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2 years ago

Find the lateral surface area of the

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

7 0

9514 1404 393

Answer:

250 cm²

Step-by-step explanation:

The lateral area is the total area of the 5 rectangular faces. Each is ...

A = LW = (10 cm)(5 cm) = 50 cm²

The lateral surface area is ...

LSA = 5 × 50 cm² = 250 cm²

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Fator out the GCF and re-write 6x^3-9x^2+12x

guajiro [1.7K]

The GCF of 6^3, -9^2, and 12x is 3x, so you could rewrite it as
3x(2x^2-3x+4), hope this helps!

6 0

2 years ago

Read 2 more answers

A shop sells chocolate, vanilla and strawberry ice creams. 45% of the ice creams sold are vanilla, and 1/4 are strawberry. What

OverLord2011 [107]

Answer:

30%

Step-by-step explanation:

Well since we know that 45% is vanilla that means we have part of our answer

Also we know we sold 1/4 strawberry which in percent that would be 25%

If we add 45% with 25% 45+25=70 then since something can only be 100%

100%-70%=30%

you sold 30% chocolate

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2 years ago

A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0

yawa3891 [41]

Answer:

(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}$

Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin

So, for the fair coin, the probability that the number of heads is less than 4 is:

$P(x$

Where, for example, P(0) and P(1) are calculated as:

$P(0)=\frac{10!}{0!(10-0)!}*0.5^0*(1-0.5)^{10-0}=0.0009\\P(1)=\frac{10!}{1!(10-1)!}*0.5^1*(1-0.5)^{10-1}=0.0098$

Then, $P(x$ , so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

$P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)$

Where, for example, P(4) is calculated as:

$P(4)=\frac{10!}{4!(10-4)!}*0.3^4*(1-0.3)^{10-4}=0.2001$

Then, $P(x\geq4 )=0.3504$ , so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

7 0

3 years ago

Which is the correct form of the quadratic formula? A) x = b ± b2 - 4ac a B) x = b ± b2 - 4ac 2a C) x = - b ± b2 - 4ac a D) x =

ozzi

Hello!

The quadratic formula is

$x = \frac{-b +- \sqrt{ b^{2}-4ac } }{2a}$

So the answer is D

Hope this helps!

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2 years ago

30 POINTS FOR ANYONE THAT CAN HELP WITH THIS

Mars2501 [29]

Alright listen to the key words in the question specifically “CORRESPONDING” if u don’t know what corresponding means it means very similar or equivalent in comparison I will help u with the first 2 for u the corresponding Angle to a is angle x. ur basically looking for the same angle on 2 different triangles and the answer to angle b is angle z and if it’s 2 letters it means it one of the sides or lines to the triangle so line ab would be line xz on the other triangle I hope this helps

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2 years ago