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2 years ago

How do i do this 5e+4<3e-6

Mathematics

1 answer:

Nonamiya [84]2 years ago

6 0

Answer:

e < -5

Step-by-step explanation:

5e + 4 < 3e - 6

Subtract 3e from the right side

2e + 4 < -6

Subtract 4 from the left side

2e < -10

Divide both sides by 2

e < -5

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Answer:

There is enough statistical evidence to say that the means are different.

Step-by-step explanation:

The question is incomplete:

"The two-sample t statistic for comparing the population means has value (±0.001)."

The null and alternative hypothesis are:

$H_0: \mu_r-\mu_b=0\\\\H_1: \mu_r-\mu_b\neq0$

The level of significance is assumed to be α=0.01.

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$M_d=M_r-M_b=9.64-15.84=-6.20$

The standard deviation for the difference of the means is:

$s_d=\sqrt\frac{s_r^2+s_b^2}{n} } =\sqrt\frac{3.43^2+8.65^2}{21} }=\sqrt{\frac{85.59}{21} }=\sqrt{4.12} =2.03$

Then, the t-statistic is:

$t=\frac{M_d-(\mu_r-\mu_b)}{s_d} =\frac{-6.20-0}{2.03}= -3.05$

The degrees of freedom are:

$df=n_r+n_b-2=21+21-2=40$

With 40 degrees of freedom the t-critial for a significance of α=0.01 is t=±2.705.

As the t-statistic lies in the rejection region, the effect is significant and the null hypothesis is rejected.

There is enough statistical evidence to say that the means are different.

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3 years ago

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julia-pushkina [17]

firstly find the area of the square which is sidexside=8x8=64cm^2
then find the area of the triangle which is 1/2xbasexhight=1/2x8x6=24cm^2
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Step-by-step explanation:

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