how would i match these together

Answer:

The answer is the height h equals 9

Step-by-step explanation:

\(a = \frac{1}{2} bh = 58.5\\ b = h + 4\)

\(58.5 = \frac{(h + 4)h}{2} = \frac{ {h}^{2} + 4h}{2} \)

\(117 = {h}^{2} + 4h \\ {h}^{2} + 4h - 117 = 0\)

\( x1 = - 2 + u \\ x2 = - 2 - u\\ x1x2 = ( - 2 + u)( - 2 - u) = - 117\)

\(4 - {u}^{2} = - 117 \\ 4 + 117 = {u}^{2} \\ {u}^{2} = 121\)

\( \sqrt{ {u}^{2} } = + or - \sqrt{121} \\ u = + or - 11\)

\(x1 = - 2 + 11 = 9 \: or \\ x2 = - 2 - 11 = - 13\)

since areas have to be positive -13 is incorrect therefore

\(h = 9\)

Check:

\(58.5 = \frac{(h + 4)h}{2} = \frac{(9 + 4)9}{2} = \\ \frac{13 \times 9}{2} = \frac{117}{2} = 58.5\)

Answer:

-34

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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Step-by-step explanation:

1. the claim here is that over 60 percents of the households living in ann harbor have pets.

null hypothesis;

h0: p≤0.60

alternative:

h1: p>0.60

2.

n is the size of the sample = 280

n(p) = 280 x 0.60 = 168 greater than 10

n(1-p) = 280(1-0.6) = 280 x 0.4 = 112  greater than 10

we use the normal dist since each of the above are greater than 10

3. n = 280

x = 182

x/n = 182/280

= 0.65

we get the test statistic z

z = \(\frac{0.65-0.6}{\sqrt{0.6*(1-0.6)/280} }\)

= \(\frac{0.05}{\sqrt{0.000857} }\)

=\(\frac{0.05}{0.02927}\)

≈ \(1.71\)

we get the p value = 1-p(z<1.71)

= 1-.9562

this gives 0.0438

4. we can see that 0.0438 < 0.10

so we conclude that over 60% of these households have at least one pet since we rejected h0.

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

\((-\infty,\frac{25}{24}]\)

Step-by-step explanation:

Assuming \(i\) is a variable:

\(4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}]\)

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The polynomial function  p(x) = x³ - 7x + 6 divided by x - 2 =  x² + 2x - 3

Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor. One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division, which also makes it an easier method in comparison to the long division.

We can represent the division of two polynomials in the form:

p(x)/q(x) = Q(x) + R/(q(x))

where,

The polynomial function p(x) = x³ - 7x + 6 is divided by x - 2

x³ - 7x + 6 ÷ x - 2 = (x - 1)(x + 3)

x² + 3x - x - 3 = x² + 2x - 3

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Answer:

Step-by-step explanation:

You want the population density in each of two countries with populations of 6.6 million and 807 thousand in areas of 6025 and 462,268 square miles, respectively.

The population density is found by dividing the population by the area.

  6.6·10^6/6025 ≈ 1095 . . . . people per square mile

  807,000/462,268 ≈ 1.746 . . . . people per square mile

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

Answer:

168

Step-by-step explanation:

Figure out 10% which is 48

Times by 3 to get 30% 144

then half 48 to get 5% which is 24

Answer:

\(P(X\geq 1)= 1 - 0.0497 8 =0.95022\)            

Step-by-step explanation:

Step(i):-

Let 'X' be the random variable in Poisson distribution

Mean of the Poisson distribution λ or ∝ = 3 per  (cm³)

Given n = 5 samples

\(P(X=r) = \frac{e^{-\alpha }\alpha ^{r} }{r!}\)

Step(ii):-

The probability that at least one sample will contain one or more bacterial colonies

P(X≥1)    = 1-P(X< 1)

             = 1 - P( X=0)

\(P(X\geq 1)= 1 - \frac{e^{-\alpha }\alpha ^{r} }{r!}\)

\(P(X\geq 1)= 1 - \frac{e^{-3 }3 ^{0} }{0!}\)

\(P(X\geq 1)= 1 - 0.0497 8 =0.95022\)            

Answer:

no

Step-by-step explanation:

3/4 x 3 = 9/12 not 8/12 you have to find a common denomanotor to check and 4x3 equal 12.

Answer:

x = 16

y = 17

Step-by-step explanation:

7x + 52 + x = 180 = (x = 16)

7(16) + 4y = 180 = ( y = 17)

Answer:

D is incorrect this is your answer

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Answer:

It's $6.95 :)

Answer:

angle b

Step-by-step explanation:

let's assume the triangle is a right angle triangle . either angle a or c can be equal to 60 degree

Answer:

Farmer John made 4 cobblers.

Step-by-step explanation:

In order to figure out how many cobblers he made, you have to find x. The equation would be x=24÷6. 24 divided by 6 is 4, so x=4.

The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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Answer:

yea its the thing you eat your food on at breakfast lunch dinner etc.

Step-by-step explanation:

The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.

Total capital = $12600 + $19200 + $16200

= $48,000

Mr Jones proportion = $12600 / $48,000

= 21/80

Mr Thomas proportion = $19200 / $48,000

= 32/80

Mr forson proportion = $16200 / $48000

= 27/80

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Answer:

Step-by-step explanation:

yes,      (given number) / 5

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

answer is below

Step-by-step explanation:

49/6 or 8 1/6

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

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