Answer:
Add the two in the middle and multiply it by the outside number
Step-by-step explanation:
But you can’t do that since there’s no like terms as x would be left by itself so you would do 4x times 2 and 3 times 2 which is 8x+6
To answer this question you would need to find the surface area of this rectangular prism. In order to find the surface area you would find the areas of all six faces. The top and bottom faces would both be square with an area of 5.29 (2.3x 2.3)ft.². All for lateral faces would have areas of 8.28 (2.3x3.6)ft.². Adding these for faces along with the other two faces would give you a total surface area of 43.7 ft.². If you take away the bottom face which is not painted you will have a surface area that is going to be painted of 38.41 ft.². To determine the percentage of this rectangle or prism that is going to be painted, create a ratio of the amount painted to the total amount surface area. Divide these to create a decimal and then converted to a percent. 38.41/43.7=0.879 (87.9%).
Hey there!!
Let's take a closer look at the question,
We have the original price with included 15% tax
This original price is first reduced by 35% , first let's solve this.
35% = 35 / 100 = 0.35
0.35 × 1899
... $664.65 = 35% of of $1899.00
It would be sold for
... 1899 - 664.65
... $1234.35
Now, this price is further reduced by 20%
20% = 20/100 = 0.20
... 0.20 × 1234.35
... $246.87
This is 20% of 1234.35
Now, the price it would be sold for =
... $1234.35 - $246.87
... $987.42 is the final price the sofa would be sold for.
Hope my answer helps!!
The area is 2250 square feet.
Answer:
standard error = 2.11
Step-by-step explanation:
First we stablish the data that we have for each sample:
<u>Population 1</u> <u>Population </u>2
n₁ = 100 n₂ = 90
x¯1= 95 x¯2 = 75
σ₁ = 14 σ₂ = 15
To calculate the standard error of each sample we would use the formulas:
σ = σ₁/√n₁
σx¯2 = σ₂/√n₂
Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:
σx¯1 - σ x¯2 = √(σ₁²/n₁ + σ₂²/n₂ )
So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):
σ₁² = (14)² = 196
σ₂² = (15)² = 225
Now we can proceed to calculate the standard error of the distribution of differences in sample means:
σx¯1 - σx¯2 = √(196/100 + 225/90) = 2.11
This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.
