A billionaire hires you to mow her lawn. For pay, she'll give you 1 penny for the firstjob and then double your pay each time you complete a job.
a. how much money should you expect to make on the thrid job?

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

To learn more about Central limit theorem visit: brainly.com/question/4086221

#SPJ4

Answer:

f(x) = -(x+2)(x-1)

Step-by-step explanation:

We know the zeros are at 1 and -2

f(x) = a *(x-b1)(x-b2)  where b1 and b2 are the zeros and a is a constant

f(x) =a(x-1)(x- -2)

f(x) =a(x-1)(x+2)

We know that a must be negative since the parabola opens down so

The only choice is choice D where a = -1

f(x) = -(x+2)(x-1)

Answer:

(-2,-9)

(-1,8)

(0,-5)

(1,0)

(2,7)

Step-by-step explanation:

Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

Learn more here:

https://brainly.com/question/14916934

#SPJ4

Answer:

y=(x-5)^2 - 6

Step-by-step explanation:

Subtracting the 5 to the x moves the parabola 5 units to the right. Putting the -6 at the end moves the parabola down 6 units.

Answer:

\(y=\left(x-5\right)^{2}-6\)

Step-by-step explanation:

I graphed the original parabola and the new parabola on the graph below. I moved the original parabola down 6 and right 5.

We do not have sufficient evidence to conclude that the promotion significantly increased the proportion of sales over $50.

Let's go through each part:

3a) The null hypothesis (H0) is that the promotion did not significantly increase the proportion of sales over $50. In other words, H0: p_new = 0.26.

3b) The sample proportion (p_hat) is the proportion of sales over $50 during the sale, which is 127/400 = 0.3175.

3c) The standard error (SE) can be calculated using the formula: SE = √[(p * (1-p))/n], where p is the proportion from the null hypothesis (0.26) and n is the sample size (400). So, SE = √[(0.26 * (1-0.26))/400] = 0.0223.

3d) The test statistic (z) is calculated using the formula: z = (p_hat - p) / SE. In this case, z = (0.3175 - 0.26) / 0.0223 = 2.58.

3e) To find the p-value, look up the z-score (2.58) in a standard normal distribution table. The p-value is approximately 0.01.

3f) Conclusions: Since the p-value (0.01) is less than the alpha level (0.05), we reject the null hypothesis. This means that there is evidence to suggest that the promotion significantly increased the proportion of sales over $50.

Learn more about sales here:

https://brainly.com/question/29857652

#SPJ11

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

To know more about expression here

https://brainly.com/question/14083225

#SPJ1

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Integer -17 represents Rudy's score for 2 weeks.

Rudy's scores:

Then, add 15 and -32 as follows:

Therefore, integer -17 represents Rudy's score for 2 weeks.

Know more about integers here:

https://brainly.com/question/17695139

#SPJ1

The declaration made indicates that Mabel left a $15.80 gratuity.

Percent, which is a relative number used to denote hundredths of any amount. Since one percent is equal to one tenth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage.

To find the amount of the tip that Mabel left, we can multiply the bill amount by the tip percentage, which is 20% or 0.2 in decimal form.

The amount of the tip is:

Tip = Bill Amount x Tip Percentage

Tip = $79 x 0.2

Tip = $15.80

Therefore, the tip that Mabel left was $15.80.

To know more about Percentage visit:

https://brainly.com/question/24877689

#SPJ1

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = \(\frac{600 * 3 * 1}{100}\)

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = \(\frac{618 * 2 * 1}{100}\)

             = #12.36

Amount = #630.36 at the end of the second year

The statement is false. The 8th derivative of the given function, f(x) = 3 sin(x) + 4, will not be a cosine function.

The derivative of a function measures the rate of change of that function with respect to its variable. In this case, taking the derivative of f(x) multiple times will result in a sequence of functions, each representing the rate of change of the previous function.

Since the given function contains a sine function, its derivatives will involve cosine functions. However, as the derivatives are taken repeatedly, the specific pattern of the cosine function will not be preserved. Instead, the derivatives will introduce additional factors and trigonometric functions, resulting in a more complex expression that may not resemble a simple cosine function.

Therefore, the 8th derivative of the function f(x) = 3 sin(x) + 4 will not be a cosine function.

Learn more about derivative here: brainly.com/question/25324584

#SPJ11

Answer:

You can find slope of line using the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the points and solve.

