Solve for 10 points.

Use this simple calcula tor to find the area and perimeter of a rectangle. ... Suppose the length is a = 6 inches and the width is b = 4 inches.

Answer:

6x = 4

Step-by-step explanation:

4x-3=2x+7

group like terms:

4x +2x = -3+7

solve:

6x =  4

Answer:

6.3

Step-by-step explanation:

35.91/5.7 = 6.3

it looks like a regular parallelogram, meaning that w * l = A

Answer:

6.3 I think

Step-by-step explanation:

Divide the area by the side length
please mark brainlest!

Answer:

x = 8

Explanation:

f(x) = g(x)

Given:

solve:

-20x + 11 =  -19x + 3

-20x + 19x = 3 - 11

-x = -8

x = 8

Using the hypergeometric distribution, it is found that the distribution is:

P(X = 0) = 0.0152

P(X = 1) = 0.1818

P(X = 2) = 0.4545

P(X = 3) = 0.3030

P(X = 4) = 0.0455

Hence:

A) There is a 0.0455 = 4.55% probability that all selected rats are female.

B) There is a 0.1818 = 18.18% probability that only one of the selected rats is female.

C) There is a 0.803 = 80.3% probability that at least two of the selected rats is female.

D) The mean of the probability distribution is of 2.18.

E) The standard deviation of the probability distribution is of 0.833.

The rats are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

The formula is:

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The distribution is the probability of each outcome, hence:

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

[tex]P(X = 0) = h(0,11,4,6) = \frac{C_{6,0}C_{5,4}}{C_{11,4}} = 0.0152[/tex]

[tex]P(X = 1) = h(1,11,4,6) = \frac{C_{6,1}C_{5,3}}{C_{11,4}} = 0.1818[/tex]

[tex]P(X = 2) = h(2,11,4,6) = \frac{C_{6,2}C_{5,2}}{C_{11,4}} = 0.4545[/tex]

[tex]P(X = 3) = h(3,11,4,6) = \frac{C_{6,3}C_{5,1}}{C_{11,4}} = 0.3030[/tex]

[tex]P(X = 4) = h(4,11,4,6) = \frac{C_{6,4}C_{5,0}}{C_{11,4}} = 0.0455[/tex]

Item a:

P(X = 4) = 0.0455, hence:

There is a 0.0455 = 4.55% probability that all selected rats are female.

Item b:

P(X = 1) = 0.1818, hence:

There is a 0.1818 = 18.18% probability that only one of the selected rats is female.

Item c:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.4545 + 0.3030 + 0.0455 = 0.803[/tex]

There is a 0.803 = 80.3% probability that at least two of the selected rats is female.

Item d:

The mean of the hypergeometric distribution is:

[tex]\mu = \frac{nk}{N}[/tex]

Hence:

[tex]\mu = \frac{4(6)}{11} = 2.18[/tex]

The mean of the probability distribution is of 2.18.

Item e:

The standard deviation of the hypergeometric distribution is:

[tex]\sigma = \sqrt{\frac{nk(N-k)(N-n)}{N^2(N-1)}}[/tex]

Hence:

[tex]\sigma = \sqrt{\frac{4(6)(11-6)(11-4)}{11^2(11-1)}} = 0.833[/tex]

The standard deviation of the probability distribution is of 0.833.

More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394

Answer:

Part A: 25%
Part B: 40%

Step-by-step explanation:

Given the following questions:

$240000 for a studio apartment
$60000 as a down payment.

In order to find the answer, we use the formula to calculate the percentage for the total cost of the studio apartment and the down payment.

Part A:
[tex]\frac{c\times n}{100}[/tex]
[tex]\frac{25\times240000}{100} =25\times240000=60000[/tex]
[tex]=60000[/tex]

Part B:
[tex]\frac{c\times n}{100}[/tex]
[tex]\frac{40\times240000}{100} =40\times240000=9600000\div100=96000[/tex]
[tex]=96000[/tex]

The percent of a down payment of $60,000 for a $240,000 studio apartment is "25%." While the percent of a $96,000 dollar down payment for a $240,000 studio apartment is "40%."

Hope this helps.

