In a game, 2 players each flip a coin. I fboth land on heads, player A gets 2 points and player Bioses 1 points. Ifboth land on tails, player B gets 2 points and player A loses 1 point. Find the expected value of the game for each player.

Answer:

2.25 feet.

Step-by-step explanation:

Formula: divide the value in inches by 12 because 1 foot equals 12 inches.

So, 27 inches = 27 /12  =  2.25 feet.

Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:

[tex]H_0: \mu \leq 500[/tex]

At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:

[tex]H_1: \mu > 500[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]

[tex]z = 2.9[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].

Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

A similar problem is given at https://brainly.com/question/25728144

Answer:

B.

Step-by-step explanation:

she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.

Answer:

I think it's B

Step-by-step explanation:

(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =

45.95 + extra gift (x) ≤ 60

Answer:

The graph is attached below.

Step-by-step explanation:

First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.

This gives us x is greater than -1. So, we can graph:

Answer:

14 and 37

Step-by-step explanation:

[tex]x-y =23\\xy=518[/tex]

x= mother's age

y= Monique's Age

[tex]y=\frac{518}{x}[/tex]

[tex]x=23+y[/tex]

[tex](23+y)y=518[/tex]

[tex]23y+y^{2} =518[/tex]

[tex]y^{2} +23y-518=0[/tex]

[tex](y-14)(y+37)=0[/tex]

[tex]y=14[/tex]  monica is 14 years old

The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]

Hope this helps

Step-by-step explanation:

a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:

Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries

Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

b.

Because we know the population standard deviation, we can use a z test

Plugging in the values:

Expected population mean: 24.57

Sample average: 23.89

Sample size: 30

Population standard deviation: 2.4, we get 0.1207 as our p-value.

c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)

d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis

Answer:

Step-by-step explanation:

Answer:

I believe it'd 69.5

Step-by-step explanation:

if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric

Answer:

we're your question

Step-by-step explanation:

again please

Answer:

Yes

Step-by-step explanation:

what is it

hope this helps,

(Info is in attachment)

Answer:

He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.

Answer:

it means that he was dating another person while already dating

Step-by-step explanation:

it like when ur dating 2 people at one time without the other person knowing

Answer:

To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y.  This will find f^-1(x).

Step-by-step explanation:

Step-by-step explanation:

Domain -5 range 5 ,...............

Answer:

I Think it's True (If it's not please don't hate)

Answer:

I think 38.7 if you do<j it would be 38.7

Answer:

I use connexus :)

Step-by-step explanation:

Answer:

Factors of 20 and 10: P ∪ Q

Factors of 20 but not 10: U ∩ (P ∪ Q)c

Neither factors of 20 or 10: (P ∪ Q)c

Answer:

You have two sets of parallel sides. A square has two sets of parallel sides, and it has the extra condition that all of the angles are right angles. So a square is definitely going to be a rhombus. Now, all rhombuses have four sides.

Step-by-step explanation:

Answer:

A Parallelogram

Step-by-step explanation:

Answer:

29.4

Step-by-step explanation:

Answer: its 45% for sure

Answer:

i believe 45%

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

https://brainly.com/question/20690803

Answer:

a≥11

Step-by-step explanation:

Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.

Answer:

20 and 35 because it says that she wrote a check.

Step-by-step explanation:

===================================================

Explanation:

To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2

(low+high)/2 = (0.262+0.622)/2 = 0.442

The value 0.442 is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.

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

Alternative Method:

Subtract the endpoints to find the confidence interval width

width = high - low = 0.622 - 0.262 = 0.36

Cut this in half to get the margin of error (MoE)

MoE = width/2 = 0.36/2 = 0.18

Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center

Answer:

6.4 ounces

Step-by-step explanation:

If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.

32 / 5 = 6.4

Answer: If there's a remainder, then it's 6 with a remainder of 2

If it's a decimal (depends on what grade your sister's in), it's 6.4

If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5

Step-by-step explanation:

32÷5=6r2, 6.4, or 6 2⁄5