When playing roulette at the Venetian casino in Las Vegas, a gambler is trying to decide whether to bet $5 on the number 27 or to bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3. From Example 6, we know that the expected value of the $5 bet for a single number is -26. For the $5 bet that the outcome is 0, 00, 1, 2, or 3, there is a probability of 5>38 of making a net profit of $30 and a 33>38 probability of losing $5.
a. Find the expected value for the ​$5 bet that the outcome is 00, 0, or 1.
b. Which bet is​ better: a $5 bet on the number 25 or a $5 bet hat the outcome is any one of the numbers 00, 0, or 1? Why?

Answer:

b)   a > 4

Step-by-step explanation:

Step(i):-

Given inequality equation

                              2 a + 4 > 12

subtracting ' 4' on both sides , we get

                              2 a + 4 -4 > 12 -4

                               2 a > 8

Step(ii):-

dividing '2' on both sides , we get

                             [tex]\frac{2a}{2} > \frac{8}{4}[/tex]

                             a > 4

Answer:

B

Step-by-step explanation:

Got it right

Answer:

1.B

2.A

Step-by-step explanation:

Answer:

The answer is

1 B

2 A

Step-by-step explanation:

I did it on khan academy :)

Answer:

  79.78125

Step-by-step explanation:

The average rate of change (m) on an interval [a, b] is found as ...

  m = (g(b) -g(a))/(b -a)

Here, that is ...

  m = (g(4) -g(-2))/(4 -(-2))

  g(-2) = 2(-2)^4 +7/(-2)^2 = 32+7/4 = 33.75

  g(4) = 2(4^4) +7/(4^2) = 512 +7/16 = 512.4375

Then ...

  m = (512.4375 -33.75)/6 = 478.6875/6 = 79.78125

The average rate of change of g(x) on [-2, 4] is 79.78125.

_____

The attached graph verifies the calculation and shows the line with that slope goes through the endpoints of the interval.

Answer:

Its -i on edge

Step-by-step explanation:

Answer:

Could you please add a photo or the quadratic function?

Answer:

No

Step-by-step explanation:

4 indicates how far to travel on the x-axis while 3 indicates how far to travel in the y-axis

Answer:

Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.

It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.

For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.

This average would be the population mean: the average performance of the machines of the same type or process.

Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.

Step-by-step explanation:

For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=100\\\\H_a:\mu< 100[/tex]

The significance level is 0.05.

The sample has a size n=14.

The sample mean is M=92.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=14-1=13[/tex]

This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t<-2.4944)=0.0134[/tex]

As the P-value (0.0134) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that machine A produces significantly less units per day than the average.

Answer:

.............gcg................

Answer:

$21473.33

Step-by-step explanation:

Let the original price be x

76% discount gives $153.60

This means 24/100 * x = $153.60

X= 153.60 * 100 /24 = $21473.33

The original price of the sofa is $21473.33.

Discount is the difference in price between the selling price of an object and the price listed on the object marked price.

Given that, a sofa is being sold for $153.60, which was on the 76% discount.

Let the original price be x,

x - 76% of x = $153.60,

⇒ 24/100 · x = $153.60

⇒ x = 153.60 · 100 /24 = $21473.33

Hence, the original price of the sofa is $21473.33.

Learn more about discounted price, click;

https://brainly.com/question/19867145

#SPJ2

Answer:

2/9

Step-by-step explanation:

brilliant

9 letters

2 i in the word

Answer:

  see below

Step-by-step explanation:

If x represents the number of dimes, then 2x will represent twice the number of dimes. This is the number of quarters, since there are twice as many quarters as dimes.

There are 6 more nickels than dimes, so the number of nickels is 6 more than x. It is (x+6).

If we use the monetary values in cents, then the total of all coins is ...

  25(2x) +10(x) + 5(x+6) = 485 . . . . . . matches choice D

Answer:

dy/dx = xy^3-xy   =

y = ± √2 = ± 1.4142

x  =  0

y  =  0

Step-by-step explanation:

Step  1  : Simplify y/d

Step  2  :  See below

Step  3  :  See below

Pulling out like terms

Trying to factor as a Difference of Squares

Answer:  

y = ± √2 = ± 1.4142

x  =  0

y  =  0

Hope this helps.

B. (x-3)2+(y-3)2=16

Equation of circle is

(x-a)2+(y-b)2=r2

Answer:

[tex](a)s^2\\(b)162=2s^2\\(c)s=9$ ft[/tex]

Step-by-step explanation:

(a)Base Area

Side length of square base=s

Area of a Square of side length s=[tex]s^2$ ft^2[/tex]

(b)

Volume of a Pyramid[tex]=\frac{1}{3}X$Base Area X Height[/tex]

Substituting the given values, we have:

[tex]162=\frac{1}{3}Xs^2 X 6\\\\162=2s^2[/tex]

(c)Solving the equation derived from (b)

[tex]162=2s^2\\$Divide both sides by 2\\s^2=81\\s^2=9^2\\s=9$ ft[/tex]

Solving this equation shows that s =9 ft.

Answer:

49905 dividido por 81 = 616.11

32256 dividido por 25= 1290.24

58308 dividido por 64= 911.06

9218 dividido por 768= 12.0026.

Answer:

is there a photo ?

