Find the value of the expression v + 9 for v = 7.

Answer:117649

Step-by-step explanation:

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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You have the next equation:

When you subtract a negative number, it leads you to an addition. In other words, a minus sign followed by a negative sign, turns the two signs into a plus sign:

Then, the equation will become into:

happy first question!!!!

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

Nvgjvfknh

Step-by-step explanation:

Answer:

9,000

Step-by-step explanation:

This question seems to be somewhat incomplete, but 60% is above 50 and we round if its above 5, which essentially gives the answer.

Answer:

-125w^6z^24

Step-by-step explanation:

Answer:

-125w^6z^24

Step-by-step explanation:

Answer:

the product of the decimal equivalents of all discount in the series

vertex: (-2,-4)

axis of symmetry: x = -2

hope this helps :)

There is evidence to suggest that the market share for the Honda Civic in the city is different from its national market share of 20% by using Hypothesis test. 95% confident that the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra is between 0.512 and 0.613.

Conduct a hypothesis test at the 5% level of significance to determine if the market share for the Honda Civic in the city is different from its national market share of 20%. First, we need to calculate the expected frequencies for each category based on the national market shares:

Honda Civic: 0.20 x 400 = 80

Toyota Corolla: 0.17 x 400 = 68

Nissan Sentra: 0.12 x 400 = 48

Hyundai Elantra: 0.10 x 400 = 40

Chevrolet Cruze: 0.10 x 400 = 40

Ford Focus: 0.08 x 400 = 32

Others: 0.23 x 400 = 92

Then, we can use the chi-squared goodness-of-fit test to determine if the observed frequencies in the sample are significantly different from the expected frequencies.

The test statistic is calculated as follows:

chi-squared = sum((observed - expected)^2 / expected)

Using the observed and expected frequencies from the sample, we get:

chi-squared = ((99-80)^2/80) + ((73-68)^2/68) + ((53-48)^2/48) + ((45-40)^2/40) + ((41-40)^2/40) + ((26-32)^2/32) + ((63-92)^2/92) = 14.68

The degrees of freedom for this test are df = k - 1 = 7 - 1 = 6, where k is the number of categories. Using a chi-squared distribution table with 6 degrees of freedom and a significance level of 0.05, the critical value is 12.59.

Since our calculated chi-squared value of 14.68 is greater than the critical value of 12.59, we reject the null hypothesis and conclude that there is evidence to suggest that the market share for the Honda Civic in the city is different from its national market share of 20%.

b) Construct a 95% confidence interval for the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra.

We can use the formula for a confidence interval for a proportion:

CI = p ± zsqrt(p(1-p)/n)

where p is the proportion of interest, z is the critical value from the standard normal distribution (1.96 for a 95% confidence interval), and n is the sample size.

We want to find the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra. From the sample, the total number of sales for these three models is 99 + 73 + 53 = 225. The total sample size is 400.

So, the proportion we are interested in is:

p = 225/400 = 0.5625

Plugging in the values, we get:

CI = 0.5625 ± 1.96sqrt(0.5625(1-0.5625)/400) = 0.512 to 0.613

Therefore, we can be 95% confident that the proportion of compact cars sold in the city that are either a Honda Civic, Toyota Corolla, or Nissan Sentra is between 0.512 and 0.613.

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_____The given question is incommplete, the complete question is given below:

Based on 2017 sales, the six top-selling compact cars are the Honda Civic Toyota Corolla_ Nissan Sentra Hyundal Elantra_ Chevrolet Cruze; and Ford Focus (New York Daily News) . The 2017 market shares are Honda Civic 20 %, Toyota Corolla 17%, Nissan Sentra 12 %, Hyundar Elantra 10 %, Chevrolet Cruze 10%_ and Ford Focus 8% with other small car models comprising the remaining 23%. sample of 400 compact car sales in Chicago showed the following number of vehicles sold_ Excel File: datal2-27xlsx Honda Civic Toyota Corolla Nissan Sentra Hyundai Elantra Chevrolet Cruze Ford Focus Others Use goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales_ Using 0.05 level of significance what is the P-value? Use Table of Appendix The p-value Select your answer What is your conclusion? Conclude that the markets shares for the seven compact cars in Chicago Select your GMAAT the market shares reported_ What market share differences, if any; exist in Chicago? Round your answers to three decimal places Enter negative values as negative numbers_ Sample Hypothesized Market Share Compact Car Market Share Honda Civic Difference Toyota Corolla Nissan Sentra Hyundai Elantra Chevrolet Cruze 0.10 0.10 Ford Focus Others 0.23

Answer: 1/51

Step-by-step explanation: 1/51 is cut into bigger pieces. Its like cutting 2 pizza's of the exact same size. If you cut one into 5 pieces and another one into 10. If you take a piece of pizza out of both pizza's then the one cut into 5 pieces would be a ligger size.

Answer: 4

Step-by-step explanation:

It crosses on the y axis at the point (0,4)

Answer:

4

Step-by-step explanation:

The y-intercept of the line shown is 4.

