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4 years ago

The diagram shows a cuboid with a volume of 42 cm3.

Mathematics

1 answer:

UkoKoshka [18]4 years ago

5 0

Answer:

7 cm

Step-by-step explanation:

Volume of cuboid = L x L x L

42 = 2 x 3 x L

6 L = 42

L = 42/6

L = 7 cm

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A triangle has a perimeter of 31. The longest side is equal to 12. The difference of the other two is 3. What is length of the s

xenn [34]

Answer:

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

let the other 2 sides be x and x - 3 , then

12 + x + x - 3 = 31

2x + 9 = 31 ( subtract 9 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11 and x - 3 = 11 - 3 = 8

The 3 sides are 12, 11, 8

with shortest side 8

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3 years ago

How do you write the equation of the horizontal line passing through (1,9)

AleksAgata [21]

Answer:

This horizontal line is written as y = 9

Step-by-step explanation:

All horizontal lines are written in the form of y = (a number). In this case, we know that the y number must be in the ordered pair given. Therefore, we simply write the equation as y = that number.

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4 years ago

(2x-3)(x+5)<br> SHOW WORK FOR POINTS

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(2x-3)(x+5)
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2x^2+10x-3x-15 equals 2x^2+7x-15

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4 years ago

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Read 2 more answers

Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired

Varvara68 [4.7K]

Answer:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

4 0

3 years ago