So we have -23 degrees to start
Then add 5 to it
It becomes -23+5=-18
Now subtract 7 from that so -18-7=-25 degrees
Hope this helps
Answer:
-5/4x +6 < 12
Step-by-step explanation:
Answer:
There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.
Step-by-step explanation:
We have to perform a hypothesis test on the difference between means.
The null and alternative hypothesis are:
![H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu_1-%5Cmu_2%3D0%5C%5C%5C%5CH_a%3A%20%5Cmu_1-%5Cmu_2%3C0)
μ1: mean heat output for subjects with the syndrome.
μ2: mean heat output for non-sufferers.
We will use a significance level of 0.05.
The difference between sample means is:
![M_d=\bar x_1-\bar x_2=0.63-2.09=-1.46](https://tex.z-dn.net/?f=M_d%3D%5Cbar%20x_1-%5Cbar%20x_2%3D0.63-2.09%3D-1.46)
The standard error is
![s_{M_d}=\sqrt{\sigma_1^2/n_1+\sigma_2^2/n_2}=\sqrt{0.3^2/9+0.5^2/9}=\sqrt{ 0.038 } \\\\ s_{M_d}=0.194](https://tex.z-dn.net/?f=s_%7BM_d%7D%3D%5Csqrt%7B%5Csigma_1%5E2%2Fn_1%2B%5Csigma_2%5E2%2Fn_2%7D%3D%5Csqrt%7B0.3%5E2%2F9%2B0.5%5E2%2F9%7D%3D%5Csqrt%7B%200.038%20%7D%20%5C%5C%5C%5C%20s_%7BM_d%7D%3D0.194)
The t-statistic is
![t=\dfrac{M_d}{s_{M_d}}=\dfrac{-1.46}{0.194}=-7.52](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7BM_d%7D%7Bs_%7BM_d%7D%7D%3D%5Cdfrac%7B-1.46%7D%7B0.194%7D%3D-7.52)
The degrees of freedom are
![df=n_1+n_2-2=9+9-2=16](https://tex.z-dn.net/?f=df%3Dn_1%2Bn_2-2%3D9%2B9-2%3D16)
The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.
The t-statistic is below the critical value, so it lies in the rejection region.
The null hypothesis is rejected.
There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.
For a 7 sides polygon which is called heptagon or septagon
Interior angles = (7-2)*180/7 = 128.57°
Exterior angle = 180 - 128.57 = 51.43°
Central angle = 360/7 = 51.43°
The statements which are correct:
<span>3. The regular polygon ABCDEFG can be broken down into 2 isosceles trapezoids and 1 isosceles triangle
</span>
<span>5. The central angle of the polygon ABCDEFG is about 51.43° and each interior angle is about 128.57°
</span>
<span>7. The central angle ABCDEFG is the same measure of the exterior angle
</span>