Given the equation 4(3n-7) = -19, what is the first step you could use to solve for n?​

Answer:

x=24

Step-by-step explanation:

6×(5/6)x +6(10)=6(30)

5x +60=180

5x +60-60=180 - 60

5x=180 -60

5x=120

5x/5 =120/5

x=24

Answer: 8/23

Step-by-step explanation:

Make a two-way table

                             Did Assignment        Didn't do Assignment

Passed                            12                                        2

Did not pass                    3                                        6

Total                                 15                                       8                     = 23

2+6=8

8/23

Answer:

may be that is not V that mau be some numbers

If both the upstairs and downstairs switches are in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Both the upstairs and downstairs switches are in the up position

This is different from the required position to on the light

Hence, the light will be off

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An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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a. null hypothesis \(H_0\): PRmean=non-PRmean

b. the sample mean lies in the interval, so we fail to reject null hypothesis

c. critical value z(0.05)=1.96 is less than calculated z=3.56 so we fail to accept null hypothesis.

A null hypothesis states that there is no statistical significance to be discovered in the set of presented observations. The validity of a theory is assessed through hypothesis testing on sample data. Sometimes known as the "null," it is represented by the symbol  \(H_0\).

(a)

null hypothesis  \(H_0\): PRmean=non-PRmean

(b).

i. \((1-\alpha)\times 100\%\) confidence interval for sample

\(mean=mean \pm z(\frac{\alpha }{2} )*SE(mean)\)

95% confidence interval for sample PRmean=PRmean±z(.05/2)*SE(mean)=69.5±1.96*1.9

=69.5±3.724=(65.776,73.224)

95% confidence interval for sample non-PRmean=non-PRmean±z(.05/2)*SE(mean)=61.2±1.96*1.7

=69.5±3.332=(57.868, 64.532)

ii. null hypothesis not be rejected

iii. since the sample mean lies in the interval, so we fail to reject null hypothesis

(c).

i. mean difference=69.5-61.5=8

ii. SE(difference)=\(\sqrt{SE(PR)^2+SE(non-PR)^2}\)

\(=\sqrt{1.9\times 1.9+1.2\times 1.2}\)

=2.2472

iii. we use z-test and z=(mean difference)/SE(difference)=8/2.2472=3.56

iv. here level of significance alpha is not mentioned,

let \(\alpha\) =0.05

critical value z(0.05)=1.96 is less than calculated z=3.56 so we fail to accept null hypothesis.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

10 ft pls like if it helped

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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86,000 :)

hope it helped!

There will be 360 different ways without using the same airline or shipping line.

A combination in mathematics is a selection of items from a set with distinct members, where the order of selection is irrelevant.

Let's first consider the number of ways the man can choose his outbound journey. He has 6 airlines to choose from, and once he has made his choice of airline, he has 4 shipping lines to choose from.

Therefore, there are 6 × 4 = 24 ways he can choose his outbound journey.

For his return journey, he cannot use the same airline or shipping line that he used for his outbound journey.

This means he now has 5 airlines and 3 shipping lines to choose from. Therefore, there are 5 × 3 = 15 ways he can choose his return journey.

The total number of ways he can make his journey is:

24 × 15 = 360

Therefore, he can make his journey in 360 different ways without using the same airline or shipping line.

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By solving the two equations, the values of x , y and x-y are found to be 1, 25/3 and -22/3 respectively.

Given two equations are;

5x+3y=30..........(1)

−5x−2y=−25.........(2)

Now , from (2)

−5x−2y=−25

⇒ 5x +2y = 25 (multiply both sides with '-' sign)

⇒ y = \(\frac{(25 -5x)}{2}\)

Solving the system;

substitute the above vale of y in eq (1)

5x + 3y = 30

⇒ 5x + 3 ( \(\frac{(25 -5x)}{2}\)) = 30

⇒  5x + (\(\frac{(75 - 15x)}{2}\)) = 30

⇒  \(\frac{10x+75-15x}{2}\) = 30

⇒ -5x + 75 = 60

⇒  -5x = -5

⇒ x = 1

∴ x = 1

Now substitute the value of x in (1)

5x + 3y = 30

⇒ 5 × 1 + 3y = 30

⇒ 3y = 25

⇒ y = 25/3

∴ y = 25/3

Now using the value of x and y , we can find the value of x - y

x - y = 1 -25/3 = (3 - 25)/ 3 = -22/3

∴ x - y = -22/3

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Answer:

No.

