if tan x = -4/3 and x is in quadrant 2, then cos2x is

Answer:

Step-by-step explanation:

There are three different possibilities for our first decision, each corresponding to which container we choose. So, if we choose container A, with 1/3 probability, we have a 6/10=3/5 probability of drawing green, which means we have a (1/3)(3/5)=1/5 of picking Container A and then picking a green ball. Similarly for container B the probability is (1/3)(4/10)=2/15, and the same for container C. So, the total probability is (1/5)+(2/15)+(2/15) = 7/15.

Answer: -2

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

The median of the cans collected by the tuck shop will be 77.

In statistics and probability theory, the median is the number that separates the upper and lower half of a population, a probability distribution, or a sample of data.

The middle score in the group is called the median. You follow these steps to determine the median:

Put the results in numerical order.

Subtract 2 from the final score.

If your total scores are odd, round them up to the next whole number to determine where the median falls. If your total scores are even, find the number that is in the middle and add it to the one that is higher up to get the median.

Total cans collected = 20

Dividing 20 by 2 we get 10, which is even.

To calculate the total of the two scores (76 + 78 = 154) add the score in the tenth position of the given data set to the number in the next position. Dividing 154 by 2, we get 77.

Therefore, 77 is the median in this instance.

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The result of the subtraction are-

The subtraction formula:

Minuend - Subtrahend = Difference

Part 1:

   46,329

-   33, 108

_______

   13,221

_________

Part 2:

  8,695

-   702

_______

  7, 993

_________

Part 3:

 700,989

-     7,989

_______

 693,000

_________

Part 4:

   55

-   49

_______

   06

_________

Thus, the result of the given subtractions are found.

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The probability that all four defective bulbs will be obtained by the same person is 0.1140   .

In the question ;

it is given that

the total number of light bulbs in the box = 24 bulbs

total number of bulbs available for first person = 24 bulbs

number of defective bulbs = 4

So, the number of ways the first person can select 4 defective bulbs out of 10 selection = C(10,4)

total number of ways that first person can select 4 defective bulbs out of 24 bulbs  = C(24,4)

So , the Probability that all four defective bulbs obtained by first person = C(10,4)/C(24,4) . .......(i)

Since 10 bulbs have been selected

So, total number of bulbs available for second person = 14 bulbs

number of defective bulbs = 4

So, the number of ways the first person can select 4 defective bulbs out of 14 remaining bulbs = C(14,4)

total number of ways that first person can select 4 defective bulbs out of 24 bulbs  = C(24,4)

So , the Probability that all four defective bulbs obtained by second person = C(14,4)/C(24,4) . .....(ii)

Probability that all four of the defective bulbs will be obtained by the same person

= P(four defective bulbs obtained by first person) + P(four defective bulbs by second person)

Substituting the probabilities from (i) and (ii) , we get

= C(10,4)/C(24,4) + C(14,4)/C(24,4)

= (210/10626 )+(1001/10626) ...as C(10,4)=210 ,C(24,4)=10626, C(14,4)=1001

= 1211/10626

= 0.1139657

≈ 0.1140

Therefore , the probability that all four defective bulbs will be obtained by the same person is 0.1140   .

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Answer: 11

Step-by-step explanation:

8x + 7 = 9x - 4

7 = x - 4

11 = x

Here is the completed table:

number of spring rolls        number of people

6                                                 3

30                                               15

40                                                20

28                                                  14

The first step is to determine the number of people that one spring roll would serve.

Number of people that one spring roll would serve = 3 / 6 = 1/2

Number of people that s spring rolls would serve = number of people that 1 spring roll would serve x s

Number of people that 30 spring rolls would serve = 1/2 x 30 = 15

Number of people that 40 spring rolls would serve = 1/2 x 40 = 20

Number of people that 28 spring rolls would serve = 1/2 x 28 = 14

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Answer:   [A]:  " 78 °  " .

