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3 years ago

Drag and drop the correct terms to classify the triangles based on sides or angles.

Mathematics

1 answer:

romanna [79]3 years ago

3 0

Answer:

1. Scalene 2.Acute 3.Obtuse 4.equilateral 5.right

Step-by-step explanation:

Have a good day!

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A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random varia

kumpel [21]

Answer:

The value of n is 7.

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they buy soda at least once each week, or they do not. Since they were selected randomly, the teens are independent of each other, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In the binomial distribution, we have that n is the size of the sample. In this question, seven teens are randomly selected, which means that the value of n is 7.

7 0

3 years ago

If x varies inversely as the square of y and if x=3 when y=-1, what is the value of x when y =3

lyudmila [28]

Answer:

$x$ would be $(1/3)$ when $y = 3$ .

Step-by-step explanation:

The question states that $x$ varies "inversely" as $y^2$ . In other words, there is a non-zero number $a$ (a constant) such that:

$\displaystyle x = \frac{a}{y^2}$ .

The challenging part is to find the value of $a$ in this equation.

Given that $x = 3$ when $y = -1$ , replace the $x$ in this equation with $3$ and $y$ with $(-1)$ . This equation should still be valid:

$\displaystyle 3 = \frac{a}{(-1)^{2}}$ .

Solve for $a$ :

$a = 3 \times (-1)^2 = 3$ .

Hence, the relation between $x$ and $y$ becomes:

$\displaystyle x = \frac{3}{y^2}$ .

Find the value of $x$ when $y = 3$ by replacing the $y$ in this equation with $3$ .

$\displaystyle x = \frac{3}{3^2} = \frac{1}{3}$ .

In other words, the value of $x$ would be $\displaystyle \frac{1}{3}$ when $y = 3$ .

7 0

3 years ago

(b) A color printer prints 26 pages in 10 minutes.

sdas [7]

Answer:

Equals to 0.384 seconds (round if needed)

Step-by-step explanation:

10 / 26 = 0.384615385

5 0

3 years ago

What would be the answer to this ?

djyliett [7]

(m^4 + m^3 + 4) + (-5m^4 + 4m + 1) =

m^4 + (-5m^4) + m^3 + 4m + 4 + 1 =

-4m^4 + m^3 + 4m + 5

The answer is B

3 0

3 years ago

Factor the following expression. Simplify your answer.<br> 3s(s - 1)^1/3 + 2(s - 1)^4/3

denis23 [38]

Answer:

Step-by-step explanation:

$3s\sqrt[3]{s-1} + 2 \sqrt[4/3]{s-1} =\\3s\sqrt[3]{s-1} + 2 \sqrt[1/3]{(s-1)^4} =\\3s\sqrt[3]{s-1} + 2 (s-1)\sqrt[1/3]{s-1} =\\\sqrt[3]{s-1}*(3s + 2 (s-1)) =\\\sqrt[3]{s-1}*(3s + 2s-2)) =\\\sqrt[3]{s-1}*(5s -2) \\$

6 0

2 years ago

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