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3 years ago

2/13 divided by 1/6 need help

Mathematics

2 answers:

tia_tia [17]3 years ago

8 0

Dividing by a fraction means the same as multiplying by its reciprocal.

In other words, change the division sign to multiplication

and flip or take the reciprocal of the second fraction.

So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.

Now multiply across the numerators and denominators to get 12/13.

inessss [21]3 years ago

4 0

Answer:

Step-by-step explanation:

KCF = Keep Change Flip

2/3 divided by 1/6

K C F

2/3 you keep

divided you change it to Multiplication X

And Flip 1/6 to 6/1

then Multiply

2/3 x 6/1 =

12/3 = 4

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First, we design the null and the alternate hypothesis

$H_{0}: \mu_1 \geq \mu_2\\H_A: \mu_1 < \mu_2$

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Formula:

Pooled standard deviation

$s_p = \sqrt{\displaystyle\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2 }{n_1 + n_2 - 2}}$

$t_{stat} = \displaystyle\frac{\mu_1-\mu_2}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

$\text{Degree of freedom} = n_1 + n_2 - 2$

Putting all the values we get:

$s_p = \sqrt{\displaystyle\frac{(11-1)(3.7)^2 + (13-1)(6.6)^2 }{11 + 13 - 2}} = \sqrt{29.9827} = 5.48$

$t_{stat} = \displaystyle\frac{63.3-70.2}{5.48\sqrt{\frac{1}{11}+\frac{1}{13}}} = -3.073$

$\text{Degree of freedom} = 11 + 13 - 2 = 22$

Now,

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Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.

We conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2.

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