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a_sh-v [17]
3 years ago
13

Find the zeros in simplest radical form:   y=1/2x^2-4

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0
y= \frac{1}{2} x^2-4\\\\y=0\ \ \ \Leftrightarrow\ \ \ \frac{1}{2} x^2-4=0\ /\cdot2\ \ \ \Leftrightarrow\ \ \ x^2-8=0\\\\x^2-(2 \sqrt{2} )^2=0\ \ \ \Leftrightarrow\ \ \ (x-2 \sqrt{2} )(x+2 \sqrt{2} )=0\\\\x-2 \sqrt{2} =0\ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ x+2 \sqrt{2}=0\\\\x=2 \sqrt{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-2 \sqrt{2
expeople1 [14]3 years ago
5 0
y= \frac{1}{2}x^2-4\\ \\ y =0 \\ \\\frac{1}{2}x^2-4 =0 \ \ / \cdot 2\\ \\x^2-8=0 \\ \\(x-\sqrt{8})(x+\sqrt{8})=0 \\ \\ x-\sqrt{8}= \ \ or \ \ x+\sqrt{8} = 0 \\ \\x=\sqrt{8} \ \ or \ \ x=-\sqrt{8} \\ \\x=\sqrt{4\cdot 2} \ \ or \ \ x= -\sqrt{4\cdot 2}\\ \\ x=2\sqrt{2} \ \ or \ \ x=-2\sqrt{2}
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Help me and be BRAINEST!!!!!!!!!!!!!!!!!!!
lakkis [162]

1.the flight from Baltimore to Miami is 2 hours and 35 minutes

2.the flight to Boston from Baltimore is the shortest.

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3 years ago
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Change to root form: (36x^6)^1/2
Lera25 [3.4K]
I hope this helps you

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Marianne is completing a 4 mile route for charity.Every 1/10 mile is marked along the route. For each mile,she runs 7/10 mile an
Dmitriy789 [7]

Seven tenths of every mile she goes she runs. So we would multiply 4 by seven tenths and get 2.8 miles. And to find out how many miles she walks, we would multiply 4 by three tenth and get 1.2

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5 0
3 years ago
According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume
Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that \mu = 22

Standard deviation is 4:

This means that \sigma = 4

Sample of 36:

This means that n = 36, s = \frac{4}{sqrt{36}}

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}

Z = 0

Z = 0 has a p-value of 0.5.

X = 21

Z = \frac{X - \mu}{s}

Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}

Z = -1.5

Z = -1.5 has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0
2 years ago
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