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2 years ago

A) Complete the histogram. b) Work out the total number of members of the club. members

Mathematics

1 answer:

Dahasolnce [82]2 years ago

3 0

Answer:

Step-by-step explanation:

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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ

babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2 = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is 2 + 4000/x^3

when x = 10 this is positive so x = 10 gives a minimum value of A.

So y = 500/x^2

= 500/100

= 5.

6 0

3 years ago

-7 2/3 + ( -5 1/2 ) + 8 3/4 = _ ?

Vedmedyk [2.9K]

Answer:

= -1 5/12 hope this helps

6 0

3 years ago

A block of ice with an initial temperature of -20c is heater at a steady rate. The graph shows how the temperature changes as th

3241004551 [841]

Answer:

There is no graph in the question

3 0

2 years ago

I need help not good at graphs

Charra [1.4K]

Answer:

a, b

Step-by-step explanation:

a and b cause all the data are not in a form of a line

6 0

3 years ago

Read 2 more answers

According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 ye

sveta [45]

Answer:

13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.

One earthquake each 100/5 = 20 years.

What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?

40 years, so $\mu = 40/20 = 2$

This probability is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years

4 0

3 years ago