Right triangle ABC is graphed in the xy coordinate plane with vertices at (0,0) , (5, 0) and (5, 12) If is the angle in the triangle at the origin, what is the cos(pi + theta)?

Answer:7y

Step-by-step explanation:

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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It takes the rocket 2 seconds to be 272 feet in the air

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

h(t) = -16t^2 + 128t +80

At 272 feet, we have

h(t) = 272

Substitute the known values in the above equation, so, we have the following representation

-16t^2 + 128t +80 = 272

Evaluate the like terms

So, we have

-16t^2 + 128t - 192 = 0

Solving using a graph, we have the smaller value of t to be

t = 2

Hence, the time to be 272 feet in air is 2 seconds

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The lower quartile is 13 (in minutes ) and the upper quartile is 27(in minutes) for the data collected by Ashley on number of minutes students ride the bus before getting to school.

Ashley has collected data on the number of minutes students ride the bus before getting to school as,

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

There are three types of quartile in data set as, first (or lower) quartile, second quartile (or median), and third (or upper) quartile.

The formula to calculate quartiles for ungrouped data are as follow,

Lower (or first) quartile = {(n +1)4} th term

where, n is the total number of observations in the data set, that is n = 11

Therefore, Lower (or first) quartile = {(11 +1)4} th term

= (3)rd term = 13

Therefore, Upper (or third ) quartile = {3(n +1)/4} th term

= { 3(11+ 1)/4} th term

= 9th term = 27

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The given question is incomplete, the complete question is

"Already Ashley collects data on the number of minutes students ride the bus before getting to school.

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

What is the lower and upper quartile."

A cylinder and cone having the same volume. The cylinder having radius x and height y. The cone has radius 12x. Then, the height of the cone in terms of y is 48h.

The volume of the cylinder will be given by the formula V_cylinder = [tex]πr^{2h}[/tex], where r is radius and h is height. The volume of a cone is given by the formula V_cone = (1/3)[tex]πr^{2h}[/tex], where r is the radius and h is the height.

Since the cylinder and cone have the same volume, we can set their volume formulas equal to each other and solve for the height of the cone;

[tex]πX^{2y}[/tex] = (1/3)[tex]π(12X)^{2h}[/tex]

Simplifying, we get;

[tex]πX^{2y}[/tex] = [tex]π144X^{2h/3}[/tex]

Dividing both sides by [tex]πX^{2}[/tex], we get;

y = 144h/3

Simplifying further, we get;

y = 48h

Therefore, the height of the cone in terms of y is h = (1/48)y.

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Answer:

The answer is 60

Step-by-step explanation:

Solution:

[tex] \frac{4}{?} = \frac{1}{15} [/tex]

Hope you understand

The minimum dimensions for the cabinet would be 60cm (width) x 50cm (depth) x 140cm (height).

What is coordinate geometry?

Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes and figures using the coordinate system. It is also known as analytic geometry or Cartesian geometry.

To install an ironing board cabinet in a 60cm wide space, the minimum dimensions required for the depth and height of the cabinet would be:

Depth: The cabinet needs to be deep enough to accommodate the ironing board base, which is 38cm wide. Adding a few centimeters for clearance and ease of use, a depth of at least 50cm would be recommended.

Height: The cabinet needs to be tall enough to fit the entire height of the ironing board, which is 135cm. Adding a few centimeters for clearance and to ensure that the board fits comfortably inside the cabinet, a height of at least 140cm would be recommended.

Therefore, the minimum dimensions for the cabinet would be 60cm (width) x 50cm (depth) x 140cm (height).

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Answer:

The prime factorization of 726 is 2 × 3 × 121 or 2 × 3 × 11². Simplifying the square root of 726, we can take the square root of each factor and simplify as follows:

√726 = √(2 × 3 × 11²) = √2 × √3 × 11 = 11√6

Therefore, the simplified form of the square root of 726 is 11√6.

Step-by-step explanation:

Answer: The square root is 26.9443871706 but simplied is 11/6

Step-by-step explanation:

you would write the number on the paper and then

The speed of the wind is approximately 18.8 km/h.

Now, let's use the information we have to set up some equations. We know that the distance the airplane can fly with the wind is 1062 km, and that it covers this distance in the same amount of time as it takes to fly 738 km against the wind. We can use the formula:

distance = speed x time

to write equations for these situations. For example, when flying with the wind:

1062 = (200 + w) x time

And when flying against the wind:

738 = (200 - w) x time

Now, we can solve for the unknown variable, which in this case is the speed of the wind. Let's rearrange the first equation to solve for time:

time = 1062 / (200 + w)

And the second equation:

time = 738 / (200 - w)

Since the time for each trip is the same, we can set these two expressions equal to each other and solve for w:

1062 / (200 + w) = 738 / (200 - w)

To solve for w, we can cross-multiply and simplify:

1062(200 - w) = 738(200 + w)

212400 - 1062w = 147600 + 738w

3442w = 64799

w = 18.8

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Answer:

Step-by-step explanation:

This looks like a pyramid problem.  The sum of the 2 numbers in the bottom boxes must equal the number in the top box.  All you have to do to find the missing number is subtract the bottom number from the top number.

a.  200 - 30 = 170

b. 200 - 30 = 130

c. 200 - 105 = 95

d. 200 - 85 = 115

The probability that a positive integer divisor of 12! is a perfect square can be expressed as 18/415. The sum of the numerator and denominator is 433.

