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babunello [35]
3 years ago
14

What is the lowest terms of 4/5 -2/3

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0
4 / 5 - 2 / 3 ( taking LCM on bottom )
= ( 12 - 10 ) / 15
= 2 / 15 Ans

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7 1/8 is equal to greater than or less than 7.025
Sauron [17]
7 1/8 is greater than 7.025
4 0
3 years ago
The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab
Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.25

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when M = 0.1

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}

0.1\sqrt{n} = 2.575{0.25*0.75}

\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}

(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}

n = 124.32

Rounding up

The minimum sample size needed is 125.

5 0
3 years ago
Can anyone help ? i really don’t understand this question <br> If NP bisects X =<br> m/RNM =
snow_tiger [21]

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

<h3>What are angles?</h3>
  • An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle.
  • Angles formed by two rays are located in the plane containing the rays.
  • Angles are also formed when two planes intersect.
  • These are known as dihedral angles.

So,

  • ∠MNQ = ∠MNP + ∠PNQ
  • 8x + 12 = ∠MNP + 78
  • 8x + 12 - 78 = ∠MNP
  • 8x - 66 = ∠MNP
  • 8x = ∠MNP + 66
  • x = (∠MNP + 66)/8

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

  • ∠MNQ = 8x + 12
  • ∠MNQ = 8 ×(∠MNP + 66)/8 + 12
  • ∠MNQ = ∠MNP + 66 + 12
  • ∠MNQ = ∠MNP + 78

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

Know more about angles here:

brainly.com/question/25716982

#SPJ9

7 0
1 year ago
Solve for x.
Rudiy27
5x^2 - 80 = 0
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = sqrt 16
x = (4,-4) <===

8 0
3 years ago
How does multiplying both the dividend and the divisor by a factor of 10 sometimes make a problem easier to solve?
Mandarinka [93]
Because the divider and dividend are actually smaller then factors
5 0
3 years ago
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