Shipping company charge $15 to ship a package and 5% of the shipping charge for insurance on the package what was the total cost to ship this particular item

The mean number of tosses until we stop is 6 and the probability of stopping with HHT followed by a T before HH = 1/16.

(a) To find the mean number of tosses until you stop, we can use a recursive approach. Let E be the expected number of tosses until we stop. If the first toss is a head, then we must get another head in the next toss or stop with two heads. The expected number of tosses in this case is 2 (one for the first head and one for the second head). If the first toss is a tail, then we must get another tail in the next toss or stop with two tails. The expected number of tosses in this case is also 2. Therefore, we have:

E = 1 + 1/2(E) + 1/2(E)

Solving for E, we get E = 6, so the mean number of tosses until we stop is 6.

(b) To stop with two heads in a row, but see a second tail before a second head, we must have the following sequence of tosses: HHT. The probability of this sequence is

(1/2)(1/2)(1/2) = 1/8

The next toss must be a T, which has probability 1/2.

Therefore, the probability of stopping with HHT followed by a T before HH is (1/8)(1/2) = 1/16.

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Answer:

\((a)\ h(g) = -4 + g\)

g is the input

\((b)\ f(h) =h -7\)

h is the input

\((c)\ g(f) = 2f\)

f is the input

Step-by-step explanation:

Given

See attachment for functions and inputs

Required

Match the function with their inputs

The variables on the left-hand side or the variables inside the function bracket are the inputs of the function. e.g. x is the input of f(x)

Using the above description, we have:

\((a)\ h(g) = -4 + g\)

g is the input

\((b)\ f(h) =h -7\)

h is the input

\((c)\ g(f) = 2f\)

f is the input

Answer:

C. 7.2

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

The probability that the student owns 3 pets is 0.0272.

Poisson distribution is a type of probability distribution that is often used in the analysis of events that are rare. A Poisson distribution can be used to estimate the probability of a given number of events occurring in a fixed time or space when the average rate of occurrence is known.

The parameter of a Poisson distribution is the average rate of occurrence of the event in question. It is equal to the expected value and the variance of the distribution.The number of pets that a randomly selected student owns has a Poisson distribution with parameter 0.8.

Therefore,λ = 0.8.

The probability that the student owns 3 pets is given by;

P(X=3) = (λ³ * e^-λ) / 3!

P(X=3) = (0.8³ * e^-0.8) / 3!

P(X=3) = (0.512 * 0.4493) / 6

P(X=3) = 0.0272

Therefore, the probability that the student owns 3 pets is 0.0272.

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This figure has Line, Point and Rotational Symmetry.

If a figure can be rotated by an angle between 0° and 360° so that the image coincides with the preimage, it has rotational symmetry. The smallest angle for which the figure can be rotated to coincide with itself is the angle of rotational symmetry.

A line of symmetry is a line that divides two equal and symmetrical parts of a shape or object. This line is also known as the axis of symmetry or the mirror line because it divides the figure symmetrically and the divided parts appear to be mirror reflections of each other.

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The algebraic expression to find the cost of the gym membership for 6 months is given by 25+6×14.

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c. Any mathematical operation that involves variables, such as addition, subtraction, multiplication, or division, can have its solutions calculated using algebraic expressions. Monomial, binomial, and polynomial expressions are the three different categories of algebraic expressions.

Given, the cost of joining membership = $25

The cost of each month = $14

Cost of 6 months = 6 multiplied by 14

Cost of gym membership for 6 months = 25+6×14

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Answer:

C. 91.46

Step-by-step explanation:

Use BODMAS!

Answer:

C. 91.46

Step-by-step explanation:

Using Pemdas to solve:

5.9 (9 - 5) + 4^3 + 3.86

First you have to solve in the parenthesis

5.9 (9 - 5) + 4^3 + 3.86

= 4

New equation:

5.9 x 4 + 4^3 + 3.86

Now solve the exponent:

5.9 x 4 + 4^3 + 3.86

= 64

New equation:

5.9 x 4 + 64 + 3.86

Now we have to do multiplication:

5.9 x 4 + 64 + 3.86

= 23.6

New equation:

23.6 + 64 + 3.86

Now all you have to do is add all that together and you have your answer:

23.6 + 64 + 3.86

= 91.46

Hope this helps.

Answer:

9

Step-by-step explanation:

f=x=f=5+4=9

Answer:

A prime notation is the new image after a figure is moved. For each time a figure is fixed to a new spot, it gets another notation.

Step-by-step explanation:

Prime notations are represented like this.

Not moved ACBD,  Moved A'B'C'D', Moved again,   A''B''C''D'', and so forth.