6-2/6-5

4/1

4

The slope of the line is 4.

Hope this helps! :)

Answer:

X = 18           Y= 30

Step-by-step explanation:

Since you have to do times two to X and Y.

Mark as brainliest plz

Answer: y=30 x=18

Step-by-step explanation:

16x2=32

so everything else must be multiplied by 2 bc the shape is 2 times bigger according to 16 and 32

15x2=30

so 30=y

9x2=18

so 18=x

Answer:

ABD=90

DBC=63

Step-by-step explanation:

set up the equation to find x:

abd+dbc=abc

(5x+5)+(3x+12)=153

calculate equation:

Step 1: Simplify both sides of the equation.

5x+5+3x+12=153

(5x+3x)+(5+12)=153(Combine Like Terms)

8x+17=153

8x+17=153

Step 2: Subtract 17 from both sides.

8x+17−17=153−17

8x=136

Step 3: Divide both sides by 8.

8x /8 =  136 /8

x=17

now we have x, plug it into both angle equations.

ABD=5x+5

5(17)+5=90

DBC=3x+12

3(17)+12=63

Answer:

The answer is A f(x)=-2x + 70

Step-by-step explanation:

False. In Python, as well as in many other programming languages, the index of the left-most character in a string s is actually 0, not 1. This means that the first character of a string can be accessed using the index 0, the second character using the index 1, and so on.

For example, if we have a string s = "Hello", then the left-most character "H" is at index 0, the second character "e" is at index 1, the third character "l" is at index 2, and so on. Therefore, the correct way to access the left-most character of a string s in Python would be s[0], not s[1*len(s)].

It is important to note that the convention of starting the index from 0 instead of 1 is not only used in Python, but in many other programming languages as well, such as C++, Java, and JavaScript. This convention is useful because it simplifies the calculation of indices and allows for consistent and predictable behavior when working with strings and other types of sequences.

Learn more about index  here:

https://brainly.com/question/30745513

#SPJ11

Step-by-step explanation:

hello : here is an solution

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

The IQR (interquartile range) of the data set expressed by this box plot is 22 units.

Each number of the data set pictured as a box plot is something the numbers have individually. The lowest number there (the first number), 38, is known as the minimum. The highest number there (the last number), 75, is known as the maximum. The second number there, 45, is known as the lower quartile. The third number there, 50, is known as the median or middle quartile. The fourth number, 67, is known as the higher quartile. In order to find the interquartile range, we need to find the difference between the lower quartile and higher quartile, which means subtracting.

67 (highest quartile)- 45 (lower quartile) = 22 (interquartile range)

Therefore, the IQR (interquartile range) of the data set expressed by this box plot is 22 units.

Read more about the interquartile range:

https://brainly.com/question/17083142

#SPJ4

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the lower right triangle.

tan25° = \(\frac{opposite}{adjacent}\) = \(\frac{h_{1} }{300}\) ( multiply both sides by 300 )

300 × tan25° = h₁ , then

h₁ ≈ 140 m ( to the nearest metre )

Using the tangent ratio in the outer right triangle

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{h_{1}+h_{2} }{300}\) ( multiply both sides by 300 )

300 × tan60° = h₁ + h₂ ≈ 520 m ( to the nearest metre )

Thus

h₁ + h₂ = 520

140 + h₂ = 520 ( subtract 140 from both sides )

h₂ = 380 m

In conclusion

h₁ = 140 m and h₂ = 380 m

There are 13 diamonds in the deck (as well as other colors). Since there are 52 cards, the probability of getting a diamond on the first draw is 13/52. After the first card is drawn, all that's left are his 12 diamonds. Therefore, the probability of drawing a diamond is 12/51 (note that he has only 51 cards left after pulling/removing the first card since there are no replacement cards). The overall probability is the product of two possibilities. The odds of drawing diamonds from the original deck are 13/52 times the odds of drawing diamonds from his remaining 51 cards. Assuming the first card drawn is a diamond, 12/51.

P=13/52*12/51=1/4*4/17=1/17.

More problems related to a similar concept are solved in the link below.

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

\(\\ \bull\tt\dashrightarrow a_{150}=a+149d\)

\(\\ \bull\tt\dashrightarrow 1.25+149(0.05)\)

\(\\ \bull\tt\dashrightarrow 1.25+7.45\)

\(\\ \bull\tt\dashrightarrow 8.70\)

\(\\ \bull\tt\dashrightarrow S_n=\dfrac{n}{2}[a+\ell]\)

\(\\ \bull\tt\dashrightarrow S_{150}=\dfrac{150}{2}[1.25+8.70]\)

\(\\ \bull\tt\dashrightarrow S_{150}=75(9.95)\)

\(\\ \bull\tt\dashrightarrow S_{150}=745.46\)

You will receive $746.46.

The expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

To calculate the expected number of cards that are next to another card of the same value in a shuffled standard deck, we can consider the probability of each card being next to another card of the same value.

Let's break down the calculation:

For each card in the deck, there are two adjacent cards (one on each side) that can potentially be of the same value. However, the first and last cards only have one adjacent card each.

For the inner cards (excluding the first and last cards), there are three possibilities for each card:

The card is of the same value as the card to its left and the card to its right.

The card is of the same value as the card to its left but not the card to its right.

The card is of the same value as the card to its right but not the card to its left.

Since each card value appears on four cards in the deck, the probabilities for each of these three possibilities are:

Probability of both adjacent cards having the same value = (3/51) × (3/51) = 9/2601

Probability of only the left adjacent card having the same value = (3/51) × (48/51) = 144/2601

Probability of only the right adjacent card having the same value = (48/51) × (3/51) = 144/2601

Now, let's calculate the expected number of cards next to another card of the same value:

Expected number = (1/52) + (1/52) + (50/52) × (9/2601 + 144/2601 + 144/2601) + (1/52) = 441/2601 ≈ 0.1698

Therefore, the expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ11

Answer:

216 and 64

Step-by-step explanation:

Answer:

1 ) Yes

2) No

perfect cubes are 216 and 64

³√64=4 } not have fraction so it's perfect cubes

³√216=6 } not have fraction so it's perfect cubes

Hope this helps

Answer:

15.5 °

Step-by-step explanation:

The highest temperature is -42.5° + 58°

-42.5° + 58° = 58° - 42.5° = 15.5 °

The probability that the entire system works is approximately 0.52, rounded off to the second decimal place.

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

Let A, B, and C represent the events that components A, B, and C work, respectively. Then, the probability that a component works is given as P(A) = P(B) = P(C) = p.

The probability that the entire system works is the probability that either A and B work and C does not, or A and C work and B does not. This can be expressed as:

P(system works) = P((A and B and C') or (A and B' and C))

Using the distributive property of probability, we can rewrite this as:

P(system works) = P(A and B and C') + P(A and B' and C)

Since the components work independently, we can apply the product rule of probability to each term:

P(system works) = P(A) * P(B) * (1 - P(C)) + P(A) * (1 - P(B)) * P(C)

Substituting P(A) = P(B) = P(C) = p, we get:

P(system works) = p² * (1 - p) + p * (1 - p)²

Simplifying this expression, we get:

P(system works) = p * (2p - 3p² + 1)

Substituting the given value of p, we get:

P(system works) = 0.8 * (20.8 - 30.8² + 1) ≈ 0.52

Therefore, the probability that the entire system works is approximately 0.52, rounded off to the second decimal place.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ1

The surface area of the cylinder is about 62.8 square centimeters.

Find the radius and height of the cylinder.

radius  =  2

height  =  3

Find the area of the circle on the top of the cylinder. Use 3.14 for ​.

\(A_{top}=\pi r^2\)

≈ \(3.14 * 2 * 2\)

≈  \(12.56\)

The circle on the bottom of the cylinder is the same, so:

\(A_{bottom} =A_{top}\) ≈ \(12.56\)

Find the circumference of the top circle.

\(C = 2\pi r\)

≈ \(2 * 3.14 * 2\)

≈  \(12.56\)

Now find the area of the curved surface. The curved surface is a rectangle. One side length is the height, and the other side length is the circumference of the circle.

\(A_{side} = C * h\)

≈ \(12.56*3\)

≈ \(37.68\)

Now add the areas to find the surface area of the cylinder.

\(Surface\) \(area=A_{top} +A_{bottom}+A_{side}\)

≈  \(12.56 + 12.56 + 37.68\)

≈ \(62.8\)

Therefore, The surface area of the cylinder is about 62.8 square centimeters.

Learn more about surface area of cylinders here:

https://brainly.com/question/30614762