Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6
Three decimals:
5.414
5.415
5.416
Ordered decimals:
5.414,5.415,5.416,5.417,5.418
F(b)-F(a)/b-a
A=10 B= -2
F(a) =4 F(b)=17
17-4/-2-10
13/-12
Answer:
V = x(19-2x)(4-2x)
Step-by-step explanation:
We are given;
Length of flat piece of material =19 inches
Width of flat piece = 4 inches
We are told that the open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides
Thus, we will now have;
length of open box = (19-2x) inches
Width of open box = (4-2x) inches
Height of box = x inches
We know that: Volume of box = length × width × height
So, plugging in the relevant values, we have;
Volume of box(V) = x(19-2x)(4-2x)
Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
<h3>What is the Empirical Rule?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
More can be learned about the Empirical Rule at brainly.com/question/24537145