Step-by-step explanation:

Answer: 5%

Step-by-step explanation:

15 / 300 = 0.05

0.05 * 100 = 5%

Answer:

please refer tp the photo . It s D. 101 in2

Step-by-step explanation:

Answer:

%=-7t

solution -7% per 1:00

Step-by-step explanation:

Hope this helps

Answer:16

Step-by-step explanation: divded it

Answer:

x² + 12x + 35

Step-by-step explanation:

The area of the blue section is x * x = x².

Pink: x * 7 = 7x

Green: x * 5 = 5x

Orange: 7 * 5 = 35

When we add these up we get x² + 12x + 35. Hope this helps!

Answer: x2 + 12x + 35

Step-by-step explanation:

Area of a rectangle = l x w

A = (x + 7) (x + 5)

= x2 + 5x + 7x + 35

= x2 + 12x + 35

Answer:

a) (17.227, 22.773)

b) 2.773

c) 2.773

Step-by-step explanation:

Given:

Sample size, n = 25

Standard deviation, s = 4

Sample mean, x' = 20

Level of significance, a = 0.98 = 1 - 0.98 = 0.02

The degrees of freedom, df, for a t-distribution = n - 1 = 25 - 1 = 24

Using the t table, the Critical value = [tex] t_\alpha _/_2, _d_f = t_0_._0_2_/_2, _2_4 = t_0_._0_1_, _2_4 = 3.4668 [/tex]

Margin of error, E = [tex] t_\alpha _/_2, _d_f * \frac{\sigma}{\sqrt{n}} = 3.4668 * \frac{4}{\sqrt{25}} = 2.773 [/tex]

Limits of 98% confidence interval, we have:

Lower limit : x' - M.E = 20 - 2.773 = 17.227

Upper limit: x' + M.E = 20 + 2.773 = 22.773

Therefore, (17.227, 22.773) is 98% confidence interval.

b) Let's the margin of error by taking half the length of the confidence interval.

Since we are to use half the length of CI, we have:

[tex] M.E = \frac{22.773 - 17.227}{2} = 2.773 [/tex]

c)[tex] M.E = t_\alpha _/_2, _d_f *s/\sqrt{n} [/tex]

[tex] = t * \frac{s}{\sqrt{n}} = 3.4668 * \frac{4}{\sqrt{25}} = 2.773 [/tex]

Answer:

What Are The Options???

Step-by-step explanation:

Answer:

A (1/7)

Step-by-step explanation:The square root goes into 1 and 49 turning them into 1 and 7, which means it's a real number and u get A.

Answer:

1/7

Step-by-step explanation:

If you multiply 1/7 by 1/7 you get 1/49. That is why it is the square root.

Answer:

37 different combinations

Step-by-step explanation:

First of all, we will count the possible combinations that add up to 29.

-Losses only;

One possibility: 29 losses

-Ties & losses;

Nine possibilities: 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses

-Wins & losses

Five possibilities: 1 win and 24 losses; 2 wins and 19 losses; 3 wins and 14 losses; 4 wins and 9 losses; 5 wins and 4 losses

Now, what we want to find from the question is number of possibilities for wins, ties, and losses all together. So, we will count up the ties and losses in the remainder for each case of a given number of wins.

Thus;

For 0 Wins: 0 ties and 29 losses; 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses.

Which sums up to 10 possibilities

For 1 win; 0 ties and 24 losses; 1 tie and 21 losses........8 ties and 0 losses.

Which sums up to 9 possibilities

For 2 wins; 0 ties and 19 losses; 1 tie & 16 losses............ 6 ties and 1 loss.

Which sums up to 7 possibilities

For 3 wins; 0 ties and 14 losses; 1 tie and 11 losses ....... 4 ties and 2 losses.

Which sums up to 5 possibilities

For 4 wins; 0 ties & 9 losses; 1 tie and 6 losses....... 3 ties and 0 losses

Which sums up to 4 possibilities

For 5 wins; 0 ties and 4 losses; 1 tie and 1 loss

Which sums up to 2 possibilities

Thus;

Total number of possibilities of combinations of wins, ties and losses = 10 + 9 + 7 + 5 + 4 + 2 = 37

Answer:

B

Step-by-step explanation:

Parallel lines this means they have the same slope -4

The coordinate is (0,0) which means x=0 and y=0

So,

Finding b(y-intercept) for the parallel line

y=mx+b

Where y=0, m=-4 and x=0

0=(-4)(0)+b

0=0+b

So

b=0

So slope intercept form of the parallel line is

y=(-4)x+(0)

y=-4x

Answer:

the answer is 6 1/10

Step-by-step explanation:

Step-by-step explanation:

Each roll has 6 possible outcomes, so two rolls have 36 possible sums.  We can make a table showing what these sums are:

[tex]\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right][/tex]

Of the 36 sums, 10 are greater than 8, and 18 are odd.

P(A) = 10/36 = 5/18

P(B) = 18/36 = 1/2

Answer:

  Exactly one solution

Step-by-step explanation:

Any linear equation in one variable has exactly one solution.

__

Here, it appears to be x=10.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4=3x+8

Step 1: Subtract 3x+8 from both sides.

x2+4−(3x+8)=3x+8−(3x+8)

x2−3x−4=0

Step 2: Factor left side of equation.

(x+1)(x−4)=0

Step 3: Set factors equal to 0.

x+1=0 or x−4=0

x=−1 or x=4

Answer:

x=−1 or x=4