The place value of the number 4 in 134,521 (plural)​

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Answer: 20: A, 18: D, 8: All yes but the last one, 17: A

Step-by-step explanation:

To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

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Mean of older groups = 16

Mean of younger groups = 14

If you tested two age groups on the number of details, Further suppose that you fail to reject the null hypothesis for this independent samples t-test.

the difference between these sample means,

As we fail to reject the null hypothesis, the sample means probably came from the same population, and the difference is just due to sampling error.

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Answer:

64

Step-by-step explanation:

first compute the bracket 2 cubed which is 8

then square the contents of the bracket which results in 64

Answer:

It makes sense that the solution is also what is listed because they added up how many bananas were purchased and how many grapes were purchased.  Then they totalled how much each person spent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify 4p - 6+3(p - 5)

4p - 6 + 3(p - 5) =

4p - 6 + 3p - 15 =

7p - 21

7p-21

4p-6+3(p-5)

4p-6+(3×p)- (3×5)

4p-6+3p-15

4p+3p-6-15

7p-21

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The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

Answer:

Height = 6h

Width = 11.5h

explaination:

The height of each poster is h, and the width is 8.5 inches more than the height, so the width is 11.5h. The total height of the rectangle is 6h, since there are 6 posters arranged in two rows of three. The total width of the rectangle is 11.5h, since there are 3 posters arranged side by side.

The quadilateral MNOP has been rotated clockwisely by 90 degrees

The coordinates of the rotated shape are

Mi (4, -2)

Ni (1. -3)

Oi(0, -1)

Pi (2, 0)

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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To find the equation of a line perpendicular to y = 3x and passing through the point (3,1), you can determine the slope (m) and y-intercept (b) of the new line.

The slope of the perpendicular line is the negative reciprocal of the slope of the original line, and the y-intercept remains the same.

The slope-intercept form of a line is y = mx + b, where m represents the slope and b represents the y-intercept. To find the slope (m) of the perpendicular line, we need to take the negative reciprocal of the slope of the original line.

In this case, the slope of y = 3x is 3. The negative reciprocal of 3 is -1/3. So, the slope of the perpendicular line is -1/3.

To find the y-intercept (b) of the perpendicular line, we can substitute the coordinates (3,1) into the equation y = mx + b and solve for b. Using the slope-intercept form and substituting the values, we have 1 = (-1/3) * 3 + b. Simplifying this equation gives us 1 = -1 + b.

Adding 1 to both sides, we find b = 2.

Therefore, the equation of the line perpendicular to y = 3x and passing through the point (3,1) is y = (-1/3)x + 2.

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False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.

The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.

The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.

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Answers:

5.8x10-7= 51

5.15x10^6= 5150000

6.37x10-^2= 637

5.545x10-7= 55450000

Answer:

y=9x +5  , 8 hours

Step-by-step explanation:

9 dollars per hour = 9x

travel allowance = 5

y = 9x + 5

77 = 9x + 5

77 = 9x +5

-5          -5

-----------------

72= 9x

72/9 = x

x= 8

The set 3 = y + 1 and x = -6 does not belong to the four sets of equations because it a linear equation with one variable.

Linear equation has only one variable. The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

While simultaneous equations are two or more equations that are satisfied by the same set of values for the variables.

we can observe that the pairs;

y = 3x + 1

y = 3x - 1,

-2x + y = 2

-4x + 2y = 4 and,

y - 1 = 2(x + 4)

y + 3 = -5(x + 1)

all have more than one variable and can give the same set of values to satisfy for each pair.

But the set;

3 = y + 1 and x = -6 only have one variable each and will have only on solution.

In conclusion, only the set of equations 3 = y + 1 and x = -6 with one variable does not belong.

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If the product of the terms of the fraction is 162 and the fraction is equivalent to 2/9 then the fraction is 6/27.

Let's assume the two terms of the fraction are x and y. We are given that xy = 162. Also, we know that the fraction is equivalent to 2/9. So, we can write,

x/y = 2/9

Cross-multiplying, we get,

9x = 2y

Solving for y, we get,

y = (9/2)x

Substituting this value of y in the equation xy = 162, we get,

x(9/2)x = 162

Simplifying, we get,

(9/2)x² = 162

x² = 36

x = 6 (taking the positive square root as x and y are positive)

Substituting this value of x in the equation y = (9/2)x, we get,

y = (9/2)(6) = 27

So, the fraction is 6/27, which simplifies to 2/9.

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Complete question - The product of two terms of a fraction is 162, find the fraction if it is equivalent to 2/9.

Answer:

See  below.

Step-by-step explanation:

Convert to decimal form

7 3/5 = 7.6

7 7/10 = 7.7

10 2/5 = 10.4

8 1/2 = 8.5

So the answer is

7 3/5 , 7 7/10, 8.3, 8.1/2, 10.2  10 2/5, 11.1.

Answer:

2520

Step-by-step explanation:

The n th term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference.

To find the number of terms given \(a_{n}\) = - 10 , d = - 2 and a₁ = 100, then

100 - 2(n - 1) = - 10 ( subtract 100 from both sides )

- 2(n - 1) = - 110 ( divide both sides by - 2 )

n - 1 = 55 ( add 1 to both sides )

n = 56 ← number of terms

Given n, a₁ and a₅₆ , then the sun of the terms is

\(S_{56}\) = \(\frac{n}{2}\) (a₁ + a₅₆ )

      = \(\frac{56}{2}\) (100 - 10) = 28 × 90 = 2520

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

The expression for the cubic function f is -5x^3 + 20x^2 - 25x.

To find an expression for a cubic function f(x) given specific values, we can start by using the general form of a cubic function: f(x) = ax^3 + bx^2 + cx + d.

