Answer the following question in 3 complete sentences!


Would you rather have $1,000,000 or start with a penny and double your money every day for 30 days? Why?

To find the probability of certain outcomes in coin tosses, we can use the binomial probability formula.

In the first scenario, where a fair coin is tossed 25 times and we want to calculate the probability of at most 24 heads occurring, the correct answer is option (c) 0.00000077. In the second scenario, where a fair coin is tossed 26 times and we want to calculate the probability of at least 3 heads occurring, the correct answer is option (a) 0.999994770.

In the first scenario, we use the binomial probability formula P(X ≤ k) = ∑(i=0 to k) (nCi) * p^i * q^(n-i), where n is the number of trials, k is the desired outcome, p is the probability of success (getting heads), q is the probability of failure (getting tails), and nCi represents the binomial coefficient.

For at most 24 heads, we calculate P(X ≤ 24) by summing the probabilities of getting 0, 1, 2, ..., 24 heads. Since it is a fair coin toss, p = 0.5 and q = 1 - p = 0.5. Plugging in the values, we find that the correct answer is option (c) 0.00000077.

In the second scenario, we use the complement rule to find the probability of at least 3 heads. P(X ≥ 3) = 1 - P(X < 3), where P(X < 3) is the probability of getting 0, 1, or 2 heads. Again, since it is a fair coin toss, p = 0.5 and q = 1 - p = 0.5. Plugging in the values, we find that the correct answer is option (a) 0.999994770.

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Answer:

-10x-7y hope this helps yous.

Answer:Real answer is c have a good day

Step-by-step explanation:

Got it right

As x approaches 0, all terms involving x^3, x^4, x^5, and higher powers tend to zero. Thus, the limit simplifies to: lim(x→0) [0] / (0)

The limit of (sin(3x) - 3x) / (9x^2 + 2x^3 + 5x^5) as x approaches 0 can be evaluated using series expansion.

By applying the Maclaurin series expansion for sin(x), we have:

sin(x) = x - (x^3 / 3!) + (x^5 / 5!) - (x^7 / 7!) + ...

Therefore, we can rewrite the given expression as:

lim(x→0) [(3x - (3x^3 / 3!) + (3x^5 / 5!) - ...) - 3x] / (9x^2 + 2x^3 + 5x^5)

Simplifying, we get:

lim(x→0) [(3x - (x^3 / 2!) + (x^5 / 4!) - ...) - 3x] / (9x^2 + 2x^3 + 5x^5)

Canceling out the common factors of x, we obtain:

lim(x→0) [- (x^3 / 2!) + (x^5 / 4!) - ...] / (9x^2 + 2x^3 + 5x^5)

As x approaches 0, all terms involving x^3, x^4, x^5, and higher powers tend to zero. Thus, the limit simplifies to:

lim(x→0) [0] / (0)

Since the numerator approaches 0 and the denominator approaches 0, we have an indeterminate form of 0/0. Further analysis is required to evaluate this limit.

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The length of the segment AB is 3.5 cm  

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

We have segments ratio as shown:

BC/AB = CD/ED

=> (AC - AB)/AB = (EC - ED)/ED

=> (14-AB)/AB = (84-21)/21 = 3

    Let AB=x

=>  (14-x)/x = 3

=> 14-x = 3x

=> 14 = 3x+x = 4x

=> 14/4 = x

=> x=3.5 cm

AB=x = 3.5 cm  

The length of the segment AB is 3.5 cm  

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The presented statement states that a square pyramid has a surface area of 340 cm².

For instance, we may calculate the area of a rectangle by multiplying its length by its width. The area of the rectangle seen above is 24 or 8. There are eight little squares in all if you count them.

The following formula may be used to determine a square pyramid's surface area:

(Base Area) + Surface Area (Area of 4 triangular faces)

The base area of the pyramid would have been 10 cm x 10 cm, or 100 cm2, as the pyramid's base is a squares with a diameter of ten centimeters.

Each triangle face's area may be calculated using the formula for

Area = (1/2)bh

where b denotes the bottom and h the top.

The area of each triangle face will be (1/2) x 10 cm x 12 cm = 60 cm², given that the pyramid's height is 12 cm.

As a result, the pyramid's total surface area would be as follows: 100 cm² + (4 x 60 cm²) = 100 cm² + 240 cm² = 340 cm².

So, the correct response is B) 340 cm².

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The Net Capital Expenditure (NCS) for the project is -$428,500.

The Net Capital Expenditure (NCS) for the project can be calculated as follows:

NCS = Initial Cost of Expansion - Increase in Annual Sales + Increase in Annual Expenses

NCS = -$400,000 - $70,000 + $41,500

NCS = -$428,500

Therefore, the Net Capital Expenditure (NCS) for the project is approximately -$428,500.

