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Afina-wow [57]
2 years ago
12

Dexter has four different coins in his pocket. He randomly selects a coin from his pocket, replaces it, and selects another coin

. What is the probability that both coins are dimes? Please select one answer.
Mathematics
1 answer:
skad [1K]2 years ago
4 0

Answer:

Step-by-step explanation:

So what is the probability of the selecting the first coin? There are total of 4 different coins, so the probability of getting a dime is 1 out of 4, then he replace it, then again the probability stays the same, he still has 1 out 4 chance of getting a dime. So then it's just 1/4*1/4=1/16 :)

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LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a b
Sloan [31]
For this case we must find the surface area of a rectangular prism.
 We have then:
 A = 2 * (w * l) + 2 * (w * h) + 2 * (l * h)

 Where,
 w: width
 l: long
 h: height
 Substituting values we have:
 A = 2 * (4 * 6) + 2 * (4 * 2) + 2 * (6 * 2)

A = 88 in ^ 2
 Answer:
 
There will be needed 88 in ^ 2 of giftwrap to cover the box
8 0
2 years ago
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0
1 year ago
Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
1 year ago
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.
scoundrel [369]

Answer:

<em>The price for a 60-ounce bag of popcorn would be $16</em>

Step-by-step explanation:

<u>Function Modeling</u>

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

\displaystyle p-p_1=\frac{p_2-p_1}{V_2-V_1}(V-V_1)

We'll use the first two values (6,10) (8,20)

\displaystyle p-6=\frac{8-6}{20-10}(V-10)

Simplifying and rearranging, we get the model

\displaystyle p(V)=\frac{1}{5}V+4

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

\displaystyle p(35)=\frac{1}{5}(35)+4=11

\displaystyle p(48)=\frac{1}{5}(48)+4=13.6

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

\displaystyle p(60)=\frac{1}{5}(60)+4=16

The price for a 60-ounce bag of popcorn would be $16

6 0
2 years ago
Which of the following accurately lists all of the discontinuities for the graph below?
Murljashka [212]

Answer:

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

Step-by-step explanation:

From the graph we can see that there is a whole in the graph at x=-2.

This is referred to as a point discontinuity.

Similarly, there is point discontinuity at x=8.

We can see that both one sided limits at these points are equal but the function is not defined at these points.

At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.

3 0
1 year ago
Read 2 more answers
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