_______

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

So, given m∠F & m∠G are supplementary angles:
 and given m∠F = (4x + 22) and:  m∠G = (6x + 18) ;

 Find m∠F ; which equals (4x + 22).

_______
So, add the 2 (two) supplementary angles;

set them as "equal to 180" ;

solve for x ;

then: plug that x  value into:
     (4x + 22) ; which is the m∠F ;

_______
 4x + 22 + 6x + 18 = 180 ;  

On the 'right-hand side of the equation" ;

 "combine the like terms" :
    + 4x + 6x = + 10x ;

    + 22 + 18 = 40 ;

Then rewrite the equation:
   10x + 40 = 180 ;

_______
Now:
Method 1):
 Subtract 40 from Each Side of the equation:
   10x + 40 − 40 = 180 − 40 ;
     to get:  10x = 140 ;  

  Now:  Divide Each Side of the equation by 10 ;  to isolate x on one side of the equation; & to solve for x ;
     10x / 10 = 140 / 10 ; to get:  " x = 14 " ;

Method 2):
  When we have:  10x + 40 = 180 ;

    Divide the entire equation (i.e. Each Side of the equation) by 10 ;

   to get rid of the "zeros" :

        (10x + 40) / 10 = (180)/10 ;

    to get:
    (10x/10) + (40/10) = (180/10);

     →  x  + 4 = 18 ;

     Subtract 4 from Each Side of the equation;  to isolate x on one side of the equation; & to solve for x ;
         x  + 4 − 4 = 18 − 4  ;
     to get:  x = 14 .
_______
 Now, find m∠F = 4x + 22  ;  
   Plug in 14 for x ; to solve:
                  m∠F = 4(14) +22 ;

                           =   56 + 22 ;

                  m∠F =  78°

        which corresponds to:
Answer choice:  [A]:  78°  .
_______
Hope this is helpful to you!

 Wishing you well!
_______

Answer:

A

Step-by-step explanation:

Angles that are supplementary add to 180°.

[tex]4x+22+6x+18=180 \\ \\ 10x+40=180 \\ \\ 10x=140 \\ \\ x=14 \\ \\ \therefore m\angle F=78^{\circ}[/tex]

Answer:

s=3

Step-by-step explanation:

So you have the equation: [tex]\frac{6}{s}=2[/tex]

If we multiply both sides by this "s" value we should maintain equality, and it conveniently cancels out our division by "s" on the left side giving us the following equation: [tex]6=2s[/tex]

The only "operation" on the value "s" is the coefficient of 2, which is multiplying the value of "s" by 2.

To undo this multiplication of 2, we simply divide by 2, since 2/2 = 1, and now we have a coefficient of 1 for the "s", which is the same as isolating "s"

But we want to divide both sides by 2 to maintain equality, so let's write out our expression

[tex]\frac{6}{2}=\frac{2s}{2}\implies3=\frac{2}{2}*s\implies 3=s[/tex]

We can double check this by plugging in this value for "s" in the original equation: [tex]s=3, \ \frac{6}{s}=2\implies \frac{6}{3}=2\implies 3=3[/tex] which is indeed true, so we have our solution!

Answer:

y = -x(x - 1).

Step-by-step explanation:

y = a(x - b)(x - c) where a is a constant and b and c are the x-intercepts.

y = a(x - 0)( x - 1)

y =   ax(x - 1).

When x = 2, y = -2 so:

-2 = a(2) (2 - 1)

2a = -2

a = -1.

So the equation is y = -x(x - 1).

