How do you determine where to place the decimal point in the product?

Answer:

2/5

Step-by-step explanation:

You see he had 7/5 wich equals 1 2/5 who used 2/5 so subtract 2 and you have 1 whole left.

The value of a computer is decreasing at a rate that is proportional at any time to the value of the computer at that time The computer is worth 8850 initially, and it is worth S306 after 2 years. Then $66 will the computer be worth after 5 years.

To solve this problem, we can use the concept of exponential decay, where the value of the computer decreases exponentially over time.

Let's denote the value of the computer at any time t as V(t). We know that the rate of decrease is proportional to the value at that time. This can be expressed as:

dV/dt = k × V(t)

where dV/dt represents the rate of change of V with respect to t, and k is the proportionality constant.

To find the value of k, we can use the initial condition. The computer is worth 8850 initially, so we have:

V(0) = 8850

After 2 years, the computer is worth $306, so we have:

V(2) = 306

Now we can solve for k. Integrating the differential equation, we get:

∫(1 / V(t)) dV = ∫k dt

ln(V(t)) = kt + C

Taking the exponential of both sides, we have:

V(t) = e^(kt+C)

Since V(0) = 8850, we can substitute these values into the equation to solve for C:

e^(k × 0 + C) = 8850

e^C = 8850

C = ln(8850)

Now we have the equation:

V(t) = e^(kt + ln(8850))

Using the value V(2) = 306, we can substitute these values into the equation:

306 = e^(2k + ln(8850))

Taking the natural logarithm of both sides, we get:

ln(306) = 2k + ln(8850)

Solving for k:

k = (ln(306) - ln(8850)) / 2

Now, to find the value of the computer after 5 years (V(5)), we substitute t = 5 into the equation:

V(5) = e^(5k + ln(8850))

Calculating the value using the previously found value of k:

V(5) = e^(5 × [(ln(306) - ln(8850)) / 2] + ln(8850))

After evaluating this expression, we find that the value of the computer after 5 years is approximately $66. Therefore, the correct answer from the provided options is $66.

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Answer:

PQ = 46

Step-by-step explanation:

PM = 6x - 49

MQ = 47 - 2x

6x - 49 = 47 - 2x

8x - 49 = 47

8x = 96

x = 12

PM = 6x - 49

      = 6(12) - 49

      = 23

MQ = 47 - 2x

      = 47 - 2(12)

      = 47 - 24

      = 23

PQ = PM + MQ

     = 23 + 23

     = 46

The matrix that represents all digits in the base-ten positional numeral system, except zero, is a 9x9 matrix where each element represents a digit from 1 to 9.

The matrix that represents all digits in the base-ten positional numeral system, except zero, can be represented as follows:

[1 2 3 ... 9]

To check if this matrix has an inverse, we calculate its determinant. Since the matrix is a 9x9 matrix with elements from 1 to 9, the determinant can be calculated using standard methods such as expansion by minors or row reduction. However, since the matrix is a simple sequential arrangement of numbers, we can observe that the determinant of this matrix is zero. This is because the determinant of a matrix with identical rows or columns is always zero.

Since the determinant of the matrix representing the digits from 1 to 9 in the base-ten system is zero, we can conclude that the matrix does not have an inverse. Inverse of a matrix exists only if the determinant is non-zero. In this case, since the determinant is zero, the matrix does not have an inverse.

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Answer:

10 bags

Step-by-step explanation:

To have 4 kg, he would need 20/5 kg. Each bag is 2/5, so 2/5 times 10 is 20/5 or 4 kg

Answer:

The x-intercept and the y-intercept of the graph of 12x-4y=48 is 6.

Step-by-step explanation:

I used trial and error. I substituted x and y with 6 to get the answer.

12(6)-4(6)=48

Answer:

3/5

Step-by-step explanation:

There are 20 balls, numbered 1 through 20.

Of these, 10 are even, 4 are less than five, and 2 are both even and less than 5.

So the probability is:

P(even or <5) = P(even) + P(<5) − P(even and <5)

P(even or <5) = 10/20 + 4/20 − 2/20

P(even or <5) = 12/20

P(even or <5) = 3/5

The value of the unknown should be set at 5 so that 98 of 6- oz. mugs won't overflow is A)5.18.

Given data

A soft- drink machine can be regulated so that it discharges an normal of? oz. per mug. The ounces of filler are typically distributed with a standard divagation of0.4 oz.

