can someone please help me?

The number of seats in the theater is 1510.

Here we have to find the number of seats in the theater.

Data given:

Total row = 20

number of seats on the first row = 28

number of seats on the second row = 33

number of seats on the third row = 38

Therefore we get the series as 28, 33, 38......., which is in arithmetic sequence.

The common difference (d) = 5

Here we have to find the sum of the series.

The formula for the sum of n term of the arithmetic sequence:

[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)

    = 20/2 ( 2× 28 + (20 -1) 5)

    = 10 ( 56 + 19×5)

    = 10( 56 + 95)

    = 10 ×151

    = 1510

Therefore the number of seats is 1510.

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Answer:

4x - y = -8

Step-by-step explanation:

y = 4x+8

-8 + y = 4x

-8 = 4x - y

4x - y = - 8

Answer:

We'll assume that the kitchen appliance (either an oven or a refrigerator) are actually the same, so I'll call it an oven.

The sales tax on an oven priced at 6% is $40.52

Step-by-step explanation:

($675.40)*(0.06) = $40.524, rounded to $40.52

The height of the antenna found using trigonometric ratios is about 8 meters

Trigonometric ratios indicates the ratio of the sides of a right triangle, and have values based on the lengths of the sides of a right triangle, drawn on the coordinate plane.

The distance from the building at which Brooklyn stands = 23 meters

Angle of elevation from her eyes to the roof, θ = 24°

Angle of elevation from her eyes to the top of the antenna = 38°

Height of her eyes from the ground = 1.66 meters

[tex]tan(\theta) = \dfrac{Opposite}{Adjacent} = \dfrac{Height}{Horizontal \, distance}[/tex]

Therefore;

Height = Horizontal distance × tan(θ)

Height to the top of the roof, H₁ = Horizontal distance × tan(θ)

Therefore;

H₁ = 23 × tan(24°) ≈ 10.24

Height to the top of the antenna, H₂ = 23 × tan(38°) ≈ 17.97

Height of the antenna ≈ 17.97 - 10.24 ≈ 8

Height of the antenna is about 8 meters

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98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

What does a statistical random sampling entail?

P = x/n

= 89/168

= 0.53

α= 0.02

∴ Zc = Zi - α/2

= 2.326

Now, C.I = P ± Zc * √[P(1-P)/n]

= 0.5 ± 2.326 *√[(0.53(1-0.53)) / 168

= (0.440, 0.619)

∴98% C.I. = 0.440 < P < 0.619

Hence, 98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

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Susan would charge $7.50 to babysit 5 kids.

The unitary method is used to calculate the value of a single unit from a given multiple. If the cost of 40 pens is Rs. 400, how do you calculate the value of one pen? The unitary method can be used to accomplish this. Furthermore, once we've determined the value of a single unit, we can multiply that value by the number of units needed.

Given,

Amount charged for 3 kids =$4.50

then,

Amount charged for 1 kid will be [tex]\frac{4.50}{3}=$1.50[/tex]

now, amount charge to babysit 5 kids =1.50*5=$7.50

Thus, Susan would charge $7.50 to babysit five children..

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The circle's radius circumscribed through points, A,D and E are 2 units.

Look at the image  of the figure attached below for a better understanding of the solution :

From the given figure, we can conclude the following data:

AP = √3/2(a)  → 1 length of the median for the triangle of side a.

by putting the value of a. we get:

AP = √3/2(2)  = √3

AQ = AP + PQ = √3 + 2

Area of triangle AEΔ = 1/2 × EΔ × AQ = 1/2(2) (√3+2)

AE = AD = √(EQ)² + (AQ)²

= √(1)² + (2+√3)² = √1+4+3+4√3 = √8+4√3

= 2√2+√3

We know that,

R = abc/4Δ

R = 2(2×√2+√3)  (2√2+√3) / 4{1/2×2×(√3+2)}

R= 2{4(2+√3)} / 4(√3+2)²

On solving the above equation we get ,

R = 2 units.

As a result, the radius of the circle is 2 units when it is defined by the points A, D, and E.

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The maximum number of aphids in the cherry orchard is 1508.