Step-by-step explanation:

For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.

The 4 sign that someone is having as allergic reaction are cell mediated, cytotoxic, immunocomplex and anaphylactic ?

The symptoms and signs that someone having allergic reaction is that

People experienced food allergies also like hives, swelling of the tongue, swelling of tongue, swelling of face. Some of the respiratory symptoms are chest tightness, coughing, shortness of breath, wheezing, throat tightness. There are also some GI symptoms which are diarrhea, vomiting, cramps and abdominal pain.

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Answer:

The x coordinate of S is b.

Step-by-step explanation:

a)

The coordinates of Point Q are:

(2a+2b)/2, 2c/2

= [(a + b), c].

The slope of the line AB

= (0-2c)/(2b-2a)

= -c/(b-a)

So The slope of the line QS = (b - a) / c = (b - a)/c.

Its equation is

y - c = (b - a)/c ( x - (a+b))

y = (b - a)/c ( x - (a+b)) + c.

The coordinates of Point P are:

(2a+0)/2, 2(c+ 0)/2

= (a, c)

The slope of the line AO

= (2c)/2a

= c/a

So The slope of the line PS = -a/c

Its equation is

y - c =  -a/c(x - a)

y  =  -a/c(x - a) + c

b)

So:

(b - a)/c ( x - (a+b)) + c

=  -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

bx - ab - b^2  - ax + a^2 + ab = -ax + a^2

bx - ax + ax + a^2 - a^2 - ab + ab = b^2

bx  =  b^2

x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

Answer:

x = gym memberships, and y = bottles of water

30x + 7y = 1050.....when x = 28

30(28) + 7y = 1050

840 + 7y = 1050

7y = 1050 - 840

7y = 210

y = 210/7

y = 30....so he would have to sell 30 water bottles

Step-by-step explanation:

Answer:

1188=35m+9w

Step-by-step explanation:

Answer:

390

Step-by-step explanation:

.

The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer:

129 cents

Step-by-step explanation:

each inch of wire costs 3 cents.

43 x 3 =129

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

\(y = - 2x + 7\)

you can see from graph that line is going through (0,7) and (5,-3) and that is enough to fine the equation of a line using formula

\(y-y_1= \frac{y_2-y_1}{x_2-x_1} \times (x-x_1)\)

Answer:

just took the test and it's D on edge

Step-by-step explanation:

The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D

Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Since the root of the equation is given 5,  4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.

Implies (x - 5) and (x - (4-13i))

(x - 5) and  (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.

Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .

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Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

Answer:

A = 55

B = 60

Step-by-step explanation:

We know that 55+ b+ other angle = 180 since they make a straight line

The other angle = 65 since they are alternate interior angles

55+ B+ 65 = 180

Combine like terms

120 + B = 180

B = 60

A + B + 65 = 180 interior angles of a triangle must equal 180 degrees

A +60+ 65 =180  

Combine like terms

A +125 = 180

A = 55

Answer:

\(\boxed{A = 55\°}\)

\(\boxed{B = 60\°}\)

Step-by-step explanation:

Exterior Angle with A = 180 - 55 = 125 degrees  (Angles on a straight line)

The measure of exterior angle is equal to the sum of non-adjacent interior angles.

So,

125° = B + 65°

B = 125 - 65

B = 60°

Now,

A = 180 - 60 - 65     (Interior angles of a triangle add up to 180 degrees)

A = 55°

Answer:

Using the y2-y1/x2-x1 formula you can get the slope. You can find the slope by doing 7-5/5-2 which is 2/3, the slope.