6^-10/(6^4)(6^0)
what is the answer

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.

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Answer:

c. antibodies

Step-by-step explanation:

Antibody Functions

Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.

its letter b. 120 degrees

Answer: y = -1/2

Step-by-step explanation:

Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.  

3x+4y=4                  3x+4y=4  

2x-4y=6     ----->  (-) 2x-4y=6

For the x value, you would get 2. 5x=10 therefore x=2.

Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.

3x+4y=4   --->  3(2)+4y=4

3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.

Answer:

(9,4)

Step-by-step explanation:

applying coordinate geometry

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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The mean value and the variance of z are 3.5 and 0.486, respectively.

Suppose that a die is rolled twice and the average of the two numbers of spots is recorded as a quantity z. What are the mean value and the variance of z?

Let X be the first number of spots and Y be the second number of spots. As X and Y are independent and have the same distribution, we have

E(X) = E(Y) = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 21 / 6 = 3.5,
Var(X) = Var(Y) = (1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) / 6 - (21 / 6)^2 = 2.9167.

Let Z = (X + Y) / 2 be the quantity of interest. Then

E(Z) = E[(X + Y) / 2] = E(X) / 2 + E(Y) / 2 = 3.5,
Var(Z) = Var[(X + Y) / 2] = Var(X) / 4 + Var(Y) / 4 = 0.486.

Therefore, the mean value and the variance of z are 3.5 and 0.486, respectively.

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Answer:

The triangles shown are proportional

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

Answer:

-7\(x^{3}\) + 9\(x^{2}\) -4x

Step-by-step explanation:

-4\(x^{3}\) + 8\(x^{2}\) - 4x - 3\(x^{3}\) + \(x^{2}\)

-7\(x^{3}\) + 9\(x^{2}\) -4x

The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).

The Bayes theorem can be used to determine P(T|F):

P(T|F) = P(F|T) * P(T) / P(F)

where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).

Using the conditional probability formula, we can determine P(F|T):

P(F|T) = P(F and T) / P(T)

Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.

Therefore:

P(F|T) = 0.95 / 0.95 = 1

Substituting into Bayes' theorem:

P(T|F) = 1 * 0.95 / 1 = 0.95

Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

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We return "Yes"; otherwise, we return "No".

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

To solve this problem, we can work backward from (c,d) to (a,b) and check if each step is valid. Specifically, we can use the following observations:

If c < a or d < b, it is impossible to reach (c,d) from (a,b) using the given operations.

If c - a = d - b, we can reach (c,d) from (a,b) using only the second operation. Specifically, we can perform the operation (a, a+b) repeatedly until we reach (c,d).

If c - a != d - b, we can reach (c,d) from (a,b) using a combination of the two operations. Specifically, we can perform the first operation (a,b) -> (a+b,b) repeatedly until we get to a point where c - a = d - b, and then use the second operation to get to (c,d).

Here, we first check if it is impossible to reach (c,d) from (a,b) using the observations above. If not, we perform the second operation as many times as possible to reduce the difference between c and a, and d and b. Once this is done, we check if we have arrived at (a,b).

Therefore, we return "Yes"; otherwise, we return "No".

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A graph of the inequality is shown in the image attached below.

In this scenario, we would solve the given inequality by making m the subject of formula as follows;

-2 > m/6 - 7

By collecting like terms, we have the following:

-2 + 7 > m/6

5 > m/6

Cross-multiplying, we have:

30 > m

By re-writing the inequality, we have:

m < 30

Next, we would use an online graphing calculator to plot the inequality as shown in the graph attached below. Also, the circle is open because of the greater than (>) symbol.

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The value today of a money machine is $4,712.25. The value of the investment is $31,323.15.

Question 9:

To calculate the present value of the money machine, we can use the formula for the present value of an ordinary annuity:

PV = P * [(1 - (1 + r)^(-n)) / r],

where PV is the present value, P is the annual payment, r is the interest rate per period, and n is the number of periods.

Given:

Annual payment (P) = $1000,

Interest rate per period (r) = 4% = 0.04,

Number of periods (n) = 6 - 2 = 4.

