Please help me with the last mat problem this very hard for me to undestand please anyone

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.

Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,

⁹C₅ = 9! / [(9 - 5)! x 5!]

⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)

⁹C₅ = 126

Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,

⁹P₅ = 9! / [(9 - 5)!

⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!

⁹P₅ = 15,120

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

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Answer:

x ≈ 18.3°

Step-by-step explanation:

Reference angle = x

Opposite side = 11

Hypotenuse = 35

Apply SOH:

Sin x = opp/hyp

Sin x = 11/35

[tex] x = sin^{-1}(\frac{11}{35}) [/tex]

x ≈ 18.3°

Answer:

1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator GCD of 18 and 72 is 18

Divide both the numerator and denominator by the GCD 18 ÷ 18 / 72 ÷ 18

Reduced fraction: 1 / 4 Therefore, 18/72 simplified to lowest terms is 1/4.

Answer:

-9<x<0

Step-by-step explanation:

-28 < 2x- 10 < -10 and  2x- 10 < -10

Find the interval of ;

-28< 2x- 10

The interval for this equation is;

x>-9

Find the interval of;

2x-10<-10

The interval for this equation is;

x<0

Combine the intervals;

x>-9 and x<0

Merge overlapping Intervals;

-9<x<0

Answer:

-38 + 24

Step-by-step explanation:

-40x + 24 + 2x

= -38x + 24

Answer:

54932540-476715.jpeg

A study of stroke patients who survived 6 months after the stroke found that 6/45 men and 22/63 women lived in an institution (e.g., nursing home or assisted living facility).  What is the risk difference of living in an institution between men and women (using men as the reference group)?

Data (1=males, 2 =females)

temp sex Heart rate

96.3 1 70

96.7 1 71

96.9 1 74

97 1 80

97.1 1 73

97.1 1 75

97.1 1 82

97.2 1 64

97.3 1 69

97.4 1 70

97.4 1 68

97.4 1 72

97.4 1 78

97.5 1 70

97.5 1 75

97.6 1 74

97.6 1 69

97.6 1 73

97.7 1 77

97.8 1 58

97.8 1 73

97.8 1 65

97.8 1 74

97.9 1 76

97.9 1 72

98 1 78

98 1 71

98 1 74

98 1 67

98 1 64

98 1 78

98.1 1 73

98.1 1 67

98.2 1 66

98.2 1 64

98.2 1 71

98.2 1 72

98.3 1 86

98.3 1 72

98.4 1 68

98.4 1 70

98.4 1 82

98.4 1 84

98.5 1 68

98.5 1 71

98.6 2 77

98.6 1 78

98.6 1 83

98.6 2 66

98.6 1 70

98.6 1 82

98.7 2 73

98.7 1 78

98.8 1 78

98.8 1 81

98.8 2 78

98.9 1 80

99 2 75

99 2 79

99 1 81

99.1 1 71

99.2 1 83

99.3 1 63

99.4 1 70

99.5 1 75

96.4 2 69

96.7 2 62

96.8 1 75

97.2 1 66

97.2 2 68

97.4 2 57

97.6 1 61

97.7 2 84

97.7 1 61

97.8 2 77

97.8 2 62

97.8 2 71

97.9 1 68

97.9 2 69

97.9 2 79

98 2 76

98 1 87

98 2 78

98 2 73

98 2 89

98.1 2 81

98.2 2 73

98.2 2 64

98.2 2 65

98.2 2 73

98.2 2 69

98.2 2 57

98.3 2 79

98.3 2 78

98.3 2 80

98.4 2 79

98.4 2 81

98.4 2 73

98.4 2 74

98.4 2 84

98.5 2 83

98.6 2 82

98.6 2 85

98.6 2 86

98.6 2 77

98.7 2 72

98.7 2 79

98.7 2 59

98.7 2 64

98.7 2 65

98.7 2 82

98.8 2 64

98.8 2 70

98.8 2 83

98.8 2 89

98.8 2 69

98.8 2 73

98.8 2 84

98.9 2 76

99 2 79

99 2 81

99.1 2 80

99.1 2 74

99.2 2 77

99.2 2 66

99.3 2 68

99.4 2 77

99.9 2 79

100 2 78

100.8 2 77

Step-by-step explanation:

Answer:

fals it would be 11

Step-by-step explanation:

11 x 3 = 33

3 x 11 = 33

33 divide 11 = 3

33 divide 3 = 11

Answer:

I think it's true

Step-by-step explanation:

my answer also coming 33 l think so..

it's true

Answer:

14.28 ft

Step-by-step explanation:

Perimeter of the shaded region = 2(side of the square) + ¼(circumference of circle)

Side of the square = 4 ft

Circumference of circle = 2πr

r = 4

Circumference = 2*π*4 = 25.1327412 ft

✔️Perimeter of the shaded region = 2(4) + ¼(25.1327412) = 14.2831853 ≈ 14.28 ft (nearest hundredth)

Answer:

What equation...................wait nvm

Answer:

$85

Step-by-step explanation:

Divide 15% by $12.75

Change 15% into a decimal by multiplying it by 100

$12.75/0.15= $85

Answer:

The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

Answer:

Good sir/madam, in a fraction, it is always rise over run.

