All categories

3 years ago

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

The area of the figure is 193.1 m

Step-by-step explanation:

The figure can be divided in two: a rectangle with a with of 11.1m and a lenght of 15.3 m; and a triangle with a base that measure 11.1 m and the height of (19.5 - 15.3 = 4.2 m).
The area of the rectangle can be calculated as follows: $area=with\times{height}$ . Then, the rectabgle area equals $11.1\times15.3=169.83m$ .
The area of a triangle can be calculated as $area=\frac{base\times{height}}{2}$ . Then, the triangle area equals $\frac{11.1\times{4.2}}{2} =23.31$ .
The sum of both areas equals the area of the figure. Then, the area of the figure equals $169.83+23.31=193.14$ ≅193.1
See the picture attached to see en detail the decomposition of the figure into a triangle and a rectangle.

You might be interested in

Tien reads for 45 minutes each night before going to bed. Which expression will

Svetllana [295]

Answer:

135 !!!!!!!!!!!!

Step-by-step explanation:

Your welcome!!!

8 0

3 years ago

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

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:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

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

$X \sim Binom(n=12, p=0.2)$

And we want to find this probability:

$P(X > 3)$

And we can use the complement rule and we got:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

4 0

3 years ago

Read 2 more answers

HELPPPPPPPPP What is the value of x in the figure at the right?

Tom [10]

Answer:

x=30

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

60=2x

/2 /2

30=x

8 0

2 years ago

Read 2 more answers

Mrs. Ramsey pays $2.98 per pack of pencils she buys. She went to the store and used a $5 discount card on her purchase. If her t

Natali [406]

Answer:

she bought 10 packs of pencils

Step-by-step explanation:

24.80+5=29.80/2.98=10

5 0

2 years ago

Can help for this questing 1) 2)

Free_Kalibri [48]

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

8 0

3 years ago