A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd row . How many seats are there in total? Show and explain all work.

Answer:

The 99% confidence interval for the true average speed of a thunderstorm in his area is between 13.56 miles per hour and 16.44 miles per hour.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 13 - 1 = 12

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.0545

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.0545\frac{1.7}{\sqrt{13}} = 1.44[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.44 = 13.56 miles per hour

The upper end of the interval is the sample mean added to M. So it is 15 + 1.44 = 16.44 miles per hour.

The 99% confidence interval for the true average speed of a thunderstorm in his area is between 13.56 miles per hour and 16.44 miles per hour.

Answer:

43°

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer:

6 x 2 x 3 = 36

Step-by-step explanation:

C is answer :)

Answer:

lets look at the width and the height and the length!

your width is: 6

your height is: 2

your length is: 3

Now lets multiply all given lengths to find the volume!

6 x 2 x 3 = 36 cubic inches!

Answer:

1. 2 x 2 x 2=8

2.3x3=9

3. I'm uncertain about this one but i think maybe 12x2=24 please recheck it

Step-by-step explanation:

considering u call it easy imma assume u know how to do it

Answer:

23.5 inches^2

Step-by-step explanation:

Area of triangle = 1/2 * base * height

area = 1/2 * (5+2) * (5+4)

area = 31.5 in^2

Area of rectangle = length * breadth

area = 4 * 2

area = 8 in^2

Area of figure = area of triangle - area of rectangle

area = 31.5 - 8

area =23.5 in^2

Answer:

34 centimetres

Step-by-step explanation:

Since the flag is made of a square white flags, then all its sides are equal in length. a diagonal of a square would divide it into two equal triangle.

Let the length of the diagonal be represented by t, such that;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]

[tex]t^{2}[/tex]  = [tex](12)^{2}[/tex] + [tex](12)^{2}[/tex]

           = 144 + 144

[tex]t^{2}[/tex]  = 288

t = [tex]\sqrt{288}[/tex]

t = 16.9706

t = 17 centimetres

The length of a diagonal of the flag is 17 centimetres.

So that,

The centimetres of ribbon required to make the "X" = 2 x diagonal

                                                            = 2 x 17

                                                            = 34

The centimetres of ribbon required to make the "X" is 34 centimetres.

Answer:

2a + b>a-2b( just an inequality solution)

hope this helps

have a good day :)

Step-by-step explanation:

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x)

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

15, 60, and 61

Step-by-step explanation:

First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2

c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6

13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:

c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6

18.6 isn’t one of the answers either. Let’s try 15 & 60:

c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85

61.85 might be it but let’s try one more just in case:

c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6

Nope! That means 15, 60, and 61 are the answer. I hope this is correct!

Answer:

y=1x-6

Step-by-step explanation:

First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.

-Hope this helped

After constructing the frame of the sides 5.25 and sandbox, there is 10 inches of wood left over.

A square is a closed, two-dimensional shape that has four equal sides and four vertices. Parallel to one another are its opposing sides. A square is also equivalent to an equal-length and-width rectangle. A square is a regular quadrilateral with four equal-length sides and four equal-length angles. The square's angles are 90 degrees or at right angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. A square is a two-dimensional shape with four equal-length sides. A square's opposing sides are parallel to one another, and its four internal angles are all right angles.

given,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

The wood left over after making the frame of sides 5 .25 inches and the sandbox is 10 inches.

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Therefore , As a result, the value of x is about 5.4 when x3 -10x = 100, which is the answer to the given equation problem.

An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.

Here,

the formula is written as x3 -10x = 100.

We continue testing for the value of x that is valid for x3 -10x = 100 via trial and error.

We've made multiple tries and have:

x = 5.4 (roughly) (approximately)

In x3 -10x = 100, replace x with 5.4.

5.4^3 -10 * 5.4 = 100

Evaluate

103.5 = 100

Approximate

100 = 100

Therefore , As a result, the value of x is about 5.4 when x3 -10x = 100, which is the answer to the given  equation problem.

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The probability that the area of the triangle is at most 20 is 5/9

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. Thus area of triangle XYZ is

1/2×12×6=36

Now if the area of the triangle is at most 20 then the required probability is = 20/36

                      =5/9

Hence, The probability that the area of the triangle is at most 20 is 5/9

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The cost function is a function that describes the total cost of producing x number of books. The fixed cost of 25000 is a constant cost that does not depend on the number of books produced, so it is not included in the cost function. The cost function is therefore:

Cost function: C(x) = 30x

The profit function is a function that describes the profit made from selling x number of books. The profit is equal to the revenue from selling the books minus the cost of producing the books. The revenue from selling x number of books at a price of 50 each is 50x, so the profit function is:

Profit function: P(x) = 50x - 30x = 20x

This profit function tells you that for every book you sell, you will make a profit of 20.

