What is the marginal distribution of males? Weight Class vs. Gender
Underweight At Goal Weight Overweight Total
Male 93 206 81 380
Female 37 446 137 620
Total 130 652 218 1000
A. 62.0% B. 38.0% C. 13.0% D. 65.2%

Answer:f

(

x

+

2

)

=

3

x

+

2

Step-by-step explanation:

Answer:

y = 1/2 x + 1.

Step-by-step explanation:

A line perpendicular to a line with slope m will have a slope of -1/m.

The line y = -2x - 7 will have a slope of -1/ -2 = 1/2.

Using the point-slope form of a straight line

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (4, 3).

So, y - 3 = 1/2(x - 4)

y = 1/2x - 2 + 3

y = 1/2 x + 1.

Answer:

CosW =0.28

explaination:

first find value of the Hypotenuse side,

then find value of Cos W as recalled from

Cos W =Adjacent side/Hypotenus side

Answer:

8

Step-by-step explanation:

WHYYY

the total amount of fruit slices eaten = 15

1st meal = 7

2nd mean = x

now do this

7+x=15

x=15-7

x=8

Answer: 10.8 cm

Following are the calculation to find the x:

Given:

Assuming the triangle is ABC:

then

∠A = 81∘

∠B = 40∘

A = 7cm

To find:

x=?

Solution:

To find the x value we use the Law of sine:

Putting the given value:

The equation of the line in slope-intercept form is: y = 6.

Given that the points, (-4,6) and (4,6) lie on a line, the steps below shows how to write the equation of the line in slope-intercept form.

Step 1: Find the slope of the line:

Slope (m) = change in y / change in x = (6 - 6)/(-4 - 4)

Slope (m) = 0/-8

Slope (m) = 0

Step 2: Substitute m = 0 and (x, y) = (4, 6) into y = mx + b to find the value of b

6 = 0(4) + b

6 = 0 + b

6 = b

b = 6

Step 3: Substitute m = 0 and b = 6 into y = mx + b

y = 0(x) + 6

y = 0 + 6

y = 6

In conclusion, the equation of the line in slope-intercept form is: y = 6.

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Answer:

-25

Step-by-step explanation:

First, write an equation to represent the situation. To get -87, a number (lets say x) is first tripled, and then 12 is subtracted from the result.

So: -87 = 3x - 12

Then, solve for x by first adding 12 to both sides:

-87 = 3x - 12 ----> -75 = 3x

Finally, divide both sides by 3 to get x by itself:

-75 = 3x ----> -25 = x

The interval in which the function has positive average rate of change is x > √3

The function is given as

f(x) = x^3 - 9x

Differentiate the above function to determine the average rate of change

So, we have

f'(x) = 3x^2 - 9

Set the function to greater than 0

So, we have

3x^2 - 9 > 0

Add 9 to both sides

3x^2 > 9

Divide by 3

x^2 > 3

Take the square root of both sides

x > √3

Hence, the interval in which the function has positive average rate of change is x > √3

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The translation of word problems into mathematics equations enables the determination and prediction of precise values in real life situations.

First part:

The work rate of one person if 3 people takes two days to do a job is given by the equation;

[tex] \frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C} = \frac{1}{2} [/tex]

Which indicates that one person takes 6 days to get the same work done

Second part;

Where the costs of a combination of cakes and orange drinks can be expressed using the equations;

2•c + o = 0.4

3•c + 3•o = 0.9

It indicates that a cake costs $0.1, and an orange drink costs $0.2

Third part;

Precision is required to conduct a scientific experiment remotely

A word problem in science is the expression of sufficient or significant background information of a problem is given using every day language, rather than using mathematical notations.

First part;

An example word problem is as follows;

The translation of the above question is as follows;

Let C represent the work rate or the number of days one person takes to do the same work, we have;

[tex] \frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C} = \frac{1}{2} [/tex]

Which gives;

[tex]C = \frac{3}{ \frac{1}{2} } = 6[/tex]

The number of days it takes one person to do the work, C = 6 days

Second part;

A word problem that involves multi step linear equations is as follows;

How much does a cake cost

How much does an orange drink cost

Solution;

Let c represent the cost of a cake and let o represent the cost of an orange drink, we have;

2•c + o = 0.4...(1)

3•c + 3•o = 0.9...(2)

Multiplying equation (1) by 3 and subtracting equation (2) from the result, gives;

3×(2•c + o) - (3•c + 3•o) = 3×0.4 - 0.9

Which gives;

3•c = 0.3

c = 0.3/3 = 0.1

c = 0.1

The cost of one cake, c = $0.1

From equation (1), we have;

2•c + o = 0.4

Which gives;

2×0.1 + o = 0.4

o = 0.4 - 2×0.1 = 0.2

The cost of one orange drink, o = $0.2

Third part;

The consequence that might occur if the measurement were not precise is that the vehicle and equipment may not be able to make it back to the surface.

