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Nataly_w [17]
3 years ago
9

Let a Δ b = (a+b)2+5. what is 1 Δ - 4?

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

It looks like ∆ is defined as

<em>a</em> ∆ <em>b</em> = (<em>a</em> + <em>b</em>)² + 5

If that's the case, then

1 ∆ (-4) = (1 + (-4))² + 5 = (-3)² + 5 = 9 + 5 = 14

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Step-by-step explanation:

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Jada is designing two new paths leading from park entrances to a fountain near the center of the park.
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Item 12
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Find the minimum sample size needed to estimate the percentage of Democrats who have a sibling. Use a 0.1 margin of error, use a
Brums [2.3K]

Answer:

The minimum sample size is  n  =135

Step-by-step explanation:

From the question we are told that

   The confidence interval is ( lower \ limit  = \  0.44,\ \ \   upper \ limit  = \ 0.51)

    The margin of error is  E =  0.1

   

Generally the sample  proportion can be mathematically evaluated as

     \r p = \frac{ upper \ limit  + lower \ limit }{2}

    \r p = \frac{ 0.51 + 0.44}{2}

    \r p = 0.475

Given that the confidence level is  98% then the level of significance can be mathematically evaluated as

         \alpha = 100 -  98

        \alpha = 2\%

        \alpha =0.02

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table  

   The value is

        Z_{\frac{\alpha }{2} } =  2.33

Generally the minimum sample size is evaluated as

      n  =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 *  \r p (1- \r p )

     n  =[ \frac { 2.33}{0.1} ]^2 *  0.475(1- 0.475 )

     n  =135

6 0
3 years ago
DIRECTIONS: Use this information to answer Parts A and B.
sleet_krkn [62]

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

4 0
3 years ago
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