All categories

3 years ago

10 POINTS WILL GIVE BRAINLIEST WHEN IT GETS GRADED

Mathematics

2 answers:

wolverine [178]3 years ago

8 0

Answer:

Yes, both are correct

Step-by-step explanation:

Aleonysh [2.5K]3 years ago

3 0

Answer:

The answer to your question is We got the same. I think your work is correct.

Step-by-step explanation:

Data

height = 4x - 5

length = 3x + 1

width = 2x - 3

Formula

Volume of a rectangular prism = height x length x width

-Substitution

Volume = (4x - 5)(3x + 1) (2x - 3)

-Simplification

Volume = (12x² + 4x - 15x - 5)(2x - 3)

Volume = (12x² - 11x - 5)(2x - 3)

Volume = 24x³ - 22x² - 10x - 36x² + 33x + 15

Volume = 24x³ - 58x² + 23x + 15

2.- Number of computers N(t) = 5t + 106

Price of computers P(t) = 13t² + 25t + 600

Initial year = 2005

Final year = 2010

Number of years = 2010 - 2005

= 5 years

a) Calculate the numbers of computers

N(5) = 5(5) + 106

= 25 + 106

= 131 computers

b) Calculate the price

P(5) = 13(5)² - 25(5) + 600

= 13(25) - 125 + 600

= 325 - 125 + 600

= $800

c) Calculate the revenue

Revenue = 131 x $800

= $104880

You might be interested in

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

$P(X < 4) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225$

$P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827$

$P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082$

$P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180$

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0

3 years ago

Bob's Gift Shop sold 600 cards for Mother's Day. One salesman, Victoria, sold 10% of the cards sold for Mother's Day. How many c

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

600*10%

8 0

3 years ago

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile

Lubov Fominskaja [6]

$\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\ in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
\\\\\\
\cfrac{8000\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mile}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{8000\pi \cdot 60\ in}{12\cdot 5280\ hr}$

3 0

3 years ago

The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y?

Aleksandr-060686 [28]

The answer is: x = 10, y = 2

Leave a thanks because your welcome :)

Work:

x + y = 12
(10) + (2)+ = 12
Correct

x - 2y = 6
(10) - 2(2) = 6
10 - 4 = 6
Correct

8 0

3 years ago

A rectangle has a width of 8 centimeters and an area of 160 square centimeters a similar rectangle has an area of 250 square cen

Bezzdna [24]

I'm a bit confused and there is not a lot of information given to this.

From what I know, the dimensions of the larger rectangle can be found from length x width = 250 square centimetres.

Any multiplication problem that equals 250 could work out for length x width.

8 0

3 years ago