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The result of simplifying the number 64³.⁵ using the exponent rules is

1.24x10^27

To solve this exercise we have to resolve algebraic operations following the exponent rules.

Note the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

(64³)⁵

64 ⁽³*⁵⁾ =

64¹⁵ =

1.24x10^27

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Answer: The length of the cell in stand form is 5.4x10-6 m = 0.000000054 m

Step-by-step explanation:

It is given by that the size of a bacterial is 0.000000054 m , which can be with in as 5.4x10-6 m in standard form

We need to find the value of m.

Clearly the standard form of

0.000000054 = 5/10000000

                         = 5 x 1/10000000

                         = 5 x 1/[tex]10^{6}[/tex]

0.000000054 = 5 x [tex]10^{-6}[/tex]

Therefore,

                      5 x [tex]10^{-m}[/tex] = 5 x [tex]10^{6m}[/tex]

and the value of m = 6

So,

The length of the cell in stand form is 5.4x10-6 m = 0.000000054 m

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The remaining weight seashells that Jonathon has is 7/4 kg or  [tex]1\frac{3}{4}[/tex] kg.

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" derives from the Latin word "fractio," which means "to break." As the first civilization to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Weight of the remaining sea shells = [tex]4\frac{1}{2}[/tex] - [tex]2\frac{3}{4}[/tex]

Weight of the remaining sea shells = 9/2 - 11/4

Weight of the remaining sea shells = 18-11/4

Weight of the remaining sea shells = 7/4 kg

Weight of the remaining sea shells = [tex]1\frac{3}{4}[/tex] kg

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The weight of the remaining sea shells Jonathan has is 1¾ kg.

So, the weight of the remaining sea shells: 4½ - 2¾

Now, solve the above fraction operation for the weight of remaining sea shells.

Therefore, the weight of the remaining sea shells is 1¾ kg.

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Answer:

firstg one

Step-by-step explanation:

two x's

Answer:

The answer to that question is 58

Answer:

$6 in each group

Step-by-step explanation:

$5.20+$4.64+$2.16=12

12/2=6

Answer: 11 hours :)

Step-by-step explanation: 1215-445=770, 770 divided by 70=11 so 11 days

Answer:

Step-by-step explanation:

Given system:

Multiply the second equation by - 4 (the opposite of the coefficient of x in the first equation) then add up the two equations, this will eliminate x and we'll solve it for y.

Find x:

Solution is: (-6, 2)

4x - 9y = -42 -------------(1)

-4x - 20y = -16 -----------(2)

-9y -20y = -42 -16

-29y = -58

y = 2

x + 5*2 = 4

x + 10 = 4

x = 4 - 10

x = -6

Answer:

(-6,2)

Answer:

20

Step-by-step explanation:

multiples of 4 (4,8,12,16,20....)

multiples of 10 (10,20....)

The point on the number line which is closest to  √130 is 11

According to the question we need to find the number closest to the √130

We know that the √130 = 11.4

And 11.4 number lies between 11 and 12 . That is

               11< 11.4 <12

But as we see on the number line 11 is much closest than the number 12 on the number line.

Also the

         distance between 11 and 11.4 is 0.4

  and distance between 11.4 and 12 is 0.6 .

Thus distance between 11 and 11.4 is small.

Hence 11 is closest point to √130 on the number line.

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If the function f(x) = 4 - 2√x  then the inverse function be [tex]x^{2}[/tex] −8x+18 = f(x)

An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by f-1 or F-1 if the function is denoted by ' f ' or ' F '.

Assume that the function is [tex]f(x) = 4 + \sqrt{x-2}[/tex] and f(x) = 4+x−2

​where the x − 2 is under the radical sign.

The first step is to swap the f(x) and x.

The new function would be

[tex]$x = 4 + \sqrt{f(x) -2}x=4+ f(x)-2[/tex]

To solve the value of f(x) in the new function

x = 4 + [tex]\sqrt[2]{f(x)-2}[/tex]

x - 4 = [tex]\sqrt{f(x)-2}[/tex]

simplifying the above equation, we get

[tex](x -4^{} )^{2}[/tex] = f(x) − 2

[tex]x^{2}[/tex] − 8x +16 = f(x) − 2

[tex]x^{2}[/tex] − 8x + 18 = f(x)

The inverse of the function f(x) = 4 - 2√x is [tex]x^{2}[/tex] −8x+18 = f(x)

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The written description of the relationship between the variables as discussed in the task content is; Choice C; You leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before.

According to the task content, the time (hours) is plotted on the x-axis while the distance (miles) is plotted on the y-axis.

Since the graph is described by a line, it follows that it's slope is constant and consequently, its distance covered increases to 2 hours. This signifies driving.

Also, since the distance covered is constant through 3 hours, it follows that no distance is covered in that time and hence, speed is zero which signifies a stop.

Ultimately, when the distance increases through 6 hours, it follows that although the speed is constant, it is slower than the first 2 hour distance.

