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2 years ago

What property is this ? a + (b + c) = (a + b) + c

Mathematics

2 answers:

aev [14]2 years ago

4 0

Associative property

Anni [7]2 years ago

4 0

Answer:

Associative Property of Addition

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What is it called when writing a number by adding the value of each digit

Neko [114]

Answer:

Expanded form

Step-by-step explanation:

Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.

5 0

2 years ago

What is the volume of a square pyramid with a base length of 4 cm and a height of 9 cm?

soldier1979 [14.2K]

V = 48
A square pyramid is a polyhedron with a square base and 4 triangular faces. All the triangular faces meet at a single point called the apex. The faces of the pyramid connect the bases with the apex. Volume of a Square Pyramid is the measure of the number of units occupied by the pyramid.
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7 0

2 years ago

Read 2 more answers

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

3 0

2 years ago

Read 2 more answers

Help ASAP!! Will mark brainlest!

mixer [17]

Answer:

y=5x+8.50

Step-by-step explanation:

7 0

2 years ago

Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i

zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

18^2 + 4.5^2 + BC^2

BC^2 = 324 - 20.25 = 303.75

BC = √303.75 = 17.5 feet.

3 0

2 years ago