Which of the answer choices could be the one missing data item for the following set, if the mode is 12?


7, 12, 9, 15, 12, 7, 9, 7, 12, 15

HELP I WILL GIVE BRAINLIEST
A. 15

B. 9

C. 7

D. 12

Answer:

−7−√2

Step-by-step explanation:

5−8√2− (−7√2+12)

−7−√2

Answer:

J. x = 1

Step-by-step explanation:

Write an equation based on the image of the scales.

3x + 6 = 9

Subtract 6.

3x = 3

Divide by 3.

x = 1

If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".

Answer:

your supposed to flip the sign for the less than or greater than sighs when dividing by a negative.

Step-by-step explanation:

-4x←20

x→-5

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Learn more about conversion here:

https://brainly.com/question/16851332

#SPJ1

Answer:

8 people

Step-by-step explanation:

Divide half by your new product everytime you divide.

132÷2 = 66

66÷2 = 33

33÷2 = 16.5

16.5÷2 = 8.25

Round to nearest whole number and you get 8. There will be 8 people left over after 4 rounds.

Answer:

Pa - Pb

Step-by-step explanation:

The mean of the distribution of sample differences will always be the difference between the population proportion, That is ; Pa - Pb ; This is because according to the central limit theorem which says the sampling distribution of sample means approaches a normal distribution as sample size gets larger irrespective if the shape of the Population distribution. Hence, the distribution of sample differences will follow a normal distribution and the mean will Hence be the difference in the population mean.

Using power series, we can approximate the definite integrals of \(x^2/(1+x^4) dx\) and\(tan^{-1} (x^2) dx\)from 0 to 0.4 to six decimal places as 0.154692 and 0.338765, respectively.

a. To approximate the definite integral of\(x^2/(1+x^4) dx\) from 0 to 0.4, we can use the power series expansion of\((1+x^4)^-1/4,\) which is given by:

\((1+x^4)^-1/4 = 1 - x^4/4 + 3x^8/32 - 5x^12/64 + ...\)

Integrating both sides with respect to x gives us:

∫\((1+x^4)^-1/4 dx = x - x^5/20 + x^9/72 - x^13/320 + ...\)

Multiplying both sides by \(x^2\)and integrating from 0 to 0.4 gives us the approximation:

∫\(0.4 x^2/(1+x^4) dx ≈ 0.154692\)

b. To approximate the definite integral of \(tan^{-1} (x^2)\) dx from 0 to 0.4, we can use the power series expansion of\(tan^{-1} (x)\), which is given by:

\(tan^{-1} (x) = x - x^3/3 + x^5/5 - x^7/7 + ...\)

Substituting x^2 for x and integrating both sides with respect to x gives us:

\(\int\limits \, tan^{-1} (x^2) dx = x^3/3 - x^5/15 + x^7/63 - x^9/255 + ...\)

Evaluating this expression from 0 to 0.4 gives us the approximation:

\(\int\limits\, 0.4 tanx^{-1} (x^2) dx\) ≈ 0.338765

Learn more about power series here:

https://brainly.com/question/29896893

#SPJ11

The information that a slope of 0.416 represents in the scatterplot is the crime index will increase 416 for every 1000 increment in the population.

The information that an intercept of -669.96 represents in the scatterplot is the value of the crime index when the population is zero.

A graph is a pictorial representation of data. It is used by as many fields that uses data. Graphs helps to make information that the data represents easier to understand the relationship existing within the variables

The graph plots the crime index against the population. The slope is the represents how the crime index will behave with respect to the population. While the intercept is the point where the graph intercept the y axis which represents the crime index

Read more on graphs here: https://brainly.com/question/19040584

#SPJ1

Answer:The third statement is true: The graph of y=log (x) + 4 is the graph of y=log(x) translated 4 units up.

Step-by-step explanation:

Using translation concepts, it is found that the graph of y=logx - 4 is the graph of y = logx translated 4 units right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

here, we have,

In this problem, the parent function is:

y=logx

The translated function is given by:

y=logx - 4

now, here, we have to find the translation, which is done in the transformation of y=logx to y=logx - 4

here, we noticed that,

The change was in the domain, in which x→x-4 , which means that the function was translated 4 units right.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ7

Answer:

1000 times

First, we estimated the Sun's width in terms of the Earth's breadth, then the Star's width in terms of the Earth's breadth, and for comparison, we did simple division, which revealed that the Star KW Sagittarii is 1000 times wider than the Sun.

