A 28-year-old man pays $225 for a one-year life insurance policy
with coverage of $12,715. If the probability that he will live
through the year is 0.993, what is the expected value for the
insurance

The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

To know more about functions visit-

brainly.com/question/2273042

#SPJ11

Answer:

No

If all 4 bags of flour are 35 pounds, then 4 bags would equate to 920 muffins, just below 1000.

A collection of subsets of a set X is said to partition X if every element of X belongs to exactly one of the subsets in the collection.

A partition of a set X is a collection of non-empty subsets of X.

Every element of X belongs to exactly one of the subsets.

In set notation, we can express this as follows,

Let X be a set, and let C = {A1, A2, ..., An} be a collection of subsets of X.

C is a partition of X if and only if,

The subsets are pairwise disjoint

⇒ Ai ∩ Aj = ∅ for all i ≠ j

The subsets cover the entire set X. Union is equal to X

⋃Ai = X  

In simpler terms,

A partition of a set X is a way of dividing X into non-overlapping subsets.

Such that every element of X belongs to exactly one of the subsets.

learn more about subsets here

brainly.com/question/24490838

#SPJ4

Mr. Wrench would charge $139 for a two-hour repair job for coming out to the house as N dollars and the charge per hour of work as x dollars.

Let's denote the charge for coming out to the house as N dollars and the charge per hour of work as x dollars. We are given the following information:

For a one-hour repair job, the total charge is $97.

For a five-hour repair job, the total charge is $265.

From this, we can set up two equations:

N + 1x = 97 (equation 1)

N + 5x = 265 (equation 2)

To find the charge for a two-hour repair job, we need to solve for N and x in the equations above and substitute the value of x into the equation for a two-hour repair job.

Subtracting equation 1 from equation 2, we get:

(5x - 1x) = (265 - 97)

4x = 168

x = 42

Now we can substitute the value of x into equation 1 to solve for N:

N + 1(42) = 97

N + 42 = 97

N = 97 - 42

N = 55

Therefore, the charge for a two-hour repair job is N + 2x:

55 + 2(42) = 55 + 84

= $139

To know more about charge,

https://brainly.com/question/5607678

#SPJ11

The solution of 1234 x 4321 using Karatsuba  multiplication is 5332114

Given,

1234 x 4321

We have to find the solution using Karatsuba  multiplication;

Karatsuba multiplication;

The first multiplication algorithm that was asymptotically quicker than the quadratic "grade school" technique was the Karatsuba algorithm. For sufficiently big n, the Schönhage-Strassen algorithm (1971) is even faster than the Toom-Cook algorithm (1963), which is a faster generalisation of Karatsuba's approach.

Here,

1234 x 4321

Lets see,

12      +      34       =      46

×                 ×                 ×

43     +      21       =       64

                                 2944 -

516    +   714      =      1230

                                 1714

Now,

516 × 100² + 714 + 1714 x 100 = 5332114

That is,

The solution of 1234 x 4321 using Karatsuba  multiplication is 5332114

Learn more about  multiplication here;

https://brainly.com/question/14803891

#SPJ4

Let S be the subspace of P3 consisting of all polynomials p(x) such that p(0) = 0 and let T be the subspace of all polynomials q(x) such that q(1) = 0.

a) The two vectors are linearly independent and span S which means {x, \(x^{2}\)} forms a basis for S.

b) The two vectors are linearly independent and span T which means \({(x -1),(x - 1)^2}\)forms a basis for T.

c) The vector is linearly independent and spans S∩T which means {x(x−1)} forms a basis for S ∩ T.

We have the information from the question:

Let S be the subspace of \(P_3\) consisting of all polynomials p(x).

We have:

p(0) = 0 and let T be the subspace of all polynomials q(x) such that q(1) = 0.

a) S is all polynomials of the form p(x) = \(ax^2 + bx\) where a, b are

real numbers.

p(0) = \(a(0)^2 + b(0)\) = 0 for all a, b.

I propose that {x, \(x^{2}\)} forms a basis for S.

We must show that:

The vectors x and \(x^{2}\) are linearly independent and span S.

To show they are linearly independent we must show that:

\(\alpha _1(x^2) + \alpha _2(x) = 0(x^2) + 0(x)\)

Only has the solution :

\(\alpha _1=\alpha _2=0\)

Upon grouping the terms we find:

\(\alpha _1=0\\\\\alpha _2=0\)

Thus the two vectors are clearly linearly independent.

