Answer:
![6.7159](https://tex.z-dn.net/?f=6.7159)
Step-by-step explanation:
![\mu=48.8\\n=35\\\bar{x}=53.8\\\sigma=4.4\\\alpha=1\%=0.01](https://tex.z-dn.net/?f=%5Cmu%3D48.8%5C%5Cn%3D35%5C%5C%5Cbar%7Bx%7D%3D53.8%5C%5C%5Csigma%3D4.4%5C%5C%5Calpha%3D1%5C%25%3D0.01)
Null and alternative hypothesis :
![H_0:\mu=48.8\\H_a:\mu>48.8](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D48.8%5C%5CH_a%3A%5Cmu%3E48.8)
Test statistic,
![t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![\Rightarrow t=\frac{53.8-48.8}{\frac{4.4}{\sqrt{35}}}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%5Cfrac%7B53.8-48.8%7D%7B%5Cfrac%7B4.4%7D%7B%5Csqrt%7B35%7D%7D%7D)
![\Rightarrow t=\frac{5\times 5.91}{4.4}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%5Cfrac%7B5%5Ctimes%205.91%7D%7B4.4%7D)
![\Rightarrow t=6.715](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D6.715)
Test statistic ![t=6.715](https://tex.z-dn.net/?f=t%3D6.715)
value ![=P(t>6.715)](https://tex.z-dn.net/?f=%3DP%28t%3E6.715%29)
value
by the p- table
Significance level ![0.01](https://tex.z-dn.net/?f=0.01)
value ![](https://tex.z-dn.net/?f=%3C0.01)
We reject ![H_0](https://tex.z-dn.net/?f=H_0)
To find the area<span> of a </span>shaded region<span> in a rectangle, </span>find<span> the total </span>area<span> of the rectangle and the </span>area<span> of the white </span>region<span>. Then subtract the white </span>area<span> from the rectangle's </span>area<span>.</span>
Answer:
The atomic mass of an element is the average mass of the atoms of an element measured in atomic mass unit (amu, also known as daltons, D). The atomic mass is a weighted average of all of the isotopes of that element, in which the mass of each isotope is multiplied by the abundance of that particular isotope.
Step-by-step explanation:
I hope this help
Answer:
A=52.8 miles (approximately)
Step-by-step explanation:
We can assume that this triangle is not a right angle, therefore we cannot use Pythagorean theorem. Let's use the Law of Sines:
![\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%3D%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D)
Where A is unknown, a=28 miles, b=32 miles, B=87°
Therefore by law of sines we have:
![\frac{sin(A)}{28} =\frac{sin(87)}{32} \\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7B28%7D%20%3D%5Cfrac%7Bsin%2887%29%7D%7B32%7D%20%5C%5C)
By multiplying 28 to Isolate sin(A) we have:
![sin(A)=\frac{28*sin(87)}{32}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B28%2Asin%2887%29%7D%7B32%7D)
To cancel out sine on the right, we must multiply both by the inverse sine and so:
![A=sin^{-1}(\frac{28*sin(87)}{32})=52.7658\\ \\A=52.8mi](https://tex.z-dn.net/?f=A%3Dsin%5E%7B-1%7D%28%5Cfrac%7B28%2Asin%2887%29%7D%7B32%7D%29%3D52.7658%5C%5C%20%5C%5CA%3D52.8mi)
Answer:
i love algebra anyways
the ans is in the picture with the steps
(hope it helps can p lz have brainlist it will make my day
Step-by-step explanation: