Initial value question help

Answer:

C

Step-by-step explanation:

[tex] \sf {a}^{c} \times {a}^{b} = {a}^{b + c} \\ \sf = {8}^{11} \times {8}^{x} \\ \sf = {8}^{11 + x} (c)[/tex]

Part (a)

If you win $12165, then you really net 12165-35 = 12130 dollars when you consider the ticket fee. So this is the true amount of money you win, or take home at the end of the day. This is before taxes.

Multiply 0.002 with 12,130 to get 0.002*12130 = 24.26

We'll use this later so let A = 24.26

The chances that you don't win are 1 - 0.002 = 0.998 which multiplies with -35 to indicate you lost $35 in playing the game. So we get B = 0.998*(-35) = -34.93

Lastly, add the values of A and B to get the expected value:

A+B = 24.26 + (-34.93) = -10.67 is the expected value.

On average, you expect to lose about $10.67 for any time you play the game.

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

Part (b)

0.125 is the probability of winning so 1-0.125 = 0.875 is the probability of losing.

Let's say you get really unlucky and lose 12 times in a row. Assuming each trial (aka case when you play the game) is independent, this would mean the probability of such an event is (0.875)^12 = 0.2014172, which is approximate.

Subtract that from 1 to get the probability of winning at least once

1 - (0.875)^12 = 1 - 0.2014172 = 0.7985828

which is also approximate. If we rounded to three decimal places, then it would be 0.799; I'm picking three decimals since 0.125 is to three decimal places. Round however you need to if otherwise.

Answer:

-60 60 30 -30 one of it is answer

Answer:

10*(2)^(n-1)

Step-by-step explanation:

The common ratio of the sequence is 20/10=40/20=2.

The first term is 10 so the equation is 10*(2)^(n-1)

Answer:

10(2)^n-1

Step-by-step explanation:

Correct on Odyssey

Step-by-step explanation:

40 won dividend 48 games

= 40/48 x 100

83.33% Win

Green Sox

27/45 x 100

60%

so Conclusion

The most Won Greatest Between Blue & Green are

Sox Have 83.33% Won

Answer:

78.5 %

Step-by-step explanation:

the probability = π(2)² / (4×4) ×100%

= 4π /16 × 100%

= π/4 ×100%

= (π×25)%

= 3.14 × 25 %

= 78.5 %

Answer:

It would be B. 16 centimeters^2

Step-by-step explanation:

Answer:

[tex]\frac{dh}{dt}=0.5ft[/tex]

Step-by-step explanation:

From the question we are told that:

Length [tex]l=12[/tex]

Top length [tex]l_t=3ft[/tex]

Height [tex]h=1ft[/tex]

Rate [tex]R=14 ft3/min[/tex]

Water rise [tex]w=4[/tex]

Generally the equation for Velocity is mathematically given by

[tex]V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)[/tex]

[tex]V=18h'^2[/tex]

Therefore

[tex]R=18(2h)(\frac{dh}{dt})[/tex]

Where

[tex]h=\frac{3}{4}[/tex]

Therefore

[tex]\frac{dh}{dt}=\frac{R}{18(2h)}[/tex]

[tex]\frac{dh}{dt}=\frac{14}{18(2.3/4)}[/tex]

[tex]\frac{dh}{dt}=0.5ft[/tex]

Answer:

y = 8x+11

Step-by-step explanation:

The coordination of the points are : (-5,-2) , (3, -1)

Then, the equation is :

[tex]\frac{y+5}{x+2} =\frac{-5-3}{-2+1} \\\\or,\frac{y+5}{x+2} = 8\\or, y+5=8(x+2)\\or, y = 8x+16-5\\y= 8x+11[/tex]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

[tex]X = \text{cost of wedding}\sim \text{Normal}\ (\mu = 28732, \sigma= 1500)\\\\[/tex]

For point a:

[tex]Probability\ = 0.00000359\\\\ \text{(Using Excel function:} =NORMDIST(22000,28732,1500,1)).[/tex]

For point b:

[tex]Probability \ = 0.014678\\\\\text{(Using Excel function:} =1-NORMDIST(32000,28732,1500,1))\\\\[/tex]

For point c:

[tex]Probability\ = 0.794614436 \\\\[/tex]

[tex]\text{(Using Excel function:} \\=NORMDIST (30000,28732,1500,1)-NORMDIST(25000,28732,1500,1))\\\\[/tex]

For point d:

[tex]Q_1 = 27720.26537 \\\\\text{(Using Excel function:} =NORMINV(0.25,28732,1500)) \\\\Q_3 = 29743.73463 \\\\\text{(Using Excel function:} =NORMINV(0.75,28732,1500)).[/tex]

For point e:

[tex]IQR = Q_3 - Q_1 = 29743.73463 - 27720.26537 = 2023.469251.[/tex]

For point f:

[tex]Top\ 10\% = 30654.32735 \\\\\text{(Using Excel function:} =NORMINV(0.9,28732,1500)).[/tex]

Answer:

The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Step-by-step explanation:

Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:

3 sizes

4 colors

4 x 3 = 12

4 midsize cars

3 red cars

1 medium red car

4 + 3 - 1 = 6

6/12 = 0.5

Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

*see attachment for diagram

Answer:

Perimeter = 38

Step-by-step explanation:

Recall: when two tangents are drawn to meet at a point outside a circle, the segments of the two tangents are congruent.

Given,

CQ = 5

PQ = 10

PR = 14

Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR

CQ = QB = 5 (tangents drawn from an external point)

BP = PQ - QB

BP = 10 - 5 = 5

BP = PA = 5 (tangents drawn from an external point)

AR = PR - PA

AR = 14 - 5 = 9

AR = RC = 9 (tangents drawn from an external point)

✔️Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR

= 9 + 5 + 5 + 5 + 5 + 9

Perimeter = 38

9514 1404 393

Answer:

Step-by-step explanation:

The domain is the horizontal extent of the graph. For a graph like this, we assume the ends extend to infinity, both horizontally and vertically. Then the horizontal extent (domain) is from -infinity to +infinity: all real numbers.

The graph does not go below y=0, so the vertical extent (range) is y ≥ 0.

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

Answer: For flour it is 360g

3 eggs

900ml of milk

Step-by-step explanation:

Answer:

First, find the amount of ingredient for one pancake:

Multiply that amount by 12 to find the amount needed for 12 pancakes:

Answer:

A reflection across the y axis and then a reflection across the x axis

Step-by-step explanation:

Answer:

An 180 degree counterclockwise rotation around the origin

Step-by-step explanation:

plato/edmuntum answer

Answer: the correct answer is D 0.05

Step-by-step explanation:

Answer:

0.02 m/s

Step-by-step explanation:

42/50 meters in 26/30 minutes,

26/30 minutes = 52 seconds

so in 1 second, 42/50 ÷ 52

= 42/50 × 1/52

= 21/1300

= 0.02 (approximately)

Answered by GAUTHMATH

Answer:

The p-value of the test is 0.053, which is more than the standard significance level of 0.05, and thus it cannot be concluded that the mean monthly rent in the city is less than $1000.

Step-by-step explanation:

A housing official in a certain city claims that the mean monthly rent for apartments in the city is less than $1000.

At the null hypothesis, we test if the mean is of at least $1000, that is:

[tex]H_0: \mu \geq 1000[/tex]

At the alternative hypothesis, we test if the mean is less than $1000, that is:

[tex]H_1: \mu < 1000[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

1000 is tested at the null hypothesis:

This means that [tex]\mu = 1000[/tex]

To verify this claim, a simple random sample of 47 renters in the city was taken, and the mean rent paid was $941 with a standard deviation of $245.

This means that [tex]n = 47, X = 941, s = 245[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{941 - 1000}{\frac{245}{\sqrt{47}}}[/tex]

[tex]t = -1.65[/tex]

P-value of the test and decision:

The p-value of the test is found using a left-tailed test(test if the mean is less than a value), with t = -1.65 and 47 - 1 = 46 df.

Using a t-distribution calculator, the p-value is of 0.053.

The p-value of the test is 0.053, which is more than the standard significance level of 0.05, and thus it cannot be concluded that the mean monthly rent in the city is less than $1000.