Plugging in the values, we get:

PV = $1000 * [(1 - (1 + 0.04)^(-4)) / 0.04] = $4712.25.

Therefore, the value today of the money machine is $4712.25.

Question 10:

To calculate the present value of the investment, we can use the formula for the present value of a perpetuity:

PV = P / r,

where PV is the present value, P is the periodic payment, and r is the interest rate per period.

Given:

Periodic payment (P) = $500,

Interest rate per period (r) = 12% / 12 = 0.12 / 12 = 0.01.

Plugging in the values, we get:

PV = $500 / 0.01 = $31,500.

Therefore, the value of the investment today is $31,323.15.

In summary, the value today of the money machine that will pay $1000 per year for 6 years is $4712.25, and the value of the investment that will pay $500 per month starting four years from today and continue indefinitely is $31,323.15.

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The future value of the annuity is $11,200. $30,000 was invested, and the interest earned is -$18,800.

To find the future value of an annuity using the simple interest formula, we can use the following formula:

FV = P × (1 + r × n)

where:

FV is the future value of the annuity,

P is the annual payment,

r is the annual interest rate, and

n is the number of years.

In this case, the annual payment (P) is $10,000, the annual interest rate (r) is 4%, and the number of years (n) is 3. Let's calculate the future value.

FV = $10,000 × (1 + 0.04 × 3)

FV = $10,000 × (1 + 0.12)

FV = $10,000 × 1.12

FV = $11,200

Therefore, the future value of the annuity is $11,200.

To determine the amount invested, we need to multiply the annual payment by the number of years.

Amount Invested = P × n

Amount Invested = $10,000 × 3

Amount Invested = $30,000

So, $30,000 was invested.

To calculate the interest earned, we subtract the amount invested from the future value.

Interest Earned = FV - Amount Invested

Interest Earned = $11,200 - $30,000

Interest Earned = -$18,800

The negative value indicates that the annuity has not earned interest but has incurred a loss. However, it's worth noting that the simple interest formula assumes that the interest earned is proportional to the initial investment and does not account for compounding. If you're looking for a more accurate calculation of interest earned, it's advisable to use a compound interest formula.

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Answer:

Yes it satisfies the equation

Step-by-step explanation:

Let, P(x,y) = (-9,-4)

Then, x = -9

         y = -4

if we use this value in the equation, we will get L.S = R.S ;(-4 = -9 + 5)

So, the point satisfies the equation

Hope you have understood this

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Answer: 12

Step-by-step explanation:

You spend 20 hours working at a grocery store each week. You spend 3/5 of that time stocking shelves. You need to find out what 3/5 of 20 is.

Step 1: Turn 20 into a fraction

20 = 20/1

Step 2: Multiply

3/5 x 20/1 = 60/5

Step 3: Simplify

60/5 = 12

MEDIAN is the middle value of a data.

In general, the best measure of the central location for a data set that

contains outliers is the median. Median is the number that is halfway into

the set. The median is less affected by outliers than the mean, as it

represents the middle value when the data is sorted in ascending order.

To find the median, follow these steps:

1. Arrange the data in ascending order.

2. If there is an odd number of data points, the median is the middle value.

3. If there is an even number of data points, the median is the average of the two middle values.

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A population of scores has µ = 80. in this population, a score of x = 86 corresponds to z = 2.00. The population standard deviation is 03.

In statistics, the standard deviation is a measure of the variability or spread of an outcome. [1] A low standard deviation indicates that the value is close to the mean of the cluster (also called the expected value), while a high standard deviation indicates that the results are very interesting.

The standard deviation can be abbreviated as SD and is often used in mathematics and equations with the Greek letter σ (sigma) for population standard deviation or the Latin letter s for different sample sizes.

The standard deviation of a variable, such as a population, a data set, or a probability, is the basis of its variance. Algebraically it is easier than the mean absolute difference, but in practice, it is lower than the mean absolute difference. The useful feature of standard deviation is that it is expressed in the same unit as the data, unlike the difference.

Here we can use the Z-score formula:

Z = (X - µ) / σ

where Z is the Z-score, X is the individual score, µ is the population mean, and σ is the population standard deviation. In this case, we are given Z = 2.00, X = 86, and µ = 80. We need to find σ.

2.00 = (86 - 80) / σ

Now, solve for σ:

σ = (86 - 80) / 2.00 = 6 / 2.00 = 3

The population standard deviation (σ) is 3.

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Each friend will receive approximately 0.10 gallons of popcorn.

To split the 5 eighths gallons of popcorn evenly between his 6 friends, we first need to convert the fraction to a decimal. Since one eighth is equal to 1/8, 5 eighths can be written as 5/8. To convert this fraction to a decimal, we divide the numerator (5) by the denominator (8). 5 divided by 8 equals 0.625. This means that the student has 0.625 gallons of popcorn.

To find out how much popcorn each friend will receive, we need to divide the total amount of popcorn (5 eighths gallons) by the number of friends (6).

First, let's convert 5 eighths to a decimal.

One eighth is equal to 1/8, so 5 eighths is 5/8.

To convert 5/8 to a decimal, divide the numerator (5) by the denominator (8):

5 ÷ 8 = 0.625.

Now, we can divide 0.625 by 6 to find the amount of popcorn each friend will receive.

0.625 ÷ 6 = 0.10416666667

Rounded to the nearest hundredth, each friend will receive approximately 0.10 gallons of popcorn.

Each friend will receive approximately 0.10 gallons of popcorn.

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Answer:

It should be 583*10^-3

The percentage increase in the value of g is given as follows:

56.25%.

The percentage increase is obtained applying the proportions in the context of the problem.

The value of r is decreased by 20%, hence:

r = 0.8r.

Then:

gm = Gm/(0.8r²) = Gm/(0.64r²) = (1/0.64)g = 1.5625g.

Hence the percent increase is obtained as follows:

1.5625 - 1 = 0.5625 = 56.25%.

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The statement is true. In the context of vector calculus, the dot product between two vectors u and v is defined as the product of their magnitudes and the cosine of the angle between them.

The dot product satisfies the distributive property and is linear with respect to scalar multiplication, which means that for any scalar c and vectors u and v, we have:

u · (cv) = c(u · v)

This equation states that taking the dot product between vector u and the scalar multiple cv is equivalent to multiplying u by the dot product between u and v scaled by c.

This property is useful in many applications of vector calculus, including the computation of work and the projection of vectors onto subspaces. It is also used in the definition of the norm and the inner product of vectors.

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The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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The U.N. Resolution 1373 further enhanced the President's "imperial" powers under President George W. Bush by providing him with the authority to take necessary actions to protect American national security.  

Additionally, it permitted the use of force to deter terrorism and included measures to prevent terrorist financing and money laundering. Resolution 1373 reinforced the Presidential powers in various ways. Firstly, it authorized the President to utilize all appropriate military power to prevent and respond to acts of international terrorism. It allowed the President to seize and freeze assets that are believed to belong to terrorist groups, and it required states to stop providing sanctuary for terrorists and dismantle terrorist networks. Additionally, it permitted the President to take necessary measures to ensure that terrorists were not allowed to enter or transit their territories. Finally, Resolution 1373 obliged all states to cooperate fully in the struggle against terrorism by sharing information about terrorist activities with other states and exchanging financial and travel information.

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Answer:Chris spent 13 3/4 minutes on question C

Step-by-step explanation:

First let's write an equation:

We know 30 is the total and we are trying to find a part, and 11 3/4 is a part and 4 and 1/2 is a part

So:

30=11 3/4 + 4 1/2 + x

30=16 1/4 + x

- 16 on both sides(to find what x equals to)

13 2/4=x

X=13 3/4

To determine the distance traveled by Katie at different marks, we can use the formula Distance = Rate × Time.

To determine how far Katie has traveled at each mark, we can use the formula:
Distance = Rate × Time

So, the elements in the range of the function that would be used to determine how far Katie has traveled at each mark are 384 miles, 416 miles, and 448 miles.

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