This is a 3 to 2 ratio. So in this case you need 180g
Answer:
5
Step-by-step explanation:
Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X
Solving the equation to find the value of x.
⇒ ![5^{3} -10^{2} = x(8-2)+2x-3x](https://tex.z-dn.net/?f=5%5E%7B3%7D%20-10%5E%7B2%7D%20%3D%20x%288-2%29%2B2x-3x)
Using the distributive property of multiplication, multiplying x with 8 and -2
⇒![125-100= 8x-2x+2x-3x](https://tex.z-dn.net/?f=125-100%3D%208x-2x%2B2x-3x)
cancelling out -2x and 2x
⇒ ![25= 8x-3x](https://tex.z-dn.net/?f=25%3D%208x-3x)
⇒ ![25= 5x](https://tex.z-dn.net/?f=25%3D%205x)
Multiplying both side by 5
⇒ x= ![\frac{25}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B5%7D)
∴ x= 5
Hence, the value of unknown is 5.
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
Answer:
The mean of the distribution of sample means is 27.6
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 27.6
Standard Deviation, σ = 39.4
We are given that the population is a bell shaped distribution that is a normal distribution.
Sample size, n = 173.
We have to find the mean of the distribution of sample means.
Central Limit theorem:
- It states that the distribution of the sample means approximate the normal distribution as the sample size increases.
- The mean of all samples from the same population will be approximately equal to the mean of the population.
Thus, we can write:
![\mu_{\bar{x}} = \mu = 27.6](https://tex.z-dn.net/?f=%5Cmu_%7B%5Cbar%7Bx%7D%7D%20%3D%20%5Cmu%20%3D%2027.6)
Thus, the mean of the distribution of sample means is 27.6
Answer:
$52
Step-by-step explanation:
Using the equation
y=mx+c
82=7x+c
122=11x+c
11x-7x=122-82
4x=40
x=10
To get c
82=7(10)+c
82-70=c
c=12
For 4 lessons
y=10(4)+12=52