We can start by finding the prime factorization of 12! which is

12! = 2¹⁰ × 3⁵ × 5² × 7 × 11

To find the number of divisors of 12!, we add 1 to each exponent and multiply them together:

Number of divisors = (10+1) × (5+1) × (2+1) × (1+1) × (1+1) = 3320

Now, we want to find the probability that a randomly chosen divisor of 12! is a perfect square.

A positive integer is a perfect square if and only if each of its prime factors has an even exponent.

Therefore, we need to count the number of divisors of 12! that have each prime factor with an even exponent.

For 2, there are 6 choices: 0, 2, 4, 6, 8, 10

For 3, there are 3 choices: 0, 2, 4

For 5, there are 2 choices: 0, 2

For 7, there are 2 choices: 0, 1

For 11, there are 2 choices: 0, 1

The total number of divisors of 12! that are perfect squares is the product of these choices

6 × 3 × 2 × 2 × 2 = 144

Therefore, the probability that a randomly chosen divisor of 12! is a perfect square is

P = 144/3320 = 18/415

The numerator and denominator have no common factors, so m=18 and n=415. Thus, m+n=433.

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Answer:

The line that shows a slope of Zero is Graph D

Answer:  30 in

Step-by-step explanation:

Multiply the length and width and divide the number you get from 2175.

Brainliest Please!

Answer:

52%

Step-by-step explanation:

Since the question asks about tails, we don't need the information about heads.

So out of 200 flips, 104 were tails. If we put 104 out of 200 in fraction form, you get;

104

-----

200

Now we just divide;

104/200 = 0.52, also known as 52%

Please Mark brainliest! :)

The line of reflection are across the y-axis.

Given data is,

Let the polygon be represented as VWXYZ

Now , the coordinates of the polygon is given as

The coordinate of V =  ( -8 , 2 )

The coordinate of W =  ( -8 , 0)

The coordinate of X =  ( -5 , -7 )

The coordinate of Y =  ( - 2 , 0 )

The coordinate of Z =  ( - 2 , 2 )

Now , the translated polygon is having the coordinates as

The coordinate of V' =  ( -8 , 8 )

The coordinate of W =  ( -8 , 6)

The coordinate of X =  ( -5 , 1 )

The coordinate of Y =  ( - 2 , -6 )

The coordinate of Z =  ( - 2 , -8 )

Clearly, x coordinate will be same but y coordinate will be change.

Hence, The line of reflection are across the y-axis.

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Answer: y = -3

Step-by-step explanation:

Yes, the sample size condition for conducting a hypothesis test for a population proportion is satisfied.

The minimum sample size required for a hypothesis test for a population proportion is n*p>=10 and n*(1-p)>=10, where n is the sample size and p is the hypothesized population proportion. In this case, the sample size is 80 and the hypothesized population proportion is 0.173. Therefore, n*p=80*0.173=13.84 and n*(1-p)=80*0.827=66.16, both of which are greater than or equal to 10. Therefore, the sample size condition is satisfied. Since both of these values are greater than or equal to 10, the sample size condition is satisfied.

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Answer

Enter 3 in the green box

Further explanation

It tells us to plug in the value of x, which is 3

so we have

[tex]\sf{y=2*3^3}[/tex]

Then you do exponents

[tex]\sf{y=2*27}[/tex]

Then you multiply

[tex]\sf{y=54}[/tex]

For a monthly incomes of trainees at a local mill are normally distributed, the number of trainees earn less than $3970 a month is equals to 168.

The monthly incomes at a local mill are normally distributed. Sample size,n = 200

Mean of Monthly income, = $3650

Standard deviations of income, = $320

We have to determine value of trainees earn less than $3970 a month. Using the Z-Score formula, [tex]z = \frac{ X - \mu}{ \sigma} [/tex]

where, X--> observed value

σ -> standard deviations

μ --> mean value

Here, X = $3970,

Substitute all the known values in above formula, [tex]z= \frac{3970- 3650}{320}[/tex]

[tex]= \frac{320}{ 320} [/tex]

=> z = 1

Now, the probability value for trainees earn less than $3970 a month, P( X < 3970) = [tex]P (\frac{ X - \mu}{\sigma}< \frac{3970 - 3650}{320}) [/tex]

= P ( z< 1)

Using distribution table, value p( x< 1) is 0.8431. Now, the excepted value for trainees earn less than $3970 a month

= np = 200× 0.8413 = 168.21 ~ 168.

Hence, required value is 168.

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The condition where the manufacturer tests every 500th smartphone off the production line, is the method that will produce the most representative sample of the population of smartphones made by this company. Therefore, the correct answer is option D.

