What is the median of the data set?
38, 65, 72, 67, 80
A
67
B 64
C
72
D 65

Answer:

the answer will be...

Step-by-step explanation:

1/5 x (6 x 4) =

1/5 x 24 = 4.8

or.....

0.2 x 24 =

4.8

Answer:

1=4

5=8

2=5

Step-by-step explanation:

Answer:

1, 5, 2 is the x values.

Step-by-step explanation:

you just subtract 3 from the y's

The equation of the parallel lines will be y = 0.8x and y = 0.8x - 3.2.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The intercepts of the line are (0, -3.2) and (4, 0). Then the equation of the line is given as,

y + 3.2 = [(0 + 3.2) / (4 - 0)](x - 0)

y = 0.8x - 3.2

The equation of the other parallel line that passes through the origin will be given as,

y = 0.8x

The equation of the parallel lines will be y = 0.8x and y = 0.8x - 3.2.

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The area under the standard normal distribution curve between z = 0 and z = 0.98 is:

                         0.8365 - 0.5000 = 0.3365

To find the area under the standard normal distribution curve between z = 0 and z = 0.98, we can use a standard normal distribution table or a calculator that can compute normal probabilities.

Using a standard normal distribution table, we can look up the area corresponding to a z-score of 0 and a z-score of 0.98 separately and then subtract the two areas to find the area between them.

The area under the standard normal distribution curve to the left of z = 0 is 0.5000 (by definition). The area under the curve to the left of z = 0.98 is 0.8365 (from the standard normal distribution table).

So the area under the standard normal distribution curve between z=0 and z=0.98 is approximately 0.3365.

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The correct statement is:

The t-statistic or t-ratio is used to test the statistical significance of each β_i in a regression model.

The t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean.

The formula for the t-statistic is as follows:

t = (sample mean - hypothesized population mean) / (standard error of the sample mean)

The t-statistic or t-ratio is used to test the statistical significance of each β_i (regression coefficient) in a regression model. It measures the ratio of the estimated coefficient to its standard error and is used to determine if the coefficient is significantly different from zero.

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D: "\(c_{1} = 10\) and \(c_{2} = 2\)" are programmer-defined constants for quadratic probing that cannot be used in a quadratic probing equation. Option D is correct answer.

The quadratic probing equation is defined as:

h (k, i) = (h′(k) + \(c_{1}\) * i + \(c_{2}\) * i^2) mod m,

where h′(k) is the hash value of key

k and m is the size of the hash table.

The constants \(c_{1}\) and \(c_{2}\) are programmer-defined constants that are used to compute the new hash index when a collision occurs in the hash table.

The given hash function is h(k) = k % 10.

Therefore, the hash value of any key will be between `0` and `9`.Now, let's check which of the given programmer-defined constants for quadratic probing cannot be used in a quadratic probing equation:

Option A: `c1 = 1 and c2 = 0`This option can be used in the quadratic probing equation. It means that linear probing is being used.

Option B: \(c_1 = 5\) and \(c_2 = 1\) This option can be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + 5i + i^2) mod m`.

Option C: \(c_1 = 1\) and \(c_2 = 5\) This option can be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + i + 5i^2) mod m`.

Option D: \(c_1 = 10\) and \(c_2 = 2\) This option cannot be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + 10i + 2i^2) mod m`.

Since \(c_{1}\) is greater than or equal to `m`, this equation will always result in a hash index that is greater than or equal to `m`. Therefore, it is not possible to use `\(c_{1}\)= 10` in the quadratic probing equation. Hence, the correct option is D.

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(a) The answer to the first question is option d. 25% of the original sample.

(b) The answer to the second question is option b. 12.5% of the original sample will be left after 9 minutes.

The half-life of a radioisotope refers to the amount of time it takes for half of a sample of the isotope to decay. To answer your first question, if the half-life is 2 minutes, after two half-lives, there will be 25% of the original sample left.

Here's how you can calculate it step-by-step:
- Start with 100% of the original sample.
- After the first half-life (2 minutes), half of the sample will have decayed, leaving 50% of the original sample.
- After the second half-life (another 2 minutes), half of the remaining sample will have decayed, leaving 25% of the original sample.

Therefore, the answer to the first question is option d. 25% of the original sample.