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We can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).

So, we know that the equation is:

Now, calculate the equation when x = 2.

Now, we can conclude that:

Therefore, we can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).

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The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.

Given that,

That by increasing the sample size, the amount of sampling error will be decreased

Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.

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The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.

Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab

Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.

The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.

So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.

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Step-by-step explanation:

do 1/2 x 4/2 x 3/2 = your answer :)

Expression as a fraction of 0.7 cm³ for 117 mm³ is given by the fraction 0.117 / 0.7.

To write 117 mm³ as a fraction of 0.7 cm³,

we need to convert the units so they match.

Since there are 10 millimeters in a centimeter

1 cm = 10 mm

This implies,

1 cm³ = (10 mm)³

         = 1000 mm³

Now we can express 117 mm³ as a fraction of 0.7 cm³:

117 mm³ / 0.7 cm³

To convert mm³ to cm³, we divide by 1000,

117 mm³ / 1000 = 0.117 cm³

Now we can express it as a fraction,

0.117 cm³ / 0.7 cm³

Simplifying the fraction, we divide the numerator and the denominator by 0.117,

= (0.117 cm³ / 0.117 cm³) / (0.7 cm³ / 0.117 cm³)

= 1 / (0.7 / 0.117)

To divide by a fraction, we multiply by its reciprocal:

= 1 × (0.117 / 0.7)

= 0.117 / 0.7

Therefore, 117 mm³ is equal to the fraction 0.117 / 0.7 when expressed as a fraction of 0.7 cm³.

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The future receipt is discounted at an interest rate of 12% and its present value is $210,018 in 7 years is the $520,000 received.

The formula for calculating present value is:

PV = FV / (1 + r)^n

Where:

PV = Present Value

FV = Future Value

r = Interest Rate

n = Number of years

Rearranging the formula to solve for 'n' (number of years):

n = log(FV / PV) / log(1 + r)

Plugging in the given values:

PV = $210,018

FV = $520,000

r = 12% or 0.12

n = log(520,000 / 210,018) / log(1 + 0.12)

Using a calculator, we can find the approximate value of 'n':

n ≈ 7.2 years

Therefore, in approximately 7.2 years, the $520,000 will be received. Rounding to the nearest whole number, the answer is (c) 7 years.

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Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

(a) between 11. 9 and 22. 3 gallons 95.44 % (b) more than 19. 7 gallons 15.87 % (c) less than 11. 9 gallons 2.28 % (d) between 11. 9 and 19. 7 gallons 81.85 %

(a) Between 11.9 and 22.3 gallons.z1 = (11.9 - 17.1) / 2.6 = -2.00z2 = (22.3 - 17.1) / 2.6 = 2.00

Looking at the z-score table we see that the area to the left of -2.00 is 0.0228 and the area to the left of 2.00 is 0.9772. So, the percentage of showers between 11.9 and 22.3 gallons is;

P(11.9 < X < 22.3) = P(z1 < z < z2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Therefore, the percentage of showers that are used between 11.9 and 22.3 gallons is 95.44%.

(b) More than 19.7 gallons.z = (19.7 - 17.1) / 2.6 = 1.00

Looking at the z-score table we see that the area to the left of 1.00 is 0.8413. So, the percentage of showers that used more than 19.7 gallons is;

P(X > 19.7) = P(z > 1) = 1 - P(z < 1) = 1 - 0.8413 = 0.1587

Therefore, the percentage of showers that used more than 19.7 gallons is 15.87%.

(c) Less than 11.9 gallons.z = (11.9 - 17.1) / 2.6 = -2.00

Looking at the z-score table we see that the area to the left of -2.00 is 0.0228. So, the percentage of showers that used less than 11.9 gallons is;

P(X < 11.9) = P(z < -2) = 0.0228

Therefore, the percentage of showers that used less than 11.9 gallons is 2.28%.

(d) Between 11.9 and 19.7 gallons.

z1 = (11.9 - 17.1) / 2.6 = -2.00z2 = (19.7 - 17.1) / 2.6 = 1.00

Looking at the z-score table we see that the area to the left of -2.00 is 0.0228 and the area to the left of 1.00 is 0.8413. So, the percentage of showers between 11.9 and 19.7 gallons is;

P(11.9 < X < 19.7) = P(z1 < z < z2) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185

Therefore, the percentage of showers that are used between 11.9 and 19.7 gallons is 81.85%.

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Answer:

yes of course it was a question about the same as you can use it for a while now I am with you forever

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

Answer:

slope is -2

Step-by-step explanation:

Answer:

D) x  = 13/7

Each platter will have 2 loaves.

Step-by-step explanation:

13 by 7 = 1.857...

Estimate 1.857 = 2

Hope it helps!

d.) x = 13÷ 7

Each platter will have 1.857142857 or 1 6/7 loaves.

