

-Multiply by 100 to find the percentage change

0.18 * 100 = 18% decrease

Answer:

32 ounces

Step-by-step explanation:

8x4=32

There are 32 ounces of stuffing in 4 of the pillow.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A pillow contains 8 ounces of stuffing.

Now,

Since, A pillow contains 8 ounces of stuffing.

So, The amount of ounces in 4 of the pillow = 8 x 4

                                                                    = 32

Thus, There are 32 ounces of stuffing in 4 of the pillow.

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Answer:

6x^4 - 10x^3 - 28x + 15

Step-by-step explanation:

(6x^3 + 4x^2 + 6x - 5) (2x - 3)

= 6x^4 - 18x^3 + 8 x^3 - 12x^2 + 12 x^2 - 18x - 10x+ 15

= 6x^4 - 10x^3 - 28x + 15

Answer:

-4

Step-by-step explanation:

Answer:

l think it is Audi

Step-by-step explanation:

(3/5 of 24=14and5/2) Tommy

(7/10 of 24=16and5/4)Audi

hope am right

if you find it helpful follow me

and plz Mark my answer

Answer:

565.6854249 without rounds

Answer:

Step-by-step explanation:

Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))

Answer:

12k^2+23k-9

Step-by-step explanation:

Answer:

B and Line HG

Step-by-step explanation:

1st One:

This one is kind of hard to explain without an image, but imagine the planes that those triangles are on went on forever. If you think about it, you'll realize that they intersect along line FG. You'll be able to learn how to do this with a little bit more practice.

2nd One:

The symbol above the HG stands for a line, because both ends go on forever. A ray would have one endpoint and one end going on forever, and a line segment would have two endpoints, so no arrows above it.

Answer:

1

Step-by-step explanation:

16 * 1/2 = 8

8 - 7 = 1

Step-by-step explanation:

16a - b = ?

16 (1/2) - 7=

8-7=1

Answer:

2(m + 5)

Step-by-step explanation:

Twice means multiplication.

2 *

Sum means addition.

m + 5

2(m + 5)

Best of Luck!

Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

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Given

Equation

x tea chart __, 0, 2, __

y tea chart 0,__, __, 3

Procedure

y = 0

12x = 16

x = 16/12

x = 4/3

x = 0

-8y = 16

y = 16/-8

y = -2

x = 2

12(2) - 8y = 16

24 - 8y = 16

-8y = 16-24

-8y = -8

y = 1

y = 3

12x - 8(3) = 16

12x - 24 = 16

12x = 16+24

12x = 40

x = 40/12

x = 20/6

x tea chart 4/3, 0, 2, 20/6

y tea chart 0, -2, 1, 3

Answer:

i think its 12!

Step-by-step explanation:

Evaluating the distribution sample surveyed and comparing the long run state of the market of the three companies

i) The distribution of sample as at the beginning month of August is :

  Benfel limited =  5000 customers

  Cromwell Ltd  =   7167 customers

  Samtec  Ltd   =   4400 customers

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customer

i) At the Beginning of the month of August the sample size for each company respectively will be

X * 70/100 = 3500 ∴ x ( sample size at August ) = 5000  ( Benfel )

y * 60/100 = 4300 ∴ y ( sample size at August ) = 7167   ( Cromwell )

z * 50/100 = 2200 ∴ z ( sample size at August ) = 4,400  ( Samtec )

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customers

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The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

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The common difference d is

The first term is

so , the first term is -13

Answer:

Step-by-step explanation:

The fifth term:

The 10th term:

Subtract side-by-side and find d:

Find the first term:

Answer:

(6,-3)

Step-by-step explanation:

;-;

Answer:

80 inches

Step-by-step explanation:

10 x 8 = 80

Answer:

See below

Step-by-step explanation:

Quarters= 25(x)

Nickels =5(x+16)

25x+5(x+16)=590 (no decimal)

If you solve for x, you’ll get the number of quarters.

Answer:

straight line on 2 on the y axis

Step-by-step explanation:

Its just a straight line on 2 on the y axis

option c) = \(\frac{1}{12}\)th of the mass of C - 12 atom is correct.

First, let us study the definition of Atomic Mass,

Atomic mass -

So we can also conclude that the 1 atomic mass unit is equal to 1/12 of the mass of the C-12 atom

Therefore, option c) = \(\frac{1}{12}\)th of the mass of C - 12 atom is correct.

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Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

The answer is C since the square root of 38 is about 6.1 and is the closest to the dot