Step-by-step explanation:

cross multiply

12-m(3m)= 1

12-3m²-1=0

multiply by -1

3m²+1-12=0

3m²= 11

m²= 11/3

m=√11/3.

Answer:

x^2 - 10x + 21

Step-by-step explanation:

Sum of zeros

= 7 + 3

= 10

Product of zeros

= 7 x 3

= 21

x^2 - ( sum of zeros )x + product of zeros

= x^2 - 10x + 21

The Quadratic polynomial is x^2 - 10x + 21.

if the zeroes of a quadratic polynomial are a and b, then the polynomial can be written as :

[tex] \boxed{{x}^{2} - (a + b)x + ab}[/tex]

So,

[tex] \hookrightarrow \: {x}^{2} - (7 + 3)x + (7 \times 3)[/tex]

[tex]\hookrightarrow \: {x}^{2} - 10x + 21[/tex]

Answer:

I believe the answer is D

Answer:

Step-by-step explanation:

I believe the answer is D) f(x) = 1 / (x-3)^2

I put that into my graph calculator thing and it matched it perfectly

a) The probability that a person will like cake is given as follows: 0.6 = 60%.

b) The probability that a person does not like any of the two desserts is given as follows: 0.1 = 10%.

c) The events are non-mutually exclusive, as the probability of liking both is different of zero.

In a Venn probability, two events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

The events for this problem are given as follows:

The probabilities for this problem are given as follows:

P(A or B) = 0.9, P(A) = 0.42, P(A and B) = 0.12.

Hence the probability that a person likes cake is given as follows:

0.9 = 0.42 + P(B) - 0.12

0.3 + P(B) = 0.9

P(B) = 0.6.

Probability of 0.90 that people liked cake or pie, hence the probability that a person likes neither is of:

1 - 0.9 = 0.1 = 10%.

(or means at least one of them, and neither is complementary to at least one).

As P(A and B) = 0.12 is different of zero, the events are non-mutually exclusive.

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The value of x=70 and y=40

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Here, 2x+y=180

x-y= 30

Here, the coefficient of y in these two equations are equal and have opposite signs. so,

                             2x+y= 180

                             x-y= 30

     Now adding equation 1 and equation 2

We get,

               3x= 210

                  x= 210/3

                  x= 70

Now, to find y:

Putting the value of x in equation 2

          x-y= 30

         70-y= 30

          y= 70-30

           y= 40

so, the value of x and y are 70 and 40

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Note that equation 1 matches the Line Graph in option (B), equation 2 matches option (C), and equation 3 matches option (A).

It is a graph that depicts a line connecting many points or a line indicating the relationship between the points. The graph depicts quantitative data between two changing variables by connecting a sequence of succeeding data points with a line or curve.

With regard to the above-given graphs,

The inequalities are given as

1. 4x + 3 > 15 or —6x ≥ 12

2. —8x > —24 and —10 ≤ 2x -6

3. -29 ≤ 9x -2 < 16

Note that the way to identify the plots on the line graphs is by solving the above equations.

1) 4x + 3 > 15 or —6x ≥ 12

2) —8x > —24 and —10 ≤ 2x -6

To solve for x in  —8x > —24, divide both sides by -8

x > 3;

So solve for —10 ≤ 2x -6; add 6 from both sides and divide by 2

-4/2 ≤ x

-2 ≤ x  or x ≥ -2

3) -29 ≤ 9x -2 < 16

To solve this inequality, you can start by isolating the variable on one side of the inequality. To do this, you can add 2 to both sides to get:

-29 + 2 ≤ 9x < 16 + 2

-27 ≤ 9x < 18
Now divide both sides by 9 to get:

-3 ≤ x < 2

This means that x can be any number that is greater than or equal to -3 and less than 2.

Given the above results, it is correct to state that equation 1 matches option (B), equation 2 matches option (C), and equation 3 matches option (A).

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Full Question:

See the attached.

Answer:

Im guessing the top one?

Step-by-step explanation:

not sure since the questions are a bit janky, but the exponential decay formula is y=a(1-r)^x

Answer:

18 because you use the middle section which explains how many rolls are needed