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Naya [18.7K]
3 years ago
6

How do I simplify this problem?

Mathematics
1 answer:
masya89 [10]3 years ago
6 0
Expanding (x+h)^3, we get (5x^3+15x^2h+15xh^2+5h^3-5x^3)/h=
(15x^2h+15xh^2+5h^3)/h= 15x^2+15xh+h^2
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Find the margin of error for a 90% confidence interval when the standard deviation is LaTeX: \sigma= 50????=50 and LaTeX: n = 25
Murrr4er [49]

Answer:

The margin of error  for a 90% confidence interval is 16.4

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 25

Standard deviation = 50

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

Margin of error =

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

Putting the values, we get,

1.64\times \dfrac{50}{\sqrt{25}} = 16.4

Thus, the margin of error  for a 90% confidence interval is 16.4

8 0
4 years ago
A bake
dimulka [17.4K]

Answer:

15 and a half days

Step-by-step explanation:

Since they earn $12's each day you would do $186 divided by $12 which would be 15.5 so it would take them 15 and a half days to raise $186.

8 0
3 years ago
i need help with simplifying fractions only the top ones i will do the making of a decimal or ill ask the question later
Vladimir79 [104]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{32}{40} ← divide numerator and denominator by 4

= \frac{8}{10} = 0.8

(b)

\frac{35}{50} → divide numerator and denominator by 5

= \frac{7}{10} = 0.7

(c)

\frac{60}{40} ← divide numerator and denominator by 4

= \frac{15}{10} = 1.5

8 0
3 years ago
A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Cobalt-60 has a half-life of 7
NeTakaya

Answer:

We have 197 g of Co-60 after 18 months.

Step-by-step explanation:

We can use the decay equation.

M_{f}=M_{i}e^{-\lambda t}

Where:

  • M(f) and M(i) are the final and initial mass respectively
  • λ is the decay constant (ln(2)/t(1/2))
  • t(1/2) is the half-life of Co
  • t is the time at the final amount of m

M_{f}=228e^{-\frac{ln(2)}{7} 1.5}    

M_{f}=197\: g    

<u>Therefore, we have 197 g of Co-60 after 18 months.</u>

I hope it helps you!

4 0
3 years ago
The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.
MAXImum [283]

Answer:

  • x = 43
  • 43°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

7 0
2 years ago
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