find the upper and lower limits of a two sided, 99% confidence interval for a normally distributed population with mean of 77 and standard deviation 7. round your answer to the nearest 0.01

Answer:

45

Step-by-step explanation:

All you have to do is 1080/24 that gives you 45.

Answer: This population, the population is 45 fish.

Step-by-step explanation: This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

This population, the population is 45 fish.

Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

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40 degrees Is the answer.

Hope this helps mate.

PLs give brainliest

Answer:

40

80 + (16x-4) + (9x +4) =180

x=4

BAC = (9*4+4)

BAC = 40

The answer is not listed in the options. The credit score points are 170.

To determine the answer, we need to find the interest rate and monthly payment associated with Stanley's credit score of 544.

Since Stanley's credit score is not listed in the table, we need to estimate the interest rate and monthly payment based on the information provided. Generally, the lower the credit score, the higher the interest rate and monthly payment.

Let's assume that Stanley's interest rate would be 10% and his monthly payment would be $1,000 based on his credit score of 544.

Using the table, we can see that for a $150,000 mortgage with a 10% interest rate, the monthly payment would be $1,316.

Now, we need to determine how much Stanley can afford to pay per year in mortgage payments, which is $12,000. We can divide $12,000 by the monthly payment of $1,316 to get the number of payments he can make in a year: $12,000 ÷ $1,316 = 9.12 payments.

Since there are 12 months in a year, Stanley can only make 9 payments per year. Therefore, he can only afford a mortgage with 9 payments of $1,316, which is $11,844 per year.

To afford a $150,000 mortgage, Stanley would need to lower his interest rate or increase his monthly payment. Since he cannot afford a higher monthly payment, he would need to improve his credit score to lower his interest rate.

Looking at the table, we can see that the interest rate associated with a credit score of 675-699 is 6.25%, which would result in a monthly payment of $924. To afford a $150,000 mortgage with a monthly payment of $924, Stanley would need to improve his credit score by 544 - 675 + 1 = 170 points.

Therefore, the answer is not listed in the options.

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Answer:

4/1 , 4 to 1 , 4:1

Step-by-step explanation

those are the 3 ways

Answer:

f(1) = 15

f(n) = f(n-1) x n

Step-by-step explanation:

The sequence in recursive form is:

f(1) = 15

f(n) = f(n-1) x n

Using this recursive formula, we can find the value of any term in the sequence by calculating the value of the previous term and multiplying it by the index of the current term.

For example, to find the value of f(2), we would use the formula:

f(2) = f(1) x 2

f(2) = 15 x 2

f(2) = 30

Similarly, to find the value of f(3), we would use the formula:

f(3) = f(2) x 3

f(3) = 30 x 3

f(3) = 90

And to find the value of f(4), we would use the formula:

f(4) = f(3) x 4

f(4) = 90 x 4

f(4) = 360

We can continue using this formula to find the values of any term in the sequence.

Answer:

a) the ratio for games to rides is 30:18 and 5:3 in simplest form

b) the ratio for rides to water slides 18:8 and 9:4 in simplest form

c) the ratio for water slides to games is 8:30 and 4:15 in simplest form

Games to rides has  ratios 30:18 and 10:6, rides to water slides has ratios 18:8 and 9:4 and rides to water slides has ratios 18:8 and 9:4

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

An amusement park has 18 rides, 30 games, and 8 water slides

We need to write ratio in simplest form in two different ways.

a. games to rides

There are 30 games and 18 rides.

So ratio is 30:18 and 10:6

Games to rides has  ratios 30:18 and 10:6

b) rides to water slides

There are 18 rides and 8 water slides

So ratio is 18:8 and 9:4

rides to water slides has ratios 18:8 and 9:4

c) water slides to games

There are 8 water slides and 30 games

So ratio is 8:30 and 4:15

water slides to games ratios is 8:30 and 4:15

Hence, Games to rides has  ratios 30:18 and 10:6, rides to water slides has ratios 18:8 and 9:4 and rides to water slides has ratios 18:8 and 9:4

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The table of values on the given graph is for the polynomial y = -x+4.

