Without doing the calculations, determine whether -47-(-33) or -47+(-33) is greater

Answer:

the probability that the rack ends up in alphabetical order is 0.0001984

Step-by-step explanation:

Given that:

You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.

Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.

From above; all possible permutations of size 7 we can derive from 24 is

24P7

Similarly,we are meant  to estimate  all the possible ways a unique set of 7 things can be gotten from a total of 24

i.e

24 C7

∴

The probability = [tex]\dfrac{^{24}{C}_7}{^{24}{P}_7}[/tex]

= [tex]\dfrac{\dfrac{24!}{7!(24-7)!} }{ \dfrac{24!}{(24-7)!} }[/tex]

=[tex]\dfrac{\dfrac{24!}{7!(17)!} }{ \dfrac{24!}{(17)!} }[/tex]

= [tex]\dfrac{346104}{ 1.74436416 \times 10^9}[/tex]

= 0.0001984

the probability that the rack ends up in alphabetical order is 0.0001984

The probability that the rack ends up in alphabetical order is 0.0001984

The total number of CD is given as:

[tex]\mathbf{n = 24}[/tex]

The number of CDs to select is given as:

[tex]\mathbf{r = 7}[/tex]

The number of arrangement of 7CDs in 24 is represented as 24P7

So, we have:

[tex]\mathbf{^{24}P_7 = \frac{24!}{(24 - 7)!}}[/tex]

[tex]\mathbf{^{24}P_7 = \frac{24!}{17!}}[/tex]

Simplify

[tex]\mathbf{^{24}P_7 =1744364160}[/tex]

The number of selecting 7 CDs from 24 is represented as 24C7

So, we have:

[tex]\mathbf{^{24}C_7 = \frac{24!}{(24 - 7)!7!}}[/tex]

[tex]\mathbf{^{24}C_7 = \frac{24!}{17!!7}}[/tex]

Simplify

[tex]\mathbf{^{24}C_7 =346104}[/tex]

So, the probability is:

[tex]\mathbf{Pr = \frac{346104}{1744364160}}[/tex]

Divide

[tex]\mathbf{Pr = 0.0001984}[/tex]

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Answer:

30r-18

Step-by-step explanation:

6*5=30

6*3=18

Answer:

30r-18

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf - 4x + 19}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5(x + 3) - (9x - 4)}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{5x + 15 - (9x - 4)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{5x + 15 - 9x + 4}[/tex]

Collect like terms

⇒[tex] \sf{5x - 9x + 15 + 4}[/tex]

⇒[tex] \sf{ - 4x + 15 + 4}[/tex]

Add the numbers : 15 and 4

⇒[tex] \sf{ - 4x + 19}[/tex]

Hope I helped!

Best regards!!

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

[tex]x=9\\\text{Hypotenuse}=x\sqrt2\\\text{Hypotenuse}=9\sqrt2[/tex]

The ? is 9.

Answer: 9

Step-by-step explanation:

Answer: 3.8 * 10^-3 (10 to the negative third power)

Step-by-step explanation:

First, you would find the leading digit which is 3. Then, include the following digits after the decimal. The following digit is 8 so you have 3.8. After that, you count how many places the decimal point would move until it's after three. (3 places) And since the number is smaller than 1, the exponent is negative.

Answer:

34416

Step-by-step explanation:

.72(percentage) × 47800(people)

34416

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Standard form is numbers only.

Examples of standard numbers are 4, 225, or 9,002

A thousands number has 4 digits.

A hundreds number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the ones digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Three hundred thousand, two hundred one written in standard form is 300,201.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

A thousand number has 4 digits.

A hundred number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the one digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

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Answer:

[tex]\Huge \boxed{\mathrm{60 \ cm^2 }}[/tex]

Step-by-step explanation:

Area of a rectangle is length × width.

The length of the rectangle is 10 cm.

The width of the rectangle is 6 cm.

[tex]\Rightarrow 10 \cdot 6 \\\\\\ \Rightarrow 60[/tex]

The area of the rectangle is 60 cm².

Answer:

60cm is the answer

Step-by-step explanation:

Area of a rectangle is length × width.

so..... The length of the rectangle is 10 cm.

