Answer:
The first plant produces 2x + 21 more items daily than the second plant.
Step-by-step explanation:
The daily production of the two plants are:
Plant 1: 5x + 14
Plant 2: 3x - 7
Compute the number of items first plant produces more than the second plant as follows:

Thus, the first plant produces 2x + 21 more items daily than the second plant.
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
4
)
Focus:
(
3
,
−
15
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
17
4
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
1
0
2
−
3
3
−
4
4
−
3
5
0
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
4
)
Focus:
(
3
,
−
15
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
17
4
x
y
1
0
2
−
3
3
−
4
4
−
3
5
0
Answer:
> a<-rnorm(20,50,6)
> a
[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905
[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501
Then we can find the mean and the standard deviation with the following formulas:
> mean(a)
[1] 50.72451
> sqrt(var(a))
[1] 7.470221
Step-by-step explanation:
For this case first we need to create the sample of size 20 for the following distribution:

And we can use the following code: rnorm(20,50,6) and we got this output:
> a<-rnorm(20,50,6)
> a
[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905
[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501
Then we can find the mean and the standard deviation with the following formulas:
> mean(a)
[1] 50.72451
> sqrt(var(a))
[1] 7.470221
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