Simplify -2/5 + 4/3. What is the answer?

Answer:

the bigger box

256cm² = 16cm (each side)

the smallest box

64cm²= 8cm (each side)

calculate

16cm-8cm

=8cm

8cm÷2

final answer :-

4 cm

HOPE THIS HELPS

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

x = 21

Step-by-step explanation:

5x + 15 = 2x + 78

3x = 63

x = 21

Answer:

x = 21°

Step-by-step explanation:

As corresponding angles in parallel lines are equal,

5x + 15 = 2x + 78

And now let us solve for x.

5x + 15 = 2x + 78

5x + 15 - 2x = 78

3x + 15 = 78

3x = 78 - 15

3x = 63

Divide both sides by 3.

x = 21°

To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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B) The data does not represent a proportional relation, but it has constant rate of change of $5 per shirt.

A)

Take number of T-shirts up to 3 and calculate their proportions.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Clearly the rate of T- shirts is not proportional.

B)

From option (A) we found the given data is not proportional but from the table given in question the rate of change of T- shirts is indeed $5.

C)

No, there is a constant rate of change of $5 as shown in the table below.

D)

No, the data does not represent a constant proportionality. The rate varies.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Rate of change is the rate that describes how one quantity changes relative to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change change=change in y / change x  

Rate of change can be positive or negative. This corresponds to an increase or decrease in the y-value between two data points. If a quantity does not change over time, it is called zero rate of change.

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Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

Answer:

34 and 30

Step-by-step explanation:

8 times 3 = 34

and 34-4=30

divide 8 by 2 and you'll get 4

so, 34-4=30

Answer:

4⁴⁰

Step-by-step explanation:

just multiple 5×8

that's it

Answer:

x=9

Step-by-step explanation:

The triangle is equilateral which means the sides are equal.

x+9 = 2x

Subtract x from each side

x+9-x = 2x-x

9 =x

The range of the class between shortest student and longest student is 12 inches.

Range is the difference between highest and lowest possible values.

R= (higest value)-(lowest value)

Tallest student= 63 inches

Shortest student= 51 inches

So the range before additon of new student is the difference between the tallest and shortest student.

R= 63(tallest student) - 51(shortest student) = 12inches

Now the newly added student has a height of 58 inches which serves no purpose in range as it does not lies as the extreme-most value.

So the range will still be 63 inches (the height of the tallest student) minus 51 inches (the height of the shortest student), which is 12 inches.

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The first four terms and the hundredth term of the sequence whose nth term is given as an=n^2-3 are -2, 1, 6, 13, and 9997, respectively.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is the expression. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The sum of 8 and 3 equals 11. 8 + 3 is an expression.

Here,

aₙ=n²-3

a₁=-2

a₂=1

a₃=6

a₄=13

a₁₀₀=100²-3

=9997

The first four terms and the 100th term of the sequence whose nth term is given as an=n^2-3 is -2, 1, 6, 13 and 9997.

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Answer:

Step-by-step explanation:

Width = Area÷ length

         = 5 1/3 ÷ 2 1/3

         = 16/3 ÷ 7/3

        \(= \dfrac{16}{3}*\dfrac{3}{7}\\\\\\=\dfrac{16}{7}\\\\=2\dfrac{2}{7}\)

The probability that less than 80 of the 200 patients will not respond to the medication is approximately 0.9868 or 98.68%.

An allergy medication is successful in treating 65% of all patients who use it. The medication is given to 200 patients. Let X represent the number of patients who will not respond to the medication.

In order to determine the probability that less than 80 of the 200 patients will not respond to the medication, we need to first find the mean and standard deviation of the sample using the following formulas:

μ = n * p = 200 * 0.35 = 70σ = √(n * p * (1 - p)) = √(200 * 0.35 * 0.65) = 4.54

Once we have the mean and standard deviation, we can use the standard normal distribution table to determine the probability of X < 80 using the following formula:z = (X - μ) / σz = (80 - 70) / 4.54 = 2.20

Using the standard normal distribution table, the probability of Z < 2.20 is 0.9868.

Therefore, the probability that less than 80 of the 200 patients will not respond to the medication is approximately 0.9868 or 98.68%.

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The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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To find the score that separates the bottom 82% from the top 18% in a normal distribution with a mean of 80.1 and a standard deviation of 46, we need to find the corresponding z-score and then convert it back to the original score using the formula x = μ + zσ. Therefore, the score that separates the bottom 82% from the top 18% is approximately 123.24.

In a normal distribution, the area under the curve represents the probability of obtaining a value below a certain point. To find the score that separates the bottom 82% from the top 18%, we need to find the z-score that corresponds to the 82nd percentile.

The z-score represents the number of standard deviations an observation is from the mean. To find the z-score, we can use a standard normal distribution table or a statistical calculator.

For the 82nd percentile, the area under the curve to the left of the z-score is 0.82. Using the standard normal distribution table, we can find the z-score corresponding to this area, which is approximately 0.94.

To convert the z-score back to the original score, we use the formula x = μ + zσ, where x is the score, μ is the mean, z is the z-score, and σ is the standard deviation.

Using the given values, we can calculate the score separating the bottom 82% from the top 18%:

x = 80.1 + 0.94 * 46

x ≈ 123.24

Therefore, the score that separates the bottom 82% from the top 18% is approximately 123.24.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

5/365 years, or 0.014 years

Step-by-step explanation:

Just like any conversion of units, we just set up the starting amount and multiply it by the correct ratio:

    5 days (1 year/ 365 days) = 5/365 years = 0.014 years

You just need to make sure you choose the right ratio. In this case, I know that 1 year is 365 days, and I'm trying to cancel the days unit, therefore I put the year in the numerator and the days in the denominator.

