What percent chance is 1 out of 20?

Answer:

x-4y+12

Step-by-step explanation:

The numbers that are raised to an exponent are called bases, when the base is less than one, the function represents an exponential decay and when the base is more than one, the function represents an exponential growth.

a) In the function y = (1/2)^x, the base is 1/2, because this is the number that is raised to x, since 1/2 (0.5) is less than 1, this function represents an exponential decay.

b) In the function y=0.4*(1.1^x) the base is 1.1, because this is the number that is raised to x, since 1.1 is more than 1, this function represents an exponential growth.

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Recall the following:

Therefore:

Answer:

Simplifying the above equations we get:

Answer:

sorry i dont understand

Step-by-step explanation:

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

The population density in Nevada in 2012 was approximately 24.9 people per square mile.

In order to find the population density in Nevada in 2012, we need to know the land area of Nevada in square miles. Assuming the land area of Nevada in 2012 was 110,622 square miles, we can calculate the population density as follows:

First, we need to find the population of Nevada in 2012:

Population in 2012 = Population in 2005 + (Population in 2005 x % increase)

Population in 2012 = 2.432 million + (2.432 million x 0.132)

Population in 2012 = 2.754944 million (rounded to the nearest thousand)

Next, we can calculate the population density:

Population density = Population / Land area

Population density = 2.754944 million / 110,622 square miles

Population density ≈ 24.9 people per square mile

Therefore, the population density in Nevada in 2012 was approximately 24.9 people per square mile.

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By using the concept of bell shaped curve of normal distribution, it can be concluded that

The histogram would not look like a bell shaped curve because occurance of fire may not be constant in  all the case.

What is normal distribution?

Normal distribution is a continuous type probability distribution whose probability density function is given by

f(x) = \(\frac{1}{\sigma \sqrt{2\pi}}e^-{\frac{z^2}{2}\)

Where z = \(\frac{x - \mu}{\sigma}}\) where \(\mu\) is the mean and \(\sigma\) is the standard deviation

A fire department in a small town keeps track of the number of fires it has to fight each day for a year and records the 365 values central limit theorem.

Here, in this case it is not confident that the histogram would not look like a bell shaped curve because occurance of fire may not be constant in  all the case.

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Answer:

1

Step-by-step explanation:

listing the factors of both numbers

factors of 10 are 1, 2, ,5, 10

factors of 3 are 1, 3

the only common factor to both is 1

the greatest common factor is 1

Rounding to four decimal places, we get the probability that the weight will be less than 4664 grams as 0.9991.

Let X be the weight of a newborn baby boy born at the local hospital. We know that X follows a normal distribution with mean μ = 3996 grams and variance σ² = 111,556 grams².

We want to find the probability that the weight will be less than 4664 grams. That is, we need to find P(X < 4664).

To standardize X, we can use the z-score formula:

z = (X - μ) / σ

Substituting the given values, we get:

z = (4664 - 3996) / √111556

z = 3.1217

Using a standard normal table or calculator, we can find that the probability of a standard normal random variable being less than 3.1217 is approximately 0.9991.

Therefore, P(X < 4664) = P(Z < 3.1217) ≈ 0.9991.

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Answer:

19

Step-by-step explanation:

(a)  The probability of the with replacement is 3/80.

(b) The probability of the without replacement is 15/380.

Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys, frogs, lions, and birds on them all numbered 1 through 5 .

a) with replacement.

5/20 * 3/20 = 3/80.

b) without replacement.

5/20 3/19 = 15/380.

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Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

Answer:

Step-by-step explanation:

Given the dimension of the  homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;

Area of rectangle = Length * Width

Area of the rectangular backyard = 18yards * 16yards

Area of the rectangular backyard = 288yards²

If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²

The remaining area that will contain the tiles = Area of the rectangular backyard -  area of the pool

The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²

Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use. The area needed for the tiles for the rest of the backyard is therefore 263yd².

Amount of tiles needed to buy can be expressed as 263/dimension of a tile.

The probability of the first person having a birthday in any month is 1 (12/12). For the second person, to have a different birth month, the probability is 11/12. For the third person, it's 10/12, and so on. The smallest value of n for which the probability of at least two people sharing the same birth month is more than 0.5 is 5.

