The length of the base of a triangle is twice it's height. If the area of the triangle is 25 square kilometers, find the height.

Drag the simplified value into the box to match each expression.

Maru [420]

Answer:

The answers are as follows: 12 106 42

Step-by-step explanation:

Given: $18 - 4^2 + 5 \times 2$

Using BODMAS rule (Bracket, Of, Division, Multiplication, Addition and Subtraction) we would calculate $18 - 4^2$ separately and $5 \times 2$ separately and add them. So we have $18 - 16 + 10 = 2 + 10 =12$ .

Now for the second question: $9^2 + 4 \times 7 - 3$ . we would get $81 + 28 - 3 = 106$

Next, $5^2 - 4 + 7 \times 3$ . This could be written as: $25 - 4 + 21 = 42$ . Hence the answers.

3 0

3 years ago

a rectangle plot measure 20ft. by 30ft. A 3-ft.-wide sidewalk surrounds it.Find the area of the sidewalk.

goldenfox [79]

Area of a rectangle = length (l) * width (w)
A = 30ft * 20ft
A = 600 sq ft

Now the width of a sidewalk that surroundeds it = 3 ft
so now the area of the rectangle with sidewalk= 30+3ft * 20+3ft
A = (33*23) ft
A = 759 sg ft

Area of the sidewalk = 759 - 600
A = 159 sq ft

3 0

3 years ago

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

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 we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$