I hope this helps :D

Answer:

0.01

Step-by-step explanation: 5 ÷ 365 ( days of year)  and it gives you 0.013 then round to nearest  hundredth and since 3 is less than 5 it becomes a 0

The probability of ml1 is 0.890, or 89.0% the specificity or probability of ml2 is 0.993, or 99.3% to three significant digits

To find the sensitivity of ml1, we need to look at the true positive rate, which is the probability of the machine learner predicting an intrusion given that an intrusion actually occurred. This can be found from the table as:

sensitivity = P(ml1 predicts intrusion | intrusion) = 0.0129/(0.0129 + 0.0016) = 0.890

Therefore, the probability of ml1 is 0.890, or 89.0% (to three significant digits).

To find the probability of ml2, we need to look at the true negative rate, which is the probability of the machine learner predicting a valid user given that a valid user is actually using the system. This can be found from the table as:

specificity = P(ml2 predicts valid user | valid user) = 0.985/(0.985 + 0.007) = 0.993

Therefore, the specificity of ml2 is 0.993, or 99.3% (to three significant digits).

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The smallest positive solution of the equation 3sin(2x-1)-1=0 is x ≈ 0.854.

To find the smallest positive solution of the equation 3sin(2x-1)-1=0, we need to use some algebraic manipulation and trigonometric properties.
First, let's isolate the sine function by adding 1 to both sides of the equation:
3sin(2x-1) = 1

Next, divide both sides by 3 to get:
sin(2x-1) = 1/3

Now, we need to use the inverse sine function (denoted as sin^-1 or arcsin) to find the angle that has a sine value of 1/3.

However, we must be careful when using the inverse sine function because it only gives us the principal value, which is the angle between -π/2 and π/2 that has the same sine value as the given number.

Therefore, we need to consider all possible solutions that satisfy the equation.

Using the inverse sine function, we get:

2x-1 = sin^-1(1/3) + 2πn OR 2x-1 = π - sin^-1(1/3) + 2πn

where n is any integer.

The addition of 2πn allows us to consider all possible solutions since the sine function has a periodicity of 2π.

Now, let's solve for x in each equation:
2x-1 = sin^-1(1/3) + 2πn
2x = sin^-1(1/3) + 1 + 2πn
x = (sin^-1(1/3) + 1 + 2πn)/2

2x-1 = π - sin^-1(1/3) + 2πn
2x = π + sin^-1(1/3) + 1 + 2πn
x = (π + sin^-1(1/3) + 1 + 2πn)/2

Since we are looking for the smallest positive solution, we can set n = 0 in both equations and simplify:
x = (sin^-1(1/3) + 1)/2 OR x = (π + sin^-1(1/3) + 1)/2

Using a calculator, we get:
x ≈ 0.854 or x ≈ 2.288

Both of these solutions are positive, but x = 0.854 is the smallest positive solution.

Therefore, the smallest positive solution of the equation 3sin(2x-1)-1=0 is x ≈ 0.854.

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To find the endpoints in a standard normal distribution with the given properties, we'll use the z-table:

1. The area between ± z is 0.80: Look for 0.4000 in the z-table (0.80/2), which corresponds to a z-score of approximately ±1.28.
2. The area between ± z is 0.90: Look for 0.4500 in the z-table (0.90/2), which corresponds to a z-score of approximately ±1.645.
3. The area between ± z is 0.95: Look for 0.4750 in the z-table (0.95/2), which corresponds to a z-score of approximately ±1.96.
4. The area between ± z is 0.98: Look for 0.4900 in the z-table (0.98/2), which corresponds to a z-score of approximately ±2.33.
5. The area between ± z is 0.99: Look for 0.4950 in the z-table (0.99/2), which corresponds to a z-score of approximately ±2.58.

To summarize, the endpoints on a standard normal distribution with the given areas are approximately ±1.28, ±1.645, ±1.96, ±2.33, and ±2.58.

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The function simulates exponential decay, and it degrades by 5.1% for every increment in x.

Explosive increase and decay are common in situations where quantities change rapidly. It has been suggested that exponential development and decay follow a geometric progression. Quantities that change exponentially rather than continually are referred to be exponentially growing or decaying.

As per the given data in the question,

An exponential function with the formula y = a\(r^x\) is the function that is given.

a = 330

r = 0.949

The function indicates exponential growth if the base r is larger than 1. The function shows exponential decline if indeed the base r is far less than 1. In this instance, the function depicts exponential decline because the base r is smaller than 1, or 0.949.

If we want to describe the rate of reduction as a percentage, we can remove the base r by 1 and multiply it by 100.

The rate of reduction as a percentage in this instance is:

1 - 0.949 = 0.051 ×100

= 5.1%.

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

This is neither a permutation nor a combination.

When we say area code, we can assume that we are talking about the 7 digit codes of a phone number that are possibly added to the particular code of an area

If this is the situation, given the 10 ways we can select the 7 digits. But this  is not a combination given that the groups do not have the same elements. It is not also q permutation because we are not choosing arrangements of the 10 numbers.

To solve this we would have 10 values to the power of 7 which  is

10^7

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Answer:

b) 83.2 c) 62.5

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The probability that both the balls drawn are white is 2/7 when two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.

Two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.

Therefore, Total number of balls in the box = 4+ 3 = 7 balls

Thus, the probability that the first ball drawn is a white is = (Total number of white balls) /  ( Total number of balls)

=4/7

The next ball is drawn without replacement thus the number of balls in the box is 6.

And if 1 ball is picked in drawn n first tie, then remaining number of white balls is 3.

Thus, the probability that the second ball drawn is a white is = (Remaining number of total white balls) /  ( Remaining number of total balls)

= 3/6 = 1/2

Therefore, the probability that both the balls drawn are white is

= (4/7)*(1/2)

= 2/7

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