Answer:
X=5 y=-2
Step-by-step explanation:
Set them equal to each other so...
-2x+8=3x-7
Simplify by balancing out the equation so
-5x=-1
So x=5
Now plug it into either y equation
-2(5)+8
-10+8
Y=-2
Hope this helps!
Answer:
A normal model is a good fit for the sampling distribution.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
<em>N</em> = 675
<em>X</em>₁ = bodies with low vitamin-D levels had weak bones
<em>n</em>₁ = 82
<em>p</em>₁ = 0.085
<em>X</em>₂ = bodies with regular vitamin-D levels had weak bones
<em>n</em>₂ = 593
<em>p</em>₂ = 0.01
Both the sample sizes are large enough, i.e. <em>n</em>₁ = 82 > 30 and <em>n</em>₂ = 593 > 30.
So, the central limit theorem can be applied to approximate the sampling distribution of sample proportions by the Normal distribution.
Thus, a normal model is a good fit for the sampling distribution.
Answer: 5. The second box required more material to make.
6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.
Step-by-step explanation:
5. To solve this problem you need to find the volume of the boxes.
Volume of the first box.
v= 8 * 6.25 * 10.5
v= 525
Second box volume
9 * 5.5 * 11.75 = 581.625
Which means the second box required more material to make because it has the greatest volume.
6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.
525 * 50 = 26250 * 0.03 = 785.5
581.625 *50 = 29081.25 * 0.03= 872.4375
872.4375 - 785.5 = 84.9375 which is about $84.94.
Answer:
0 ton
Step-by-step explanation:
The question states that 99,000 acres are harvested. This suggest that there are plenty sellers of almonds.The Sagardia Brothers grew 600 acres of almonds. this is a small percentage of the total output of almonds. This suggests that the market for almonds is perfectly competitive.
In this type of market, if the price of a seller is above equilibrium price, zero units of the commodity would be bought. This is because the goods sold are homogenous and buyers can easily purchase from other buyers that sell at the market price
R= 6s+t/12
You add 6s and divide 12