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3 years ago

Choose the correct simplification of (9x3y2)2

Mathematics

1 answer:

egoroff_w [7]3 years ago

6 0

$\bf (9x^3y^2)^2\implies \stackrel{\textit{distributing the exponent}}{(9^2x^{3\cdot 2}y^{2\cdot 2})}\implies 81x^6y^4$

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McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine

jonny [76]

Answer:

$t _{critical} = 1.760$

t = 2.2450

d. 0.264

Step-by-step explanation:

The null hypothesis is:

$H_o: \mu_1 - \mu_2 = 0$

Alternative hypothesis;

$H_a : \mu_1 - \mu_2 > 0\\$

The pooled variance t-Test would have been determined if the population variance are the same.

$S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}$

$S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}$

$S_p^2 = 7.14$

The t-test statistics can be computed as:

$t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}$

$t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}$

$t= \dfrac{3}{1.336}$

t = 2.2450

Degree of freedom $df = (n_1 -1) + ( n_2 +1 )$

df = (8-1)+(8-1)

df = 7 + 7

df = 14

At df = 14 and ∝ = 0.05;

$t _{critical} = 1.760$

Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.

Conclusion: We reject $H_o$ and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.

To calculate r²

The percentage of the variance is;

$r^2 = \dfrac{t^2}{t^2 + df}$

$r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}$

$r^2 = \dfrac{5.040025}{5.040025+ 14}$

$r^2 = 0.2647$

7 0

3 years ago

Jody has 2 red marbles, 5 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 16:2 B. 2:16

vesna_86 [32]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given that △ABC ≅ △DEF , m∠E=3y+20, m∠B= 10 +5y, and m∠A=5y , answer the following:

Vinvika [58]

Answer:

y=5

m<A= 25

m<E= 35

Step-by-step explanation:

since <E equals <B due to CPCTC the equation:

3y+20=10+5y

is the equation

8 0

1 year ago

neveah and jason stopped by a restaurant to eat neveah purchased 2 hotdogs and 1 drink for $3.75 jason purchased 3 hotdogs and 2

RoseWind [281]

Answer:

2x + y = 3.75

3x + 2y = 6

Step-by-step explanation:

x = cost of 1 hot dog

y = cost of 1 drink

Neveah: 2x + y = 3.75

Jason: 3x + 2y = 6

5 0

3 years ago

If the domain of f(n) = -4n - 3 is (-1, 1/4,4}, what is the range?

ahrayia [7]

Answer:

$Range= \{1,-4,-19\}$

Step-by-step explanation:

Given

$f(n) = -4n - 3$

$n = \{-1,1/4,4\}$ --- domain

Required

Determine the range

To do this, we simply substitute the values of n in the given expression

So, we have:

$n = -1$

$f(-1) = -4 * -1 - 3 =4 - 3 = 1$

$n = 1/4$

$f(-1) = -4 * 1/4 - 3 =-1 - 3 = -4$

$n=4$

$f(-1) = -4 * 4 - 3 =-16 - 3 = -19$

Hence, the range is:

$Range= \{1,-4,-19\}$

5 0

2 years ago