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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The statement of proportionality tells you ...

  m = kr³

The values in the fourth column can tell the value of k:

  k = m/r³ = 6.75/1.5³ = 2

Then we have ...

  m = 2r³

Solving for r gives ...

  m/2 = r³

  r = ∛(m/2)

These two relations were used to fill in the spaces in the table. (It is convenient to let a spreadsheet do the calculations.)

The answer is 56. work is shown below.

Step 1: apply 2nd power to everything inside parentheses

(7 - 1)² = 7² - 1²

Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).

1 x 1 = 1

7 x 7 = 49

Step 3: subtract

49 - 1 = 48

Step 4: apply exponent

2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)

2 x 2 = 4

2 x 2 = 4

4 x 4 = 16

2⁴ = 16

Step 5: add

48 + 16 = 64

Step 6 (final step): subtract

64 - 8 = 56

final answer: 56

The appropriate distribution of the percentages are :

P(μ-2σ≤x≤μ) = 47.5%

P(μ-σ≤x≤μ+σ) = 68%

P(μ-2σ≤x) = 2.5%

P(μ-2σ≤x≤μ-σ) = 13.5%

For a normal distribution :

The mean, μ = 0

The mean, μ = 0The standard deviation, σ = 1

Therefore :

P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)

P(x≤μ) - P(x≤μ-2σ)

P(Z ≤ μ) - P(Z ≤ 2(1))

P(Z ≤ 0) - P(Z ≤ 2)

Using the normal distribution table :

0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)

P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)

P(x≤μ+σ) - P(x≤μ-σ)

P(Z ≤ μ+σ) - P(Z ≤ μ-σ)

P(Z ≤ (0+1) - P(Z ≤ 0-1)

P(Z ≤ 1) - P(Z ≤ - 1)

Using the normal distribution table /

0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)

P(μ-2σ≤x) = P(μ-2σ)

P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))

P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)

P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)

P(x≤μ-σ) - P(x≤μ-2σ)

P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)

P(Z ≤ (0-1) - P(Z ≤ 0-2(1))

P(Z ≤ -1) - P(Z ≤ -2)

From normal distribution table :

0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%

Learn more : https://brainly.com/question/14308582

Answer:

Observed: 145

Expected: 107.2

Step-by-step explanation:

to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.

To get the expected frequency, we use the formula:

n equals s a m p l e space s i z e equals 536

p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2

E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2

Answer: 104.5

107.2

Step-by-step explanation:

Answer:

tree is about 18.82 ft high

Step-by-step explanation:

The triangles (that are formed by the tree and the poll with their shadows and the line from top to the end of the shadow) are in proportion because they cast the shadow at the same time.

x/9 = 23/11 , we write the proportions

x = 23*9 / 11, multiply both sides by 9

x ≈ 18.82 ft.

Answer:

50000 5000 200 20 2

Step-by-step explanation:

Answer:

Ramesh asked me,"where do you live?"

Ramesh said to me," where do you live".

Answer:

300 streamers

Step-by-step explanation:

Answer:

The inverse of the function is

[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]

Step-by-step explanation:

let the inverse of f(x) be m:

[tex]m = {2x}^{2} - 4 [/tex]

take 4 to the left hand side ( changes sign to positive ):

[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]

take a square root on all sides:

[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]

substitute x in place of m:

[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]

Answer:

HCF=3

Step-by-step explanation:

Factors of 15t= 3*5*t

Factors of 6s= 2*3*s

HCF= Common factors

common factor = 3

HCF=3

Answer:

Irrational Number is the answer

Answer:

[tex] \sqrt{11 + 10} = \sqrt{22} = 4.69041576 [/tex]

THIS IS IRRATIONAL

Step-by-step explanation:

The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.

I hope this makes sense

:)

Answer:-6+6=0

Step-by-step explanation: basically just put the sentence into an equation.

d=degrees farenheit

-6d+6d =0d

Answer:

if ur wondering on how to solve it u should solve it by an equation.

Step-by-step explanation:

just make sure to explain us answer and the answer is 6+6=0

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

f(x) = 3x - 1

Step-by-step explanation:

[tex]y - 5 = 3(x - 2) \\ y - 5 = 3x - 6 \\ y = 3x - 6 + 5 \\ y = 3x - 1[/tex]

Answer:

Step-by-step explanation:

40905

40509

50095

40059

Is greatest to least. You want it to go the other way around.

40059

40095

40509

40905

The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.

Answer:

[tex] {56x}^{2} [/tex]

Step-by-step explanation:

[tex] - 4 \sqrt{28x} \times \sqrt{ {7x}^{3} } [/tex]

[tex] = -4 \times 2 \sqrt{7x} \times \sqrt{7x} [/tex]

[tex] = - 4 \times 2 \times 7x \times x[/tex]

[tex] = {56x}^{2} [/tex]

Answer:

x = -2 or 5

Step-by-step explanation:

y = (x-3)/((x-5)(x+2))

y is undefined when the denominator is zero.

Answer:

x <_ - 3/0.5 or x > 1

Answer

Answer:

[tex]thank \: you[/tex]

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

Answer:

B. 0.28

Step-by-step explanation:

Add all the sports up and you get 50

14 (soccer players)/50 (total number of students)

14/50 = 28/100 = 0.28

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Answer:

1/12

Step-by-step explanation:

7/12 - 1/2

~Find common denominators

7/12 - 6/12

~Subtract

1/12

Best of Luck!

Answer:

95

Step-by-step explanation:

you can watch answer in photo. by the way where r u from?

Answer:

I hope it helped U

stay safe stay happy ❤️❤️

Answer:

48, 49, 50

Step-by-step explanation:

x + x+1 + x+2 = 147

3x + 3 = 147

3x = 147 - 3

x = 144/3

x = 48

Step-by-step explanation:

27=9x+2-4x

or, 27-2=9x-4x

or,25=5x

or,25/5=X

so, X=5

Step-by-step explanation:

8x=-9

x=-9/8

x+1=-9/8+1

x+1=-1/1

x+1=-1

Answer:

3x + 30 = 80 + 2x

3x – 2x = 80 –30

x= 50

I hope I helped you^_^

Answer:

x=50

Step-by-step explanation:

3x + 30 = 80 + 2x​

subtract 2x from both sides

1x + 30 = 80

subtract 30 from both sides

x=50