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Kay [80]
3 years ago
9

Do the ratios 30/24 and 20/16 form a proportion?

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

Yes.

Step-by-step explanation:

Reduce both fractions.

  • 30/24 = 5/4
  • 20/16= 5/4

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Your class is learning to tie knots. Each student needs a piece of rope that is 38 yard long. How many yards of rope are needed
djyliett [7]
38 yard piece for each student and there are 16 students:

38*16=608

608 yards needed for your class
6 0
3 years ago
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Each side of a cube 2.5 cm long. what is the volume?
Firdavs [7]

V ≈ 15.63cm^3

volume of a cube = side × side × side = units^3

Volume = 2.5*2.5*2.5 = 15.63^3

<em>Hoped this helped!</em>

7 0
3 years ago
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What is the distance, to the nearest hundredth, from (6, 5) to (−3, −8)?
Olin [163]

Answer:

15.81

Step-by-step explanation:

Use the distance formula:

So the distance formula for two given points is

Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )

=sqrt((-9)^2 +(-13)^2 )

=sqrt(81+169)

=sqrt(250)

=15.81

Hope this helped

:)

5 0
3 years ago
You decide to put $100 in a saving account to save for a $3000 down payment on a new car. if the account has an interest rate of
valkas [14]
Hi there
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 100
R interest rate 0.02
K compounded monthly 12
T time?
We need to solve for t
T=[log (A/p)÷log (1+r/k)]÷k
T=(log(3,000÷100)÷log(1+0.02÷12))÷12
T=170.202 years

So it's a
Hope it helps
4 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 15 years, and standard deviation of 3
Gala2k [10]

Answer:

The probability that their mean life will be longer than 13 years = .9943 or 99.43%

Step-by-step explanation:

Given -

Mean (\nu  ) = 15 years

Standard deviation (\sigma  ) = 3.7 years

Sample size ( n ) =22

Let \overline{X} be the mean life of manufacturing items

the probability that their mean life will be longer than 13 years =

P(\overline{X}>  13) =  P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}>  \frac{13 - 15 }{\frac{3.7}{\sqrt{22}}})       (Z =\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}})

                    =  P(Z> -2.53)

                    = 1 - P(Z <  -2.53)       Using Z table

                    = 1 - .0057

                    =  .9943

7 0
3 years ago
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