Answer:
Step-by-step explanation:
7x - 1 + 6x - 1 = 180
13x - 2 = 180
13x = 182
x = 14
7(14) - 1 = 98 - 1= 97
6(14) - 1 = 84 - 1 = 83
Answer:
<u>1,600</u>
Step-by-step explanation:
divide the total money by the time to get unit rate such as 4800 divided by 3 equals <u>1600</u>
Also can you give brainliest to all of your questions bc it really hard to get brainliest and it be really nice you can choose who i dont really care but just please do it it helps a lot
This is a rate*unit problem.
So, 4 calories per pound x 151 pounds
![4\times151=604](https://tex.z-dn.net/?f=4%5Ctimes151%3D604)
He will burn 604 calories in one hour
Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.
![x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)](https://tex.z-dn.net/?f=x%5Cpm%20z%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%28174.5%5Cpm%202.326%5Ctimes%20%5Cdfrac%7B6.9%7D%7B%5Csqrt%7B50%7D%7D%29%5C%5C%5C%5C%3D%28174.5%2B2.26%2C174.5-2.26%29%5C%5C%5C%5C%3D%28176.76%2C172.24%29)
(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be
![\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B6.9%7D%7B%5Csqrt%7B50%7D%7D%5C%5C%5C%5C%3D0.976)
Hence, a) (176.76,172.24), b) 0.976.
Angle A = 30 and its complement would be 60. This is because both angles must equal 90 degrees, and 30 + 60 = 90. Also in the directions it states Angle A must be half of its complement. 30 is half of 60. Sorry I don’t have any work, I just did it in my head!
Any questions? Hope this helps!