Answer:
i think it is a but there are algebra caculators online
Step-by-step explanation:
Answer:
![h= 2x](https://tex.z-dn.net/?f=h%3D%202x)
Step-by-step explanation:
Given
Square
![Side = x](https://tex.z-dn.net/?f=Side%20%3D%20x)
Triangle
![Base = x](https://tex.z-dn.net/?f=Base%20%3D%20x)
![Altitude = h](https://tex.z-dn.net/?f=Altitude%20%3D%20h)
Required
Find h, if both shapes have the same area
The area of the square is:
![Area = x * x](https://tex.z-dn.net/?f=Area%20%3D%20x%20%2A%20x)
![Area = x^2](https://tex.z-dn.net/?f=Area%20%3D%20x%5E2)
The area of the triangle is:
![Area = \frac{1}{2} * Base*Height](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20Base%2AHeight)
![Area = \frac{1}{2} * x*h](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20x%2Ah)
Equate both areas
![x^2 = \frac{1}{2} * x*h](https://tex.z-dn.net/?f=x%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20x%2Ah)
Divide both sides by x
![x = \frac{1}{2} *h](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2Ah)
Multiply both sides by 2
![2*x = \frac{1}{2} *h*2](https://tex.z-dn.net/?f=2%2Ax%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2Ah%2A2)
![2x = h](https://tex.z-dn.net/?f=2x%20%3D%20h)
![h= 2x](https://tex.z-dn.net/?f=h%3D%202x)
Answer:
c+y peaches
Step-by-step explanation:
since the questions does not mention any peaches that are left over even after Andrew took the y peaches, the c amount and y amount are all that were on the plate.
If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
_____
Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
![\mu = np = 50 \times 0.5 \\ \\ \mu= 25](https://tex.z-dn.net/?f=%5Cmu%20%3D%20np%20%3D%2050%20%5Ctimes%200.5%20%5C%5C%20%5C%5C%20%5Cmu%3D%2025)
![\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7Bnp%281-p%29%20%7D%20%5C%5C%20%5C%5C%20%20%5Csigma%20%3D%20%5Csqrt%7B50%20%5Ctimes%20%280.5%29%281-0.5%29%20%7D%20%5C%5C%20%5C%5C%20%5Csigma%20%3D%203.536)
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5,
= 25,
= 3.536
Using the z test statistics;
![z = \dfrac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D)
![z = \dfrac{30.5 - 25}{3.536}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B30.5%20-%2025%7D%7B3.536%7D)
![z = \dfrac{5.5}{3.536}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B5.5%7D%7B3.536%7D)
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06