Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must have the same number of men and women

Answer:

A: The y-intercept of f(x) is equal to the x-intercept of g(x)

Step-by-step explanation:

From the equation of f(x) given, we have;

f(x) = -4(1.09)^(x)

Now,the y-Intercept will be the point where x = 0.

Thus;

f(0) = -4(1.09)^(0)

f(0) = -4

Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.

Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)

five I think I am not sure

Answer:

5:15 simplified as 1:3

Step-by-step explanation:

The number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

Peter sold a cup of lemon juice = $1.25

Peter sold a cup of apple juice =  $2.50

Total number of cups sold = 155 cups

Total amount = $256

Let number of cup of lemon juice be x and

let number of cup of apple juice be y

The equations for the above statements are

[tex]x + y = 155 ------- (1)\\1.25x +2.50y = 256 ------- (2)[/tex]

From equation 1,

⇒ [tex]x=155-y[/tex]

Now substitute x in equation 2,

⇒ [tex]1.25(155-y)+2.50y=256[/tex]

⇒ [tex]193.75-1.25y+2.50y=256[/tex]

⇒ [tex]1.25y=256-193.75[/tex]

⇒ [tex]1.25y=62.25\\[/tex]

⇒ [tex]y=\frac{62.25}{1.25}[/tex]

⇒ [tex]y=49.8[/tex] ≈ [tex]50[/tex]

Now substitute y in equation 1,

⇒ [tex]x=155-50[/tex]

⇒ [tex]x=105[/tex]

Hence we can conclude that the number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

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Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

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Rewrite the fractions as decimals by dividing:

7/8 = 0.7777

3/4 = 0.75

1/2 = 0.5

2/3 = 0.666

0.777 is the largest number so 7/9 is the largest fraction.

Answer: 7/9

Answer:

2/3

Step-by-step explanation:

L.C.M:36

7/9:28/36

3/4:27/36

1/2:1836

2/3:36/36

Answer:

1/2×d1×d2

=1/2× (4+4)(6+3)

=36

Answer:

y=|x -3| -1

Step-by-step explanation:

Answer:

d. 20

Step-by-step explanation:

28 ÷ (100%+40%)

= 28 ÷ 140%

= 28 ÷ 1.4 = 20

Answer:

option d

Step-by-step explanation:

Let the number be x

40% of x = 0.40x

Increased by 40% = 28

That is ,

           x + 0.40x = 28

               1.40x = 28

                   [tex]x = \frac{28}{1.40}\\[/tex]

                  [tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]

Therefore, the number is 20

Answer:

condition

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.

Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).

Answer:

(3,-5)

Step-by-step explanation:

The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.

Answer:

b ≈ 48.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin b = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{12}[/tex] , then

b = [tex]sin^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 48.6° ( to 1 dec. place )

Answer:

The two INTEGERS are :-

-3 and +4

-3 * (+4) gives us -12

-3 + (+4) gives us 1

hope it helps

have a nice day

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3.

Step-by-step explanation:

???????? what is easy??

Answer:

-27/7

Step-by-step explanation:

put x into the equation

Step-by-step explanation:

answer what ?

all we can see is a grid of coordinates with a functional graph drawn into it.

and we know this function is called y=h(x).

that is it.

what answer is needed ? there is no question visible.

Answer:

0.50=1.7. They do not equal each other

Step-by-step explanation:

Thats what I got from this question

Answer:

B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C

Answer:

6.5

Step-by-step explanation:

We need to solve out for x , the given Equation is ,

[tex]: \implies[/tex] x - 3x + 2 = -11

[tex]: \implies[/tex] -2x = -11 -2

[tex]: \implies[/tex] -2x = -13

[tex]: \implies[/tex] x = -13/-2

[tex]: \implies[/tex] x = 6.5

Answer:

x = 6.5

Step-by-step explanation:

[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]

Step-by-step explanation:

here's the answer to your question

Answer:

Get all the values of the histogram and put them in order:

For example 2,5,7,1,7,3  becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5

Then see which of the readings lie on 3.5.

Step-by-step explanation:

9514 1404 393

Explanation:

The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.

Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.

Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.

__

If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.

__

There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:

  class 1: count 3

  class 2: count 5

  class 3: count 4

  class 4: count 4

Total count: 3+5+4+4 = 16. Median index = 16/2 = 8

Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.

__

2nd example

Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.

Answer: C

Step-by-step explanation:

Step-by-step explanation:

dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd

Answer:

290 foils

Step-by-step explanation:

145,000÷500=290

Answer:

93600

Step-by-step explanation:

The divisibility rule of 24 is that the number has to be divisible by both 3 and 8. So we need to plug in numbers for x and y to find the greatest number. 93600 should be the answer.

The solution for x is x = (y + 49)/7.

Given that an equation 7x - 49 = y, we need to determine the equation in for of x,

To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 7x - 49 = y.

Add 49 to both sides of the equation to isolate the term with x:

7x = y + 49.

Divide both sides of the equation by 7 to solve for x:

(7x)/7 = (y + 49)/7.

Simplify:

x = (y + 49)/7.

Therefore, the solution for x is x = (y + 49)/7.

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Answer:

4/9 of an hour (26.666 minutes)

Step-by-step explanation:

4 * x * 40/60 = 1

x * 160/60 = 1

x=60/160 = 6/16 = 3/8 (this is the rate for one worker)

~~~~~~~~~~~~~~~~

6 * (3/8) * x = 1

x = 4/9

Answer:

see explanation

Step-by-step explanation:

To verify cos²A + sin²A = 1 with A = 90° , then

cos²90° + sin²90°

= (0)² + (1)²

= 0 + 1

= 1