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3 years ago

A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

8 0

The Sample Space for the experiment is {B, W, R, G, P}. :) The answer to the second question is 7/12.
Hope this helps!

Verdich [7]3 years ago

5 0

ANSWER 1 :

Sample Space ( S )= {B, W, R, G, P} Option (ii)

Explanation:

There are five types of phone cases. Colors of the phone cases are Black, White, Red, Green, Pink.

One phone case is selecte as random, in this case we have 5 choices to select one phone case at a time.

So, Sample space is S = {B, W, R, G, P} Option(ii)

Final answer.

Answer 2 :

Probability for student earn grade A = $\frac{7}{12}$

Explanation :

There are total 24 students in a class.

All student appeared in a test.

14 students are got grade A

and 10 students are got grade B.

One student choose at random whose grade is A.

Probability for selected grade A student = (total students of grade A)/(Total number of student in a class)

Probability for selected grade A student = $\frac{14}{24} [/tex]Probability for selected grade A student =[tex] \frac{7}{12}$

Final answer.

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

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3 years ago

) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

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

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

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3 years ago

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Ksivusya [100]

The answer is -1.2917960675

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What is the equation of the line when m = 5 and b = -4?

Alja [10]

Answer:

Y = 5x -4

Step-by-step explanation:

You literally just plug the numbers into the equation below:

y = mx + b.

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Answer: 22

Step-by-step explanation:

I got it right on khan academy

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