Answer:
p=1
Step-by-step explanation:
-7(8-6p)= -6p-8
-56+42p=-6p-8
-56+8=-6p-42p
-48=-48p
1=p
Hope this helps ;) ❤❤❤
This is an equation that calculates potential energy and converts the value into its commercial unit.
<u>Step-by-step explanation:</u>
Step 1:
Given equation is 2 kg × 9.81 m/s² × 40 m. From the units, find the corresponding measurements. kg is the unit of mass (m), 9.81 m/s² is the acceleration due to gravity (g) and m is the unit of length or height (h).
This shows that this equation is to find potential energy. It is then converted into the commercial unit of energy (Joules).
⇒ Potential Energy = mgh = 2 kg × 9.81 m/s² × 40 m
= 784.8 kg m²/s²
= 784.8 N-m (Since unit of force, 1 N=kg m/s²)
= 784.8 J (1 Newton-m = 1 Joule)
Answer:
Nothing new about leading coefficient. Definition says it can't be zero. It can always be made equal to one by dividing through.
Constant term cannot be zero unless a root is zero.
Step-by-step explanation:
x-3/4 = 0 has root 3/4 constant term -3/4
(x-3/4)(x-b) = 0 has roots 3/4 and b, constant term 3b/4 which is zero only if b is zero.
(x-3/4)(x-b)(x-c) = 0 has roots 3/4, b, c, constant term -3bc/4 which is zero only if b or c is zero.
Etc. ...
Answer: 0.1457
Step-by-step explanation:
Let p be the population proportion.
Given: The proportion of Americans who are afraid to fly is 0.10.
i.e. p= 0.10
Sample size : n= 1100
Sample proportion of Americans who are afraid to fly =
We assume that the population is normally distributed
Now, the probability that the sample proportion is more than 0.11:
![P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3E0.11%29%3DP%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%3E%5Cdfrac%7B0.11-0.10%7D%7B%5Csqrt%7B%5Cdfrac%7B0.10%280.90%29%7D%7B1100%7D%7D%7D%29%5C%5C%5C%5C%3DP%28z%3E%5Cdfrac%7B0.01%7D%7B0.0090453%7D%29%5C%20%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%20%5D%5C%5C%5C%5C%3DP%28z%3E1.1055%29%5C%5C%5C%5C%3D1-P%28z%5Cleq1.055%29%5C%5C%5C%5C%3D1-0.8543%3D0.1457%5C%20%5C%20%5C%20%5B%5Ctext%7Busing%20z-table%7D%5D)
Hence, the probability that the sample proportion is more than 0.11 = 0.1457
