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Elena-2011 [213]
2 years ago
14

If n =270 and (p-hat) =0.43, find the margin of error at a 99% confidence level.. give answer to 3 decimals

Mathematics
1 answer:
Troyanec [42]2 years ago
7 0

Answer:

0.078

Step-by-step explanation:

Margin of error = z√(p(1-p)/n)

Given

p-hat = 0.43

n = 270

z at 99% confidence interval = 2.576

Substitute

MOE = 2.576√0.43(1-0.43)/270

MOE = 2.576√0.43*0.57/270

MOE = 2.576√0.2451/270

MOE = 2.576*0.030129

MOE = 0.078

Hence the margin og error is 0.078

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Step-by-step explanation:

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2 3/4 times 5 = 13 3/4.

Now we have to find the difference so

13 3/4 - 12 3/4 = 1

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4 0
3 years ago
Solve the system of equations. \begin{aligned} &amp; -10x+3y = 5 \\\\ &amp; x=y-4 \end{aligned} ​ −10x+3y=5 x=y−4 ​
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Answer:

x = 1

y = 5

Step-by-step explanation:

You can use either substitution or elimination for this problem. I will use substitution.

Step 1: Replace x in the 1st equation

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-10y + 40 + 3y = 5

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y = 5

Step 2: Plug <em>y </em>into an original equation to find <em>x</em>

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7 0
3 years ago
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cluponka [151]

Answer:

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6 0
3 years ago
A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =
ExtremeBDS [4]

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

  • (3, n)
  • (4,0)

Finding the slope between (3, n) and (4,0)

\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

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Therefore, the value of n = -10  

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2 years ago
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