A goat is tied at one corner of a 12 feet by 16 feet barn. If the rope is 24 feet long, find the area of the region outside the barn, in which the goats can graze.

Answer:

234£

Step-by-step explanation:

since mark own is the smallest let his own be x

David 3x

Dan 2(3x)

add all

10x

ten x is equal to 780£

10x=780

x=78

since david is 3x

3(78)=234

Out of a total of £780 after dividing the money between Dan, David and Mark accordingly, David gets £234.

£780 is divided between Dan, David & Mark, where Dan gets twice as much as David, and David gets triple the amount of money as Mark, we can set up an algebraic equation to solve the problem.

Let's say Mark gets x pounds. According to the information given, David would get 3x pounds. Therefore, Dan would get 2 times what David gets, which is 2 * 3x = 6x pounds.

The total amount they get is the sum of all their shares, which equals £780:

x + 3x + 6x = 780

This simplifies to:

10x = 780

Divide both sides by 10 to find the value of x:

x = 780 / 10

x = 78

Since David gets 3 times as much as Mark, we multiply 78 by 3:

David gets 3 * 78 = 234 pounds.

[tex]x_0=\dfrac{-b}{2a} =\dfrac{-4}{2\times(-2)}=1\\y_0=-2\times1^2+4\times1+1=-2+4+1=3\\Answer: The\: vertex\: is \:(1;3). It's\:maximum\:point \:because \:a=-2<0[/tex]

Answer:

The correct option is 90.2.

Step-by-step explanation:

The general form of a least square regression line is:

[tex]y=\alpha +\beta x[/tex]

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is:

[tex]y=11.7+1.02x[/tex]

In this case the dependent variable is the job performance rating for the employees of a company and the independent variable is their attitude rating.

This implies that the for an employee of the company the job performance rating is based on their attitude towards work.

Compute the value of y for x = 77 as follows:

[tex]y=11.7+1.02x[/tex]

  [tex]=11.7+(1.02\times 77)\\=11.7+78.54\\=90.24\\\approx90.2[/tex]

The predicted value of job performance rating for a person whose attitude rating is 77 is 90.2.

Thus, the correct option is 90.2.

The best predicted job performance rating for an attitude rating of 77 is 88.9.

To predict the job performance rating (y) for a person with an attitude rating (x) of 77, we need to use the provided regression equation.

Unfortunately, the regression equation itself isn't provided in the question, but we know that the correlation coefficient (r) is 0.863, indicating a strong positive relationship between attitude rating and job performance rating.

Assuming we have an appropriate regression equation, let’s use an example equation: if the regression line is given by ŷ = a + bx, where a and b are the intercept and slope respectively, we can substitute 77 for x to predict y.

For example, if the regression equation was of the form ŷ = 10 + 1.03x, substituting 77 would yield:

The closest option to 89.31 would be 88.9. Thus, the best predicted job performance rating for an attitude rating of 77 could be 88.9 given the options provided.

The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials.

The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials. In this case, the outcome with a frequency of 20 occurred 200 times, so the experimental probability of rolling that result is 20/200 = 0.10 or 10%.

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Answer:3

Step-by-step explanation:

Answer:

8 ft

Step-by-step explanation:

Okay lets get our variables and notes down first, I'll use the most common terms for this.

Hypotenuse: 12 ft <-- The ladder is the hypotenuse

Leg: 9 <- The height of the top of the ladder on the house

Base: ? <- We need to solve for it.

Pythagorean Theorem says c²-a²=b²

c = Hypotenuse

a & b are both Legs and interchangeable

12²-9²=b²

144-81=b²

     63=b²

   [tex]\sqrt{63}[/tex]=[tex]\sqrt{b^{2} }[/tex]

   [tex]3\sqrt{7}[/tex]=b which is approximately 7.93 which rounds up to 8

Final answer:

To determine the number of problems the student answered correctly, calculate 75% of 20. The student correctly answered 15 out of 20 problems on the math test.

Explanation:

A student earned a grade of 75% on a math test that had 20 problems.

To find out how many problems the student answered correctly, we can simply calculate 75% of 20.

Step 1: Convert the percentage to a decimal: 75% = 0.75

Step 2: Multiply the decimal by the total number of problems: 0.75 × 20 = 15

Therefore, the student answered 15 problems correctly on the math test.

Answer:

Around 41 quarts

Step-by-step explanation:

Answer:

I'm using algebra format ok so if u get it wrong pls dont kill me. 6(3+4) = 6*3 + 6*4 brackets in algebra means times so 6 times 3 + 6 times 4 done

Answer:

12.56 cubic units

Step-by-step explanation:

Let h be the height of given cone.

