please help me with geometry
I'll give you ⭐⭐⭐⭐⭐

​

Using the hypergeometric distribution, it is found that there is a 0.1515 = 15.15% probability that you pick at least 3 green balls.

The balls are chosen without replacement, hence the hypergeometric distribution is used.

The formula is:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that you pick at least 3 green balls is:

\(P(X \geq 3) = P(X = 3) + P(X = 4)\)

Hence:

\(P(X = 3) = h(3,12,4,5) = \frac{C_{5,3}C_{7,1}}{C_{12,4}} = 0.1414\)

\(P(X = 4) = h(4,12,4,5) = \frac{C_{5,4}C_{7,0}}{C_{12,4}} = 0.0101\)

Then:

\(P(X \geq 3) = P(X = 3) + P(X = 4) = 0.1414 + 0.0101 = 0.1515\)

0.1515 = 15.15% probability that you pick at least 3 green balls.

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Answer:

$1.50

Step-by-step explanation:

9/6=1.5

1.5=1.50

One hotdog cost $1.50

Answer:

$1.50

Step-by-step explanation:

$9 > 6h

? > 1h

9/6 = $1.50

For one hotdog, the price is $1.50

Answer:

375 Km

Step-by-step explanation:

1 inch = 50 km

50 x 7.5 = 375 km

Answer:

375 Km

1 inch = 50 km

50 x 7.5 = 375 km

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

Let's say you have a table with spots for 10 plates and each plate can hold 1 pie. But 7 plates are missing from the table. You place your pies in each spot anyway. Out of those 10 spots available, only 3 have both pies and plates.

They owe 1,605 dollars as tax.

Given that, their joint taxable income is $496,235 and the first $16,050 is taxed at 10%, with the remainder at 35%.

Taxes Owed = ($16,050 x 10%) + ($496,235 - $16,050) x 35%

= $1,605 + ($480,185 x 35%)

= $1,605 + $168,064.75

= $169,669.75

Therefore, they owe 1,605 dollars as tax.

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The cube roots of i are:

Given:

cube root of i

i can be written as cosπ/2 + i sinπ/2

i = cos π/2 + i sinπ/2

general form:

i = cos (2kπ + π/2) + isin(2kπ + π/2) for k=0,1,2

= cos (4kπ+π/2) + i sin(4kπ+π/2)

= cos (4k+1)π/6 + i sin(4k+1) π/6

k = 0: i¹/³ = cos π/6 + i sin π/6

= √3/2 + i 1/2

K = 1, i¹/³ = cos(5π/6) + i sin(5π/6)

= cos(π - π/6) + i sin (π-π/6)

= - cos (π/6) + isin(π/6)

= -√3/2 + i 1/2

k = 2, i¹/³   cos(3π/6) + i sin(3π/6)

= cos (3π/2) + i sin(3π/2)

= cos(π+π/2) + i sin(π+π/2)

= -cos(π/2) - i sin(π/2)

= 0 - i

= -i

Hence we get the required roots.

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The z-values that correspond to the middle 72% of the normal distribution are given as follows:

-1.08 < Z < 1.08.

The z-score of a measure X of a normally distributed variable that has mean symbolized by the symbol \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

Considering the symmetry of the normal distribution, the middle 72% is composed between the 14th percentile and the 76th percentile, hence the z-scores are given as follows:

-1.08 < Z < 1.08.

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To make a plot transparent in R, one need to enable the command to associate your alpha value with a degree of transparency, you must additionally specify the maximum value. Using max = 255 is effective.

To make a plot transparent in R, a plotting parameter is be alpha. The default alpha value is 1, and reducing it to a value closer to zero will make an object more transparent, while raising it to a number closer to one will make an item opaque. It is used to alter the color transparency. To obtain the red, green, and blue values required by the RBG() command, use the color RBG() command. Creating a custom function that converts a specified color into a transparent version is quite simple.

Example code snippet of the following transparent plot:

> opar <- par(mfrow = c(1,2))

> set.seed(1)

> hist(rnorm(100), col = "pink")

> mycol <- t_col("pink", perc = 50, name = "lt.pink")

> hist(rnorm(100), col = mycol)

> par(opar)

Hence this all about transparency.

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Answer: C. Both are correct. Gregory's definition can be simplified to get Felipe's definition.