What value should be set at so that 98 of 6- oz. mugs won't overflow?

Let μ be the mean ounces of filler per mug.

μ can be attained by using the formula

μ = 6 oz. = 6/8 = 0.75 mugs.

Now, given σ = 0.4 oz.

The Z- score for a 6- oz mug can be calculated as follows

z = ( x- μ)/ σ

Then, x = 6 oz = 6/8 = 0.75 mugs.

μ = 0.75 mugs

σ = 0.4 oz.

z = (0.75-0.75)/0.4 = 0

For 98 of 6- oz mugs to not overflow, we need to find the value of μ similar that P( z Since the Normal distribution is symmetric about the mean, we have

P( 0< z We can look up the value of

z_score for P( 0< z

standard normal distribution table or use the inverse function on a calculator similar as Excel.

Using a table, we get the value ofz_score = 2.33.

Now, z = ( x- μ)/ σ2.33 = (0.75- μ)/0.4

μ = 0.75-0.4 ×2.33

μ = 0.75-0.932

μ = -0.182 oz.6 oz in terms of ounces = 6 *0.125 = 0.75 oz.

oz per mug in terms of ounces = ? *0.125 oz.

Using the values from above

μ = -0.1820.75 = 0.568 oz. ≈0.57 oz.

= 0.57/0.125 = 4.56 or 5

So, the value of the unknown should be set at 5 so that 98 of 6- oz. mugs won't overflow is A)5.18.

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Answer:

A

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

Set up a proportion, where x is the number of miles he bikes in 1 hour:

[tex]\frac{18}{3}[/tex] = [tex]\frac{x}{1}[/tex]

Cross multiply and solve for x:

3x = 18

x = 6

So, he bikes 6 miles in 1 hour

Answer:

6 miles

Step-by-step explanation:

:)

The two positive real numbers with a product of 11 that have the smallest possible sum are √11 and √11. In decimal form, these numbers are approximately 3.3166 and 3.3166.

To determine two positive real numbers whose product is 11 and have the smallest possible sum, we can use the concept of the arithmetic mean-geometric mean inequality.

Let the two numbers be x and y.

We have the following conditions:

1. xy = 11 (product of the two numbers is 11)

2. x > 0, y > 0 (both numbers are positive)

According to the AM-GM inequality, the arithmetic mean of two numbers is always greater than or equal to the geometric mean of those numbers.

Using this inequality, we have:

(x + y)/2 ≥ √(xy)

Substituting the value of xy as 11, we get:

(x + y)/2 ≥ √11

To minimize the sum (x + y), we need to make it as close as possible to the right side of the inequality.

This occurs when equality holds, that is, when:

x = y = √11

So, the answer is approximately (3.3166, 3.3166).

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Answer:

42

Step-by-step explanation:

Answer:

use the y=mx + b method

rise over fun

Answer:

-4/3

Step-by-step explanation:

Like the other person said, rise up 4 and 3 to the left. Line is going from left to right so it's negative.

In this problem, the salesperson contacts 8 potential customers per day and the probability of a potential customer making a purchase is 0.10.

We have to find the probability that the salesperson will make exactly two sales in a day. This is a binomial probability problem. The binomial probability distribution is a discrete probability distribution that is used when the outcome of an experiment is binary, i.e., it can take only two values. The binomial probability distribution is characterized by two parameters: n and p. The parameter n is the number of trials in the experiment, and p is the probability of success in each trial. In this problem,

n = 8, and p = 0.10.

To find the probability of exactly two successes in 8 trials, we can use the formula:

P(X = k) = nCk * p^k * (1 - p)^(n-k)

where X is the random variable that represents the number of successes in n trials, k is the number of successes we want to find, nCk is the number of combinations of n items taken k at a time, and p is the probability of success in each trial.Using this formula, we get:

P(X = 2) = 8C2 * (0.10)^2 * (0.90)^(8-2)= 28 * 0.01 * 0.43046721= 0.0120936

Therefore, the probability that the salesperson will make exactly two sales in a day is 0.0120936 or about 1.21%.

Thus, the salesperson will make exactly two sales in a day with a probability of 0.0120936 or about 1.21%.

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Answer:

18

Step-by-step explanation:

14 11/12 rounds to 15, and 3 1/6 rounds to 3. 3 plus 15 is 18.

