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3 years ago

The cost of mining gold for a mining company is $920 per gram.How much will it cost the company to mine 0.2 kilograms?

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

$184

Step-by-step explanation:

You might be interested in

Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.

Elis [28]

ANSWER

$- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

$|v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2}$

The unit vector in the direction of this vector is

$= \frac{v}{ |v| }$

$= - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j$

$= - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

7 0

3 years ago

An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do th

irina [24]

Answer:

22500000000

Step-by-step explanation:

75,000 times 300,000 equals 22500000000

4 0

3 years ago

I don't even know how to figure this out. I don't have a formula for this

yuradex [85]

Answer:

$\sin\theta=\dfrac{15}{17}$

$?=15$

Step-by-step explanation:

Use the trigonometry formula

$\cos^2\theta+\sin^2\theta=1$

You are given that

$\cos \theta=\dfrac{8}{17}$

Substitute into the first formula

$\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}$

Angle $\theta$ is acute angle, then the sine of this angle is positive and

$\sin\theta=\dfrac{15}{17}$

3 0

3 years ago

In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz

Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a $\frac{1}{4} = 0.25$ probability of getting ir right. So $\pi = 0.25$ . There are five questions, so $n = 5$ .

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

$P = 0.75(0.25) = 0.1875$