Answer:
42. Graph a
43. Not possible.
44. Graph e
45. Graph c
46. Graph b.
Step-by-step explanation:
42. 7x + 13 ≥ 55
⇒ x ≥ 6
So, it matches graph a.
43. 12x - 8 > 4(3x + 2)
⇒ 12x - 8 > 12x + 8
Hence, d. not possible.
44.
⇒
⇒ x > - 8
Hence, graph e matches.
45. - 4(- 2x + 3) ≤ 5 + 8x
⇒ 8x - 12 ≤ 5 + 8x
⇒ - 12 ≤ 5
This is true for all values of x, hence that matches graph c.
46. - 4(x + 3) > 8(x + 3)
⇒ - 4x - 12 > 8x + 24
⇒ 12x < - 36
⇒ x < - 3
Hence, graph b matches the situation. (Answer)
your answer is B i hope this helpss
Answer:
The degrees of freedom are given by:

The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Step-by-step explanation:
Information given
represent the sample size
represent the confidence level
represent the sample variance
represent the value that we want to verify
System of hypothesis
We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
The statistic is given by:
And replacing we got:
The degrees of freedom are given by:

The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Option A:
The another name for ∠1 is ∠JLK.
Solution:
How to Label Angles
:
There are two main ways to label angles:
1. Give the angle name by a number or a lower case letters.
2. The second way to name the angle is indicating by the vertex.
Usually the angle is denoted by three letters.
First letter and the second letter denotes the arms of the angle and the middle of the letter denotes the angle (its vertex).
To find the another name for ∠1.
The arms of the angle are LJ and LK and the vertex is L.
So, the name of the angle is ∠JLK.
Middle letter is the actual angle.
Therefore the another name for ∠1 is ∠JLK.
Option A is the correct answer.
The stack of cards are 1 inch tall all together taking up 8 inch’s (cubed)or half of the space