A scale drawing for a plot of land is shown below. In the drawing, 1cm represents 4m. Assuming the backyard is rectangular, find the area of the real backyard.​

Answer:

100.763 (cm.²)

Step-by-step explanation:

1. the formula of the required area is:

[tex]A=\frac{1}{2} *side_1*side_2*sin45;[/tex]

2. according to  the formula above:

A=0.5*15*19/√2≈100.763

Answer:

I think its A.

Step-by-step explanation:

Answer: B

3x-y=-1

Step-by-step explanation:

Slope of a Perpendicular like is the opposite reciprocal

so slope of the new line is +3

Using the new point

(2,7) write the equation to solve for B

y=mx+b

7=3(2)+b

7=6+b

1=b

then put m and b into equation

y=3x+1

rearrange

3x-y=-1

Answer:

6 flower pota

Step-by-step explanation:

Since 1 pound of potting soil can hold 3 pots as 3/3 pounds of potting soils equals to 1..

3 x 2 pounds of potting soil = 6 flower pots

A,B helps it help if you doubt used calculator

Answer:

Im not sure about my answer but um 11.59 maybe ? sorry if i'm wrong...

Step-by-step explanation:

1.74 x 3= 5.22                     1.74 / 3 = 0.58                    6.96 + 0.58 = 7.54

1.92 x 2= 3.84                     1.92 / 9 = 0.21                     3.84 + 0.21 =4.05

                                        7.54 + 4.05 = 11.59

Answer:

6250

Step-by-step explanation:

V= lwh /3 = 5·125·30 /3 = 6250

(2-3x+1)-(3x+7-12x)

(2+1-3x)-(3x-12x+7)

(3-3x)-(-9x+7)

3-3x--9x+7

3-3x+9x+7

3+7+9x-3x

10+6x or 6x+10

---

hope it helps

Answer:

i think the answer is B

Step-by-step explanation:

Answer:

Assistant manager  sal= $800

cook  sal = $400

server sal = 300

Step-by-step explanation:

lets say 3 people salaries are x, y  and z respectively

let x be the cook salary

cook salary = x

assistant manager sal = y = 2x

server sal = z = x - 100

putting in the equation total salary three together make = 1500

x+y+z = 1500

x+2x+(x-100) = 1500

4x -100 = 1500

4x = 1600

x = 400

y = 2x = 2x400 = 800

z = x - 100 = 400 - 100 = 300

Answer:

Step-by-step explanation:

A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.

Width =_________________

Height= ________________

Aerators = ______________

Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate  5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?

Answer:

The other equation could be: 6y = 4x - 18

Step-by-step explanation:

System with infinite number of solutions:

A linear system has an infinite number of solutions when one equation is a multiple of another.

One of the equations of the system is 3y = 2x - 9. Which could be the other equation?

A multiple of 3y = 2x - 9

Multiplying by 2, the other equation could be: 6y = 4x - 18

Answer:

B: y=2/3 x -3

Step-by-step explanation:

I got it right on Edge

7x + 3 = 9x - 3 - 2x

7x - 9x + 2x = -3 - 3

0 = -6

equation doesn't have any solution

Answer:

a) By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.

b) 0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.

c) Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2 or greater than 2, the measure X is considered unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

30% of American adults were worried about global warming.

This means that [tex]p = 0.3[/tex]

(a) Describe the sampling distribution of the sample proportion of American adults worried about global warming for a random sample of 1048 American adults.

Sample of 1048 means that [tex]n = 1048[/tex]

The mean is [tex]\mu = p = 0.3[/tex]

The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.3*0.7}{1048}} = 0.0142[/tex]

By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.

(b) (3 points) Compute the probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.

This is 1 subtracted by the pvalue of Z when X = 0.35. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.35 - 0.3}{0.0142}[/tex]

[tex]Z = 3.53[/tex]

[tex]Z = 3.53[/tex] has a pvalue of 0.9998

1 - 0.9998 = 0.0002

0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.

(c) (2 points) Based on your answers above, do you think it would be unusual to get 40% of 1048 randomly selected American adults being worried about global warming

Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.

Answer:

Step-by-step explanation:

Y = 10x + 4

x = -2  ; y= -16

x=-1 ; y = -6

x=0 ; y=4

x=1 ; y=14

x=2 ; y=24

Answer:

C

Step-by-step explanation:

C

Answer:

38 miles per Gallon of Gas and she paid $3.74 per gallon of Gas

Step-by-step explanation:

Answer 1 is =

miles ÷ gallons

= 456÷ 12

= 38 Miles

Answer 2 is =

total money spent ÷ number of gallons

= $44.88 ÷ 12

= $3.74

Answer:

48 of the stamps are not foreign 48 out of 150, this isnt a percentage but the percentage would be 28%

Step-by-step explanation:

68% of 150 would = 102 stamps

subtract 150 by 102 = 48

48 stamps

Answer:

circle graph

Step-by-step explanation:

Answer:

The answer is circle graph

Step-by-step explanation:

9514 1404 393

Answer:

  0.09 per inch

Step-by-step explanation:

There are 12 inches in a foot, so 15 feet is 15×12 = 180 inches.

The cost per inch is found by dividing the cost by the number of inches.

  cost per inch = 16.20/180 = 0.09

The cost per inch of electrical wire is 0.09.

Answer:

Change in percent = 56.75 (Approx.)

Step-by-step explanation:

Given:

Score in first game = 37 points

Score in second game = 58 points

Find:

Change in percent

Computation:

Change in percent = [(Score in second game - Score in first game)/Score in first game]100

Change in percent = [(58-37)/37]100

Change in percent = [(21)/37]100

Change in percent = 56.75 (Approx.)

The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We have given an expression as ;

log (12/5)

We know that

[tex]log_a(b) - \log_a(c) = \log_a(\frac{b}{c})[/tex]

So,

log (12/5) = log (12) - log (5)

Thus, the correct option is A. log (12) - log (5)

The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ2

Answer: I think 6 x 10^-4 has the greatest value.

Step-by-step explanation:

Answer:

It's 6415.35

Answer:

parell line

Step-by-step explanation:

Answer:

hello please follow me

Step-by-step explanation:

Answer is Linear Pair

Answer:

Step-by-step explanation:

The answer is A

Answer:

A.

Step-by-step explanation: