y = 0.05 when x = -0.3
Step-by-step explanation:
The direct variation between y and x is denoted as:
y∝x
when the proportionality symbol is removed, the constant of proportionality is introduced.
Putting y=2 and x = -12
So the equation will be:
Putting x = -0.3
Hence,
y = 0.05 when x = -0.3
Keywords: Proportion, variation
Learn more about proportion at:
#LearnwithBrainly
Answer:
The graph is attached.
Step-by-step explanation:
Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.
You know that you want to to have at most 25 samples, then:
And you want to have at least 3 times as many sedimentary samples as
metamorphic samples, then:
Therefore, the system of inequalities that model the situation is:
The y-intercept of the line is:
And the x-intercept is:
Knowing this, you can graph the line
The y-intercept of the line is:
And the x-intercept is:
Knowing this, you can graph the line.
Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.
Answer:
dang i wish i knew
Step-by-step explanation:
aawww man that looks hard but thanks for the points :)
Answer:
99.73% of bags contain between 62 and 86 chips .
Step-by-step explanation:
We are given that the number of chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4.
Let X = percent of bags containing chips
So, X ~ N()
The standard normal z score distribution is given by;
Z = ~ N(0,1)
So, percent of bags contain between 62 and 86 chips is given by;
P(62 < X < 86) = P(X < 86) - P(X <= 62)
P(X < 86) = P( < ) = P(Z < 3) = 0.99865 {using z table}
P(X <= 62) = P( <= ) = P(Z <= -3) = 1 - P(Z < 3)= 1 - 0.99865 = 0.00135
So, P(62 < X < 86) = 0.99865 - 0.00135 = 0.9973 or 99.73%
Therefore, 99.73% of bags contain between 62 and 86 chips .
Answer:
It will take 8 seconds.
Step-by-step explanation:
To solve this, you would put it in ratio form (at least, that's what our class did). So 9 quarts of water in 6 seconds would be 9 quarts/6 seconds. You need to find the unit rate after that, so to find that you'd divide 9 by 6. This would give you 1.5 quarts per second.
Now all you need to do is find out what to multiply 1.5 by to be able to get to 12. The number you get will be how many seconds it takes for the hose to emit 12 quarts.
1.5 x <u> </u> = 12
1.5 x <u> 8 </u> = 12
8 is the number of seconds it takes for the hose to emit 12 quarts of water. To write this in ratio form, it would be
<u>12 quarts</u>
8 sec
(it's supposed to be written like a fraction, but there's no way to do that here.) Hope this helped!