Answer:

7.5 kilograms of apples

Step-by-step explanation:

Take the total amount and subtract the amount of pears.

8.9-1.4=7.5

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

if apples are 2/5, then pears are 3/5.  3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears

Answer:

The answer is: 2/4

Step-by-step explanation:

There are a total of 4 panda bears, which makes 2 males and 2 females.

By making a fraction, you can say there are 2 panda bears, out of four.

Answer: 180ft

Step-by-step explanation:

Answer:

A) 30 in³

B) V=lwh (or) V+5x3x2

C) 3 times

Step-by-step explanation:

A) 30in³

B) V=LWH (or) V+5x3x2

C) V=[tex]\pi[/tex]r²h = [tex]\pi[/tex](2.6²)(4) = 84.94867

85.94867÷30= 2.83, so he’d need to fill the rectangular prism 3 times.

Answer:

a. 30 in³

b. V = whl

c. 3 times

Step-by-step explanation:

a. v = whl

V = (3 in)(2 in)(5 in)

V= 30 in³

b. V = whl

c. Volume of the cylinder = pi(r²)h            r = d/2 = 5.2 / 2 = 2.6

Vc = pi (2.6²)(4)

Vc ≈ 84.94 in³

84.94 in³/30 in³ ≈ 3 times

Answer:

cos 45 degree = A/H

cos 45 degree =  2 square root 2 / x

x = 2 square root 2 / cos 45 degree

x = 4

Sin 45 degree = O/H

Sin 45 degree = y/ 4

4 x Sin 45 degree = y

y = 2.83

or

we could use tan

tan 45 degree = O/A

tan 45 degree = y / 2 square root 2

2 square root 2 x tan 45 degree = y

y = 2.83

i hope this would elp a little bit.

Answer:

a) The sample mean is 47 dollars, while the claimed population mean is 70 dollars.

b) The sample mean is 3.75, while the claimed population mean is 3.48.

Step-by-step explanation:

Question a)

American households spent an average of about $70 in 2007 on Halloween merchandise such as costumes, decorations and candy means that the claimed population mean is 70 dollars.

The survey included 2100 households and found that average Halloween spending was $47 per household means that the sample mean is 47 dollars.

The sample mean is 47 dollars, while the claimed population mean is 70 dollars.

Question b)

The average GPA of students in 2001 at a private university was 3.38 means that the claimed population mean is 3.38.

The survey yielded an average GPA of 3.75 means that the sample mean is 3.75.

The sample mean is 3.75, while the claimed population mean is 3.48.

Answer:

268

Step-by-step explanation:

Answer:39

Step-by-step explanation: yes

Answer:

2/7

Step-by-step explanation:

-1 1/7 + 6/7 = -8/7 + 6/7 = 2/7

x+x+90=180

x+x+90=1802x+90=180

x+x+90=1802x+90=1802x=180-90

x+x+90=1802x+90=1802x=180-902x=90

x+x+90=1802x+90=1802x=180-902x=902x/2x =90/2

x=45

9y+9y+90=180

18y+90=180

18y=180-90

18y=90

18y/18 =90/18

y=5

Answer:

7 square miles

Step-by-step explanation:

Answer:

I think its the right shape being the trapezoid

Step-by-step explanation:

the triangle looks like a triangle but then the reason why I said I think it's the on the right is because the acute angle makes it look like a trapezoid but then on the other side it has a right angle but I think its the right side.

Answer:

D

Step-by-step explanation:

Answer:

k=7.3

Step-by-step explanation:

6k=44

k= 44÷6

k=7.3

Answer:

At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.

Step-by-step explanation:

Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :

100 - 20 = 80

Year 0 = 8 million

Year 1 = 8 x 0.8 = 6.4 million

Year 2 = 6.4 x 0.8 = 5.12 million

Year 3 = 5.12 x 0.8 = 4,096 million

Year 4 = 4.096 x 0.8 = 3.2768 million

Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(X+5) = 144   (if on side measures (x+5)  then P will be the 4 sides added

                        so adding the same value repeatedly means multiplication.

 -  Distribute:  4x + 20 = 144

-     Inverse op. to isolate the variable minus 20 from both sides

-     4x = 124

-     Divide by 4 on both sides

-      124/4 = 31

-      x = 31 units

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Actually Welcome to the Concept of the volumes.

Here given as, r= 6.2 mm, h = 10.8 mm, π=3.14

hence, the volume of the cone is

Volume = 1/3(πr^2h)

===> vol = 1/3(3.14*(6.2)^2*(10.8))

==> Vol = 1/3*(1303.57)

==> Vol = 434.52 mm^3

Hence the volume of the cone is 434.52 mm^3

Answer:

42−4

Step-by-step explanation:

Answer:

4t^2 −4t

Step-by-step explanation:

t(4t−4)

Use the distributive property to multiply t by 4t−4.

4t^2 −4t

Answer:

3) (x+6)(x+3)=0

4) (x+2)(x-6)=0

Step-by-step explanation: