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Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = [tex]4 \times Side[/tex]

We are given that A garden is in the shape of a square with a perimeter of  56 feet.

So,[tex]4 \times side = 56[/tex]

Side =[tex]\frac{56}{4}=14 feet[/tex]

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = [tex]4 \times side = 4 \times 18 = 72 feet[/tex]

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =[tex]56 \times 1.21=67.76[/tex]

Cost of fencing 72 feet = [tex]72 \times 1.21=87.12[/tex]

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

Answer:

20/27 or 0.74

Step-by-step explanation:

The total number of people is: 2+6+5+14 = 27

Total number of people that don't have a cat is: 6+14 = 20

20/27 = 0.74

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]

[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]

[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]

[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]

[0.436; 0.784]

I hope this helps!

Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:

[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]

For the intermediate soil, omitting the high outlier of 4.26, we have that:

[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]

The distribution of the decrease has mean and standard deviation given by:

[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]

[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.

Then:

[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]

[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]

The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

A similar problem is given at https://brainly.com/question/15180581

Answer:

2.4

Step-by-step explanation:

First we need to find the mean

Add up all the number

(10+ 7+ 1+ 6+ 7+ 9+ 8+ 10+ 2+ 5)/10

65/10 = 6.5

Then find the absolute difference from each point and the mean and sum them together  and divide by the number of points

((10-6.5) + (7-6.5) +(6.5- 1) +(6.5-6) + (7-6.5)+( 9-6.5)+( 8-6.5)+ (10-6.5)+(6.5- 2)+(6.5- 5)) /10

24/10

2.4

Answer:

b) 2.4

Step-by-step explanation:

Mean = (10+7+1+6+7+9+8+10+2+5)/10

= 65/10 = 6.5

Sum|x-mean| = 3.5+0.5+5.5+0.5+0.5+2.5+1.5+3.5+4.5+1.5 = 24

MAD = 24/10 = 2.4

Answer:

what do u mean

Step-by-step explanation:

Hello!

[tex]\boxed{ \bf The~volume~is~29.32~cm^3.}[/tex]

___________________________________________________

To find the volume of the cone, we must use a certain formula:

V = [tex]\frac{1}{3}[/tex]πr²h

Let's plug in our values:

V = [tex]\frac{1}{3}[/tex]π(2)²(7)

V =  [tex]\frac{1}{3}[/tex]π(4)(7)

V =  [tex]\frac{1}{3}[/tex]π(28)

V = 29.32

Answer:

Part A) shorter base = 6 yd      longer base = 8 yd    

Part B) C. 42 yds²

Step-by-step explanation:

Part A) The width and the length of the shorter side are the same, at 6 yds each. The longer base is 8 yds because there is a spot of 1 yd on both sides of the shorter side, making the longer side.

Part B) Find the area of the square first.

A = L x W

A = 6 x 6

A = 36 yds²

Next, find the area of a triangle and multiply the answer by 2 because there are two triangles.

A = 1/2bh

A = 1/2(1)(6)

A = 1/2(6)

A = 3(2)

A = 6 yds²

Add together all of the area measurements to find the area of the entire figure

36 + 6 = 42 yds²

Answer:

Step-by-step explanation:

Since the diagram to this question is not given ; we will just explain the concept of the right angled triangle and a means by which we can use the Pythagoras theorem in solving such related question.

A right angled triangle has to legs which serves as the base line in which the height of the right angle is 90°.

Now; If we have a base line AB; let say , we chose any convenient radius at a and bisect an arc. at the arc we make another arc to the right ; we will have an angle at A which is 60°, So B will form a straight line up serving the role of the right angle which is 90° and where both met will be C which is 30°

So now we have a triangle ABC, if the line facing ∠ A = a ; the line facing ∠ B = b and the line facing ∠ C = c

Then; we can solve for side c if ; side a and side b are known by using the Pythagoras theorem.

Using Pythagoras theorem.

a²  = b² + c²

-c² =  b² - a²

Multiplying through with -

c² = - b² + a²

[tex]\mathbf{ c = \sqrt{-b^2 + a^2}}[/tex]

Since ; we already make c the subject of the formula; from the missing diagram, we can easily slot the values of a and b given to solve for the value of c using the above derived equation.

I hope that helps!.

Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.

Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.

In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.

The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.

Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.

Answer:

65

Step-by-step explanation:

Answer:

[tex]x=\{-\frac{1}{2} ,\:0\}[/tex]

Step-by-step explanation:

[tex]f(x) =-2x^2 -x\\plug \: f(x) =0\\0= -2x^2 -x\\2x^2 + x = 0\\x(2x+1) = 0\\\therefore x =0 \: or \: 2x+1 = 0\\\therefore x =0 \: or \: 2x = -1\\\\\therefore x =0 \: or \: x = -\frac{1}{2} \\\\x=\{-\frac{1}{2} ,\:0\}[/tex]

Answer:

C.

Step-by-step explanation:

Lines with equal slopes are parallel since their slopes are equal so they are parallel.

Answer:

For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.

Step-by-step explanation:

E-Z

Answer:

21

Step-by-step explanation:

Step-by-step explanation:

Average daily balance: Add all balances up and divide by the number of days.

157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option

Daily interest rate: 24.99/365, as a percent, which is the first option

Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value

New account balance: Again, this does not seem to be given, but the only option remaining is the second one

Answer:

Average daily balance: Add all balances up and divide by the number of days.