Now let's move on to the second question. If the radioisotope has a half-life of 3 minutes and you wait for 9 minutes, you can calculate the remaining amount using a similar approach.

- Start with 100% of the original sample.
- After the first half-life (3 minutes), half of the sample will have decayed, leaving 50% of the original sample.
- After the second half-life (another 3 minutes), half of the remaining sample will have decayed, leaving 25% of the original sample.
- After the third half-life (another 3 minutes), half of the remaining sample will have decayed, leaving 12.5% of the original sample.

Therefore, the answer to the second question is option b. 12.5% of the original sample will be left after 9 minutes.

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The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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Answer:

a). AB = 8 in

b). AB = 9.75 in

c). AC = 6.5 in

d). BC = 1.5 in

Step-by-step explanation:

a). Since, AB = AC + CB

   Length of AC = 5 in. and CB = 3 in.

   Therefore, AB = 5 + 3 = 8 in.

b). Given : AC = 6.25 in and CB = 3.5 in

   Therefore, AB = AC + CB = 6.25 + 3.5

   AB = 9.75 in.

c). Given: AB = 10.2 in. and BC = 3.7 in.

    AB = AC + BC

    AC = AB - BC

    AC = 10.2 - 3.7

    AC = 6.5 in

d). Given: AB = 4.75 in and AC = 3.25 in.

   BC = AB - AC

   BC = 4.75 - 3.25 = 1.5 in.

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

Answer:

11

Step-by-step explanation:

add 30 then 42 then 18 and divide it in to as many possible

Answer:

ok so the total number of cookies bella got is 30+42+18 = 90. so she has 3 boxes. so divide 90 by 3, we get 30. so if we put 30 cookies in each 3 boxes.

Answer:A

Step-by-step explanation: Nice pfp

Answer:

x =12

Step-by-step explanation:

combine like terms 32+ = -8 = 24 then divide 2x on each side  24/ 2x  which simipfy to 12

Answer:Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.

A) 2x - y = 26

2(18) - 10 = 26

36 - 10 = 26

26 = 26

Your answer is A.

I'll just do the rest to show that you the they are incorrect.

B) x + y = 18

18 + 10 = 18

28 ≠ 18

C) 2x - 2y = 36

2(18) - 2(10) = 36

36 - 20 = 36

16 ≠ 36

D) x - y = -28

18 - 10 = -28

8 ≠ -28

Your answer is A) 2x - y = 26.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2(18) - (10) = 26

36 - 10 = 26

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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880 were surveyed.

24% answered yes.

Multiply number of surveyed by percentage that said yes:

880 x 0.24 = 211.2

Since the answer has a decimal, the number of people would be the whole number above and below the decimal.

The answer is between 211 and 212

Answer:

Let the number of people answered "yes" be x

\(24\% \: of \: 880 \\ \frac{24}{100} \times 880 = 211.2 = 211(approx)\)

Using the concept of probability, we can infer that 15 students in a class of 25 are expected to be using smartphones to complete hw.

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability. The number of favorable results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(E) = Number of favorable outcomes/Total outcomes .

Given that, 4 out of 10 teenagers are not using smartphones for H.W.

To find out the number of students using smartphones in a class of 25 students:

4/10 = n/25

n = (4 × 25)/10

n = 100/10

n = 10

10 students will not be using smartphones.

Number of students who are using smartphone = 25-10

Number of students who are using smartphone = 15

Therefore, 15 students in a class of 25 are expected to be using smartphones to complete hw.

The complete question is "4 out of 10 teenagers surveyed say they are not using smartphones to help them complete hw assignments. assuming this survey is fairly accurate, how many students in a class of 25 would you expect to be using smartphones to complete hw?"

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Answer:

she got back 63 times

Step-by-step explanation:

Here, we want to know the number of times she is at bat

from the question, we are made to know that she strikes out twice after 9 times

So striking out 14 times, the number of times she has got back will be ;

14/2 * 9 = 63 times

Answer:

-2p/3+3

Step-by-step explanation:

In  quadratic equation  (-11)2 = 121, the solution is actually both x = 11 and x = -11.

What in mathematics is a quadratic equation?

x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might believe that x = 11, but keep in mind that x might also be negative because negative numbers can be squared.

In essence, each real number has both a positive and a negative square root.