And the width of the rectangle is 6 cm.

so... 10x6=60 cm

Answer:

$898

Step-by-step explanation:

Easy, 546 + 352 =

898

Answer:

Part A:

Probability that average single manager beat the index= [tex](0.5)^7=0.0078125=0.0078 (4\ decimals)[/tex]

Part B:

Fund Managers to beat index 7 years=78.125≅78 managers.

Step-by-step explanation:

Part A:

Given data:

Since there are equal chances for delivering equal better performance and of under performance so

Probability of better performance =0.5

Required:

Probability that the average single fund managers beats the index 7 years in a row (before fees)=?

Solution:

Since there is 7 year index:

Probability that average single manager beat the index= [tex](0.5)^7=0.0078125=0.0078 (4\ decimals)[/tex]

Part B:

Given Data:

Number of mutual fund managers=10,000

Probability that average single manager beat the index= 0.0078125 (Calculated in part A)

Required:

How many fund managers would you expect to beat the index 7 years in a row if only luck and no skill was involved?

Solution:

Fund Managers to beat index 7 years=Total number of managers*probability  average single member beat the index

Fund Managers to beat index 7 years=10,000*0.0078125

Fund Managers to beat index 7 years=78.125≅78 managers.

Answer:

i think b is answer. i think this is useful to you

Answer:

The area of P is 9 times the area of Q

Step-by-step explanation:

From P to Q

The side lengths are

6 : 2

Divide each side by 2

3:1

From length to area we square the scale factor

3^2 : 1^2

9 : 1

P to Q area is 9 to 1

The area of P is 9 times the area of Q

Answer:

- 14, - 7 or 7, 14

Step-by-step explanation:

Let the the two integers be x and (x + 7)

[tex] \therefore \: x(x + 7) = 98 \\ {x}^{2} + 7x - 98 = 0 \\ {x}^{2} + 14x - 7x - 98 = 0 \\ x(x + 14) - 7(x + 14) = 0 \\ (x + 14)(x - 7) = 0 \\ (x + 14) = 0 \: or \: (x - 7) = 0 \\ x = - 14 \: or \: x = 7 \\ \\ when \: x = - 14 \\ x + 7 = - 14 + 7 = - 7 \\ \\ when \: x = 7 \\ x + 7 = 7 + 7 = 14 \\ [/tex]

Hence the required integers are - 14, - 7 or 7, 14

Answer:

32100

Step-by-step explanation:

hope this helps

sorry if its wrong

Answer:

24

Step-by-step explanation:

Assuming you want to find a mean, the answer is: 24 (sum of all values/number of values)

Range is largest-smallest

Median is middle value

Answer:

U should delete the q btw

Use 5 as the value of x

Step-by-step explanation:

Answer: it’s A. -8

Step-by-step explanation: just took the test on edge

Answer:

26 and 36.

Step-by-step explanation:

Let the two whole numbers be a and b. Thus, the product of them is 936 while their sum is 62. In equations, this is:

[tex]ab=936\\a+b=62[/tex]

This is a system of equations. To solve, subtract either a or b from the second equation and substitute it into the first.

For instance, subtract b from both sides in the second equation:

[tex]a+b=62\\a=62-b[/tex]

Substitute this into the first equation:

[tex](62-b)(b)=936[/tex]

Distribute:

[tex]62b-b^2=936[/tex]

Rearrange:

[tex]-b^2+62b=936[/tex]

Divide everything by -1 to make the leading coefficient positive:

[tex]b^2-62b=-936[/tex]

Add 936 to both sides:

[tex]b^2-62b+936=0[/tex]

This is now a quadratic. Solve for b.

To do so, we can factor.

After a bit of testing, we can see that -36 and -26 are possible. Thus:

[tex](b-26)(b-36)=0[/tex]

For for b:

[tex]b=26\text{ or } b=36[/tex]

Thus, b is 26 or 36.

Now, plug these back into the isolated equation to solve for a:

[tex]a=62-b\\a=62-(26) \text{ or } a=62-(36)\\a=36\text{ or } a=26[/tex]

It doesn't really matter which one we choose since they're the same.

Thus, the answer is 26 and 36.

