Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal(
)
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P( > 
) = P(Z > 1.18) = 1 - P(Z 
1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
9514 1404 393
Answer:
A. no solution
B. unique solution: (x, y) = (0, 0)
Step-by-step explanation:
For these problems, you can subtract the second equation from the first to get something of the form ...
0 = (expression)
The solution of that will tell you the answer.
__
A. (2x +3y) -(2x +3y) = (4) -(9)
0 = -5 . . . . . . . . no values of x or y will make this true: NO SOLUTION
__
B. (y) -(y) = (6x) -(x)
0 = 5x
0 = x . . . . . . divide by the coefficient of x.
y = x = 0
The unique solution is (x, y) = (0, 0).
Answer:
How to solve your problem
Step-by-step explanation:
The vocabulary terms have been matched to the correct definitions as follows;
- Direct variation: describes variation between proportional relationships
- Slope: a ratio describing vertical change to horizontal change of a linear relationship on a coordinate grid
- Rate of change: a number, k, that represents the unit rate used in a direct variation equation y = kx for comparing proportional relationships between two variables x and y found by using division
- Unit rate: a speed or rate of change where the denominator (or second quantity measured) in the ratio is 1
- Constant of proportionality: the ratio of vertical change to horizontal change rate of change
<h3>What are Mathematical Terms?</h3>
- Mathematical terms refer to phrases and words that define certain arithmetic standards.
- The above are the definitions of the mathematical terms. Direct variation, for instance, expresses the relationship between two variables, x, and y.
- The slope is often used after graphing and indicates the relationship of change between the vertical and horizontal axes.
Learn more about slope here:
brainly.com/question/3493733
Answer:
Its b
Step-by-step explanation:
