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cupoosta [38]
3 years ago
5

Four children randomly line up, single file. What is the probability that they are in height order, with the shortest child in f

ront? All of the children are of different heights.
A 1/4
B 1/256
C 1/16
D 1/24
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0

Answer:

the answer is D.  1/24

Step-by-step explanation:

The number of ways for the children to line up is 4!=4×3×2×1=24 -- there are 4 choices for who is first in line, then 3 for who is second, etc. Only one of these lines has the children in the order specified.

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What is 21.6 rounded to the nearest whole number
miv72 [106K]

Answer:

22

Step-by-step explanation:

21.6 would round up because 6 is closer to 10 than it is 0

7 0
3 years ago
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1. Which other expression has the same value as (-14) - 8?​
ludmilkaskok [199]

Answer: −22

Step-by-step explanation:

=−14−8

=−14+−8

=−22

6 0
2 years ago
A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach
Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\  \end{gathered}

Let's evaluate the value of k for each day.

Thus, on monday,

\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Tuesday:

\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Wednesday:

\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}

Thursday:

\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0
1 year ago
What is the x and y intercept for 4x-5y=-20
yuradex [85]
X intercept is when y = 0 so 4x = -20, x=-5 
y intercept when x = 0 so -5y = -20, y=4
7 0
3 years ago
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Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
MakcuM [25]

Answer:

d = \sqrt{13} or d = 3.61

Step-by-step explanation:

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5 0
3 years ago
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