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adell [148]
2 years ago
7

Please help with this limit, I have tried everything but this won't work. ​

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
8 0

You're lucky that I was able to do this :)

The answer is \huge\boxed{\frac{1}{4}}

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Help with this and show steps, please!!!!!!
kipiarov [429]

Answer:

A

Step-by-step explanation:

The figure has two disjoint pairs of consecutive sides which are congruent.

Thus the figure is a Kite

Using the properties of a Kite

• The diagonals are perpendicular

• The main diagonal diagonal bisects the pair of opposite angles

Hence ∠1 = 90° ( diagonals are perpendicular )

The angle 22° is a bisected angle so the angle below is also 22°

The sum of the 3 angles in a triangle = 180°, hence

∠2 = 180° - (90 + 22)° = 180° - 112° = 68°

The solution is A




7 0
3 years ago
How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the populati
marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

For this problem, the parameters are:

z = 1.96, \sigma = 40, M = 6

Hence we solve for n to find the needed sample size.

M = z\frac{\sigma}{\sqrt{n}}

6 = 1.96\frac{40}{\sqrt{n}}

6\sqrt{n} = 40 \times 1.96

\sqrt{n} = \frac{40 \times 1.96}{6}

(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
You have 8 cups of flour. A recipe calls for 2/3cup of flour. Another recipe calls for 1/4 cup of flour. How much flour do you h
Sonja [21]
There will be 5 more because 8-2-1 =5
6 0
3 years ago
Find an equation of the line containing the given pair of points (5,2) and (-3,5)
anzhelika [568]
(5,2)(-3,5)
slope = (5 - 2) / (-3 - 5) = -3/8

y = mx + b
slope(m) = -3/8
use either of ur points...(5,2)...x = 5 and y = 2
now we sub and find b, the y int
2 = -3/8(5) + b
2 = - 15/8 + b
2 + 15/8 = b
16/8 + 15/8 = b
31/8 = b

so ur equation is : y = -3/8x + 31/8....or 3x + 8y = 31
3 0
3 years ago
If a1 = 8 and an = an-1 + 5 then find the value of a5.
Nimfa-mama [501]

Step-by-step explanation:

A1=8

A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5

A3=A2+5

A4=A3+5

A5=A4+5

5 0
3 years ago
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