Therefore, Choice C correctly represents the interpretation of the relationship between the variables.

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The expression that is equivalent to the given expression is -2x/15 + 2. The correct option is the third option-  negative two over fifteen times x plus two

From the question, we are to determine the expression that is equivalent to the given expression

The given expression is

1/5(3x +10) - (11/15)x

Clear the parentheses by applying the distributive property

1/5(3x) + 1/5(10) - (11/15)x

3x/5 + 2 - 11x/15

Collect like terms

3x/5 - 11x/15 + 2

(9x - 11x)/15 + 2

-2x/15 + 2

Hence, the expression that is equivalent to the given expression is -2x/15 + 2. The correct option is the third option-  negative two over fifteen times x plus two

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the verified answer is wrong.

The error in solving for the equation in the question was that m was not appropriately converted from a negative number.

The equation is:

-m/3 = -4

Solving gives:

3 x (-m/3) = 3 x -4

m is a negative and should remain so. The next step is:

-m = -12

m = -12 / -1

m = 12

m is therefore 12 and not -12.

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4y +5x = 8

y= -3x+5

The slope-intercept form of the equation of the line through the given points =  1) through: (0, 2) and (4, -3)

              2 ) through: (0, 5) and (2, -1)

The general formula for slope-intercept form is y = mx + b, where m represents the slope of the line, and b represents the y-value of the line's y-intercept. The slope-intercept form of a linear equation makes it easier for us to identify how steep a line is and where it crosses the y-axis.

1) through: (0, 2) and (4, -3)

m = y2-y1 /x2-x1

m= -3-2/4-0

m=-5/4

y = mx

y-y1 = m(x-x1)

y- 2 = -5/4(x-0)

y-2= -5x/4

4(y-2) = -5x

4y -8 = -5x

4y +5x = 8

2 )  through: (0, 5) and (2, -1)

m = y2-y1 /x2-x1

m= -1-5/2-0

m= -6/2

m= -3

y = mx

y-5 = m(x-0)

y-5 = -3(x)

y-5 = -3x

y= -3x+5

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The exponential decay function for 24 mg sample is given as  

[tex]F(t) = 24 (0.5)^{\frac{t}{5730} }[/tex])   and 0.64mg carbon - 14 will remain after 30 millennia.

Exponential function that represent the decay is given as :

           [tex]F(t) = a (0.5)^{\frac{t}{h} }[/tex]       (1)

where,   F(t) = amount remaining after time t

               a = amount of sample is decayed

               t = time in years

               h = half life years

The values that we have been given are :

       a = 24 mg sample

       h = 5730 years

Putting the required values in equation (1) we get

          [tex]F(t) = 24 (0.5)^{\frac{t}{5730} }[/tex]     (2)

 Now we need to find how much carbon-14 remains after 30 millennia.

That is we have to find F(t) for t = 30 millennia = 30000 years

      [As 1 millennium = 1000 years]

Putting the required values in equation (2) we get

        [tex]F(t) = 24 (0.5)^{\frac{30000}{5730} }[/tex]

       [tex]F(t) = 24 (0.5)^{5.236}[/tex]

        F(t) = 24*0.027

       F(t) = 0.64 mg

Thus 0.64mg carbon - 14 will remain after 30 millennia.

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Answer: 2044.444444444 repeating

Step-by-step explanation:

divide 18400/9 and that's what you get in long division

[tex]\bf\implies[/tex]29 times they visit their club.

Step 1) : Based on the given conditions, formulate:

[tex] \bf \longrightarrow{39.16 + 7.65x = 55.69 + 7.08x}[/tex]

Step 2) : Solve the equation

[tex] \bf \longrightarrow{39.16 + 7.65x = 55.69 + 7.08x}[/tex]

[tex] \bf \longrightarrow{7.65x - 7.08x= 55.69 - 39.16}[/tex]

[tex] \bf \longrightarrow{0.57x= 55.69 - 39.16}[/tex]

[tex] \bf \longrightarrow{0.57x= 16.53}[/tex]

[tex] \bf \longrightarrow{x= \frac{16.53}{0.57} }[/tex]

[tex] \bf \longrightarrow{x= \frac{1653}{57} }[/tex]

[tex] \bf \longrightarrow{x= 29 }[/tex]

Answer:

-5/14

Step-by-step explanation:

common denomatior is 14

-9/14 + 4/14 (since 2/7 and 4/14 are the same thing)

numerator: -9+4=-5

denominator stays the same.

-5/14 is your answer

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

These fractions have denominators in common, so let's find them!

7 x 2 = 14, so 2/7 also equals 4/14.

9/14 + 4/14 = 13/14

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

Have a wonderful day/night! :)

(Please consider leaving a Brainliest as it will be greatly appreciated!)

~pinetreee

Answer:

h=-2

Step-by-step explanation:

17+4h+2=1−5h

19+4h=1-5h

4h=-18-5h

9h=-18

h=-2