Answer:

7.77%(m/m) ; 92.22%(m/m)

Step-by-step explanation:

Given that:

17.5 grams of sugar in 225 grams of an aqueous sugar solution

Percentage by mass of A in a solution (mass percent) = (mass of A / total mass of solution) × 100

Hence,

Percentage by mass of sugar:

= (mass of sugar / total mass of solution) * 100

= (17.5 / 225) × 100

= 0.0777777 × 100 = 7.77%(m/m)

Mass of water(solvent) = (225 - 17.5)g = 207.5g

= (207.5 / 225) × 100

= 0.922222 × 100 = 92.22%(m/m)

Answer:

D.13-2x

Step-by-step explanation:

[tex]10-\left(2x-3\right)\\\\-\left(2x-3\right):\quad -2x+3\\=10-2x+3\\\\\mathrm{Simplify}\:10-2x+3:\\\quad -2x+13[/tex]

Answer:

13 -2x

Step-by-step explanation:

10-(2x-3)

Distribute the minus sign

10 -2x +3

Combine like terms

13 -2x

Answer:

Step-by-step explanation:

50

Answer: (-4, -3)

Step-by-step explanation:

The original coordinate of J is (4, -3)

Since it is reflex over y-axis, the y value remains.

For the x value, it is originally 4 units away from the y-axis positively, thus, after reflexing, it will be 4 units away from the y-axis negatively.

The new coordinate of J' is (-4, -3)

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

The area of the rectangular floor is the product of its length and width:

  A = LW = (21 ft)(9 ft) = 189 ft²

The volume of the pod is the product of that floor area and the height:

  V = Bh = (189 ft²)(7 ft) = 1323 ft³

The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.

Answer:

Step-by-step explanation:

Let us consider a data of prevalent diseases.

If the false positive rate is P(Test + | N) = 0.04

Therefore, sensitivity is defined as the probability of a positive test result given the presence of the disease. This can be written as: P (positive test | disease present).

Specificity is defined as the probability of a negative test result given absence of disease, that is, P (negativetest | diseaseabsent). PPV is defined as the probability of the presence of disease given a positive test result, ie, P (disease present | positivetest).

Answer:

[tex] x = \pm \sqrt{19} [/tex]

[tex] x = \pm 4.36 [/tex]

Step-by-step explanation:

[tex] x^2 = 19 [/tex]

[tex] x = \pm \sqrt{19} [/tex]

[tex] x = \pm 4.36 [/tex]

The exact solution is 4.36.

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value. Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

Given:

x² = 19

On taking root on both side

√x² = √19

x= √19

x = 4.3588

Hence, the exact solution and its approximation rounded to two decimal places is 4.36.

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Answer:

$440

Step-by-step explanation:

You need to find the unit rate by dividing how much he earned (88)by how many hours he worked (8) which equals $11 per hour.Then you take the unit rate (11) and multiply it by 40 which equals $440.

Answer:

17

Step-by-step explanation:

(60b divided by 5) + c

(60(1/2) divided by 5) + 11

(30 divided by 5) + 11

6 + 11

17

Answer:

1)77              2)90

Step-by-step explanation:

1)take 11 common

therefore, 11(3.5+1.9+1.6)

               =11(7)

               =77                         (multiply 11 with 7)

2)First solve the numbers in bracket

20 +( 3×11 )+ 5 +( 2×16)

=20+33+5+32

=90

Answer:

they gave 18 donuts to the school.

Answer:

2 dozen= 24 + 6 = 30 donut.

Options :

a mean - 40, median - 50, mode - 60

b. mean-60, median - 50, mode - 40

c. mean - 40, median-60, mode - 50

d. mean - 50, median - 50, mode - 50

Answer: mean - 40, median - 50, mode - 60

Step-by-step explanation: A negatively skewed distribution is characterized by it long tail being positioned to the left(negative direction) with its peak positioned to the right (positive direction) of the distribution. On a general note, the mean is always positioned towards the left or negative side if the peak, with the median coming next and usually positioned to the right of the mean and the mode positioned to the right side of the median.

Hence, for a negatively skewed distribution, the mean has the least value followed by the median, with the mode boasting the highest.

That is : mean < median < mode