The example we are using is a polynomial in one variable. It is to be represented graphically. The graph for it is given below.

From this graph, we can clearly see the coordinates of all points we have taken. In order to make the table of values, we need to find the x and y intercepts.

We see that the first point from the left is aligned to the -2 on the x-axis and to the 6 on the y-axis. Similarly, we can identify the following values from the given graph.

x = -2 and y = 6

x = -1 and y = 5

x = 0 and y = 4

x = 1 and y = 3

x = 2 and y = 2

This is the table of values that we found out through the graph.

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Answer:

Gross Domestic Product (GDP) includes all final goods and services produced within a country, in a specific period and doesn't necessarily include all the transactions that are going in the economy.

For example: Used domestic car buying or selling won't be counted for the GDP of current year, as it was manufactured and sold in 2000.\]Step-by-step explanation:

Let's check one by one

#1

False

#2

True

#3

True

#4

False

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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The ordered pair (-5, -4) does not satisfy both equations simultaneously, it is not a solution to the system.

To check whether the ordered pair (-5, -4) is a solution of the system of equations:

1) 3x - y = -11

2) 2x - 2y = -3

We substitute x = -5 and y = -4 into both equations and check if the equations hold true.

For equation 1:

3(-5) - (-4) = -11

-15 + 4 = -11

-11 = -11

The equation is satisfied.

For equation 2:

2(-5) - 2(-4) = -3

-10 + 8 = -3

-2 = -3

The equation is not satisfied.

The ordered pair (-5, -4) does not satisfy both equations simultaneously, it is not a solution to the system.

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Answer: Z'(-7;8)

suppose the coordinates of Z' is Z'(x,y)

we have:

\(\left \{ {{x=8.cos90-7.sin90=-7} \atop {y=8.sin90+7.cos90=8}} \right.\)

=> Z'(-7;8)

Step-by-step explanation:

Answer:

C) 352 cm^2

Step-by-step explanation:

\(We\ are\ given\ that\ ,\\Volume\ of\ the\ cylindrical\ vessel = 448\pi\ cm^3\\Height\ of\ the\ cylindrical\ vessel =7 cm\\\\We\ know\ that,\\Volume\ of\ a\ cylinder=\pi r^2h\\Hence,\\\pi r^2h=448\pi \\Substituting\ 7\ instead\ of\ h,\ we\ get,\\\pi r^2*7=448\pi \\Canceling\ \pi \ on\ both\ the\ sides\ we\ have,\\r^2*7=448\\r^2=448/7\\r^2=64\\r=8\)

\(We\ now\ know\ that\ ,\\Radius\ of\ cylindrical\ vessel\ = 8\\Height\ of\ the\ cylindrical\ vessel\ =7\\\\Hence,\\CSA\ of\ a\ cylinder\ = 2\pi rh\\CSA\ of\ the\ cylindrical\ vessel = 2*\pi *7*8\\Approxiamating\ the\ value\ of\ \pi\ as\ \frac{22}{7} ,\\CSA\ of\ the\ cylindrical\ vessel = 2*\ \frac{22}{7} *7*8\\=2*22*8\\=352\ cm^2\)

Answer:

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet. There were twice as many small boxes shipped as large boxes shipped and the total volume of all boxes was 168 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

\underline{\text{Define Variables:}}

Define Variables:

​  

May choose any letters.

\text{Let }s=

Let s=

\,\,\text{the number of small boxes shipped}

the number of small boxes shipped

\text{Let }l=

Let l=

\,\,\text{the number of large boxes shipped}

the number of large boxes shipped

Each small box has a volume of 6 cubic feet, so the volume of ss small boxes would be 6s6s cubic feet. Each large box has a volume of 12 cubic feet, so the volume of ll large boxes would be 12l12l cubic feet. Therefore, the total volume 6s+12l6s+12l equals 168:168:

6s+12l=168

6s+12l=168

Since there were twice as many small boxes shipped as large boxes, there were more small boxes, so if we multiply 2 by the number of large boxes, we will get the number of small boxes, meaning ss equals 2l.2l.

let s = number of small boxes shipped

let l= number of large boxes shipped

6s+121 = 168

s=21

The number of small boxes shipped are 14 and the number of large boxes shipped are 7.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet.

