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2 years ago

Evaluate the following intervalsx^-4dx

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

8 0

Answer:

simplified:

$\frac{d}{x^3}$

and Find the integral if that's what you also wanted:

$-\frac{1}{3x^3} +3$

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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

Will mark as brainliest if correct

Dvinal [7]

5= 7 ^x
X=ln5/ln7
X=0.827

5 0

2 years ago

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

Kipish [7]

X^2+12x=0
(ax^2+bx)=0
(b/2)^2=(12/2)^2=(6)^2=36
x^2+12x+36=(x+6)^2

4 0

3 years ago

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Graph the following inequality :<br> - 2y z x + 6

saul85 [17]

Answer: 2(-2x+3)

Step-by-step explanation:

6 0

2 years ago

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A surveyor measures the angle of elevation to a point on a mountain, that is 6 miles away, to be 15 degrees. The vertical change

cricket20 [7]

You can draw a right triangle with the informatio.

The vertical change in elevation (unknown) is the opposed leg to the angle 15°

The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.

Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles

Answer: 1.61 miles

6 0

2 years ago

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Evaluate the following intervalsx^-4dx​

Evaluate the following intervalsx^-4dx