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Sphinxa [80]
3 years ago
14

A roller coaster can load 60 passengers every 5 minutes. Complete the double number line to show how many people can be uploaded

per minute.

Mathematics
2 answers:
wlad13 [49]3 years ago
6 0

Answer:

12

Step-by-step explanation:

60 divided by 5 = 12

Sophie [7]3 years ago
3 0
Passengers- 60, 12 ,0
minutes - 5, 1, 0
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The hike to the campsite is 4 km long if we take turns carrying the tents for 4/5 of a kilometer meter how many times will the t
andrey2020 [161]
Total Distance = 4km

Each person takes 4/5km

Calculate the number of times the tent has to change hands:

4 \div  \dfrac{4}{5} =  \dfrac{4}{1} \times  \dfrac{5}{4} = \dfrac{5}{1} = 5

\boxed {\boxed { \text {Answer: The tent will have to change hands 5 times.} } \\  \\ }
6 0
3 years ago
Read 2 more answers
Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
amm1812

Answers:

  • (a) 73440
  • (b)  3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

  • 18 choices for slot A
  • 17 choices for slot B
  • 16 choices for slot C
  • 15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

_nP_r = \frac{n!}{(n-r)!}

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

_nC_r = \frac{n!}{r!(n-r)!}

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

_nC_r = \frac{_nP_r}{r!}

which can be rearranged into

_nP_r = r!*\left( _nC_r \right)

these formulas are handy to help us go back and forth between nCr or nPr.

8 0
3 years ago
What is the solution of the system
Fantom [35]
Y-2x=8
16+4x=2y
Rearrange the first equation equal to y
Y=2x+8
Sub the rearranged equation into the second equation and solve for x
16+4x=2(2x+8)
16+4x=4x+16
16-16=4x-4x
0=0
There would be no solution
Hope this helps!
8 0
3 years ago
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The thickness of a part is to have an upper specification of 0.925 and a lower specification of 0.870 mm. the average of the pro
SVETLANKA909090 [29]
To solve this problem, we make use of the z statistic. The formula for the z score is:z score = (x – u) / swhere x is the sample value = 0.90, u is the sample mean = 0.917, and s is the standard deviation = 0.005
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Therefore there is a 99.97% chance that it will be above 0.90 mm
7 0
3 years ago
To rent a taxi in Los Angeles, the taxi service charges a flat rate of $11.20 and an additional $3.10 per mile driven. Write an
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Answer:

  • y = 3.1x + 11.2

Step-by-step explanation:

Flat rate is the y- intercept b = 11.2

Charge per mile is the slope m = 3.1

<u>The equation is:</u>

  • y = 3.1x + 11.2
6 0
2 years ago
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