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Black_prince [1.1K]
3 years ago
12

The arrow on the spinner is to be spun once. What is the probability that the arrow will stop on 2? A.1/2 B.1/3 C.1/4 D.1/6

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
How many numbers are on there? And how many times does 2 appear on the spinner?
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R leaks out of a barrel so that the rate of change in the water level is proportional to the square root of the depth of the wat
Irina-Kira [14]
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
  y'(t) = k√(y(t)) . . . . for some proportionality constant k
  y(0) = 30
  y(1) = 29

We observe that a function of the form
  y(t) = a(t - b)²
will have a derivative that is proportional to y:
  y'(t) = 2a(t -b)

We can find the constants "a" and "b" from the given boundary conditions.
At t=0
  30 = a(0 -b)²
  a = 30/b²
At t=1
  29 = a(1 - b)² . . . . . . . . . substitute for t
  29 = 30(1 - b)²/b² . . . . . substitute for a
  29/30 = (1/b -1)² . . . . . . divide by 30
  1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
  b = 30 +√870 . . . . . . . . simplify

The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
5 0
3 years ago
Which of these numbers is between 1 and 3/4 ?
harina [27]
The fraction seven over eight equals to .875, being in between 1 and 3/4

Hope this helped!!!
8 0
3 years ago
Read 2 more answers
Are 2b+ b and 3b equivalent expressions?
MAVERICK [17]

Answer:

yes

Step-by-step explanation:

2b+b=3b because2+1 = 3

5 0
3 years ago
Write a system of equations to describe the situation below, solve using elimination, and fill in
Andrej [43]

Answer:  Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations.  Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

Rearrange the second equation to isolate one of the variables.  I'll pick C:

24C + 26A = $102

C  = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3  [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1   [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

---

Monday:   16*(1) + 42*(3)  = $142   ?   YES

Tuesday:  24*(1) + 26*(3) = $102   ?    YES

<u>Child is $1 and Adult is $3, per person.</u>

6 0
2 years ago
A shop keeper sold some products the results of the number of products are shown below which product had the greatest percentage
NeX [460]

Answer: Apple Juice

Step-by-step explanation: Right of the bat we know 40 out of 80 is 50%. This is already less then the 68% we are given, so therefore it can't be mango jelly. 0.475 would be made into a percent of 47.5%. We know that the fraction would be 475 over 1000, so we need to move the decimal point once to the left for each number, giving us the percent above. 68% is greater than 47.5, making Apple juice the winned

8 0
3 years ago
Read 2 more answers
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