Now to show that the two vectors span S we must show that any element

in S which I will represent by p(x) = ax^2 + bx can be written as:

\(\alpha _1(x^2) + \alpha _2(x) = ax^2 + bx\)

where, \(\alpha _1,\alpha _2\) are scalar  vectors.

Upon grouping the terms we find that:

\(\alpha _1=a\\\\\alpha _2=b\)

With this solution we have:

\(\alpha _1(x^2) + \alpha _2(x) = ax^2 + bx\)

which means the two vectors span S.

Thus, the two vectors are linearly independent and span S which means {x, \(x^{2}\)} forms a basis for S.

b)T is all polynomials of the form :

\(q(x) = a(x - 1)(bx + c) =abx^2 + acx - abx - ca = ab(x^2) + (ac - ab)x - ac\)where a, b, c are real numbers.

This is because q(1) = a(1 − 1)(b + c) = 0 for all a, b, c.

Let s = ab and t = ac.

Now we have that T is all polynomials of the form

\(q(x) = sx^2 + (t - s)x - t\)

\({(x - 1),(x - 1)^2}\)forms a basis for S.

In order to confirm this we must show that the vectors x − 1 and \((x - 1)^2\)are linearly independent and span S.

To show they are linearly independent we must show that:

\(\alpha _1((x -1)^2) + \alpha _2(x - 1) = 0(x - 1)(0(x) + 0)\)

only has the solution α1 = α2 = 0

Upon grouping the terms we find:

\(\alpha _1=0\\\\\alpha _2=0\)

Thus the two vectors are clearly linearly independent.

Now to show that the two vectors span T we must show that any element

in T which I will represent by \(q(x) = sx^2 + (t - s)x - t\) can be written as:

\(\alpha _1((x - 1)^2) + \alpha _2(x - 1) = sx^2 + (t - s)x - t\)

Where, \(\alpha _1,\alpha _2\) are scalars.

Upon grouping the terms we find that:

\(\alpha _1=s\\\\\alpha _2=s+t\)

With this solution we have:

\(sx^2 + (t - s)x - t = sx^2 + (t - s)x - t\)

which means the two vectors span T

Thus, the two vectors are linearly independent and span T which means \({(x -1),(x - 1)^2}\)forms a basis for T.

c)  S∩T is all polynomials of the form \(c(x) = a(x-1)(bx) = abx^2-abx\)

where a, b are real numbers.

This is because \(c(0) = a(0 - 1)^2\)

(b(0)) = 0 and

c(1) =\(a(1 - 1)^2\)

(b(1)) = 0 for all a, b.

Let ab = t

This means S∩T is all polynomials of the form \(c(x) = tx^2-tx = tx(x-1).\)

I propose that {x(x − 1)} forms a basis for S ∩ T.

Now, we must show that the vector x(x − 1) is linearly independent and spans S ∩ T.

To show it is linearly independent we must show that:

\(\alpha _1\)(x(x − 1)) = 0(x(x − 1))

only has the solution \(\alpha _1\) = 0.

Upon grouping the terms we find:

\(\alpha _1\) = 0

Thus the two vectors are clearly linearly independent.

Now to show that the vector spans S ∩ T we must show that any element

in S ∩ T which I will represent by c(x) = tx(x − 1) can be written as:

\(\alpha _1\)(x(x − 1)) = tx(x − 1).

where \(\alpha _1\) is a scalar.

Upon grouping the terms we find that:

\(\alpha _1\) = t

With this solution we have:

tx(x − 1) = tx(x − 1)

which means the vector spans S ∩ T.

Thus, the vector is linearly independent and spans S∩T which means {x(x−1)} forms a basis for S ∩ T.

Learn more about Polynomial at:

https://brainly.com/question/11536910

#SPJ4

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: \(8\) ÷ \(1\frac{3}{5}\)

Find common denominator and write the numerators above common denominator: \(\frac{8}{\frac{5}{5} +\frac{3}{5} }\)

Write the numerators over common denominator: \(\frac{8}{\frac{5+3}{3} }\)

Calculate the sum or difference: \(\frac{8}{\frac{8}{5} }\)

Divide a fraction by multiplying its reciprocal: 8 × \(\frac{5}{8}\)

Cross out the common factor: 5

get the result: 5  

Answer: 5

Answer:

it is A) 4.5ft2 is your answer

To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).

Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

The temperature at 6pm was of  -5.1ºF.

This problem can be solved by using system of equations.

A system of equations means when there are  two or more variables that are related, and equations are made to find the values of each variable of the problem.

