Answer:
Yuhh the answers c dawhggg trus me i just did the same thing lawl!
Step-by-step explanation:
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer:
0.85083 ; 0.83147 ; 0.6823 ; 0.015386
Step-by-step explanation:
Given that:
σ = 25
μ = 86
(a) x is more than 60
P(x > 60)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (60 - 86) /25
Z = - 1.04
P(Z > - 1.04) = 0.85083 (Z probability calculator)
(b) x is less than 110
P(x < 110)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (110 - 86) /25
Z = 0.96
P(Z < 0.96) = 0.83147 (Z probability calculator)
(c) x is between 60 and 110
P(x < 110) - P(x < 60)
P(Z < 0.96) - P(Z < - 1.04)
0.83147 - 0.14917
= 0.6823
(d) x is greater than 140
P(x > 140)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (140 - 86) /25
Z = 2.16
P(Z > 2.16) = 0.015386 (Z probability calculator)
There are 10 seats in ferris wheel of love.
One couple can fit in to one seat. That means 1 couple per seat.
Given, in each minute a seat passes by the entrance or exit stage. That means one couple can use the seat for one minute. That means 1 seat per minute.
The wheel starts functioning at 8 p.m for half an hour. In 1 hour there are 60 minutes. So half an hour means 
= 30 minutes.
So we have got 1 couple per seat and 1 seat per minute. If we multiply them we will get 1 couple per minute.
We have got in 1 minute there is 1 couple.
So in 30 minutes there are 
couples = 30 couples.
We have got the required answer here.
There are 30 couples who took a ride in the ferris wheel of love.
Step number 3 should really be step number 7, it should be placed after step 4, 5, and 6. The reason is because we won't know that ∠LEO ≅ ∠NEO until after we learn that LE ≅ EN. Because of this, step 3 is in the wrong spot (mistake number one). The secod mistake is that step 7, triangle OLE ≅ triangle ONE is congruent by Angle-Side-Angle (ASA) Postulate, not Side-Angle-Side (SAS) Postulate. It is congruent by ASA because we know that both triangles have equal angles N and L. We also know that the perpendicular bisector creates a 90° angle. So m∠LEO = 90° and ∠NEO = 90°. Therefore, we already have 2 congruent angles in both of the triangles. We also learn that line LE ≅ EN based on the definition of a perpendicular bisector, so we have know one that one side of each triangle is congruent. It is ASA and not AAS, because the ASA Postulate states that two angles and one included side of one triangle are congruent to two angles and one included side of another triangle.