Because (-11)2 = 121, the solution is actually both x = 11 and x = -11.

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\( {5}^{12} \times {5}^{8} \\ = {5}^{12 + 8} \\ = {5}^{20} \)

Therefore,

\( a) \: {25}^{20} ≠ {5}^{20} \)

\(b) ({25}^{5} ) ^{4} \\ = {25}^{5 \times 4} \\ = {25}^{20} \\ ( {25}^{5} )^{4} ≠ {5}^{20} \)

\(c) \: ( {5}^{3} . {5}^{2} ) ^{4} \\ = ({5}^{3 + 2}) ^{4} \\ = ({5}^{5} )^{4} \\ = {5}^{20} \)

\(d) \: {(5 ^{5}) }^{4} \\ = {5}^{5 \times 4} \\ = {5}^{20} \)

Answers:

\(c)( {5}^{3} . {5}^{2} {)}^{4} \\ d) {(5}^{5} ) ^{4} \)

Hope you could understand.

If you have any query, feel free to ask.

The finished quilt has dimensions of 7 feet by 27 feet and an area of 36 square feet.

To solve for the dimensions of the border, we can use a trial-and-error method or use a factorization method to find two numbers that multiply to 11. For example, we can use 1 foot and 11 feet as the length and width, respectively, which gives us:

Area of border = Length x Width

11 square feet = 1 foot x 11 feet

Therefore, the border is 1 foot wide on one side and 11 feet long on the other side.

Since the main design is a square with each side measuring 5 feet and the border is 1 foot wide on one side and 11 feet long on the other side, the total dimensions of the quilt are:

Length = Length of main design + 2 x Width of border

Length = 5 feet + 2 x 1 foot

Length = 7 feet

Width = Width of main design + 2 x Length of border

Width = 5 feet + 2 x 11 feet

Width = 27 feet

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Complete Question:

Maria makes a quilt. The main design is 5 feet long on each side. Then she adds a

border around the main design. The finished quilt has an area of 36 square feet.

What is the dimension of one side of the finished quilt?

The minimum possible value of\(|x-y| |y-z|\) is 4.

Let's start by considering the squares of the numbers x, y, and z. Since their squares form an arithmetic progression with a common difference of 2, we have the following equations:

\(y^2 - x^2 = 2z^2 - y^2 = 2\)

Expanding these equations, we get:

\((y + x)(y - x) = 2(z + y)(z - y) = 2\)

Since \(0 \leq x \leq y \leq z \leq 4\), we can conclude that \(x+y > 0\) and \(y+z > 0\).

Now, let's consider the expression \(|x-y| |y-z|\). We want to find the minimum possible value for this expression.

Sine \(x \leq y \leq z\), the factors \(|x-y|\) and \(|y-z|\) are both non-negative. Therefore, to minimize the expression, we need to minimize each factor individually.

From the equation \((y + x)(y - x) = 2\), we can see that \(y + x > 0\), which implies \(y > -x\). Similarly, from the equation \((z + y)(z - y) = 2\), we have \(z + y > 0\), which implies\(z > -y\).

Combining these inequalities, we get \(y > -x\) and \(z > -y\), which further simplifies to \(y > x\) and \(z > y\).

Therefore, the minimum possible value of\(|x-y| |y-z|\)occurs when\(x = 0\), \(y = 2\), and \(z = 4\), as this configuration satisfies the given conditions.

Substituting these values into the expression, we have \(|x-y| |y-z| = |0-2| |2-4| = 2 \cdot 2 = 4\).

Hence, the minimum possible value of \(|x-y| |y-z|\) is 4.

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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The is used as a measure of to overcome the range is influenced too much by .

?

are then selected as 3 points such that

they create four groups in the data, each groups approximately possessing 25% of the data.

(inter quartile range) is defined as the between third and first quartile.

Since, range is used as a measure of to overcome the difficult of the range.

The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.

Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by

Learn more about here:

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#

The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.

The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.

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the expression equivalent to 2x + 8 is (x+4) + (x+4)

using the commutative property we can say that

2x +8 = x + x + 8

also 2x + 8 = x + 4 + x + 4

hence 2x + 8 = (x+4) + (x+4)

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Answer:

Ok

Step-by-step explanation:

Go for it