Answer:

Step-by-step explanation:

This is a geometric means problem where 60, the side common to both the triangles, is the geometric mean. Set it up like this:

[tex]\frac{36}{60}=\frac{60}{x}[/tex] and cross multiply to get

36x = 3600 so

x = 100

Answer:

b. 6280 cubic feet

Step-by-step explanation:

Volume:

The volume of the prism, which has a cylindrical base, with radius r and height h, is given by:

[tex]V = \pi r^2h[/tex]

Radius:

The radius is 20, so [tex]r = 20[/tex]

The manufacture  recommends that it be filled  to within 1 foot of the rim.

Height of 6 - 1 = 5, so [tex]h = 5[/tex]

Then

[tex]V = 3.14*(20)^2*5 = 6280[/tex]

So the volume is 6280 cubic feet, and the correct answer is given by option b.

Answer:

B. an infinite number

Step-by-step explanation:

Since point A lies outside of P, the number of lines that can be drawn parallel to P and passing through point A is only infinite. It is infinite because it is just one given point lying outside the plane. If there is more than one point then it will be otherwise.

Answer:

yeah

Step-by-step explanation:

9514 1404 393

Answer:

  (c)  -8, -6, -4, -2, ...

Step-by-step explanation:

An arithmetic sequence has sequential terms that have a common difference.

The first differences of the offered sequences are ...

  a) -4, 12, -36

  b) 6, -10, 14

  c) 2, 2, 2 . . . . . . constant, so an arithmetic sequence

  d) 2, 4, 8

__

The arithmetic sequence is -8, -6, -4, -2, ....

Answer: The answer is 0.182

Hope this help :)

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

Answer: hello your question is incomplete attached below is the complete question

answer:

a) Fx(X) = 0 ≤ x ≤ 2,    Fy(Y) = y - y^3/4

b) E(X) = 32/20 ,  E(Y) = 64/60

Step-by-step explanation:

a) Marginal probability density

Fx(X) = [tex]\int\limits^x_0 {\frac{xy}{2} } \, dy[/tex]

∴ probability density of X  = 0 ≤ x ≤ 2

Fy(Y) = [tex]\int\limits^2_y {\frac{xy}{2} } \, dx[/tex]

∴ probability density of Y = y - y^3/4

b) Determine the expected values of X and Y

E(X) = 32/20

E(Y) = 64 /60

attached below is the detailed solution

Answer:

2ab

Step-by-step explanation:

7ab+8ab+(-10ab)+(-3ab)=

=15ab-13ab= 2ab

Answer:

2ab

Step-by-step explanation:

7ab+8ab+-10ab+-3ab

Factor out ab

ab(7+8-10-3)

ab(2)

2ab

Answer:

Step-by-step explanation:

Answer:

y=2, x=4

Step-by-step explanation:

sin60=2sqrt3/x

so x = 2sqrt3/sin60

and x=4

for the value of y, use pythagorean theorem to get

16=y^2+12

which gives you y=2

Answer:

52.8 m. sq.

Step-by-step explanation:

2.6 x 1.5 + 1.5 (3) = 7.8 / 2 = 3.9 x 2 = 7.8 (Triangles)

3 x 5 = 15 x 2 = 30 (Side Rectangles)

5 x 1.5 + 1.5 (3) = 15

15 + 30 + 7.8 = 52.8 m. sq.

Hope this helps!

If something is wrong, please let me know.

Answer:

The null hypothesis is [tex]H_0: \mu = 444[/tex]

The alternative hypothesis is [tex]H_1: \mu < 444[/tex]

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting.

At the null hypothesis, we test if the machine works correctly, that is, the mean is of 444. So

[tex]H_0: \mu = 444[/tex]

At the alternative hypothesis, we test if they are underfilling, that is, if the mean is of less than 444. So

[tex]H_1: \mu < 444[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

444 is tested at the null hypothesis:

This means that [tex]\mu = 444[/tex]

A 41 bag sample had a mean of 440 grams with a variance of 441.

This means that [tex]n = 41, X = 440, s = \sqrt{441} = 21[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{440 - 444}{\frac{21}{\sqrt{41}}}[/tex]

[tex]t = -1.22[/tex]

P-value of the test:

Right-tailed test(test if the mean is less than a value), with 41 - 1 = 40 df and t = -1.22.

Using a t-distribution calculator, this p-value is of 0.1148

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.