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Fynjy0 [20]
3 years ago
14

A box measures 15 inches by 8 inches by 5 inches. What is the length of its longest diagonal?

Mathematics
1 answer:
Bond [772]3 years ago
5 0
17 inches


15^2 + 8^2 = 289
square root of 289 = 17 inches
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Elenna [48]

Answer:

a) 4cd^2

b) 3a^2b^3

Step-by-step explanation:

5 0
2 years ago
5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a
SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

  • the defective probability is constant and independent.
  • the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

  • Sample size (amount of clips in the package): n=20
  • Probability of defective clips: p=0.01.
  • number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169

6 0
3 years ago
A light bulb consumes 1440 watt hours per day. How many watt hours does it consume in 5 days and 18 hours
Maurinko [17]

Answer:

8,280 watt hours

Step-by-step explanation:

1440/24 = 60 watt hours per hour

5*24=120 hours in 5 days

120+18=138

138*60=8,280 watt hours

4 0
3 years ago
Mr.Williams drew
tia_tia [17]

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

8 0
3 years ago
Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by<br> combining the equations.
Citrus2011 [14]

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

4 0
3 years ago
Read 2 more answers
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