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tensa zangetsu [6.8K]
3 years ago
12

Product of (x+y)(2x+4y)

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
When you multiply the equation out and you simplify like terms you get.


2x^2 + 6xy + 4y^2
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QUESTION 9 Imagine that the mean height for all Division I women's basketball programs is 69 inches with a standard deviation of
fenix001 [56]

Answer:

98.98% of means would fall below that for these UConn Huskies

Step-by-step explanation:

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

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 69, \sigma = 3, n = 10, s = \frac{3}{\sqrt{10}} = 0.9487

The 2010–2011 women's basketball team at the University of Connecticut, with 10 players listed on the roster, had an average height of 71.2 inches. Using the z statistic, what percent of means would fall below that for these UConn Huskies?

This is the pvalue of Z when X = 71.2. So

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

By the Central limit theorem

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

Z = \frac{71.2 - 69}{0.9487}

Z = 2.32

Z = 2.32 has a pvalue of 0.9898

98.98% of means would fall below that for these UConn Huskies

3 0
3 years ago
Find the perimeter of a right triangle with a leg of 8 cm and a hypotenuse of 17 cm.
Nookie1986 [14]

Answer:

40cm

Step-by-step explanation:

1. To find the missing leg, use the Pythagorean theorem a²+ b² = c² and substitute the numbers a² + 8² = 17².

2. So a = 15 since 17²-8² = 289 - 64 =225 and the square root of 225 is 15

3. Now that all the lengths have been found. So the perimeter of the right triangle is 40cm.

4 0
3 years ago
Read 2 more answers
Someone, please help me
kati45 [8]

Answer:

See Attachment

Step-by-step explanation:

6 0
2 years ago
Steven is buying a new mountain bike on layaway for $324. If he pays $36 each week how many weeks will it take steven to pay for
Reptile [31]

Answer:

9 weeks

Step-by-step explanation:

324/36 = 9

4 0
2 years ago
Read 2 more answers
Marlene rides her bicycle to her friend​ jon's house and returns home by the same route. marlene rides her bike at constant spee
riadik2000 [5.3K]

To solve the problem:

<span>Let f = distance one way distance on level ground</span>

<span>
Let h = distance rode on the hill</span>

<span>
Write a time equation; where Time = distance/speed:</span>

<span>

level time + uphill time + downhill time + level time = 1hr</span>

<span>
</span>

<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>

<span>

Multiply equation by 18 to get rid of the denominators</span>

<span>
</span>

 

2f + 3h + h + 2f = 18


4f + 4h = 18


Simplify by dividing this by 4


<span>f + h = 4.5 miles is took her to get to Jon’s house.</span>

6 0
3 years ago
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