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Ket [755]
3 years ago
9

Assume the triangular prism has a base area of 49 cm^2 and a volume of 588 cm^3. Which base side length does the rectangular pri

sm need to have the same volume?

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

Length = Width = 7 cm

Step-by-step explanation:

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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
The set of ordered pairs in the mapping below can be described as which of the following?
PIT_PIT [208]
Because the x numbers are used more than once it cannot be a function. As for the the relation if its going through the origin then it would be a relation. im going to go with D
4 0
3 years ago
I need help can someone please help me
Mkey [24]

Answer:

If you are trying to find the other degree its 114.

Step-by-step explanation:

180-66=114

7 0
3 years ago
What is the solution to the inequality.
Novosadov [1.4K]

Answer:

a. x<7 and x>-7

Step-by-step explanation:

√x²<√49

-7<x<7 hope this helps

7 0
2 years ago
Okay so I have finals in a week on the picture above ^<br><br> How can I pass? (Asking for advice)
borishaifa [10]
Study maybe ? Lol ...
7 0
3 years ago
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