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arlik [135]
2 years ago
13

What are the roots of the quadratic equation below 2x^2-5x-1=0

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
7 0

Answer:

roots=(5±sqrt(33))/4

Step-by-step explanation:

roots=(-b±sqrt(b^2-4ac))/2a

roots=(-(-5)±sqrt(25+8))/(2*2)

roots=(5±sqrt(33))/4

roots=(5+sqrt(33))/4 and (5-sqrt(33))/4

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3 years ago
A survey of 90 men found that an average amount spent on St. Patrick's day of $55 with a standard deviation of $18. A similar su
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Answer:

The value of the test statistic is 4.70.

Step-by-step explanation:

The hypothesis for this test can be defined as follows:

<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.

<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.

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So a <em>t</em>-distribution will be used to perform the test.

The test statistic for the test of difference between mean is:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }

Given:

\bar x_{1}=55\\s_{1}=18\\n_{1}=90\\\bar x_{1}=44\\s_{1}=16\\n_{1}=86

Compute the value of the test statistic as follows:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70

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7 0
3 years ago
25.691 rounded to the greatest place
Alona [7]
The answer for this equation is 25
6 0
3 years ago
Read 3 more answers
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