Let the number of small boxes be x and the number of large boxes be y.

There were twice as many small boxes shipped as large boxes

So, x=2y ------(I)

The total volume of all boxes was 168 cubic feet.

6x+12y=168 ------(II)

Substitute equation (I) in equation (II), we get

6(2y)+12y=168

12y+12y=168

24y=168

y=7

Substitute y=7 in equation (I), we get

x=14

Therefore, the number of small boxes shipped are 14 and the number of large boxes shipped are 7.

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To determine the ticket price at which the theatre would make $0 in revenue, we need to use the equation for revenue:

Revenue = Ticket Price x Quantity of Tickets Sold

If the theatre makes $0 in revenue, then the equation becomes:

0 = Ticket Price x Quantity of Tickets Sold

To solve for the ticket price, we need to rearrange the equation to isolate for Ticket Price:

Ticket Price = 0 / Quantity of Tickets Sold

If the theatre wants to make $0 in revenue, then the ticket price would have to be $0. This is because if the theatre charges anything above $0, it would generate revenue. The only way for the theatre to make $0 in revenue is if it does not charge for tickets at all.

The ticket price for the theatre to make $0 in revenue would have to be $0.

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The calculated value of x in the circle is 18 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

The angle at a semicircle is 90 degrees

using the above as a guide, we have the following:

5x = 90

Divide by 5

So, we have

x = 18

Hence, the solution for x is 18 degrees

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The correct answer is option e) tempered.

Compared to the tone of Passage 2, the tone of Passage 1 is more tempered.

Passage 1 discusses recycling as a socio-cultural phenomena, whereas passage 2 is a recycling critique.

Therefore, the tone of passage 1 is a little more upbeat than that of passage 2.

As a result, we may determine that tempered is the most appropriate tone for this passage 1.

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Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

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Answer:

c=1/4t-3

Step-by-step explanation:

The two scale degrees shared by the iii chord and the v chord are 2 and 4. Therefore, the correct option is option 2.

1: Determine the scale degrees of each chord

The iii chord consists of scale degrees 3, 5, and 7

The v chord consists of scale degrees 5, 7, and 2 (in some cases notated as 9)

2: Compare the scale degrees to find the shared ones

Both the iii chord and the v chord share scale degrees 2 and 4.

Hence, the two scale degrees which is shared by the iii chord and the v chord are option 2: 2 and 4.

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Answer:

C

No, because x=−5 corresponds to both y=1 and y=−3.

Step-by-step explanation:

This is not a function.  The graph has values of x that correspond to multiple values of t

The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.

Therefore, the determinant of the given elementary matrix is 4k.

To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:

\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)

The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.

In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.

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Answer:

B.) The interquartile range of the data is 2

Step-by-step explanation:

Answer:

first blank 39, second 9/39 i think, and third 351

Step-by-step explanation:

i haven't done something like this in a long time so i dont know if its completely correct or correct at all

Check the picture below.

the assumption being that the y-axis represents the water level more or less and the x-axis represents the minutes elapsed, we're also assuming this rate is constant, so it creates a straight-line on the cartesian plane.

We know that every 3 minutes pass, the level rises by 13 cm, let me reword that, we know that as the "rise" is 13, the "run" is 3, well, slope is rise/run, that simply gives us a slope of 13/3.

Now, we have another point on the line, (9 , y), whatever "y" might be, we know that the slope is y/x or rise/run, so we can say that

\(\stackrel{\textit{given slope}}{\cfrac{13}{3}}=\stackrel{\textit{equivalent slope}}{\cfrac{y}{9}}\implies 117=3y\implies \cfrac{117}{3}=y\implies 39=y\)

we know the slope is 13/3 or namely 13 cm every 3 mins, what about for just 1 minute? we can simply get their quotient, 13 ÷ 3 which is about 4.3 cms/min.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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Answer:

70

Step-by-step explanation:

the width is 10 and the length is 7