What is population growth?

Population growth is the term used to describe the relative increase in population over a period of time. The growth rate is defined as growth per unit of time.

Given, N(t) = 1500-3t*ln(0.1t)-t

For maximum/minimum,  [tex]\frac{dN}{dt} =0[/tex]

or, -3*ln(0.1t) - [tex]\frac{3t}{0.1t} *0.1[/tex] - 1 = 0

or, -3*ln(0.1t) = 4

or, ln(0.1t) = -4/3

or, t = 2.64

Then, [tex]\frac{d^{2} N}{dt^{2} } = \frac{-3*0.1}{0.1t} = \frac{-3}{t}[/tex] at t = 2.64

= -1.1381 < 0

Hence, it is maximum.

For the maximum number of Aphids put t = 2.64, we get

N = 1508

Hence, the maximum number of aphids in the cherry orchard is 1508.

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List could be the one Akeem created is option D . 0.21  22%  1/4  0.35  3/8  38%.

Given:

Akeem created a list by correctly putting a group of fraction in percentage and decimals order from least to greatest value.

Least to greatest value:

Option D :

0.21  22%  1/4  0.35  3/8  38%

= 22 %

= 22 / 100

= 0.22

1/4 = 0.25

3/8 = 0.375

38 = 38 / 100

= 0.38

0.21 < 0.22 < 0.25 < 0.35 < 0.375 < 0.38.(least to greatest)

Hence Option D is correct.

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Full question:

Is in the image uploaded.

Suppose if 55 students in the class’s sample say Yes so, there is not sufficient evidence that more than half of the school student recycle.

and Suppose 63 students in the class’s sample say Yes so, there is sufficient evidence that more than half or majority school student recycle.

A.)

According to given data Suppose 55 students in the class’s sample.

n = 100 and x = 55

⇒ p = [tex]\frac{55}{100}[/tex] = 0.55

hence p' = 0.50

so, p > 0.50

Z = [tex]\frac{p-p'}{\sqrt{} \frac{p'(1-p')}{n} }[/tex]

Z = [tex]\frac{0.55-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex]

so, Z = 1

let level of significance α = 0.05

critical Z value at α = 0.05 for one tail test is 1.645

since Z = 1 < z' = 1.645

do not reject at α = 0.05

there is not sufficient evidence that more than half of the school student recycle.

B.)

According to given data Suppose 63 students in the class’s

given data,

X = 63 and n = 100

now P = 63/100 = 0.63

Z = [tex]\frac{0.63-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex] = 2.6

since, Z = 2.6 > Z' = 1.645

⇒ reject at  α = 0.05

there is sufficient evidence that more than half or majority school student recycle.

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Answer:

divide 59.36 by 12 to get through cost of one = 4.95

Step-by-step explanation:

unit cost is the cost of one product

If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

How do you tell if a system of equations has no solution algebraically?

If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

What does a system look like if it has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

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When a biased coin is tossed ten times, the likelihood of getting at least nine heads is 0.0463.

The binomial distribution's PMF is;

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

Following are the results of a calculation using a binomial distribution to determine the likelihood of receiving at least 9 heads.

P(X ≥ 9) = P(X = 9) + P(X = 10)

P(X ≥ 9) = ¹⁰C₉. (0.6)⁹ (1 - 0.6)¹ + ¹⁰C₁₀. (0.6)¹⁰ (1 - 0.6)⁹

P(X ≥ 9) = 0.0403 + 0.0060

P(X ≥ 9) = 0.0463

Thus, when a biased coin is tossed ten times, the likelihood of getting at least nine heads is 0.0463.

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The complete question is-

A biased coin is tossed 10 times and the probability of obtaining heads is 0.6.

Find the probability of obtaining at least 9 heads. Round answer to the nearest ten-thousandth.

The volume of the balloon will be 9.3 L and the volume of the tire in the morning will be 10.93 L.

Heat is the result of the movement of kinetic energy within a material or an item, or from a power source to a material or an object. Three ways exist for such transfer of energy to take place: Convection, radiation, and conduction

As per the given information in the question,

1.