157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option

Daily interest rate: 24.99/365, as a percent, which is the first option

Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value

New account balance: Again, this does not seem to be given, but the only option remaining is the second one

m

Step-by-step explanation:

Answer:

x=1b(k+2)=1b(k+2.0)

= k+2/x

Step-by-step explanation:

Step 1: Add 2 to both sides.

Step 2: Divide both sides by x

Answer: x=1b(k+2)=1b(k+2.0)

Hope this helps.

Answer:

2 1/2 cups of vegetables

Step-by-step explanation:

This is an averages question, so add all numbers and divide by amount of numbers

2+1+2+1+3+6=15

15/6=2 1/2

Answer:

Nancy put 3 cups of vegetables in each container.

Step-by-step explanation:

1. Add the amount of vegetables together

2. Divided the number of vegetables by 5, since they are put into 5 separate containers.

____________________________________________________________2+1+2+1+3+6 = 15

15 divided by 5 or 5 x ? = 15

Answer:

A = 121 pi in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 11^2

A = 121 pi in^2

Answer:

121 pi in^2

Step-by-step explanation:

Area = pi *. R^2

= pi x 11^2= 121pi. in^2

Answer:

c) √137

Step-by-step explanation:

Explanation:-

The distance between two points formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }[/tex]

Given points are R (3,7) and S(-1,-4)

[tex]RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }[/tex]

[tex]RS = \sqrt{(-4 )^{2} + (-11 )^{2} }[/tex]

[tex]RS = \sqrt{16 + 121 }[/tex]

RS = √137

The distance between the two points are RS = √137

Answer:

b

Step-by-step explanation:

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - α)% confidence interval for population mean μ is:

[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}[/tex]

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

n₁ = 25

n₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

        [tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]

        [tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]

Thus, the sample consisting of 64 data values would give a greater precision.

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64 and this can be determined by using the formula of width.

Given :

The following steps can be used in order to determine the number of data values would you expect to give a greater precision for estimating the population mean:

Step 1 - The below formula of width is used in order to determine the number of data values.

Step 2 - The formula of width is given below:

[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]

where [tex]z_{\alpha /2}[/tex] is the z-score, [tex]\sigma[/tex] is the standard deviation, and 'n' is the sample size.

Step 3 - Now, at n = 25 the formula of 'w' becomes:

[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{25} }[/tex]

[tex]w = \dfrac{1}{5}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]

Step 4 - Now, at n = 64 the formula of 'w' becomes:

[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{64} }[/tex]

[tex]w = \dfrac{1}{8}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64.

For more information, refer to the link given below:

https://brainly.com/question/12402189

Answer:

C. 155.5 cm2

Step-by-step explanation:

area = 5*15 + (15+8)*7/2 = 75 + 80.5 = 155.5 cm2

Answer:

A placebo is a useless substance that takes the place of an actual drug

Step-by-step explanation:

This is to test to see if the drug actually does anything, or if the patients are really just deceived by their imagination

Answer:

32%

Step-by-step explanation:

Given

Cost of Crockpot = $125

Coupon = $40

Coupon applies on items greater than $100

Required

Percent saved if coupon is applied.

If she applies coupon on the Crockpot, then she'll be saving $40.

Percent Savings = Amount Saved / Total Amount

Percent Savings = $40/$125

Percent Savings = 0.32

Convert to Percentage

Percent Savings = 0.32 * 100%

Percent Savings = 32%.

Hence, she'd save 32% if she applies the coupon of $40 on the Crockpot

Answer:

percentage savings = 32%

Step-by-step explanation:

She is buying a Crock-pot that retails for $125 . She has a coupon for $40 off any time she bought over $100 item.

Her percentage saving can be calculated below.

The price of the crock-pot is $125 but the amount she bought it base on coupon she has will be $125 - $40 = $85.

The normal price of the crock-pot is $125 and she bought it base on her coupon for $85, then the percentage change is

percentage saving = amount saved/normal price × 100

percentage savings = 40/125 × 100

percentage savings = 4000/125

percentage savings = 32%

The amount you bought the crock-pot was less than the original price hence Felicia saved 32% of the original price.

Answer:

Step-by-step explanation:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

Answer:

b

Step-by-step explanation:

i took the test myself

Answer:

B

Step-by-step explanation:

Edge 2022

Answer:

y = -x - 6

Step-by-step explanation:

I graphed the coordinate point on the graph and found an equation of the line that goes through the point with a slope of -1.

Answer:

y = -x - 6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

6p = 120

p = 120/6

p = 20

Answer:

The answer to that depends on the company

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Answer part a

He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay.  Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.  

3.5 / 0.5

7

Answer: He can make 7 bowls

Step 2:  Answer part b

I don't really understand what the questions asking about how much clay does he need to make with all of his clay.  If you explain what that means I can answer it.

If you meant how much mugs he is able to make → 14

If you meant how much clay he needs to have for each mug → 0.25

Answer & Explanation:

Part A

It gives us 2 numbers to determined how much bowls he can make.

He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.

[tex]3.5[/tex] ÷ [tex]0.5[/tex]

= [tex]7[/tex]

He can make 7 bowls out of the 3.5 pounds of clay that he has.

Part B

This question is very confusing...

He can make 1 mug with 0.25 pounds of clay.

[tex]3.5[/tex] ÷ [tex]0.25[/tex]

= [tex]14[/tex]

He can make 14 mugs if he uses all of his clay.

hope this helps

give brainliest if you please