The probability that two people in a group of n people are born in the same month can be calculated using the formula:

1 - (12/12) * ((11/12)^(n-1))

This formula represents the probability of the first person being born in any of the 12 months (12/12), and the probability of the second person being born in a different month than the first (11/12). We raise this probability to the power of (n-1) because we are looking for the probability that none of the first n-1 people share a birth month, and then subtract this value from 1 to get the probability that at least two people share a birth month.

To find the smallest value of n for which this probability is more than .5, we can solve the equation:

1 - (12/12) * ((11/12)^(n-1)) > 0.5

Simplifying this equation gives:

(11/12)^(n-1) < 0.5/12

Taking the logarithm of both sides and solving for n gives:

n > log(0.5/12) / log(11/12) + 1

n > 17.43

Therefore, the smallest value of n for which the probability of at least two people sharing a birth month is more than .5 is n = 18.

To answer your question, we can use the concept of complementary probability. Instead of directly finding the probability of at least two people having the same birth month, we'll first find the probability of all people having different birth months and then subtract it from 1.

Let's consider n people. The probability of the first person having a birthday in any month is 1 (12/12). For the second person, to have a different birth month, the probability is 11/12. For the third person, it's 10/12, and so on.

So, the probability of all n people having different birth months is:
P(different) = (12/12) * (11/12) * (10/12) * ... * (12-n+1)/12

The probability of at least two people having the same birth month is:
P(at least two same) = 1 - P(different)

Now, we need to find the smallest value of n for which P(at least two same) > 0.5.

You can check different values of n starting from 1, but you will find that for n = 5:

P(different) ≈ 0.492
P(at least two same) ≈ 1 - 0.492 = 0.508

So, the smallest value of n for which the probability of at least two people sharing the same birth month is more than 0.5 is 5.

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Answer:

Step-by-step explanation:

Answer:

help i help you

Step-by-step explanation:

where are the ansewrs at

Answer:

3x^2 - 7x +4

Step-by-step explanation:

see step on the file joint

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

\(\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000\)

The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by  Y^ = b0 + b1X + b2X². Option C.

The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.

In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.

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Answer:

250

Step-by-step explanation:

A table that shows the length and width of at least 3 different rectangles is shown below.

All the rectangles have the same perimeter.

An equation to represent the relationship is x + y = 18.

The independent variable is length and the dependent variable is width.

A graph of the points is shown in the image below.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(x + y)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

36 = 2(x + y)

18 = x + y

Length       Width     Perimeter

10                   8              36

14                   4              36

15                   3              36

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Answer:

Yes, there is a transformation that maps shape I onto shape II. Rotating shape I 90° clockwise about the origin maps it onto shape II.

Step-by-step explanation:

Answer:

show the options

Step-by-step explanation:

Brainliest?

To determine the optimal order size for tomato sauce for Mama Rosa, we need to use the economic order quantity (EOQ) formula. This formula is given as:

Economic Order Quantity (EOQ) = sqrt(2DS/H)

Where: D = Annual demand

S = Cost per order

H = Holding cost per unit per year

Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.  For Mama Rosa's tomato sauce ordering:

D = 360*120

= 43,200 Cost per order,

S = $50 Holding cost per unit per year,

H = 20% of

$1 = $0.20 Substituting the values in the EOQ formula,

we get: EOQ = sqrt(2*43,200*50/0.20)

= sqrt(21,600,000)

= 4,647.98 Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.  

LT = Lead time

V = Variability of demand during lead time Lead time is given as 5 days and variability of demand is the standard deviation, which is given as 50 quarts.

To determine the reorder point, we Using the z-score table, the z-score for a 2% service level is 2.05. Substituting the values in the safety stock formula. use the formula: Reorder point = (Average daily usage during lead time x Lead time) + Safety stock Average daily usage during lead time is the mean, which is given as 120 quarts. Substituting the values in the reorder point formula, we get: Reorder point = 622.9 quarts Therefore, Mama Rosa should order tomato sauce when her stock level reaches 622.9 quarts.