Step-by-step explanation:

-1, 6, 13

\(a_n=a_1+(n-1)d\\\\d=a_2-a_1\\\\d=6-(-1)\\\\d=6+1\\\\d=7\)

Hence,

\(a_n=-1+7(n-1)\\\\a_n=-1+7(n)-7(-1)\\\\a_n=-1+7n-7\\\\a_n=7n-8\)

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values

Simplify the expression

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

Answer:

a) ½

Step-by-step explanation:

The slope of a line can be found using the following formula:

\(\sf m=\dfrac{y_2-y_1}{x_2-x_1}\)

We are given the points (-9, 6) and (-3, 9):

where:

y₂ = 9, y₁ = 6

x₂ = -3, x₁ = -9

Substitute the given values into the formula:

\(\sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{9-6}{-3-(-9)}\ \textsf{[simplify]}\\\\m=\dfrac{9-6}{-3+9}\ \textsf{[simplify]}\\\\m=\dfrac{3}{6}\ \textsf{[reduce]}\\\\m=\dfrac{3\div3}{6\div3}\\\\m=\dfrac{1}{2}\)

Therefore, the slope of the line through the points (-9, 6) and (-3, 9) is ½

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The inequality used to represent games at carnival is 9g - 207.35 > 100

The solution is g > 34.15

Information gotten from the question include

Games at the carnival costs $9 each

The prizes awarded to the winners costs the owner $207.35

How many games must be played for the owner to make more than $100 = ?

Using g as variable which is the number of games to be played we have

total amount gotten from games = 9 * g

prizes of winners = 207.35

The inequality equation as described in the problem is represented using linear function as as follows

9g - 207.35 > 100

for the owner to make more than 100 we have the equation

total amount gotten from games - prizes of winners > 100

9g - 207.35 > 100

100 + 207.35 < 9g

9g > 307.35

g > 34.15

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The equation, 3y = 9x -12, written in standard form is 9x - 3y =12

From the question, we are to write the given equation is standard form.

The given equation is

3y = 9x - 12.

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

3y = 9x - 12

Substract 3y from both sides

3y - 3y = 9x - 3y - 12

0 = 9x - 3y - 12

Therefore

9x - 3y - 12 = 0

Add 12 to both sides of the equation

9x - 3y -12 + 12 = 0 + 12

9x - 3y = 12

Hence, the standard form is 9x - 3y = 12

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Answer:

Step-by-step explanation:

The sides of a triangle measure 6, 8 and 10 cm. What is the area of the triangle?

from the data it is a right triangle, 10 cm is the hypotenuse

so

1/2 (6 * 8) =

1/2 * 48 =

24 units²

Answer:

yes.

Step-by-step explanation:

if the variable has a number in the problem, yes.

if the variable has no known value, you can't solve it, but you can solve everything else. so yes.

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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The mentioned statement about the distance of t statistic stating that the difference between two population averages is statistically significant is true.

Statistical significance refers to analysis that the obtained data occurs by reason and logic. It confirms that stated fact won't occur by chance, which if happens, will decrease the value of hypothesis.

Statistical hypothesis testing generates p-value which is used for determination. Generally speaking, the p-value with the measure 5% or lower is assumed to be statistically significant.

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Answer: Use a variable

w

to represent the width of the room.

From the given information find that

10

w

=

80

, hence

w

=

8

.

So the room is

8

meters by

32

meters.

Explanation:

Let

w

represent the width of the room in meters.

Then the length of the room is

4

w

.

So the perimeter of the room is

w

+

4

w

+

w

+

4

w

=

10

w

.

Given that the perimeter is

80

meters, that translates as:

10

w

=

80

Divide both sides by

10

to get

w

=

8

.

Hence the width of the room is

8

meters and the length is

4

w

=

32

meters.

Step-by-step explanation:

The dimensions of the room are 5 meters long and 5 meters wide.

The perimeter of a rectangular room is equal to twice the sum of its length and width. In this case, the perimeter of the rectangular room is equal to 2 x (length + width) =  10 meters.

Therefore, we can write:
2 x (L + W) = 10

To find the dimensions of the room, we need to solve the equation for L and W.
L + W = 5
L = 5 - W

Substitute this equation for L in the original equation:
2 x (5 - W + W) = 10
2 x (5) = 10
10 = 10

Therefore, L = 5 and W = 5, so the dimensions of the room are 5 meters long and 5 meters wide.

