Answer:
The answer would be Y= 5 ± √67 / 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces
We know that 95% of the area lie between -2 and 2 std deviations from the mean.
i.e. Probability for lying in the middle of 95%
Z score 
Between 46 and 74 oz.
b) Between 12 and 57
convert into Z score

P(-6.86<z<-0.43)
=0.5-0.1664=0.3336
c) X<30 gives Z<-4.83
i.e. P(X<30) =0.00
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:
Step-by-step explanation:
x+y≥-4
consider x+y=-4
when x=0,y=-4
point is (0,-4)
when y=0,x=-4
point is (-4,0)
draw a line through (0,-4) and (-4,0)
put x=0,y=0
0+0≥-4
which is true.
Hence origin lies on the graph.
graph is on and right of the line.
To answer this item, we let x be the number of counters that Max has. By the representation, the number of counters that Jack has is 3x.
a. Ratio of counters,
3x:x
which can be simplified by dividing by x both sides of the ratio giving us the answer of,
3:1
b. Fraction of counters Max have,
fraction = x / (x + 3x) = 1/4