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a. The radius for the first circle is r = 17cm

b. The radius for the second circle is r = 13.2cm

A. To find the radius of the circle, we say XY = 16cm and OM = 15cm

XM = 1/2XY

The length of half the chord (MX or MY) is 16cm / 2 = 8cm.

Thus, the triangle OMX is right triangle

OMX = 90°

Using Pythagoras Theorem

r² = OM² + MX²

r² = 15cm² + 8cm²

r² = 225cm² + 64cm²

r² = 289cm²

r = √289cm²

r = 17cm

B. We follow the same process XY = 11cm and OM = 12cm

The length of half the chord (MX or MY) is 11cm / 2 = 5.5cm.

r² = OM² + MX²

r² = 12cm² + 5.5cm²

r² = 144cm² + 30.25cm²

r² = 174.25cm²

r = √174.25cm²

r = 13.2cm

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Answer:

\(x=1\)

\(y=2\)

Step-by-step explanation:

\(y=x^2+3x-2\) , \(y+3=5x\)

Replace all occurrences of \(y\) in \(y+3=5x\) with \(x^2+3x-2.\)

\((x^2+3x-2)+3=5x\)

\(y=x^2+3x-2\)

Add \(-2\) and 3.

\(x^2+3x+1=5x\)

\(y=x^2+3x-2\)

Subtract 5x from both sides of the equation.

\(x^2+3x+1-5x=0\)

\(y=x^2+3x-2\)

Subtract 5x from 3x.

\(x^2-2x+1=0\)

\(y=x^2+3x-2\)

Rewrite 1 as \(1^2\).

\(x^2-2x+1^2=0\)

\(y=x^2+3x-2\)

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

\(2x=2\) · \(x\) · \(1\)

\(y=x^2+3x-2\)

Rewrite the polynomial.

\(x^2-2\) · \(x\) · \(1\) \(+\) \(1^2=0\)

\(y=x^2+3x-2\)

Factor using the perfect square

trinomial rule \(a^2-2ab+b^2=(a-b)^2,\)

where a = x and b = 1.

\((x-1)^2=0\)

\(y=x^2+3x-2\)

Set the \(x-1\) equal to 0.

\(x-1=0\)

\(y=x^2+3x-2\)

Add 1 to both sides of the equation.

\(x=1\)

\(y=x^2+3x-2\)

Replace all occurrences of \(x\) in

\(y=x^2+3x-2\) with 1.

\(y=(1)^2+3(1)-2\)

\(x=1\)

\(y=2\)

Answer:

your answer is A, C, B

Step-by-step explanation:

I did the assignment.

Answer:

the answer is:

Step-by-step explanation:

1. A

2. C

3. B

Given parametric surface r(u, v) = u² i + 2u sin v j + u cos v k; u=2,v=0. We are to find an equation of the tangent plane at the specified point.Solution We have the given parametric surface:r(u, v) = u² i + 2u sin v j + u cos v k; u=2,v=0We are to find an equation of the tangent plane to the given parametric surface at the specified point

(2, 0, 2).The equation of the tangent plane to the surface z = f(x, y) at the point (a, b, c) is given by:(z - c) = f1(a, b)(x - a) + f2(a, b)(y - b)where f1(a, b) and f2(a, b) are the partial derivatives of f(x, y) at (a, b).So, we need to calculate the partial derivatives of x, y, and z with respect to u and v.From the given parametric surface, we have:

x = u²

y = 2u sin

vz = u cos vDifferentiating x, y, and z partially with respect to u and v gives:

∂x/∂u = 2u∂y/

∂u = 2 sin v∂z/

∂u = cos v∂x/

∂v = 0∂y/

∂v = 2u cos v∂z/

∂v = -u sin vAt the point

(u, v) = (2, 0), we have∂x/

∂u = 4∂y/

∂u = 0∂z/

∂u = 1∂x/

∂v = 0∂y/

∂v = 2∂z/

∂v = 0Hence, the equation of the tangent plane to the given surface at the point (2, 0, 2) is given by:

(z - 2) = 4(x - 4) + 0(y - 0)

(z - 2) = 4x - 14

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