Hope this helps :)

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Using percentages we know that 62% or 62 students out of 100 students prefer biology.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Thus, the proportion refers to a component per 100.

The word percent denotes a percentage of 100. It is represented by the symbol "%."

So, according to the given situation:

34 females enjoy biology

Do boys enjoy biology?

It is 34%≤

Then,

27% favor chemistry

10% favor physics.

The calculation would be:

27 + 11 = 38

100 - 38 = 62

Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.

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Correct question:

100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?

Answer:

\(\textsf{a)} \quad P=-20(x-2)^2+3380\)

b)  cost of ticket = $13

    max profit = $3380

    number of tickets sold = 260

Step-by-step explanation:

Profit equation:   \(P=20(15-x)(11+x)\)

Vertex form of quadratic equation:  \(y=a(x-h)^2+k\)

(where (h, k) is the vertex and \(a\) is some constant)

First, write the given profit equation in standard form \(ax^2+bx+c\):

\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)

Factor -20 from the first two terms:

\(\implies P=-20(x^2-4x)+3300\)

Complete the square:

\(\implies P=-20(x^2-4x+4)+80+3300\)

\(\implies P=-20(x-2)^2+3380\)

The vertex of the profit equation is (2, 3380).

Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13

The maximum profit is the y-value of the vertex:  $3380

The number of tickets sold at this price is:

⇒ max profit ÷ ticket price

= 3380 ÷ 13

= 260

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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Answer:

(0.9, -2.1)

Step-by-step explanation:

should be correct from what I looked up on how to find the coordinates 3/10 of the way from ordered pair A to ordered pair B

The range of mileages that Company A would charge less than Company B would be m > 80.

The function for Company A is $ 121 to show that the company price does not change.

The function of Company B would be 65 + 0. 70 m to show that $ 0.70 is charged per mile.

The mileage where Company B charges more is:

121 < 65 + 0. 70 m

56 < 0. 70 m

m > 56 / 0. 70

m > 80

In conclusion, when the miles are over 80 miles, then Company B is more expensive.

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Answer:

11 students brought both a pen and a pencil

Step-by-step explanation:

59 students brought a pen or pencil or both

48 + 22 = 70

70-59 = 11

11 students brought both a pen and a pencil

Answer:

150.72 in³

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Now,

Volume of cylinder = πr²h

=> 3.14 × (4)² × 3

=> 3.14 × 16 × 3

=> 150.72 in³

Answer:

The correct answer is option 150.72 in³.

Step-by-step explanation:

Given :

To Find :

Using Formula :

\(\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}\)

\(\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}\)

Solution :

Firstly, finding the radius of cylinder by substituting the values in the formula :

\(\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}\)

\(\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}\)

\(\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}\)

\(\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}\)

\({\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}\)

Hence, the radius of cylinder is 4 in.

\(\rule{300}{1.5}\)

Now, finding the volume of cylinder by substituting the values in the formula :

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}\)

\(\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}\)

\(\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}\)

Hence, the volume of cylinder is 150.72 in³.

\(\rule{300}{1.5}\)

===========================================================

Explanation:

Start at the point (0,0) which is the origin. Move up 2 units then to the right 3 units to arrive at the next blue point (3,2). We see that

rise = 2

run = 3

slope = rise/run = 2/3

----------

If you want to use the slope formula, then you would say

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

m = (2 - 0)/(3 - 0)

m = 2/3

I used the two points (0,0) and (3,2). You could use any two points you like on this line.

Side note: The slope is positive because we are moving uphill as you move from left to right along this orange line.

The slope of the line p is given by 2/3.

The tangent value of the angle which the straight line makes with the positive X axis is called the slope of that particular straight line.

If s line passes through two points (a,b) and (c,d) then the slope of the line (m) is given by,

m = (d-b)/(c-a)

Here in the given figure we can see that the given line p passes through (3,2), (-3,-2) and the origin (0,0)

then taking any two points out of that three (3,2), (0,0) we get, the slope of p is given by,

m = (2-0)/(3-0) = 2/3

Hence slope of line p is given by 2/3.

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Answer:

0

Step-by-step explanation: Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20y' to each side of the equation.

15x + 20y + -20y = 0 + -20y

Combine like terms: 20y + -20y = 0

15x + 0 = 0 + -20y

15x = 0 + -20y

Remove the zero:

15x = -20y

Divide each side by '15'.

x = -1.333333333y

Simplifying

x = -1.333333333y

Answer:

I think this is the right answer

C=12

P=3

Answer:

A Margin of​ error : Generally margin can be defined as a statistical concept that informs the researcher or any person carrying statistical active the percentage by which his /her result will differ from the  real population value.

B Margin of error is used to establish a confidence​ interval by adding and  subtracting the statistical value (i.e  sample proportion or sample mean ) from the margin of error

C Generally the confidence interval tell the researcher the probability by which  a population parameter(sample proportion or sample mean) will fall between two set of values(Upper limit and  the lower limit )

Step-by-step explanation:

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm