what is 4(2 + a) = 24?

It is the last choice

\(9x+12y\geq 1000\)

Hope that helps!

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

$300 is expected to be paid to the insurance company each month for coverage.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.

here, we have,

Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.

So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.

Hence, $300 is the correct answer.

To learn more on insurance click:

https://brainly.com/question/11596852

#SPJ1

Answer: 279.94

Step-by-step explanation:

Expected value =

(0.0002)(-100,000) + (0.9998) (300)

1-.0002 = 0.9998

= .279.94

We would expect the size of the population to increase by 12 individuals.

Here are the terms we'll be using:
- Initial population size: 100 individuals
- Per capita birth rate: 0.25
- Per capita death rate: 0.13
To find the expected increase in population size, follow these steps:
Calculate the net per capita growth rate by subtracting the per capita death rate from the per capita birth rate:
Net per capita growth rate = Per capita birth rate - Per capita death rate
Net per capita growth rate = 0.25 - 0.13
Net per capita growth rate = 0.12.

Multiply the net per capita growth rate by the initial population size to find the expected increase in the number of individuals:
Expected increase = Net per capita growth rate × Initial population size
Expected increase = 0.12 × 100
Expected increase = 12 individuals.

For similar question on population.

https://brainly.com/question/30732250

#SPJ11

Answer:

2,472 / 2 = 1,236

Answer:

B

Step-by-step explanation:

The answer is B as this is a simple ration question.

All you need to do is convert the question into ration fraction form:

24/60 =x/1990

x is the number of people whose favourite ice-cream is chocolate.

Do cross multiply on both sides and you will get 47760=60x.

x= 796.

Thus, you get your answer.

The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

To learn more about Quadratic equations : https://brainly.com/question/28440540

a. = 1 + (L/K)^(1/2)

b. The conditional demand of K is K = L * (w - 1)^2, and the conditional demand of L is L = K * (r - 1)^2.

c. Cost = wKr^2 - 2wKr + wK + rw^2L - 2rL + L

d. CMe = Cost / Y = (4K + 3L) / ((L^(1/2) + K^(1/2))^2)

a) To find the marginal product of labor (PMgL) and the marginal product of capital (PMgK), we need to take partial derivatives of the production function with respect to labor (L) and capital (K), respectively.

PMgL = ∂Y/∂L

= 2(L^(1/2) + K^(1/2)) * (1/2) * L^(-1/2)

= (L^(1/2) + K^(1/2)) / L^(1/2)

= 1 + (K/L)^(1/2)

PMgK = ∂Y/∂K

= 2(L^(1/2) + K^(1/2)) * (1/2) * K^(-1/2)

= (L^(1/2) + K^(1/2)) / K^(1/2)

= 1 + (L/K)^(1/2)

b) To find the conditional demands of K and L, we set the marginal products equal to their respective prices.

PMgL = w

1 + (K/L)^(1/2) = w

(K/L)^(1/2) = w - 1

(K/L) = (w - 1)^2

PMgK = r

1 + (L/K)^(1/2) = r

(L/K)^(1/2) = r - 1

(L/K) = (r - 1)^2

The conditional demand of K is K = L * (w - 1)^2, and the conditional demand of L is L = K * (r - 1)^2.

c) The minimum cost expression is obtained by substituting the conditional demands of K and L into the cost function.

Cost = wL + rK

Cost = w(K * (r - 1)^2) + rL * (w - 1)^2

Cost = wKr^2 - 2wKr + wK + rw^2L - 2rL + L

d) If w = 2 and r = 1, we can substitute these values into the minimum cost function.

Minimum Cost Function:

Cost = 2K - 2K + 2K + 4L - 2L + L

Cost = 4K + 3L

To find CMg (the marginal cost) and CMe (the average cost), we take the partial derivatives of the minimum cost function with respect to K and L.

CMg = ∂Cost/∂K = 4

CMe = Cost / Y = (4K + 3L) / ((L^(1/2) + K^(1/2))^2)

Learn more about   cost from

https://brainly.com/question/25109150

#SPJ11

The possible values of x be  4.8, 5.6 and 6.4.

The statement of equality between two expressions consisting of variables and/or numbers.

Given:

5x -4y = 24

when y=0

5x = 24

x = 4.8

when y=1,

5x= 28

x= 5.6

when y=2,

5x= 32

x= 6.4

Hence, the possible values of x is 4.8, 5.6 and 6.4.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

Know more about coordinates here:

https://brainly.com/question/29362355

#SPJ1

Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

To learn more about generalize visit:

https://brainly.com/question/10736907

#SPJ11

The goal is to determine whether or not the following binary operations are closed.

A. Subtraction of positive integers: Under normal substation operation, a set of positive integers is not near. Since 1∈Ζ⁺ and 2∈Ζ⁺ but (2-1) = ₋1∉Z⁺.

B. A division of nonzero integers: Non-zero integer set Z/{0} is not closed under the operation. Since 1∈Z/{0} and 2∈ Z/{0} but 1/2 ∉ Z/{0}.

C.  Function composition of polynomials with real coefficients: The set of polynomials with real coefficients is closed when using the typical binary operator. Use the obvious conclusion that a polynomial is a combination of two polynomials \(f(x)\) and \(g(x)\). Since every polynomial coefficient is real, every polynomial's composition will also have real coefficients.

D. The multiplication of 2×2 matrices with integer entries: Under the action of standard matrix multiplication Μ₂ₓ₂ (Z), the collection of matrices with integer elements, is close.

Learn more about Binary operation

https://brainly.ph/question/22621607

#SPJ4

Answer:

40

Step-by-step explanation:

Answer:

A) y = 3x + 2 y = -2x + 5

Step-by-step explanation:

We can rule out options B and D right away, because one of the lines' y-intercept is positive 2 not negative.

(Remember that y-intercept is the b in y=mx+b).

So at this point we know the answer is either A or C.

We can also rule out C though, because the second line's y-intercept is positive 5, while the second line in option C is negative.

You can also use the slope of each line to double check.

Hope this helps :)

Also please mark me brainliest, I'm almost there to the next rank.

Answer:

144cm2

Step-by-step explanation:

Answer:

( 3 , 0 )

Step-by-step explanation:

When the reflection is over the y-axis , the y-coordinate is the same

and x-coordinate changes its Sign

So for ( -3 , 0) is reflected over y-axis

Then x-coordinate = 3

Then y-coordinate =0

So the new point = ( 3 , 0 )

The Australia to Britain, decreasing the interest rate in Britain and increasing the interest rate in Australia.

The equilibrium real interest rate is the short-term rate that is consistent with aggregate production at potential and stable inflation in the long run.

We have:

The equilibrium real interest rate in Britain increases to 8 percent, while the equilibrium real interest rate in Australia remains at 4 percent.

From the above data, we can say,

Australia to Britain, decreasing the interest rate in Britain and increasing the interest rate in Australia.

Thus, the Australia to Britain, decreasing the interest rate in Britain and increasing the interest rate in Australia.

Learn more about the equilibrium real interest here:

https://brainly.com/question/22682672

#SPJ4

Answer:

Here we have 6 cars.

And we know that there are 4 people in each car.

The question is incomplete, I assume that we want to find the total number of people in the 6 cars.

So, again, there are 6 cars, and 4 people in each one.

Then we have 6 times 4 people.

This is equal to the product between 6 and 4, which is:

6*4 = 24

There is a total of 24 people in the 6 cars.

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

Know more about Prime numbers here :

https://brainly.com/question/145452

#SPJ11

In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

To know more about Angle related question visit:

https://brainly.com/question/31818999

#SPJ11

The number of calls needed to ensure that there is a probability of at least 0.83 of obtaining eight or more successful calls is 210.

In the question, we are given that a telephone call center where people place marketing calls to customers has a probability of success of 0.05. We are asked to find the number of calls needed to ensure that there is a probability of at least 0.83 of obtaining eight or more successful calls.

We take the given case as a binomial probability distribution, with probability of success, p = 0.05, and the probability of failure, q = 1 - p = 1 - 0.05 = 0.95.

The x-value to check is, x = 8.

We know that the probability distribution of x successful trials in n number of trials with a probability of success of one trial as p is given using binomial distribution as:

P(X = x) = nCx.pˣ.qⁿ⁻ˣ.

Substituting the values, we get:

P(X = 8) = nC8.(0.05)⁸(0.95)ⁿ⁻⁸.

But we are given that the probability of 8 successful trials is 0.83.

Thus, we can show this as:

nC8.(0.05)⁸(0.95)ⁿ⁻⁸ = 0.83,

or, n!/{ 8! (n - 8)! } (0.95)ⁿ = 0.83 * (0.95/0.05)⁸ = 14096357324.03,

which on solving gives us n = 210.

Thus, the number of calls needed to ensure that there is a probability of at least 0.83 of obtaining eight or more successful calls is 210.

Learn more about binomial probability at

https://brainly.com/question/24756209

#SPJ4

The provided question is incomplete. The complete question is:

"A telephone call center where people place marketing calls to customers has a probability of success of 0.05. Find the number of calls needed to ensure that there is a probability of at least 0.83 of obtaining eight or more successful calls."

Answer:

a. With replacement

1/2197

b. Without replacement

1/5,525

Step-by-step explanation:

Okay, here is a probability question.

The key to answering this question is by knowing the number of aces in a deck of cards.

There is 1 ace per suit, so there is a total of 4 aces per deck of cards.

So, mathematically the probability of picking an ace would be;

number of aces/ total number of cards = 4/52 = 1/13

a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.

So the probability of picking three aces with replacement would be;

1/13 * 1/13 * 1/13 = 1/2197

b. Without replacement

what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.

For the first card picked, we will be having a total of 4 aces and 52 total cards.

So the probability of picking an ace would be 4/52 = 1/13

For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards

So the probability will be 3/51 = 1/17

For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.

So the probability now becomes 2/50 = 1/25

Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;

1/13 * 1/17 * 1/25 = 1/5,525

Using the binomial and the hypergeometric distribution, it is found that the probabilities are:

a) 0.0005 = 0.05%.

b) 0.0002 = 0.02%.

Item a:

With replacement, hence the trials are independent, and the binomial distribution is used.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem:

The probability is P(X = 3), then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.0769)^{3}.(0.9231)^{0} = 0.0005\)

0.0005 = 0.05% probability.

Item b:

Without replacement, hence the trials are not independent and the hypergeometric distribution is used.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability is also P(X = 3), hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 3) = h(3,52,3,4) = \frac{C_{4,3}C_{48,0}}{C_{52,3}} = 0.0002\)

0.0002 = 0.02% probability.

To learn more about the binomial and the hypergeometric distribution, you can take a look at https://brainly.com/question/25783392

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

To know more about concave mirror Visit:

https://brainly.com/question/31379461

#SPJ11

-0.05 is the average rate of change in median age per year from 1930 to 1960.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  a data set that gives the median age of an American man at the time of his first marriage.

Year                             Median age

1910                              25.1

1920                             24.6

1930                             24.3

1940                             24.3

1950                             22.8

1960                             22.8

1970                             23.2

1980                             24.7

1990                             26.1

2000                             26.8

The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)

The average rate of change from 1930 to 1960 = -0.05

Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1

Answer:

3w + 8 = 2

Step-by-step explanation:

product of a number and 3 is w * 3

eight more than the above is 3w + 8

which is equal to 2

3w + 8 = 2

Answer:

26 miles

Step-by-step explanation:

add 9 miles to 17 miles= 26 miles

Answer:

44

Step-by-step explanation:

(50+5)=55x.08= 4.4

55+4.4= 59.4

Answer:

$59.40

Step-by-step explanation:

$55 + $4.40 (8% tax) = $59.40

Answer:

2250

Step-by-step explanation:

X =6

7x2 10

7*(6)2 *10

7*36* 10

225*10

2250

Answer:

60

Step-by-step explanation:

This shape can be divided into a rectangle and a right triangle.

rectangle: l x w = 8 x 6 = 48

triangle: .5bh = .5 x (12-8) x 6 = 12

48 + 12 = 60 square units

hope this helped!