14. An engineer is designing a circular base for a
plastic cup holder that will go in a new
car. The base of the cup holder has a
radius of 5 centimeters,
Which measurement is closest to the
circumference of the base in
centimeters?

According to the given statements,

The relationship between Distance and weight is Inversely proportional.

If one variable rises, the other will fall; conversely, if one variable falls, the other will rise. These are inversely proportional variables or quantities. In other words, they are said to be inversely proportionate when an increase in one quantity causes a reduction in the other and vice versa.

According to the given values,

Here, distances are given as - (ft) 12, 24, 36, 48, 60

and Weight (Lb) are given as

7500,3750, 2500, 1875, 1500

When distance is small, the weight is high.

Distance ∝ 1/Weight

So, The relationship between distance and Height will be inversely proportional.

To know more about inversely proportional, visit

https://brainly.com/question/1266676

#SPJ9

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

To learn more about the confidence interval from the given link

https://brainly.com/question/26658887

#SPJ4

Answer:

it is a

171 degrees

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Complete question:

All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?

Answer:

1 / 24

Step-by-step explanation:

Number of Ralph's children = 6

Number of Lynn's children = 4

If Ralph's land were divided equally among his six children, the fraction each child gets equals

Proportion of land / number of children

= 1 / 6

Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.

If 1/6 is shared equally between her four children, then ;

Her portion ÷ 4

(1/6) ÷ 4

(1/6) × (4/1)

= 1/ 24

Each of Lynn's children gets 1 / 24

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

Answer:

16*12(inches in a foot)=

192 inches in 16 feet

then we divide by 9

192/9=

21.3333333333

so she can make 21

Hope This Helps!!!

In the given case, we can conclude that the Krystina can make a maximum of 21 bracelets.

To find the maximum number of bracelets Krystina can make, we need to determine how many nine-inch pieces can be cut from her 16 ft of string. First, we need to convert the 16 ft to inches.

Since there are 12 inches in a foot, 16 ft is equal to 16 x 12 = 192 inches. Then, we divide the total inches by the length of each bracelet, which is 9 inches: 192 inches / 9 inches = 21.33 bracelets.

Since we cannot have a fraction of a bracelet, Krystina can make a maximum of 21 bracelets.

Learn more about the topic of bracelets here:

https://brainly.com/question/26979579

#SPJ3

Answer:

A

Step-by-step explanation:

3x9 = 27

27+5 = 32

32/9 = 3.5 (w/dash above head)

Step-by-step explanation:

For table 1,

x =  20     36    56     80

y =  4        6       8       10

Taking 20/4 = 5

36/6 = 6

56/8 = 7

80/10 = 8

The value of x/y is not same in any of the cases. The constant of proportionality is different. It means x and y for this table is not proportional.

For table 2,

x = 28    42    56    70

y = 20    30    40    50

Taking 28/20 = 1.4

42/30 = 1.4

56/40 = 1.4

70/50 = 1.4

The value of x/y is same in each case. The constant of proportionality is same i.e. 1.4 in each case.

\(\dfrac{x}{y}=1.4\\\\\dfrac{y}{x}=\dfrac{1}{1.4}\\\\\dfrac{y}{x}=\dfrac{5}{7}\\\\y=\dfrac{5}{7}\times x\)

So, y is 5/7 times of the x.

Answer:

y = x - 5

Step-by-step explanation:

Using the 'y=mx+c' form,

Since m = 1,

y = x + c

Substituting (1, -4) into the above equation:

-4 = 1 + c

c = -5

Hence,

y = x - 5

Feel free to mark this as brainliest :)

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

Visit here to learn more about probability:

brainly.com/question/13604758

#SPJ11

The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

https://brainly.com/question/32117953

#SPJ12

We have the next function

First, we need to calculate the derivate of the function

the critical points are when the derivate is 0 or can be calculated

in this case, x=-5 is a critical point and it doesn't belong

to the interval given therefore the number of critical points is 0

Answer:

35

Step-by-step explanation:

i did the quiz

Answer:

35

Step-by-step explanation:

Answer:

1,000

Step-by-step explanation:

i to the test djdjsjsjsj

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

Learn more about  Constant Rate:

https://brainly.com/question/13659182

#SPJ4

The standard deviation of the population affects the width of the confidence interval for the population mean. A larger standard deviation results in a wider confidence interval, while a smaller standard deviation results in a narrower confidence interval.

The standard deviation of the population plays a crucial role in determining the width of the confidence interval for the population mean. The formula for the confidence interval for the population mean is:

CI = X ± Z × (σ / sqrt(n))

where:

CI is the confidence interval

X is the sample mean

Z is the Z-score corresponding to the desired level of confidence

σ is the standard deviation of the population

n is the sample size

As you can see from the formula, the width of the confidence interval is directly proportional to the standard deviation of the population. The larger the standard deviation, the wider the confidence interval. This means that if the standard deviation of the population is large, then we need a larger sample size or a lower confidence level to obtain a narrower confidence interval. On the other hand, if the standard deviation of the population is small, we can obtain a narrower confidence interval with a smaller sample size or a higher confidence level.

for such more question on standard deviation

https://brainly.com/question/475676

#SPJ11

Answer:

Hi nice girl follow me I love you

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

Explanation:

It is a function because any x input leads to exactly one y output. The graph visually passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the cubic curve, so that's why the graph passes the test, and visually confirms we have a function.