It is given that at 9 am, the temperature was -12.3°F. Between 9am and the noon, the temperature rose 12°F. So, the temperature at noon was of -12.3 + 12 = -0.3ºF.

Also, between the noon and  3pm, the temperature went up 11.5°F. So, at 3 pm, the temperature was of -0.3 + 11.5 = 11.2 ºF.

Further, between 3pm and 6pm, the temperature dropped 16.3°F.So, the temperature at 6 pm was of 11.2 - 16.3 = -5.1 ºF.

Hence, the temperature at 6pm was -5.1°F

To know more about system of equations - https://brainly.com/question/24065247

#SPJ1

Answer:

depends on the grade level ._.

Step-by-step explanation:

cuz i only am good at 9-11th grade math T-T

Answer:

12/7 = 1 5/7

Step-by-step explanation:

divide 12 by 7 to get 1 with a remainder of 5 and take the denominator and put it under the remainder 5/7 the answer is 1 5/7

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

learn more about binomial here:

https://brainly.com/question/31049218

#SPJ4

Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

To know more about quantifiers check the below link:

https://brainly.com/question/13146953

#SPJ4

Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.

The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.

To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.

Using the multiplication principle, there are

8 x 8 x 8 x 8 = 4096

ways to choose the toppings. Similarly, there are

6 x 6 x 6 = 216

ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are

4096 x 216 x 6 = 53,248,

which means there are 53,248 ways to make the super subs.

For such more question on multiplication

https://brainly.com/question/29793687

#SPJ8

Answer

y= 3/2 x  - 2

Step-by-step explanation:

so you have to find the slope which would be

m =  

y2 - y1

x2 - x1

then you find you points that you are using (2, 1) and (0, -2)

when you plug it in it is

m=

-2-1

0-2

you simplify the numbers and get rid of the negatives to get m=3/2 x

then your y intercept is where your line meets the y axis or wherever x=0

so your y intercept is (0, -2) so the b = -2

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.

Answer:

Below

Step-by-step explanation:

6.5 x 10^-9   is the same as  65 x 10^-10    now you can add them together (since the exponents are the same ) to get

69.6 x 10 ^-10  which is   6.96 x 10^-9

The probability that you need to pick 7 students to find 2 students using Chrome is approximately 65%.

To calculate this, we can use the formula P = (n!/r!(n-r)!) * p^r * q^(n-r), where n = 7 (number of students to pick), r = 2 (number of Chrome users to find), p = 0.49 (probability of Chrome user), and q = 0.51 (probability of non-Chrome user). By plugging the numbers into the equation, the probability of finding 2 Chrome users is 0.649.

In other words, if you randomly pick 7 students from the group, there is a 65% chance that you will find 2 students using Chrome.

This is because 49% of the group use Chrome, so if you pick 7 students randomly, the probability of picking 2 Chrome users is high.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

The absolute maximum value is log2 6 and the absolute minimum value is 0.

To find the absolute maximum and absolute minimum values of f(x) = log2 (2x2+2), -1≤x≤1, we need to find the critical points and endpoints of the function.

First, we find the derivative of f(x) using the chain rule:

f'(x) = (1/ln2)(1/(2x2+2))(4x)

Setting f'(x) = 0 to find the critical points, we get:

1/(2x2+2) = 0
2x2+2 = ∞
x = ±1

Checking the endpoints, we get:

f(-1) = log2 (2(-1)2+2) = log2 4 = 2
f(1) = log2 (2(1)2+2) = log2 6

Now, we can compare the function values at the critical points and endpoints to find the absolute maximum and absolute minimum values:

f(-1) = 2
f(1) = log2 6
f(±1) = 0

Know more about maximum value here:

https://brainly.com/question/14316282

#SPJ11

Answer:50 cents. $5

Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.

Answer:

Button #4. The last button. 8p = t.

Step-by-step explanation:

This is because there are 8 pieces of string, and p is equal to the length of one string, so one string times 8 is the total length of all the strings.

Answer:

7x=28

Step-by-step explanation:

Answer:

27y + 18z

Step-by-step explanation:

9(3y+2z)

Distribute the 9

9 * 3y + 9* 2z

27y + 18z

Answer:

\(a_n=a_{n-1}+11\)

Step-by-step explanation:

From inspection of the sequence of numbers, we can see that each term is the previous term plus 11.

10 + 11 = 21

21 + 11 = 32

32 + 11 = 43

etc.

\(a_n\) is the term

\(a_{n-1}\) is the previous term

Therefore,

\(a_n=a_{n-1}+11\)

x + 3 = 8

OR

4x - 4 = 16

hope this helps!

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.