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Mila [183]
3 years ago
10

Question 4: Please help, I have no idea what the answer is.

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0
The correct answer is C.
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Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w
Darya [45]

Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

  • P(Charlie Wins)=2/4
  • P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

  • P(Lucy Wins)=2/4
  • P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|

Expected Profit

=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0

Lucy's expected profit from the game is $0.

7 0
3 years ago
The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin
bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0
3 years ago
Graph a line that contains the point (4, 3) and has a slope of 1/2
Lapatulllka [165]

Answer:

y=1/2x+1

Step-by-step explanation:

one dot on the 1 on the y axis

then more one unit up and two units to the left

and then from the first point (0,1) go one unit down

and two to the right. then make the line with the three points

3 0
3 years ago
Mari adds 4 spoonfuls of honey to a pitcher of iced tea.Each spoonful holds 5 mL of honey. How many mL of honey did Mari add in
Marina86 [1]
The answer is fir this question 20 ml
7 0
2 years ago
Read 2 more answers
A rental car company offers a rental package for a mid-size car.
skelet666 [1.2K]

Answer:

y=45x+40

Step-by-step explanation:

Let

x -----> the number of days

y ----> the total cost in dollars,

we know that

The equation of a linear function in slope intercept form is equal to

y=mx+b

where

m is the slope o rate of the linear equation

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem we have

The slope is equal to the rental cost per day

so

m=45\frac{\$}{day}

When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)

The y-intercept is the point (0,40)

so

b=\$40

substitute the values

y=45x+40

8 0
3 years ago
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