This method involves selecting smartphones at regular intervals, regardless of when they are produced or what day of the week it is. By selecting every 500th smartphone, the sample will be more likely to represent the entire smartphone population produced by the company. This method is also efficient and cost-effective since the manufacturer does not need to test every single smartphone.

The other options have potential drawbacks that may make them less representative.

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Answer:

$1.93

Step-by-step explanation:

38.61 x 5 % = 1.93

calculate

Answer: $1.93

Step-by-step explanation:

    Since we are paying a 5% tip, we will find 5% of the total bill.

    A percent divided by 100 becomes a decimal.

5% / 100 = 0.05

    Next, "of" means multiplication in mathematics.

0.05 * 38.61 = $1.93

b) 50 hectares of white spruce trees are required to make the paper.

This estimate is based on the assumption that a large metropolitan American newspaper prints about 500,000 copies on an average weekday and each newspaper requires roughly 0.1 square meters of paper. To produce 500,000 newspapers, we need about 50,000 square meters or 5 hectares of paper. However, it takes about 10 trees to produce one ton of newsprint paper, so 5 hectares of paper require approximately 500 tons of paper.

Thus, it would take about 50 hectares of white spruce trees to produce enough paper for a typical midweek issue of a large metropolitan American newspaper for one day. It's worth noting that this is just an estimate and the actual number could vary depending on the newspaper's circulation, page count, and paper size.

The answer is approximately 50 hectares of white spruce trees.

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Answer:answer 2

Step-by-step explanation:

2

Using LCM we would need to purchase 4 packs of hamburgers and 5 packs of buns to have the same amount of both.

To solve this word problem and find the smallest amount of hamburgers and buns you could purchase to have the same amount of both, we need to determine the least common multiple (LCM) of the pack sizes (10 for hamburgers and 8 for buns).

Step 1: List the multiples of each pack size.
- Multiples of 10: 10, 20, 30, 40, 50, ...
- Multiples of 8: 8, 16, 24, 32, 40, ...

Step 2: Identify the least common multiple.
- The LCM of 10 and 8 is 40.

So, the smallest amount of each you could purchase to have the same amount of hamburgers and buns is to buy 4 packs of hamburgers (4 x 10 = 40) and 5 packs of buns (5 x 8 = 40).

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By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.

To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.

The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.

Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.

This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.

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If Jane and Sarah share an amount of £63 and Jane receives "5/9" of  money, then the amount of money Sarah receives is £28..

The total amount that needs to be shared between Jane and Sarah is = £63,

We know that , Jane receives "5/9" of the total amount,

Which means , Jane receives = (5/9)×63 = £35,

The total-sum of money is = £63,

So, We can write,⇒ Total money = Jane + Sarah,

Substituting the values ,

We get,

⇒ 63 = 35 + Sarah,

⇒ Sarah = 63 - 35 = £28.

Therefore, Sarah's share of money is = £28.

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measure of arc AB = 2 × 82

                               = 164

It is a rule there isn't much to say :>

Applying the intersecting chords theorem, the length of segment CE is calculated as: 15.

Based on the intersecting chords theorem, we can create the following equation using the given information of the segments formed by the intersecting chords in the circle given:

AE * EB = CE * ED

Given the following:

AE = 21,

EB = 5,

ED = 7

CE = ?

Plug in the values:

21 * 5 = CE * 7

105 = CE * 7

105/7 = CE

CE = 15

The length of segment CE is: 15.

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By using the rotated image's new location, the new points are:

A (2, 2)    A' (2, -2).

B (8, 6)    B' (6, -8).

C (6, 2)    C' (2, -6).

A (2, -4)   A' (-2, 4).

B (8, -2)   B' (-8, 2).

C (7, -7)   C' (-7, 7).

A (-6, -5)  A' (5, 6)

B (0, -2)   B' (2, 0)

C (-2, 9)  C' (9, -2).

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise to the coordinate of triangle ABC as follows;

(x, y)                               →            (y, -x)

Coordinate A = (2, 2) → A' = (2, -(2)) = (2, -2)

Coordinate B = (8, 6) → B' = (6, -(8)) = (6, -8)

Coordinate C = (6, 2) → C' = (2, -(6)) = (2, -6)

Also, we would apply a rotation of 180° clockwise to the coordinate of triangle ABC as follows;

(x, y)                               →            (-x, -y)

Coordinate A = (2, -4) → A' = (-2, -(-4)) = (-2, 4)

Coordinate B = (8, -2) → B' = (-8, -(-2)) = (-8, 2)

Coordinate C = (7, -7) → C' = (-7, -(-7)) = (-7, 7)

Lastly, we would apply a rotation of 270° clockwise to the coordinate of triangle ABC as follows;

(x, y)                               →            (-y, x)

Coordinate A = (6, -5) → A' = (-(-5), 6) = (5, 6)

Coordinate B = (0, -2) → B' = (-(-2), 0) = (2, 0)

Coordinate C = (-2, -9) → C' = (-(-9), -2) = (9, -2).

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