a gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. the gardener has enough material to build a 300-foot fence to enclose the garden. he also has enough roses to fill a 5,200 square foot planter.

A correlation score of 0 indicates that there is no link between the two variables. This does not suggest that there is no relationship; rather, there is not a linear link.

The linear correlation coefficient is a statistic calculated from provided data that assesses the strength of the linear relationship between two variables: x and y. The direction of the linear link between x and y is indicated by the sign of the linear correlation coefficient. When r (the correlation coefficient) is close to 1 or -1, the linear link is strong; when it is close to 0, it is weak.

Even for modest datasets, the linear correlation coefficient computations might take too long to complete manually. As a result, data are frequently entered into a calculator or, more typically, a computer or statistics software to determine.

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The computed mean is 58.8 degrees based on frequency distribution.

To find the mean of the data summarized in the frequency distribution, we first need to find the midpoint of each class interval.

Midpoint of 40-44 = (40 + 44) / 2 = 42
Midpoint of 45-49 = (45 + 49) / 2 = 47
Midpoint of 50-54 = (50 + 54) / 2 = 52
Midpoint of 55-59 = (55 + 59) / 2 = 57
Midpoint of 60-64 = (60 + 64) / 2 = 62

Next, we multiply each midpoint by its corresponding frequency and add up the results.

(2 x 42) + (6 x 47) + (12 x 52) + (7 x 57) + (3 x 62) = 1764

Finally, we divide this sum by the total number of values (which is the sum of the frequencies).

2 + 6 + 12 + 7 + 3 = 30

1764 / 30 = 58.8

The computed mean is 58.8 degrees.

When we compare this to the actual mean of 57.8 degrees, we see that the computed mean is slightly higher. This may be due to the fact that there are more values in the higher end of the distribution (i.e. 50-54 and 55-59) compared to the lower end (i.e. 40-44 and 45-49).

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Answer:

6b + 5n = 101

Step-by-step explanation:

I hope this helps!

Answer:

6b+5n = 101 because if you look at each equation and back at the question you’ll understand that it’s asking for 6 bracelets plus 5 necklaces for a total of 101 dollars... hope this helped...and I need brainliest thx

Step-by-step explanation:

8.5 units³

Step-by-step explanation:

The volume can be found as the product of the two given values.

In fact, for any right angled 3D figure, we can find its volume as area of one face times the height or length.

Thus, we get volume as

V = 4 × 17/8 (converting 2 1/8)

V = 17/2 units³ or 8.5 units³

Hope this helps!

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer:

A fluid ounce (fl oz) is equivalent to 0.0625 pints, so to convert fluid ounces to pints, we divide the number of fluid ounces by 0.0625.

24 fl oz / 0.0625 pints/fl oz = 384 pints/fl oz * 24 fl oz = 384 / 16 = 24 pints

So the can contains 24 pints of fruit juice.

Step-by-step explanation:

Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99

Answer:

leave at  1:30 PM

Step-by-step explanation:

10 mph 40 hours 6600/1200 5.5 hr  40/15 2 hr 40 mins 5.5 -.5 =

After two hours there at the meeting place, the helicopter must depart at 1:30 pm to join the boat.

Speed is the rate an object travels in a predetermined period of time.

Its speed is expressed in km/h. 

As per the given information in the question,

If the boat goes to the station ,

Speed of the boat = 10mph

it will take 400/10 = 40 hours.

The helicopter has, 6600 lbs of fuel.

It will take 30 minutes to clean the fisherman and an additional hour to get enough fuel.

1.5 × 1200 = 1800 lbs of fuel.

So, the amount of fuel helicopter now has

6600 - 1800

= 4800 lbs of fuel.

This will allow it to fly for 4 hours as:

4800 lbs/1200 lbs per hour, It can only travel at 150 mph for two hours one way.

= 300 miles distance from the station.

The boat is available at 400 miles, and its maximum flight time at 150 mph is two hours going one way, which is 100 miles from where it is now,

So,

100/10 = 10 hours, the journey to the meeting location will take the boat ten hours.

To reach the boat, which will require 10 hours, the chopper must take off after 8 hours since it will take 2 hours.

So 8 hours of time from 5:30 am will be equal to 1:30 pm.

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Your question seems incomplete, probably the complete question is:

A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nearest to the boat, but you are 400 miles away. The boat travels at a rate of 10 mph. It is 5:30 A.M. You have a helicopter that can hold 6600 lbs. of fuel, consumes 1200 pounds of fuel an hour, and travels 150 mph. However, you need to save a minimum of 1 hour worth of fuel for landing problems at the Coast Guard station, and you need to have 30 minutes’ worth of fuel to remove the crewman from the boat. You have to create a plan for extracting the crew member. When would you leave and why? Fully explain your answer.

Answer:

what is it dear

Step-by-step explanation:

so that i can help you

Answer:

12.20

I did the math and got 12.20 if this is wrong or you don't get it tell me

To calculate the P-value for testing the hypothesis that the population standard deviation σ = 15.7, we can use the chi-square distribution.

Given: Sample size n = 5. Sample standard deviation s = 10.264. To calculate the test statistic, we use the chi-square test statistic formula:

χ² = (n - 1) * (s² / σ²). Substituting the values:χ² = (5 - 1) * ((10.264)² / (15.7)²) = 4 * (0.67009 / 246.49) = 0.010848. To find the P-value, we need to calculate the probability of obtaining a test statistic value as extreme as or more extreme than the observed value, assuming the null hypothesis is true. Since we have a one-tailed test with the alternative hypothesis σ < 15.7, we look for the area to the left of the observed test statistic in the chi-square distribution with (n - 1) degrees of freedom.

Using a chi-square distribution table or a statistical software, we find that the P-value corresponding to χ² = 0.010848 and (n - 1) = 4 is approximately 0.211. Therefore, the correct answer is: a. The P-value 0.211 is not significant and does not strongly suggest that σ = 15.7.

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Answer:

He would be making 544.8$ each week

Step-by-step explanation:

Answer:

52 in approx

Step-by-step explanation:

Given data

Length of TV= 42 in

Widht of TV= 31 in

Required

The diagonal of the TV

Applying the Pythagoras theorem

D^2= L^2+W^2

D= √L^2+W^2

D= √42^2+31^2

D=√1764+961

D=√2725

D=52.20 in

Hence the diagonal of the Tv is 52 in approx

Answer:

The IQR of 13 is the most accurate measure of variability to use to represent the data. The range can give us an idea of the spread of the data, but since the data is skewed with a majority of donations at $20, the IQR will give us a better understanding of the central tendency of the donations. The IQR takes into account the middle 50% of the data, which is more relevant in this case. Additionally, the IQR is less sensitive to extreme values or outliers, which is useful when dealing with a skewed dataset.

The number of lengths required by the fabrication team for each workbench is 2.5 units.

The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric form or object. For instance, the length and width of a rectangle define its dimensions. In the International System of Quantities, length is also a quantity having the dimension distance.

The total length of the workbench is given as 589.95.

Given that, 20 ft lengths are used for fabrication.

Thus, the number of lengths required are:

N = 589.95/ 20 (12) = 2.457 = 2.5

Hence, the number of lengths required by the fabrication team for each workbench is 2.5 units.

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The complete question is:

The Intermediate Value Theorem concludes that for a continuous function on a closed interval, if there are two points in the interval such that the function takes on two different values, then there must be at least one point in the interval where the function takes on every value between those two values.

Assuming its assumptions are met, the Intermediate Value Theorem (IVT) concludes that:

If a continuous function, f(x), is defined on a closed interval [a, b], and k is any value between f(a) and f(b), then there exists at least one value c in the interval (a, b) such that f(c) = k.

In other words, if a function is continuous on a closed interval and k is a value between the function's values at the endpoints of the interval, the function must take on the value k at least once within that interval. This theorem is particularly useful in determining the existence of roots or zeroes for a function in a specified interval.

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Answer:

$68.20 divided by 3.1 = $22

Step-by-step explanation:

The probabilities values in the questions are 7/25 and 7/13

The probability that both students are girls

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

Class = 26

Girls = 14

Boys = 12

The probability that the students are girls is calculated as

P = Girl/Class * (Girl - 1)/(Class - 1)

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

P = 14/26 * 13/25

Evaluate

P = 7/25

This is calculated as

P(First given Second) = (Both girls)/P(Second is girl)

So, we have

P(First given Second) = (7/25)/(13/25)

Evaluate

P(First given Second) = 7/13

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Answer:

-5x + 13xy -7

Step-by-step explanation:

trinomial means 3 terms

degree 2 means the highest power  of the variables when added together is 2

constant -7 means  the constant is -7

-5x + 13xy -7

3 terms

xy = degree 2

-7 is the constant

Hi, I'm cookie monster:

A trinomial is an expression with 3 terms, so we can eliminate choice C and D right away. A degree is the highest exponent in the expression and there isn't even an exponent of 2 in choice B. So, Choice A is corrrect.

