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3 years ago

1. classify -6x^5+4x^3+3x^2+11 by degree.

Mathematics

1 answer:

siniylev [52]3 years ago

3 0

The degree of this polynomial is 5, and because the prefix for 5 is "quin", the answer would be quintic.

2. -2x^2(-5x^2 + 4x^3)

We can use FOIL to simplify this.

10x^4 - 8x^5

Because standard form is decreasing by degree, we need to rearrange the binomial.

The answer is -8x^5 + 10x^4

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

Allisa [31]

Answer:

The condition are

The Null hypothesis is $H_o : \mu = 5$

The Alternative hypothesis is $H_a : \mu < 5$

The check revealed that

There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 5 \ year$

The sample size is n = 20

The sample mean is $\= x = 4.6 \ years$

The standard deviation is $\sigma = 2.2 \ years$

The Null hypothesis is $H_o : \mu = 5$

The Alternative hypothesis is $H_a : \mu < 5$

So i will be making use of $\alpha = 0.05$ level of significance to test this claim

The critical value of $\alpha$ from the normal distribution table is $Z_\alpha = 1.645$

Generally the test statistics is mathematically evaluated as

$t = \frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 4.6 - 5}{ \frac{2.2}{\sqrt{20} } }$

$t = -0.8131$

Looking at the value of t and $Z_{\alpha }$ we see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis

This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0

2 years ago

What Is 71898-92374?Will Be Brainlist

malfutka [58]

Answer:

-20,476

Step-by-step explanation:

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3 years ago

Randall bought 2 game controllers at Electronics Plus for $36. What is the unit rate for a game controller at Electronics Plus

yKpoI14uk [10]

Would it be half of 36