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2 years ago

The volume of a triangular prism is 437 units.The height is 23 units. What is the area of the base?

Mathematics

2 answers:

inessss [21]2 years ago

7 0

437/23=19

Volume = area of base times height

So area of base equals volume divided by height

Aliun [14]2 years ago

3 0

Answer:

Sorry

Step-by-step explanation:

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Given f(x)=x^2+1 and g(x)=x. Which expression is not a polynomial?

diamong [38]

Answer:

i think its not a polynomial

Step-by-step explanation:

7 0

2 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

2 years ago

The sum of 2 consecutive integers is -33.If n is the first integer,which equation best models the situation?

monitta

Answer:

You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.

Step-by-step explanation:

$(n) + (n + 1) = - 33 \\ 2n + 1 = - 33 \\ 2n = - 32 \\ n = - 16$

5 0

3 years ago

The probability distribution for a<br> random variable x is given in the table.

Hoochie [10]

Answer: 0.79

Step-by-step explanation:

I will suppose that this is not a continuos probability, as the individual probabilites add up to 100%.

If you want to obtain the probability that x ≤ 0, then you need to add the probability for the cases x= 0, x = -1, x = -2 .... etc

This is:

x = 0, p = .16

x = -2, p = .33

x = -3, p = .13

x = -5, p = .17

Then, the probability where x takes a negative value or zero {-5, -3, -2, 0} is:

P = 0.16 + 0.33 + 0.13 + 0.17 = 0.79

7 0

2 years ago

Allison counted 56 cars parked in the lot. Eight parking spaces remained empty Plan, solve, and check to find the ratio of empty

Alexeev081 [22]

The ratio is 1:8 for empty to full.

3 0

3 years ago