15+ points will give BRAINLIEST<br> Which function is equivalent to y=2(x+3)^2+5?

Find the indicated partial derivative. Z = u v − w ; ∂3z ∂u ∂v ∂w.

insens350 [35]

The indicated partial derivative of z is; 1.

<h3>Partial derivatives</h3>

According to the question:

We are required to determine the partial derivative of the variable z.

The given value of z is; Z = u, v, −w

Hence, it follows that;

Z = u + v -w

d³z = ∂/∂u(u) + ∂/∂v(v) - ∂/∂w(w)

Ultimately, the value of ∂³z is; 1.

Read more on partial derivatives;

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8 0

3 years ago

A science student wants to study how fast an ant walks which quantity makes the most sense for his study

klasskru [66]

Inches per second is a convenient unit for ant speed.

Second choice.

4 0

4 years ago

The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.

AURORKA [14]

The two nominal variables are related.

The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.

Ownership C1 C2 C3

No 40 32 48

Yes 30 48 52

The first thing to do in order to determine if they are related or not is to state our null and alternative hypothesis

Null hypothesis

$\mathbf{H_o: Two \nomial \ variables \ are \ related}$

Alternative hypothesis

$\mathbf{H_a: Two \nomial \ variables \ are \ not \ related}$

Using the Chi-square test statistics which can be expressed by using the formula

$X ^2 = \sum \dfrac{(O-E)^2}{E}$

Ownership C1 C2 C3 Total

No 40 32 48 120

Yes 30 48 52 130

Total 70 80 100 250

The expected values are calculated as:

$\mathsf{E_{a,b} = \dfrac{(row \ total \times column \ total )}{grand \ total }}$

$\mathsf{E_{1,1} = \dfrac{(70 \times120 )}{250 }}$

$\mathsf{E_{1,1} = 33.6}$

$\mathsf{E_{1,2} = \dfrac{(70 \times130 )}{250 }}$

$\mathsf{E_{1,2} = 36.4}$

$\mathsf{E_{2,1} = \dfrac{(80 \times120 )}{250 }}$

$\mathsf{E_{2,1} = 38.4}$

$\mathsf{E_{2,2} = \dfrac{(80 \times 130 )}{250 }}$

$\mathsf{E_{2,2} = 41.6}$

$\mathsf{E_{3,1} = \dfrac{(100 \times120 )}{250 }}$

$\mathsf{E_{3,1} = 48}$

$\mathsf{E_{3,2} = \dfrac{(70 \times130 )}{250 }}$

$\mathsf{E_{3,2} = 52}$

∴ Using the Chi-square test statistics, we have:

$X ^2 = \sum \dfrac{(O-E)^2}{E}$

$X ^2 = \Bigg( \dfrac{(40-33.6)^2}{33.6}+ \dfrac{(30-36.4)^2}{36.4}+ \dfrac{(32-38.4)^2}{38.4}+ \dfrac{(48-41.6)^2}{41.6} + \dfrac{(48-48)^2}{48}+ \dfrac{(52-52)^2}{52} \Bigg)$

$X ^2 = \Bigg( \dfrac{40.96}{33.6}+ \dfrac{40.96}{36.4}+ \dfrac{40.96}{38.4}+ \dfrac{40.96}{41.6} + \dfrac{0}{48}+ \dfrac{0}{52} \Bigg)$

$X ^2 = \Bigg( 1.2190+ 1.1253+ 1.0667+ 0.9846+0+ 0 \Bigg)$

$\mathbf{X ^2 =4.3956}$

The degree of freedom df = ((r - 1) × (c - 1))

= (3 - 1) (2 -1 )

= 2 × 1

= 2

∴

Assuming the level of significance = 5%

The p-value of the Chi-square test statistics at df of 2 is:

= $\mathbf{P(X^2 > 4.3956) \implies 0.111}$

Therefore, we can conclude that since the p-value (0.111) is greater than the level of significance (0.05), we fail to reject the null hypothesis.

Hence, the two nominal variables are related.

Learn more about Chi-square test statistics here:

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7 0

3 years ago

12. Shreyas orders a pizza for himself and eats 5/8 of the entire pizza. The next day he eats 1/3 of the remaining pizza as a sn

svet-max [94.6K]

Answer:

1562.5

Step-by-step explanation: 2500 divided by 8 times 5

8 0

3 years ago

Read 2 more answers

PLZZZ HELP ME ASAP PLZZZZZ

Lisa [10]

Answer:

14.7cm^3

Step-by-step explanation:

The volume formula for a pyramid is l·w·h/3 or BH/3

The base of the height is 6.9 and the height is 6.4

(6.9)(6.4)=44.16

44.16/3=14.72

14.72 rounded to the nearest tenth is 14.7cm^3

Hope this helps! :)

5 0

3 years ago

15+ points will give BRAINLIEST Which function is equivalent to y=2(x+3)^2+5?