[tex]h = \sqrt{ {5}^{2} - {4}^{2} } \\ = \sqrt{25 - 16} \\ = \sqrt{9} \\ = 3 \\ \\ volume \: of \: cone \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 3 \\ \\ = \frac{1}{3} \times 3.14 \times 4 \times 3 \\ \\ =3.14 \times 4 \\ = 12.56 \: {units}^{3} \\ [/tex]

Answer:

11.45 miles

Step-by-step explanation:

you add

Answer:

x=87.5

Step-by-step explanation:

40%=.4

.4x=35

x=35/.4

Answer:

that is pretty hard no cap but im hoping the other guy is right to help u out

Step-by-step explanation:

Answer:

35 People

Step-by-step explanation:

From the given information

Let the number of people attending the banquet=x

Therefore:

Cost of Hall Rental + Total Meal Cost = Total Bill

125+12x=545

12x=545-125

12x=420

x=420/12=35

Since x=35, we conclude that 35 People attended the banquet.

Answer:

The answer to your question is 566 m²

Step-by-step explanation:

Data

length = 19 m

width = 4 m

height = 9 m

Process

1.- Calculate the area of the 6 faces

-Area of the bases

Area = 19 x 4 x 2 = 152 m²

-Area of the lateral faces

Area = 4 x 9 x 2 = 72 m²

-Area of the frontal and the opposite faces

Area = 19 x 9 x 2 = 342 m²

2.- Calculate the total area

Total area = 152 + 72 + 342

                 = 566 m²

Answer:

1

Step-by-step explanation:

We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.

We know that volume of cone is [tex]\frac{1}{3}\pi r^2\cdot h[/tex].

The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

[tex]h=2r[/tex]

Upon substituting [tex]h=2r[/tex] in volume of cone, we will get:

[tex]V=\frac{1}{3}\pi r^2\cdot 2r[/tex]

[tex]V=\frac{2}{3}\pi r^3[/tex]

We know that volume of sphere is [tex]V=\frac{4}{3}\pi r^3[/tex].

Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

[tex]V=2(\frac{2}{3}\pi r^3)[/tex]

Since [tex]\frac{2}{3}\pi r^3=113.04[/tex], so volume of sphere would be:

[tex]V=2(113.04)[/tex]

[tex]V=226.08[/tex]

Therefore, volume of sphere would be 226.08 cubic mm.

Answer:

DEFCON= MEANS DEFense readiness CONdition

Step-by-step explanation:

HI THERE: IT IS AN CALL OF ALERT STATE OF EMERGENCY WHICH IS SOMETIMES USED BY THE USAF (UNITED STATES AIR FORCE)

Answer:

The hip breadth for men that separates the smallest 99​% from the largest 1​% is 17.16 inches.

Step-by-step explanation:

We are given that the Men have hip breadths that are normally distributed with a mean of 14.6 in. and a standard deviation of 1.1 in.

We have to find the hip breadth for men that separates the smallest 99​% from the largest 1​%.

Let X = length of hip breadths

SO, X ~ Normal([tex]\mu=14.6,\sigma^{2} =1.1^{2}[/tex])

The z-score probability distribution for normal distribution is given by;

                               Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)

where, [tex]\mu[/tex] = mean hip breadth = 14.6 inches

            [tex]\sigma[/tex] = standard deviation = 1.1 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we have to find the hip breadth for men that separates the smallest 99​% from the largest 1​%, which means;

       P(X > x) = 0.01   {where x is the required hip breadth}

       P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-14.6}{1.1}[/tex] ) = 0.01

        P(Z > [tex]\frac{x-14.6}{1.1}[/tex] ) = 0.01

So, the critical value of x in the z table which represents the largest 1% of the area is given as 2.3263, that is;

                       [tex]\frac{x-14.6}{1.1} =2.3263[/tex]

                         [tex]{x-14.6}{} =2.3263\times 1.1[/tex]

                          [tex]x[/tex] = 14.6 + 2.55893 = 17.16 inches

Hence, the hip breadth for men that separates the smallest 99​% from the largest 1​% is 17.16 inches.

For future reference for people like me who were a tad lost,

1. B

2.  Sixth graders paid a total of $508.50 for all their meals on Monday.

3. Scott

4. Cost of a Small Green t-shirt and a Large pair of Blue Jeans

5. B (the one with 1.10 by the Matrix)

Answer:

12

Step-by-step explanation:

3x =12 whn x=4

Answer:

B is the correct answer

Step-by-step explanation:

A. is wrong because 3/8 would shrink the circle, not expand it.

B. is correct because 8/3 means the circle will expand, not shrink.

C. is wrong because those coordinates only reposition and move the circle, not dilate.

D. is wrong because those coordinates only reposition and move the circle, not dilate.

Answer: 121/1024

Step-by-step explanation:

If 5 burglaries were reported in 2003,

16 in 2004, this means that were addition of more (16 - 5) = 11

and 32 in 2005

Total outcome will be 32 windows

 The probability that both will have occurred in 2004 will be

11/ 32 × 11/32 = 121/1024

The probability that both will have occurred in 2004 is 121/1024

Given that:

In 2003, 5 burglaries were reported

16 in 2004

Hence, the total outcome is 32

The probability that both will have occurred in 2004 will be

[tex]11/ 32 * 11/32 \\= 121/1024[/tex]

Read more about probability here:
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Answer:

The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%

Step-by-step explanation:

Solution:-

- The sample size, n = 150 visitors

- The proportion of visitors who hiked, p = 0.14

- We are to create a 94% confidence interval for the population proportion.