We are given three points on the graph of the function: (5, 300), (-5, 0), and (0, 0), as well as (6, 0) which gives us a fourth point.

Substituting the x and y values into the equation, we get the following system of equations:

For point (5, 300):

300 = a(5^3) + b(5^2) + c(5) + d

For point (-5, 0):

0 = a(-5^3) + b(-5^2) + c(-5) + d

For point (0, 0):

0 = a(0^3) + b(0^2) + c(0) + d

For point (6, 0):

0 = a(6^3) + b(6^2) + c(6) + d

Simplifying these equations, we obtain a system of linear equations in terms of a, b, c, and d. Solving this system will give us the coefficients for the cubic function.

After solving the system, we obtain the expression for the cubic function:

f(x) = -5x^3 + 20x^2 - 25x

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Answer:

1800

Step-by-step explanation:

can i have brainliets, please? hee hee

18m

to convert into cm;

=18x100

=1800cm

We don't have enough information to compute the probability exactly of the three given cases but we can make some observations and can conclude the results.

Firstly, assigning some variables to the events:

A: Adam goes to the movie B: Bob goes to the movie C: Cindy goes to the movie

P(A|B) = 0.3 (the probability that Adam goes if Bob goes)

P(C|B) = P(C|A,B) (the probability that Cindy goes if Bob goes is the same as the probability that Cindy goes if both Adam and Bob go)

P(A&B&C) > 0 (the probability that all three will go is strictly positive)

We want to find P(A|B&C). We can use Bayes' theorem:

P(A|B&C) = P(A&B&C) / P(B&C)

= P(C|A,B) * P(B|A) * P(A) / P(C|B) * P(B) (by the multiplication rule and rearranging terms)

simplify this expression,

P(C|A,B) = P(C|B) (given)

P(B|A) = P(B) (assuming independence)

P(C|B) = P(C|A,B) + P(C|A,B') - P(C|A,B) * P(C|A,B') (by the law of total probability, where B' is the event that Bob doesn't go)

Substituting these into the expression for P(A|B&C), we get:

P(A|B&C) = P(C|B) * P(A) / [P(C|A,B) + P(C|A,B') - P(C|A,B) * P(C|A,B')]

We don't have enough information to compute this probability exactly, but we can make some observations:

P(A) > 0 (given)

P(C|B) > 0 (given that the probability that all three will go is strictly positive)

P(C|A,B') <= 1 (the probability that Cindy goes if Adam goes but Bob doesn't go can't be greater than 1)

P(C|A,B') < P(C|A,B) (intuitively, it's less likely that Cindy will go if Bob doesn't go)

Using these observations, we can conclude that:

P(C|A,B') * P(C|A,B) < P(C|A,B) (since both probabilities are between 0 and 1)

P(C|A,B) + P(C|A,B') - P(C|A,B) * P(C|A,B') > P(C|A,B) (by the above inequality)

P(C|B) * P(A) / [P(C|A,B) + P(C|A,B') - P(C|A,B) * P(C|A,B')] > P(A) * P(C|B) / P(C|A,B)

Therefore, we can say that:

P(A|B&C) > P(A) * P(C|B) / P(C|A,B)

In other words, the probability that Adam will go if both Bob and Cindy go is greater than the probability that Adam will go if Bob goes, multiplied by the probability that Cindy will go if Bob goes, divided by the probability that Cindy will go if both Adam and Bob go.

We cannot say exactly what this probability is without more information, but we can say that it is greater than 0.3 * P(C|B), since P(C|A,B) is at most equal to P(C|B).

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Answer:

x = 32 in

Step-by-step explanation:

8/34 = x/136

34x = 1088

x = 32 in

The estimated total time for all five pools is approximately 13.85 hours.

To estimate the time required to install the fifth pool using the learning curve, we can use the formula:

Time for nth unit = Time for first unit * (n^b)

Where:

Time for nth unit is the estimated time to install the nth pool

Time for first unit is the estimated time to build the first pool (30 hours)

n is the number of units (in this case, n = 5 for the fifth pool)

b is the learning curve exponent (85% learning rate corresponds to b = log(0.85) / log(2))

Let's calculate the estimated time for the fifth pool:

b = log(0.85) / log(2) ≈ -0.157

Time for fifth pool = Time for first pool * (5^b)

Time for fifth pool = 30 * (5^(-0.157))

Calculating this, we find:

Time for fifth pool ≈ 30 * 0.6764 ≈ 20.29 hours

Therefore, the estimated time required to install the fifth pool is approximately 20.29 hours.

To calculate the total time for all five pools, we need to sum the time required for each pool from the first to the fifth. Since the learning curve assumes decreasing time with increasing units, we can use a summation formula:

Total time for all units = Time for first unit * ((1 - (n^b)) / (1 - b))

Using this formula, let's calculate the total time for all five pools:

Total time for all five pools = Time for first pool * ((1 - (5^b)) / (1 - b))

Total time for all five pools = 30 * ((1 - (5^(-0.157))) / (1 - (-0.157)))

Calculating this, we find:

Total time for all five pools ≈ 30 * 0.4615 ≈ 13.85 hours

Therefore, the estimated total time for all five pools is approximately 13.85 hours.

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Given,

Time taken by motorboat to going 200 miles upstream is 5 hours.

Time taken by motorboat to going 200 miles downstream is 4 hours.

At upstream,

The speed of boat is offosed by the speed of current.

At downstream,

The speed of boat is incraesed by the speed of current.

Consider,

The speed of boat is b.

The speed of current is c.

The speed is calculated as,

Similarly,

Substituting the value of b from equation (2) then,

Substituting the value of c in equation (1) then,

Hence, the speed of boat is 45 mile per hour and speed of current is 5 mile per hour.