Answer:

[tex]y=-x^2+x[/tex]

Step-by-step explanation:

Intercept form of a quadratic equation:

[tex]y=a(x-p)(x-q)[/tex]

where:

Given:

Substitute the given values into the formula and solve for a:

[tex]\begin{aligned}y&=a(x-p)(x-q)\\\\\implies -2&=a(2-0)(2-1)\\-2&=a(2)(1)\\-2&=2a\\\dfrac{2a}{2}&=\dfrac{-2}{2}\\\implies a&=-1\end{aligned}[/tex]

Substitute the given x-intercepts and the found value of a into the formula:

[tex]y=-1(x-0)(x-1)[/tex]

Expand to standard form:

[tex]\implies y=-1(x)(x-1)[/tex]

[tex]\implies y=-x(x-1)[/tex]

[tex]\implies y=-x^2+x[/tex]

Answer:

CD and BG

EF and AH

Step-by-step explanation:

Skew lines are a lines that are on different planes.

BC and CD are on the same plane, and EF and FG are on the same plane.

This leaves CD and BG, and EF and AH, which are on different planes, and thus skew lines.

Answer:

[tex]8x + 4h + 3[/tex]

Step-by-step explanation:

[tex]f(x)=4x^2 + 3x-5 \\ \\ f(x+h)=4(x+h)^2+3(x+h)-5 \\ \\ =4(x^2+2xh+h^2)+3x+3h+5 \\ \\ =4x^2+8xh+4h^2+3x+3h+5 \\ \\ f(x+h)-f(x)=(4x^2+8xh+4h^2+3x+3h+5)-(4x^2+3x+5) \\ \\ =8xh+4h^2+3h \\ \\ \frac{f(x+h)-f(x)}{h}=\frac{8xh+4h^2+3h}{h}=8x+4h+3[/tex]

When we simplify ³√(-64x⁶y⁹), the result obtained is written as -4x²y³

To simplify ³√(-64x⁶y⁹), do the following:

³√(-64x⁶y⁹)

Simplifying individual term, we have

³√(-64) = -4

³√(x⁶) = x²

³√(y⁹) = y³

Combining the individual simplification, we have

³√(-64x⁶y⁹) = -4 × x² × y³

³√(-64x⁶y⁹) = -4x²y³

Thus, from the above illustration, we can conclude that simplifying ³√(-64x⁶y⁹) results in -4x²y³

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Answer:

148.4

Step-by-step explanation:

4.40x8.40x4=148.4

Test of a horizontal line.Suppose f is a function.F does not have an inverse if any horizontal line crosses the graph of f more than once.F does have an inverse if no horizontal line crosses the graph of f more than once

How do you calculate f's inverse?

f= {(1,2),(2,3),(3,5),(4,7)}

Dom(gof)=dom(f)={1,3,4}.

(gof)(1)=g{f(1)}=g(2)=3,

(gof)(3)=g{f(3)}=g(5)=1

(gof)(4)=g{f(4)}=g(1)

∴gof={(1,3),(3,1),(4,3)}.

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The correct option is Option(c) An observational study where religious affiliation is an independent variable.

Therefore, it is an observational study where religious affiliation is an independent variable.

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The complete question is: "According to a study published in the journal Social Psychological and Personality Science, people with religious affiliations live longer, on average, than those without religious affiliations. The study analyzed more than 1,000 obituaries and accounted for other variables like sex and marital status.

What type of study is this, and what is the explanatory variable?

A. A manipulative experiment where religious affiliation is an independent variable

B. A manipulative experiment where lifespan is an independent variable

C. An observational study where religious affiliation is an independent variable

D. An observational study where lifespan is an independent variable."

The equation best compares the slopes of two functions is,

Slope of function B = 2 × Slope of function A

Given,

The function A, f(x) = x - 9

We have to find slope of Function B

The function is in the form of y = mx + b

Here, m is the slope.

y = x - 9

m is 1 and b is -9

Now, lets consider the graph of line passing through points (-1, -3) and (2, 3)

That is,

(x₁, y₁) = (-1, -3)

(x₂, y₂) = (2, 3)

Now we can find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-3)) / (2- (-1))

m = (3 + 3) / (2 + 1)

m = 6/3

m = 2

That is, the slope of function B is 2

Here,

Slope of function A is 1.

That is, slope of function B is twice the slope of function A.

