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Dominik [7]
4 years ago
6

Solve the equation m²+4m=-2

Mathematics
2 answers:
lozanna [386]4 years ago
7 0

Answer: There's two solutions to this problem:

1. m =(4-√8)/2=2-√ 2 = 0.586

2. m =(4+√8)/2=2+√ 2 = 3.414

UNO [17]4 years ago
4 0
Step 1: Subtract -2 from both sides.<span><span><span><span>
m2</span>+<span>4m</span></span>−<span>(<span>−2</span>)</span></span>=<span><span>−2</span>−<span>(<span>−2</span>)</span></span></span><span><span><span><span>
m2</span>+<span>4m</span></span>+2</span>=0</span>
Step 2: Use quadratic formula with a=1, b=4, c=2.<span>
m=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
m=<span><span><span>−<span>(4)</span></span>±<span>√<span><span><span>(4)</span>2</span>−<span><span>4<span>(1)</span></span><span>(2)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>
m=<span><span><span>−4</span>±<span>√8</span></span>2</span></span><span><span>
m=<span><span>−2</span>+<span><span><span>√2</span><span> or </span></span>m</span></span></span>=<span><span>−2</span>−<span>√2</span></span></span><span>
</span>
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Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:-H₀: </em></u> (μ) = 12

<em>Alternative Hypothesis: H₁</em> : μ < 12

Test statistic

                  Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

                  Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

<u><em>Final answer:-</em></u>

The EMS director wants to service goal of 12 minutes or less is being achieved

<u><em></em></u>

<u><em></em></u>

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3 years ago
Goode manufacturing pays Sam young a $2440 monthly salary plus a 6% commission on merchandise he sells each month. Assume sam's
Sloan [31]
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6 0
1 year ago
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n200080 [17]
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7 0
3 years ago
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6 0
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when Apple sells their iPads they increase the price $50 from what it cost then to actually make the iPads one Apple Store sold
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Now divide that by 10 to get the amount for one iPad:

$4,500 ÷ 10 = $450

One iPad actually costs $450 to make.
8 0
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