------------------

Extra info:

Something that isn't a function is \(y^2 = x\) because it graphs a sideways parabola in which it is possible to draw a vertical line through more than one point on the curve. Two points on this parabola are (9, 3) and (9, -3). The input x = 9 corresponds to more than one output y = 3 and y = -3 simultaneously.

In this stem and leaf plot, the median of the data is 6.15 and the range is 8.3.

To find the median and range of the data from the stem and leaf plot, we need to first arrange the data in ascending order.

Arranging the data in ascending order:

1.3, 1.5, 3.2, 3.6, 3.9, 5.4, 5.7, 5.7, 5.8, 5.8, 6.0, 6.3, 6.3, 6.3, 7.4, 7.4, 7.5, 7.6, 8.0, 8.1, 8.1, 8.4, 9.5, 9.6

The median is the middle value of the data set. Since there are 24 values, the median is the average of the 12th and 13th values, which are 6.0 and 6.3. Therefore, the median is (6.0 + 6.3) / 2 = 6.15.

The range is the difference between the largest and smallest values in the data set. The largest value is 9.6 and the smallest value is 1.3. Therefore, the range is 9.6 - 1.3 = 8.3.

Thus, the median of the data is 6.15 and the range is 8.3.

For more details regarding median, visit:

https://brainly.com/question/11237736

#SPJ1

In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

Learn more about Stackelberg model here: brainly.com/question/31604515

#SPJ11

Answer:

The answer is 10

Step-by-step explanation:

Answer:

Answer is 10!

Step-by-step explanation:

The theoretical probability of selecting a green block is 0.384 or 38.4% .

To find the theoretical probability of selecting a green block, we need to divide the number of green blocks by the total number of blocks in the bag.

Total number of blocks = 36 (red) + 48 (green) + 22 (yellow) + 19 (purple) Total number of blocks = 125

P ( green ) = Number of green blocks / Total number of blocks

P ( green ) = 48 / 125

P ( green ) = 0.384

Therefore, the theoretical probability of selecting a green block is 0.384 or 38.4% .

To know more about probability click here :

https://brainly.com/question/33468532

#SPJ4

Approximately 8.195 liters of water would be required for the hiker to walk 25 kilometers in Death Valley and maintain good hydration.

To calculate the approximate number of liters of water required for a hiker to walk 25 kilometers in Death Valley and stay healthy, we need to convert the distance from kilometers to miles and then use the given ratio of one quart of water for every two miles traveled on foot.

To convert kilometers to miles, we can use the conversion factor of 1 kilometer = 0.621371 miles.

Thus, 25 kilometers is approximately 15.534 miles (25 × 0.621371).

According to the given ratio, the hiker requires one quart of water for every two miles traveled on foot.

Since one quart is equivalent to 0.946353 liters, we can calculate the approximate number of liters of water required for the hiker as follows:

Number of liters = (Number of miles traveled / 2) × (1 quart / 0.946353 liters)

For the hiker walking 15.534 miles, the approximate number of liters of water required can be calculated as:

Number of liters = (15.534 / 2) × (1 quart / 0.946353 liters) = 8.195 liters

Therefore, approximately 8.195 liters of water would be required for the hiker to walk 25 kilometers in Death Valley and maintain good hydration.

It is important to note that this is an approximation and actual water requirements may vary depending on individual factors and conditions.

Learn more about ratio here:

https://brainly.com/question/12024093

#SPJ11

The number of vertical angles are 6

The number of linear angles are 6

The value of x is 20

Vertical angles are defined as a pair of non-adjacent angles that are formed by the intersection of two straight lines.

Four angles are created from this intersection.

Linear angles are defined as those angles that are formed when two lines intersect each other at a single point.

Note that supplementary angles are angles that sum up to 180 degrees.

Then, we have;

<1 + <5 = 180

substitute the angles

2x + 10 + 5x + 30 = 180

collect the like terms

7x = 180 -40

7x = 140

Make 'x' the subject

x = 20

Learn about supplementary angles at: https://brainly.com/question/2046046

#SPJ1

Answer:

206.

Step-by-step explanation:

Each person will receive 618 / 3

= 206 cookies.

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

if you could fly like a bird, your trip would be approximately 3.9 miles shorter than the route you currently have to take (9 - 5.1 = 3.9).

If you were able to fly like a bird, you could take a direct path from your house to the grocery store, which would be shorter than the route you currently have to take.

By looking at the given directions, we can see that you have to travel a total of 1+1+5+2=9 blocks, with each block being a mile long, so your total distance traveled is 9 miles.

If you could fly like a bird, you could take a straight-line path from your house to the grocery store, which would be the hypotenuse of a right triangle with sides of 1 block and 5 blocks. Using the Pythagorean theorem, we can calculate that the distance of the hypotenuse would be the square root of\((1^2 + 5^2)\) = square root of 26, which is approximately 5.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ4

Ella's Grade: 15

Minh's Grade: 16

Step-by-step explanation:

If each grade has 20 girls in the grade, then that implies effectively that the ratios would apply via fractions, which are 3:4 and 4:5. As such, take both Fractions and increase them both to 20: 15:20 and 16:20.