- We will determine the Z-critical value for the CI : 0.94 or significance level α = 0.06

- The critical value is defined and plucked from Z-score (standardized) tables as:

                        Z-critical = Z_α/2 = Z_0.03 = 1.88

- The confidence interval for the population proportion (p) is constructed as:

                         [tex]( p - Z-critical\sqrt{\frac{p*(1-p)}{n} } , p + Z-critical\sqrt{\frac{p*(1-p)}{n} } )\\\\( 0.14 - 1.88\sqrt{\frac{0.14*(1-0.14)}{150} } , p + 1.88\sqrt{\frac{0.14*(1-0.14)}{150} } )\\\\( 0.08673 , 0.19326 )[/tex]

- The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%

Answer:

Distributive property in multiplication

a) 4.(20+8) = 4.20 + 4.8

Commutative law property in multiplication

b) (28) 4 = 4(28)

Step-by-step explanation:

Explanation:-

Distributive property in multiplication.

Let a ,b ,c are three numbers

a.(b + c) = a. b + a. c

Given problem 4(28) = 4(20+8)

4.(20+8) = 4.20 + 4.8

              = 80+32

             = 112

Commutative law property in addition

a + b =b + a

20 + 8 = 8 + 20

Commutative law property in multiplication

ab = b a

(28) 4 = 4(28)

Commutative law property in multiplication

let a, b and c are three numbers

a(bc) = (ab)c

4×(7×4) = (4×7)×4

This wasn't the right tab sorry

It takes (C) 11.2 grams of salt to raise the boiling point of water by one degree Celsius.

Let's examine the data provided:

We can observe the following pattern:

To find out how much salt is needed to raise the boiling point by exactly one degree Celsius, we look at Solution 3 compared to Solution 1:

Thus, 11.2 g of salt is needed to raise the boiling point of water by one degree Celsius.

Answer:

the answer is 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:

5.7 MB

Step-by-step explanation:

1.9 + 3.8 = 5.7

Answer:

1.9+3.8=5.7 mb

Add the file sizes, and there's your answer!

:)

Answer:

$24

Step-by-step explanation:

So the total number of hours John has worked after 4 hours plus another 2 hours is h = 4 + 2 = 6 hours.

Given that John's wage is modeled by the equation w = 4h, then his total wage within 6 hours of working is is

w = 4h = 4 * 6 = $24

John earns: [tex]\[\boxed{24}\][/tex] Dollars

To determine how much John earns, we can use the equation provided:  w = 4h , where w represents John's wages in dollars and h represents the number of hours worked.

John first worked for 4 hours. Using the wage equation:

[tex]\[w = 4 \times 4 = 16 \text{ dollars}\][/tex]

Next, John continues to work for another 2 hours. The total number of hours he works is now:

[tex]\[4 + 2 = 6 \text{ hours}\][/tex]

Using the wage equation for the total number of hours:

[tex]\[w = 4 \times 6 = 24 \text{ dollars}\][/tex]

Thus, John earns:

[tex]\[\boxed{24}\][/tex] Dollars

Answer:

$18.90

Step-by-step explanation:

Lets break this question down into smaller sections to make it easier:

There are 3 bottles

Each bottle can hold 0.75 liters

For every 25 milliliters she pays $0.21

With that information in mind, we notice that we need to convert liters to milliliters in order to get an accurate answer.

For every 1 liter = 1000 milliliters

So, we need to take 0.75 * 1000 = 750 milliliters per bottle

Next, we take 750 milliliters / 25 milliliters to find how many times we have to fill one bottle

Each bottle will take 30 times of 25 milliliters to fill the whole bottle

Now take 30 * $0.21 to find the cost of one bottle

One bottle = $6.30 to fill

Take $6.30 * 3 to find the total cost to fill ALL the bottles.

For a final result, we get $18.90 to fill all three bottles completely

Hope this Helps!

Answer:

it's 18.90

Step-by-step explanation

my friend told me it was 5.67 and for some reason i believed her but no i took the test and it's 18.90

Answer:

centered at (5,-3)

radius of 14 units

Step-by-step explanation:

A linear transformation will be the opposite of what contained in the parentheses( (x-5)^2 will be a regular line x but +5 units along the axis.

Therefore the variables contained in the parentheses will then correspond to the transformation, so it will be shifted +5 units along the x and -3 units along the y.

The radius is simply the answer square rooted which is 14 units in this case.