Answer:

30

Step-by-step explanation:

x = 4

=> 4x + 14

=>  4(4) + 14

=> 16 + 14

=> 30

Answer:

30

Step-by-step explanation:

x = 4

=> 4x + 14

=>  4(4) + 14

=> 16 + 14

=> 30

Answer:

[tex]2r-2s[/tex]

Step-by-step explanation:

Start by removing the parentheses:

[tex](r-s)-(s-t)-(t-r)\\r-s-(s)-(-t)-t-(-r)[/tex]

Note that two negatives make a positive.

[tex]r-s-s+t-t+r[/tex]

Combine like terms

[tex]r+r-s-s+t-t\\2r-2s[/tex]

Yes hello hope it helpsyaaaaaaa

Answer:

The first one!:)

Step-by-step explanation:

Its a straight line thats goes up at an even rate

Answer:

$275

Step-by-step explanation:

Add 250+25 which equals 275

Answer:

Write an equation in slope-intercept form of the line that passes through the points (-3,-7) and (1,9)yes

Step-by-step explanation:

Write an equation in slope-intercept form of the line that passes through the points (-3,-7) and (1,9)

10 less than 5 times the value of a number -> 5a - 10
10 times the quantity of 12 more than one-fourth of a number -> 10(12+1/4a)

We have :
5a - 10 = 10(12 + 1/4a)
5a - 10 - [10(12 + 1/4a)] = 0
5a - 10 - (120 + 5/2a) = 0
5a -10 - 120 - 5/2a = 0

Group : (5a-5/2a) - (10 + 120) = 0
5/2a - 130 = 0
5/2a = 130 -> a = 130 : 5/2 = 52

Recheck : 5 x 52 - 10 = 250
10 x (12 + 1/4 x 52) = 10 x (12 + 13) = 10 x 25 = 250

Answer:

6/9

Step-by-step explanation:

6 numbers including 29 are odd

Point G is rotated 90°. The coordinate of the pre-image point G was (7, -5), and its image G' is at the coordinate (5, 7).

Answer:

look at the pic below and just connect the points

Step-by-step explanation:

Answer:

the right answer is d)40 because supplementary=180,180-140=40

Given : -

So, <B = 180° - 140° = 40°✅

»Option (D.)

Answer:

19

Step-by-step explanation:

tigers=38 goals

clubs=19 fewer than tigers

equation: 38-19=19

Answer:

The answer is -    a = b - 18

Step-by-step explanation:

Have a nice day.

Answer:

I understand your fear sis

Step-by-step explanation:

im in. filed of dandelions wishing

Answer:

Step-by-step explanation:

Both groups are extremists within the left and right wing. Please put in comment if you need longer answer.

Answer:

2x - 4y = 8

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

4y = 2x - 8 ( subtract 2x from both sides )

- 2x + 4y = - 8 ( multiply through by - 1 )

2x - 4y = 8 ← in standard form

Answer:

35

Step-by-step explanation:

Just divide 350 by 10 since it asks, "How many miles per gallon".  

= 35

Answer:

Step-by-step explanation:

For a set of numbers to be a side of a triangle, two of the numbers must add up to greater than the third number. And that must be repeated for all the numbers.

Right of the bat, we notice the bottom left choice is the answer because 15 plus 27 is less than 43.

Hope that helps!

Answer:

the answer is mean and the median

Step-by-step explanation:

hope it helps

Answer:

$125 and hour - (528.75 - 60) / 3.75

Step-by-step explanation:

Since the total includes the $60 for the parts, we have to subtract 60 from 528.75. Once we've found the difference (468.75), we can divide by the amount of hours (3.75). That leaves us with the answer, $125.

Answer:

T = third option

is the answer i think

Answer:

3

Step-by-step explanation:

4 x 6 = 24

24 divided by 8 = 3

3 x 8 = 24

Answer:

  112 m

Step-by-step explanation:

The angle of depression from the pole position is the same as the angle of elevation from the boat position. So, the problem statement gives us an angle and horizontal and vertical legs of a right triangle. The relation between them is given by the tangent function.

  Tan = Opposite/Adjacent

If we let (3/4h) represent the length of the side opposite the given angle, and 120 m the side adjacent, we have ...

  tan(35°) = (3/4h)/(120 m)

Multiplying by the inverse of the coefficient of h, we get ...

  h = (160 m)tan(35°) ≈ 112 m

The height of the pole is about 112 meters.