Therefore, the equation best compares the slopes of two functions is,

Slope of function B = 2 × Slope of function A

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The graph of the absolute value function is an inverted "V" such that the vertex is at (-4, -5) and opens downwards.

We call a modular function the function f(x) = |x|, in which its domain is given by the real numbers and its range is the positive real numbers. This is because, for every negative value on the y-axis, the modular function will make |-y| = -(-y) = y

Therefore, to plot the graph of a modular function, it is enough to adopt some values ​​for x and apply them to the function f(x) = | x |, in order to obtain their respective values ​​in y.

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We have to find the length of FH.

We know that G is on the line, and we know the length FG and GH, so we can represent this as:

We then, we can apply the rule that states that the length of a segment is equal to the length of the segments that are part of it:

Answer: FH = 15

The value of x if T is the midpoint segment XY is 14.

The midpoint is the middle point of a line segment.

It is equidistant from both endpoints.

The midpoint is halfway between the two end points.

Therefore, the end point of the segment is XY.

The midpoint is T.

Hence,

XY = XT + YT

XT = 3x - 14 = YT

XY = 8x - 56

Let's find the value x.

Therefore,

8x - 56  = 3x - 14 + 3x - 14

8x - 56 = 6x - 28

8x - 6x = -28 + 56

2x = 28

divide both sides by 2

x = 28 / 2

x = 14

Therefore, the value of x is 14

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I am not in this grade but I think it is A

Step-by-step explanation:

if right please mark brainiest

Answer:

x- intercept: ( -10,0)

y- intercept: (0, -45)

Step-by-step explanation:

An x intercept can be determined from the graph above by recognizing where the given line crosses the x-axis. The same is true for the y intercept and the y-axis.

On this graph, we see that the line crosses the x axis at the point ( -10,0), making this our x intercept.

We also see that the line crosses the y axis at the point (0, -45), making this our y intercept.

HOPE THIS HELPS!!

Answer:

Not sure what you are looking for

Step-by-step explanation:

Acceleration = change in velocity / change in time

                     = (60 - 65) / 1 s =  - 5 m/s^2

Answer:

I believe it should be

f(1.7) = 2.8

f(-3.4) = -17.6

f(9.8) = 35.

Step-by-step explanation:

Simply plug-in the different numbers for x.

Answer:

Step-by-step explanation:

Answer:

The percent of decrease in the price of the scooter is 30.6%.

Step-by-step explanation:

In order to calculate the percent of decrease, you have to divide the difference between the two numbers by the original number and multiply the result for 100:

% decrease=((10.75-15.50)/15.50)*100

% decrease=-0.306*100

% decrease= -30.6%

According to this, the answer is that the percent of decrease in the price of the scooter is 30.6%.

[tex]18-51=36x+45-18x-60\\18x-51=36x-18x+45-60\\18x-51=18x-15\\18x-18x=-15+51[/tex]

∴ 18x-18x≠-15+51

THERE IS NO SOLUTION FOR THIS EQUATION

Answer: this is just the first one

y = -3.5x + 2

subtract the 7x from both sides to get 2y = -7x + 4

divide by 2 to get rid of the 2 so you get y = -3.5 + 2

For the third the mistake was adding 3.

You're meant to subtract the 10x from both sides to get -3y = -10x + 6

Divide everything by -3 to get y = 3.3 - 2

We can conclude that the probability of the randomly selected person does not use any facility is 0.

So, the probability that the selected person does not uses any facility:

Therefore, we can conclude that the probability of the randomly selected person does not use any facility is 0.

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Answer:

2.1

Step-by-step explanation:

Use a calculator then put in 4.2 (4 1/5)% then put 50

Example: 4.2%50 = 2.1

Step-by-step:

n(x) = -1 - x + 4

n(-2) = -1 - (-2) + 4

  = -1 + 2 + 4

  = 5

___________________________

n(0)= -1 - 0 + 4

  = 3

___________________________

n(5)= ​-1 - 5 + 4

  = -2