Find the GCF of each pair 20 and 36

Find the surface area of the figure shown, correct to 2 decimal places.

agasfer [191]

Answer:

$230.73m^2$

Step-by-step explanation:

$A=2a^2+4ah=2*4^2+4*4*4=96m^2$ (square prism)

$A=2\pi rh+2\pi r^2=2*\pi *4*9+2*\pi *4^2 = 326.73m^$ (cylinder)

$326.73-96=230.73m^2$ ( $\frac{3}{4}$ cylinder)

7 0

2 years ago

Add - (remember only like terms can be combined when add/subtract) (3x + 5) + (2x - 8)

Afina-wow [57]

Answer:

5x-3

Step-by-step explanation:

(3x + 5) + (2x - 8)

3x+5+2x-8

Bringing the like terms together,

3x+2x+5-8

5x-3

7 0

3 years ago

Each bag of Skittles is supposed to have at least 30 Skittles. A machine that fills bags has a 0.005 probability of under fillin

telo118 [61]

Answer:

The standard deviation for the number of bags that are underfilled is 2.236.

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 interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.

In this question:

Expected number of underfilled bags in a sample of n bags is:

$\mu = 0.005*n$

1000 bags, so

$\mu = 0.005*1000 = 5$

Standard deviation $S = \sqrt{5} = 2.236$

The standard deviation for the number of bags that are underfilled is 2.236.

5 0

2 years ago

Is x²-x divisible by 2?

bagirrra123 [75]

Answer:

Yes

Step-by-step explanation:

There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.

3 0

3 years ago

Read 2 more answers

3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more

Svetllana [295]

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

Initially

Ruby: 10 strawberries

Sapphire: 30 strawberries

After x minutes

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

3 0

3 years ago