Volume, V1 = 5 L

Temperature, T1 = 200 K and,

Temperature, T2 = 373 K

V1/T1 =V2/T2

5/200 = V2/373

V2 = 9.3 L

2.

Pressure, P1 = 80 KPa

Pressure, P2 = 250 KPa

Volume, V2 = 3.5 L

P1V1 = P2V2

80(V1) = 250(3.5)

V1 = 10.93 L

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Answer: 9x - y = -5

Step-by-step explanation:

Answer:

5 miles

Step-by-step explanation:

Perimeter of a square = 4s

Where s = side length

We are given that the square has a side length of 1.25 (so s = 1.25)

Plugging this into the formula we acquire perimeter = 4(1.25) = 5 miles

Answer:

Parallel

Step-by-step explanation

Put into y=mx+b

Equation 1:

14x=2y-6

add 6

14x+6=2y

Divide by 2

7x+3=y

Equation 2:

8/7=y-7x

add 7x

7x+8/7=y

Look at the slope of each equation (the x)

1: 7x    and     2. 7x

The slopes are the same so the lines are parallel

Hope this helped!

The measure of the largest angle of quadrilateral is 140°.

We have given that,

the ratio of angles of a quadrilateral is 2:3:6:7.

And we have to find the largest angle of quadrilateral.

We know that the sum of all the interior angles of quadrilaterals 360°.

Let the common multiple of angles be x,

therefore  

2x + 3x + 6x + 7x = 360°

                      18x = 360°

                         x = [tex]\frac{360}{18}[/tex]

                         x = 20°

so the angles becomes,

2(20°) = 40°

3(20°) = 60°

6(20°) = 120°

7(20°) = 140°

Hence the largest of these angles is 140°.

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BC IF YOU MULIPLY 3X3=9 AND 7X3=21 so yes its is proprational

Step-by-step explanation:

Hope you have a good day :D

Adjacent angles of a parallelogram are supplementary.

[tex]3x+10+8x+5=180 \\ \\ 11x+15=180 \\ \\ 11x=165 \\ \\ \boxed{x=15} \\ \\ \\ \\ 5y+3(15)+10=180 \\ \\ 5y+55=180 \\ \\ 5y=125 \\ \\ \boxed{y=21}[/tex]

the volume of the region bounded by y = 2x²  is 4π/5unit³

What is volumes of Solids?

We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of a combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of volume of the individual solids.

Given, region y = 2x²

Volume will be V = π/2 ∫(r²) dr

So we have 1/3 π * r² * h

So V = 4π (1/5)

V =  4π/5unit³

Hence, the volume of the solid is 4π/5unit³

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For Cameron's job, the restrictions on the domain are 168 hours for the hourly rate.

The total number of hours affects how much money is made.

This suggests that the amount of money made is the result of the number of hours put in.

A week can only have a total of 168 hours (24 x 7).

Thus, the domain for the hourly wage of Cameron.

24 x 7 < 168

Since 168 hours is the maximum that can be completed in a week, this represents the constraint mostly on domain.

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The correct Option (B). Succession may be defined as the change in the ecological community of the species with respect to time. Two main types of succession are primary succession and secondary succession.

The living things that accumulate in the succession is from the simple organism to the complex organism. First lichens will evade in the land. After lichens grass then shrubs and finally the trees will cover the area and convert into the forest.

Primary succession occurs in basically dead areas—regions where the soil is incapable of supporting life due to causes such as lava flows, newly created sand dunes, or glacier-left boulders.

Pioneer microorganisms, plants (lichens and mosses), grassy stage, smaller shrubs, and trees are all stages of primary succession. When there is food available, animals begin to return. The climax community stage is reached when the ecosystem is fully functional.

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Full Question :

After a town is abandoned, the concrete parking lots remain empty and inactive for hundreds of years. What is the most likely order of ecological succession in that area?

A.grass → trees → lichens → moss

B.lichens → grass → shrubs → trees

C.lichens → grass → trees → shrubs

D.shrubs → grass → trees → lichens

Using triple integrals we know that the solid in question has a volume of 1024/3³ units.

