Answer:
There are three terms in the simplified expression.
Step-by-step explanation:
We have to simplify the expression and have to count the number of terms that the expression has.
The expression is 4y - 6 + y² - 9
= 4y + y² - 6 - 9
= y² + 4y - 15
Therefore, there are three terms in the simplified expression, one for y² term, another is y term and the constant term. (Answer)
Answer: 554
Step-by-step explanation:
If prior population proportion is known, then the formula to find the sample size is given by :-
![n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2)
As per given description, we have
p= 0.1
E=0.025
Critical z-value for 95% confidence : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Then,
![n=0.1(1-0.1)(\dfrac{1.96}{0.025})^2=553.1904\approx554](https://tex.z-dn.net/?f=n%3D0.1%281-0.1%29%28%5Cdfrac%7B1.96%7D%7B0.025%7D%29%5E2%3D553.1904%5Capprox554)
Hence, the minimum sample size required = 554.
Answer:
p=30 q=150
Step-by-step explanation:
<h2>
Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation
![9.25=5m](https://tex.z-dn.net/?f=9.25%3D5m)
is the cost per pound.- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
![y=f(x)](https://tex.z-dn.net/?f=y%3Df%28x%29)
From the equation we can determine
as:
![m=\frac{9.25}{5}=1.85](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B9.25%7D%7B5%7D%3D1.85)
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
![\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B9.25%7D%7B5%7D%20%5C%5C%20%5C%5C%20y%3D1.85x)
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
![\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%28%5Ctext%7BNumber%20of%20pounds%7D%29%20%26%20y%28%5Ctext%7BCost%20in%20dollars%7D%29%5C%5C0%20%26%200%5C%5C1%20%26%201.85%5C%5C2%20%26%203.7%5C%5C3%20%26%205.55%5C%5C4%20%26%207.4%5C%5C5%20%26%209.25%5Cend%7Barray%7D)
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).