Now, I better eat some more cookies before I eat my computer.

To calculate the probability that at least 30 of the women in the sample will not meet the age requirement, we need to use the binomial distribution formula:

P(X >= 30) = 1 - P(X < 30)

where X is the number of women who do not meet the age requirement, and P(X < 30) is the cumulative probability of X being less than 30.

The probability of a woman not meeting the age requirement is given as 0.2, so the probability of a woman meeting the age requirement is 0.8. We are sampling 200 women, so the number of women who do not meet the age requirement follows a binomial distribution with n = 200 and p = 0.2.

Using a binomial calculator or software, we can find that P(X < 30) = 0.1656. Therefore, the probability of at least 30 women not meeting the age requirement is:

P(X >= 30) = 1 - P(X < 30) = 1 - 0.1656 = 0.8344

Therefore, the probability that at least 30 of the women in the sample will not meet the age requirement is 0.8344, or approximately 83.44%.

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Answer: 2.029%, 2 1/8%, 2.4%, 2.499%, 2 1/2%.

Step-by-step explanation:

Answer the following interest rates in order from lowest to highest.

2.029%, 2 1/8%, 2.4%, 2.499%, 2 1/2%.

Below are what the rates are equal to.

2.029, 2.125, 2.400, 2.499, 2.500

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer:

2

Step-by-step explanation:

An alpha particle with a charge of +2e and a mass of 6.64 × 10^-27 kg enters an electric field of 1.2 × 10^3 N/C. The alpha particle is accelerated from rest through a distance of 3.7 cm.

Find the speed of the alpha particle when it emerges from the electric field and the time taken to travel the distance.   More than 100 words.Electric fields accelerate charged particles. Alpha particles have a charge of +2e and a mass of 6.64 × 10^-27 kg, where e is the fundamental unit of charge.

The electric field that is responsible for the acceleration of the alpha particle can be calculated as follows:F = EqWhere F is the electric force, E is the electric field, and q is the charge of the particle.

The electric field can, therefore, be calculated as:E = F/qE = (2 × 1.6 × 10^-19) / (6.64 × 10^-27)E = 1.2 × 10^3 N/CThe alpha particle is accelerated from rest, meaning that its initial velocity is zero.  

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Answer:

t2 = 52.8 hours

it will take 52.8 hours if its flow is reduced to 5 litres per minute.

Step-by-step explanation:

The volume of the swimming pool can be written as;

Volume V = flow rate × time

V = R×t

V = R1×t1 = R2×t2

R1×t1 = R2×t2

t2 = R1×t1/R2 ........1

Given;

Flow rate R1 = 12 litres per minute

Flow rate R2 = 5 litres per minute

time t1 = 22 hours

Substituting the given values into equation 1;

t2 = R1×t1/R2 = 12×22/5

t2 = 52.8 hours

it will take 52.8 hours if its flow is reduced to 5 litres per minute.

The solution to this question is  27 units the perimeter of kite OBDE.

The perimeter of a shape is the entire length of the shape's boundary as used in geometry. A form's perimeter can be calculated by adding the lengths of all of its sides and edges. In order to calculate it, linear distances such as centimeters, meters, inches, or feet are used.

Here

This is because 15x15 =225

8x8 = 64

225+64=289 and

the square root of 289 is 17 and that is the diameter of the circle and the hypotenuse of the triangle and since the kite has two congruent sides which are both radii or  can be written as half of a diameter times two would be the same as the length of the diameter which is17+the two bottom sides (which are both 5 and 5 )

So 5+ 5 = 10 and

10 + 17 =27 or the perimeter of the kite.

Therefore ,the perimeter of kite OBDE is 27 units.

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Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.

Probability of getting even number is

3/6 = 0.5

i.e. 50%

Out of 40 rolls there are 50% chances to get even number. i.e.

50 × 1/100 × 40 = 20

Thus 20 is the answer,

It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.

57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.

If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

So, I think it really depends on what exactly you mean by likely.

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