Multiple integrals in mathematics is a definite integrals of a function with many real variables, such as for f.

The area of a region enclosed by the function's curve is calculated using the double integral.

It can also be used to figure out how much space is beneath the surface.

The double integral can also be used to calculate the average value of a function with two variables over the rectangular region.

So, the volume of the solid (V) in this problem must be calculated using the triple integral formula in rectangular coordinates:

[tex]V=\iiint d y d x d z[/tex] ...(1)

The following intervals impose restrictions on the solid:

[tex]y \in\left[x^2, 16\right], x \in[-4,4], z \in[0,4][/tex]

The triple integral is currently explained as follows:

[tex]$$V=\int_0^4 \int_{-4}^4 \int_{x^2}^{16} d y d x d z$$\\[/tex]

Now we integrate three times to get the volume:

[tex]\\\begin{aligned}& V=\int_0^4 \int_{-4}^4\left(16-x^2\right) d x d z \\& V=\left.\int_0^4\left(16 \cdot x-\frac{x^3}{3}\right)\right|_{-4} ^4 d z \\& V=\frac{256}{3} \int_0^4 d z=\frac{1024}{3}\end{aligned}$$[/tex]

Therefore, using triple integrals we know that the solid in question has a volume of 1024/3³ units.

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Complete question:

Use a triple integral to find the volume of the given solid. The solid is bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.

Observed proportions (relative frequencies) from a sample are statistics that can be used to estimate probabilities.

a) Thre is 99.73% proportion of observations is in between 190 and 310 .

b)there is 95.44% proportion of observations is in between 210 and 290 .

We have given that,

Mean of population, μ = 250

standard deviations, σ = 20

we have to calculate proportion of observations in the given interval pair.

a) pair of values are 190 and 310

Using Z-score formula,

Z =( x - μ) /σ

=> Z = (190 - 250) / 20 = -3

Similarly, Z = (310 - 250)/20 = 3

So, -3 < z < 3 and from Z score we found p-value

P(190<X<310) = P( 190-u/sd < X-u/sd < 310-u/sd)

= P( X< 310 ) - P(X<190) = P(Z < 3) - P( Z< -3 )

=0.99865 - 0.00135 0.9973 = 99.73%

b) pair is 210 and 290

Z-Score = (210-250)/20 = -2

Z-score = (290-250)/20 = 2

so, -2 < z < 2

From Z score we found p-value

P(210<X<290) = P(X<290) - P(X<210)

= P(Z< 2) - P(Z< -2)

= 0.9772 - 0.0228 = 0.9544 = 95.44%

So, the required proportion are 99.73% and 95.44% proportion of observations in each given pair.

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Complete question:

If the mean of a population is 250 and its standard deviation is 20, approximately what proportion of observations is in the interval between each pair of values? a 190 and 310 b. 210 and 290.

The average increase in the number of flowers pollinated per day between days 4 and 10 is 39.

What is average increase?

Average increase refers to the average rate of growth that a variable experiences within a given period.

According to the given question:

The number of pollinated flowers as a function of time in days is represented by the function f(x) = [tex]3^{(x/2)[/tex]

To find the average increase in the number of flowers pollinated per day between days 4 and 10, we use the formula

{f(10) - f(4)}/{10 - 4}

Now f(10) = [tex]3^{(10/2)[/tex]

               = 243

Also f(4) = [tex]3^{(4/2)[/tex]

             = 9

Therefore average increase = {f(10) - f(4)}/{10 - 4}

                                               = (243 - 10)/10 - 4

                                               = 234/6

                                               = 39

Thus, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39.

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Reason:

Every exponent shown for choice A is an even number, which by extension points us to an even polynomial function.

Choice D has all odd exponents (think of [tex]\text{x}[/tex] as [tex]\text{x}^1[/tex]), which means choice D is an odd polynomial function.

Choices B and C have a mix of even and odd exponents for their terms. This means B and C are neither even nor odd.

The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

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It is true that the variance is the simplest measure of dispersion and is computed as the difference between the maximum value and the minimum value in the data set.

Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.

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