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

The complete parametric equations for the line through the given points are: x(t) = 7 - 7t, y(t) = 1 + 2t, and z(t) = -6 + 11t

To find the parametric equations of the line through the points (7, 1, -6) and (0, 3, 5), we can use the following formula:

P(t) = P_0 + t(P_1 - P_0)

where P(t) is a point on the line, P_0 is the initial point (7, 1, -6), P_1 is the terminal point (0, 3, 5), and t is a parameter.

Substituting the given values, we get:

P(t) = (7, 1, -6) + t[(0, 3, 5) - (7, 1, -6)]

Simplifying, we get:

P(t) = (7, 1, -6) + t(-7, 2, 11)

Expanding the equation for P(t) in terms of x, y, and z, we get:

x(t) = 7 - 7t

y(t) = 1 + 2t

z(t) = -6 + 11t

Therefore, the complete parametric equations for the line through the given points are:

x(t) = 7 - 7t

y(t) = 1 + 2t

z(t) = -6 + 11t

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The important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x,y)=x4−2x2+y3−3y local maximum value(s) local minimum value(s) saddle point (5)(x,y)=

To determine the important aspects of the function f(x, y) = x^4 - 2x^2 + y^3 - 3y, we need to find the critical points and evaluate the second partial derivatives. Let's proceed with that:

Based on the analysis, the function f(x, y) = x^4 - 2x^2 + y^3 - 3y does not have any local maximum values, local minimum values, or saddle points.

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Answer:

associative property of addition.

In step 3:

1 + 19

20

Here we will add the integers, so division and multiplication eliminated.

Indicate which property is illustrated in step 3?

\( \rm \: Step \: 3 \asymp > 1 + 19\)

This property states that when performing addition, how numbers are grouped will not change the resulting sum...~

The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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We need to collect a sample of 34 observations to estimate the mean yield of the modified process within 1 ton with 95% confidence.

We can use the formula for the margin of error of a confidence interval:

Margin of error = z* (standard deviation / square root of sample size)

where z* is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence interval, z* = 1.96.

We want the margin of error to be no more than 1 ton. We know the standard deviation is 3 tons. We can rearrange the formula to solve for the sample size:

Sample size = (z* * standard deviation / margin of error) ^ 2

Plugging in the values, we get:

Sample size = (1.96 * 3 / 1) ^ 2 = 33.62

Rounding up to the nearest whole number, we get a sample size of 34.

Therefore, we need to collect a sample of 34 observations to estimate the mean yield of the modified process within 1 ton with 95% confidence.

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Answer:

B and D

Step-by-step explanation:

The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.

If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.

Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.

Answer:

b and d

Step-by-step explanation:

The integer would be -250, since it is a decrease.

Answer:

a) 39 meters

b) t = 1.8 seconds

Step-by-step explanation:

a)

To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):

h(0) = -9.8*0^2 - 5*0 + 39

h(0) = 39 meters

b)

To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:

0 = -9.8*t^2 - 5*t + 39

Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8

sqrt(Delta) = 39.418

t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)

t2 = (5 - 39.418)/(-2*9.8) = 1.756 s

Rounding to nearest tenth, we have t = 1.8 s

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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Answer:

(-2,4)

radius = 5

Step-by-step explanation:

Center is (-2,4) using the equation given

Radius is 5

To complete the joint PMF, we need to fill in the matrix with the appropriate probabilities. These probabilities can be determined using historical data, an experiment, or other statistical methods. Once the matrix is complete, we can analyze the joint distribution of calls and complaints received in a 5-minute period.  

The joint PMF, denoted as P(x, y), gives us the probability of observing a particular pair of values (x, y) for the random variables X and Y. Assuming X and Y are discrete random variables and have known probability distributions, we can calculate the joint PMF using the following formula:
P(x, y) = P(X = x, Y = y)
To construct the joint PMF table, we can list all possible values of X (number of calls) and Y (number of complaints) in a matrix. Each cell of the matrix will represent the probability of observing a specific combination of X and Y values. For example, if X can take on values 0 to 5 (representing 0 to 5 calls) and Y can take on values 0 to 2 (representing 0 to 2 complaints), we will have a 6x3 matrix. The element at the (i, j) position of the matrix will be P(X = i, Y = j).

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The approximate angle that the wire meet the ground is 56.4 degrees

The given set up result in a right triangle. A right triangle has one of its angles as 90degrees.

From the given diagram, we are to caculate the measure of beta. Using the SOH CAH TOA identity

sinβ = opposite/hypotenuse

sinβ = 10/12

sinβ = 0.8333

β = arcsin(0.8333)

β = 56.4 degrees

Hence the approximate angle that the wire meet the ground is 56.4 degrees

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