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Answer:

1967 or 2069

Step-by-step explanation:

To do this, you need to equal the expressions:

3x^2+53x+261=4x^2-52x+212

now, solve for y, when x=0:

-1(0)^2+53(0)+261=4(0)^2-52(0)+212

0+0+261=0-0+212

261=212

the difference is 49, so 49 years before or after 2016.

i think i did this right, if not im sorry bc im tired

The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

\(\mathbf{Area = 169.74}\) --- the area of the hexagon

\(\mathbf{a = 7}\) -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

\(\mathbf{Area = \frac 12 pa}\)

Substitute values for Area and (a)

\(\mathbf{169.74 = \frac 12 \times p \times 7}\)

Multiply both sides by 2

\(\mathbf{339.48= p \times 7}\)

Divide both sides by 7

\(\mathbf{48.5= p }\)

Rewrite as:

\(\mathbf{p = 48.5}\)

Hence, the perimeter of the hexagon is 48.5 ft

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Answer:

See below

Step-by-step explanation:

When x = 0   you will find the y-axis intercept to be

  y = 5 - 0

    y  = 5

when y = 0 you will find the x - axis intercept to be

 0 = 5 - x

  x = 5

Answer:

P(white ball)=0.29

Step-by-step explanation:

12 yellow balls

5 red balls

7 white balls

12+5+7=24

so 24 balls in the bag

\(\frac{7}{24}\)=0.2916

rounded to the nearest is 0.29

The amount in the amount when the man retires at age 67 is $ 205826.88.Principal amount = $2000,Quarterly deposit = 4 times of $2000 = $8000Number of quarters = (61 - 47) × 4

= 56 yearsInterest rate per quarter5/4

= 1.25%Total amount after 56 yearsS

= P(1 + i/n)^(n × t) + PMT[(1 + i/n)^(n × t) - 1] × (n/i)Where,P is principal amount = $2000i is  interest rate per quarter = 1.25/100

= 0.0125n is number of times interest is compounded per year   4t is  time in years . 56 yearsPMT is  payment at the end of each quarter

= $2000S

= 2000(1 + 0.0125/4)^(4 × 56) + 2000[(1 + 0.0125/4)^(4 × 56) - 1] × (4/0.0125) = $205826.88Therefore, the amount in the account when the man retires at age 67 is $205826.88.Suppose a 40-year-old person deposits $8,000 per year in an Individual Retirement Account until age 65. Find the total in the account with the following assumption of an interest rate ,Payment at the end of each quarter (PMT) = $8000/4 = $2000Number of quarters = (65 - 40) × 4 = 100Interest rate per quarter = 6/4 = 1.5%Amount in the account after 100 quartersS

= PMT[(1 + i/n)^(n × t) - 1] × (n/i) + PMT × (1 + i/n)^(n × t)Where,PMT = payment at the end of each quarter = $2000i = interest rate per quarter = 1.5/100 = 0.015n = number of times interest is compounded per year = 4t = time in years = 25 yearsS = 2000[(1 + 0.015/4)^(4 × 25) - 1] × (4/0.015) + 2000 × (1 + 0.015/4)^(4 × 25)

= $739685.60Total interest earned = Total amount in the account - Total amount deposited= $739685.60 - $2000 × 4 × 25 = $639685.60Therefore, the total amount in the account is $739685.60. The total interest earned is $639685.60.Amir deposits $15,000 at the beginning of each year for 15 years in an account paying 5% compounded annually. He then puts the total amount on deposit in another account paying 9% compounded semiannually for another 12 years. Find the final amount on deposit after the entire 27-year period.The main answer is the final amount on deposit after the entire 27-year period is $794287.54.

Deposit at the beginning of each year = $15,000Interest rate per annum = 5%Time = 15 yearsInterest rate per semi-annum = 9/2 = 4.5%Time = 12 yearsAmount on deposit after 15 yearsS1 = P[(1 + i)^n - 1]/iWhere,P = deposit at the beginning of each year = $15,000i = interest rate per annum = 5% = 0.05n = number of years = 15S1 = 15000[(1 + 0.05)^15 - 1]/0.05 = $341330.28 Interest earned in the 15 years = $341330.28 - $15,000 × 15 = $244330.28Amount on deposit after 27 yearsS2 = S1(1 + i)^tWhere,i = interest rate per semi-annum = 4.5% = 0.045t = time in semi-annum = 24S2 = 341330.28(1 + 0.045)^24 = $794287.54Therefore, the final amount on deposit after the entire 27-year period is $794287.54.

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Answer: so liek it go liek uh it go liek dis so fisrt u uh uh uh uh uhuh uh u  huuh  uh tbh i dont get it too

Step-by-step explanation: yw

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

Given the data set:

2, 5, 7, 2, 11, 13, 5, 7, 1, 10, 10, 2, 3, 5, 1, 11

Let's find the box plot that correctly displays the data set shown.

Therefore, there are 24,387,120 different line-ups permutation that can be made with 17 players for 9 positions.

The number of different line-ups that can be made with 17 players for 9 positions can be calculated using the permutation formula:

P(17, 9) = 17! / (17 - 9)!

where "!" represents the factorial function.

P(17, 9) = 17! / 8!

= (17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9) / (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8)

= 24,387,120

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