Step-by-step explanation:

take the 1st eqn n divide it throughout by 3, the 3rd eqn n divide throughout by 4, all 3 equations will be the same as the 2nd one

The classification which best describes the system of equations is; Consistent and dependent

Discussion:

A linear or nonlinear system of equations as the case may be is termed consistent if there is at least one set of values for the unknowns that satisfies each equation in the system. In essence, when substituted into each of the equations, they make each equation hold true.

Additionally, the system of equations is dependent because the value of each variable is dependent on the others.

Therefore, when equation 1 and 3 are divided by 3 and 4 respectively; the equations become similar to equation 2.

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The lower bound of [tex]\(p\) is \(14.25\)[/tex] and the upper bound is [tex]\(14.35\).[/tex]

The given truncated number is [tex]\(14.3\)[/tex]. To find the upper and lower bounds of [tex]\(p\)[/tex], we need to consider the possible range of values that could round to [tex]\(14.3\)[/tex] when truncated to 1 decimal place.

Lower bound: To find the lower bound, we need to consider the greatest number that rounds down to [tex]\(14.3\)[/tex]. This is obtained by subtracting 0.05 from the given truncated number:

[tex]\(\text{{Lower bound}} = 14.3 - 0.05 = 14.25\)[/tex]

Upper bound: To find the upper bound, we need to consider the smallest number that rounds up to [tex]\(14.3\)[/tex]. This is obtained by adding 0.05 to the given truncated number:

[tex]\(\text{{Upper bound}} = 14.3 + 0.05 = 14.35\)[/tex]

Therefore, the lower bound of [tex]\(p\) is \(14.25\)[/tex] and the upper bound is [tex]\(14.35\).[/tex]

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The similarity dimension of the Cantor point set is approximately 0.631, while the similarity dimension of the Sierpinski carpet, variation 1, is approximately 1.893.

Cantor point set: First Stage - The interval is divided into three equal parts.

Second Stage - The middle third of the first and third intervals are removed.

Third Stage - The middle third of the remaining intervals is removed.

This process is continued infinitely to create the Cantor set. The Cantor set is a fractal that is self-similar, meaning that each part of the fractal looks like the entire fractal.

To find the similarity dimension of the Cantor set, we will use the following formula:

log(2)/log(3) ≈ 0.631

log(8)/log(3) ≈ 1.893

The similarity dimension of the Cantor point set is approximately 0.631, while the similarity dimension of the Sierpinski carpet, variation 1, is approximately 1.893.

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Answer: Around 2,000 words.

Answer:

1.5

Step-by-step explanation:

Let the unknown number be x.

12 - 5x = 3x

12 = 3x + 5x = 8x

. : x = 12/8 = 3/2 = 1.5

Answer:

3

Step-by-step explanation:

162/54 = 3

The answer is  20.45 years. The mean age of the combined distribution of both men and women in the course is approximately 20.45 years.(Option-c)

Since we know the percentages of men and women enrolled in the sociology course, we can use them to calculate the weighted average of the mean ages for men and women.

Let the combined distribution of both men and women be represented by the random variable X. We know that X is a weighted average of the mean ages for men and women, with weights equal to their respective percentages. That is:

X = 0.54*M + 0.46*W

We're asked to find the mean age of X. To do that, we need to find the expected value of X, which is the same as the mean of X. So we need to calculate E(X):

E(X) = E(0.54*M + 0.46*W)

By linearity of expectation, we know that:

E(aX + bY) = aE(X) + bE(Y)

So we can simplify E(X) as:

E(X) = 0.54*E(M) + 0.46*E(W)

We're given the mean ages for M and W, so we can substitute these values into the equation:

E(X) = 0.54*20.7 + 0.46*20.2

Simplifying, we get:

E(X) = 20.45 years (option-c)

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Answer: The y intercept (3) goes 3 up in the y axis.

To find the slope (rise/run), we start from the point we found at the y intercept ( which is 3). So we rise 1 (from the 3), and run 5.  

(always run to the right)

The file is a picture of your equation.

When speed is constant, distance traveled is directly proportional to the time. As the formula tells:

Speed = Distance / Time

So, if speed is constant, and you are increasing distance then time will increase, in order to keep the speed constant

Answer:

no

Step-by-step explanation:

From the table

when f(x) = - 4, then x = 2

Answer:

B

Step-by-step explanation:

Hope this helps