All categories

3 years ago

Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)

Mathematics

1 answer:

vladimir2022 [97]3 years ago

6 0

Answer:

11v+35v-30

Step-by-step explanation:

You might be interested in

How many years will it take for the area of the glacier to decrease to 15 square kilometers

atroni [7]

Answer:

20ln(3)

Step-by-step explanation:

Put 15 for A and solve for t.

15 = 45e^(-.05t)

15/45 = 1/3 = e^(-.05t) . . . . divide by 45

ln(1/3) = -.05t . . . . . . . . . . . take natural logs

20ln(3) = t . . . . . . . . . . . . . . multiply by 20, simplify

It will take 20·ln(3) years for the area to decrease to 15 km^2.

5 0

3 years ago

What is the greatest integer solution of 5-3m<11

ki77a [65]

The solution to your problem is m>-2

8 0

3 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

3 years ago

Number of plane surface in a matches box

DanielleElmas [232]

Answer:

The answer is 6

Step-by-step explanation:

Same as plane surfaces on a regular cuboid

7 0

3 years ago

Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying what number?

prisoha [69]

Multiplying a number by 4/5 and then dividing by 2/5 is the same as multiplying by 2

5 0

3 years ago