• In the problem, it states that, "Mr. Walker must equally divide 13 loaves of bread between seven platters." Which means 13 ÷ 7.

x = 13 ÷ 7

x = 1.857142857

x = 1 6/7

If I helped, please mark me the Brainliest!?!

Answer:

linear pair: a pair of angles that equal 180 and make a line

complementary angles: 2 angles that equal 90 degrees

vertical angles: angles that are vertical from each other that equal the same sum

supplementary angles: 2 angles that equal 180 degrees

Step-by-step explanation:

ima sophomore did this a long time ago.

For x ≥ 0, the value h(k(x)) is not equal to the value of k(h(x))

For x≥ 0, since h(k(x)) ≠ k(h(x)), then the functions h and k are not inverse function

Given the following functions

h(x) = 5x^2 - 1

k(x) = √5x + 1

Determine the composite function h(k(x))

h(k(x)) = h(√5x +1)

h(k(x)) = 5(√5x +1)^2 - 1

h(k(x)) = 5(5x+1)-1
h(k(x)) = 25x + 5 -1

h(k(x) = 25x+4

Similarly for the function k(h(x))

k(h(x)) = k(5x^2-1)

k(h(x)) = √5(5x^2-1)^2+1
Hence we can conclude that for x ≥ 0, the value h(k(x)) is not equal to the value of k(h(x))

For x≥ 0, since h(k(x)) ≠ k(h(x)), then the functions h and k are not inverse function

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The set Q of all 2x2 symmetric matrices is a vector space as Q satisfies all the properties of a vector space, and is thus a vector space.

To verify that Q is a vector space, we need to check that it satisfies the following properties:

Therefore, Q satisfies all the properties of a vector space and is thus a vector space.

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Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)

Answer: cost to buy 7.4 pounds of avocados from this store=$17.39

Step-by-step explanation:

Sale of avocados   per pound in the grocery= $2.35  

Sale of 7.4 pounds of avocados=  $2.35  x 7.4 pounds =$17.39

Therefore, the cost to buy 7.4 pounds of avocados from this store=$17.39

since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

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This is the answer through graphs.

Answer: Subtraction Property

Step-by-step explanation:

For all real numbers x, y and z  

if x = y

then x − z = y − z

please give me a brainliest answer

To express the given system of differential equation as an almost linear system, we need to find the partial derivatives of the given functions with respect to x and y.

∂f/∂x = -ex
∂f/∂y = 2
∂g/∂x = -1
∂g/∂y = -4cosy

Now, substituting these values in the general form of an almost linear system,

x′(t) = ax + by + r(x,y)
y′(t) = cx + dy + s(x,y)

we get,

x′(t) = -ex + 2y
y′(t) = -x - 4cosy

So,

a = -e, b = 2, c = -1, d = 0

At the critical point (0,0), the Jacobian matrix is

J(0,0) = ⎡⎣⎢⎢⎢-1 2⎤⎦⎥⎥⎥

The eigenvalues of this matrix can be found by solving the characteristic equation,

det(J - λI) = 0

where I is the identity matrix of the same size as J.

det ⎡⎣⎢⎢⎢-1-λ 2⎤⎦⎥⎥⎥ = (-1-λ)(-λ) - 2(2) = λ^2 + λ - 4

Using the quadratic formula, we get the eigenvalues as

λ1 = (-1 + sqrt(17))/2 ≈ 0.56
λ2 = (-1 - sqrt(17))/2 ≈ -2.56

Since the eigenvalues have opposite signs, the critical point is a saddle.

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Answer:

I'm so sorry I can't help

Answer:

a

Step-by-step explanation:

Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

The probabilities for AUB, A© , and B of two events A and B are 0.65,0.35, 0.55

a) To find the probability of the union of two events A and B, we use the formula P(AUB) = P(A) + P(B) - P(A∩B). We are given P(A) and P(A∩B), but we need to find P(B) first. We know that P(BC) = 0.45, which means that P(B) = 1 - P(BC) = 1 - 0.45 = 0.55. Now we can plug in the values to get P(AUB) = 0.35 + 0.55 - 0.25 = 0.65.

b) To find the probability of the intersection of two events A and B, we use the symbol © (which means "and" or "intersection"). We are asked to find P(A©), which is the same as P(A). We are given that P(A∩B) = 0.25, but we can't use that to find P(A) directly. Instead, we use the fact that P(AUB) = P(A) + P(B) - P(A∩B) = 0.65. We already found P(AUB) in part (a), so we can rearrange the formula to solve for P(A): P(A) = P(AUB) - P(B) + P(A∩B) = 0.65 - 0.55 + 0.25 = 0.35. Therefore, P(A©) = P(A) = 0.35.

c) We already found P(B) in part (a): P(B) = 0.55.

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