barbara filled a box with layers of unit cubes.the box had a volume of 125 cubic units which sentence about the box must be true

2 answers:

6 0

The box was filled with exactly 125 unit cubes because volume means it has to be filled.

Hope this helps! ＼(≧▽≦)／

ziro4ka [17]3 years ago

3 0

Yes exactly 125 cubes will fit in the box

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Nicolas has $650 to deposit into two different savings accounts. • Nicolas will deposit $400 into Account I, which earns 3.5% an

Alinara [238K]

C) $694.25

Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:

400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25

Then u add the interests together:
28+16.25 = 44.25

Finally you add that to the amount you started with:
$650+$44.25= $694.25

5 0

3 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$