The probability of out of any two students chosen at random, one student will be absent while the other is present is 29/450 or approximately 0.064.

Let's denote the event that a student is absent as A and the event that a student is present as P.

The probability of a student being absent is P(A) = 1/30, which means the probability of a student being present is P(P) = 29/30.

We want to find the probability that out of any two students chosen at random, one student will be absent while the other is present.

There are two possible cases for this event:

The first student is absent and the second student is present

The first student is present and the second student is absent

Let's calculate the probability of each case separately:

Case 1: The probability of the first student being absent is P(A) = 1/30. The probability of the second student being present is P(P) = 29/30. Therefore, the probability of the first student being absent and the second student being present is:

P(A and P) = P(A) × P(P) = (1/30) × (29/30) = 29/900

Case 2: The probability of the first student being present is P(P) = 29/30. The probability of the second student being absent is P(A) = 1/30. Therefore, the probability of the first student being present and the second student being absent is:

P(P and A) = P(P) × P(A) = (29/30) × (1/30) = 29/900

The total probability of one student being absent and the other being present is the sum of the probabilities of the two cases:

P = P(A and P) + P(P and A) = (29/900) + (29/900) = 58/900

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

P = 29/450

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

Given that,

The new Malthusians worry that ______ of the population will lead to a scarcity of food.

We have to fill the blank.

We know that,

A pattern of data that exhibits larger increases over time, forming the curve of an exponential function, is said to exhibit exponential growth.

The formula for the exponential growth is

V=S×(1+R\()^{T}\)

The starting value, S, of an initial starting point subject to exponential growth can be multiplied by the sum of one plus the interest rate, R, raised to the power of T, or the number of periods that have passed, to get the current value, V.

Therefore, Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

To learn more about exponential visit: https://brainly.com/question/12490064

#SPJ4

Answer:

The mean absolute deviation = 3.5°F

Step-by-step explanation:

The sum of the given temperatures, ∑T, is found as follows;

∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F

The number of days, n, over which the temperature was tracked = 8 days

Therefore, the mean, \(\bar x\), of the data set = ∑T/n = 480°F/8 = 60°F

The mean absolute deviation is given by the following formula;

\(Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}\)

Therefore, we have;

66 - 60 = \(\left | 6\right |\) = 6

57 - 60 = \(\left | -3\right |\) = 3

61 - 60 =  \(\left | 1\right |\) = 1

65 - 60 =  \(\left | 5\right |\) = 5

54 - 60 =  \(\left | -6\right |\) = 6

62 - 60 =  \(\left | 2\right |\) = 2

59 - 60 =  \(\left | -1\right |\) = 1

56 - 60 =  \(\left | -4\right |\) = 4

The mean absolute deviation is therefore;

The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.

Answer:

25 mph

Step-by-step explanation:

The formula for speed is s = d/t.

s - speed

d - distance

t - time

For your problem, 375 mi is the distance and 15 hrs is the time. When you divide 375/15, you get an answer of 25. The unit of measure is miles per hour or mph. In the end, Taylor's speed is 25 mph. Hope this helps!!

The null hypothesis in a chi-square test for goodness of fit involves frequencies for the entire population, not just proportions or frequencies for the sample. c.

In a chi-square test for goodness of fit, the null hypothesis specifies the expected frequencies or counts for different categories in the entire population being studied.

The test compares the observed frequencies in the sample to the expected frequencies under the null hypothesis to determine if there is a significant difference between the observed and expected distributions.

The chi-square test for goodness of fit assesses whether the observed frequencies in the sample deviate significantly from the expected frequencies specified by the null hypothesis for the entire population. The test evaluates if the observed data supports or contradicts the null hypothesis, which assumes that the observed frequencies follow a specific distribution or proportions.

The null hypothesis in a chi-square test for goodness of fit defines the predicted frequencies or counts for various categories in the total population under investigation.

The test determines if there is a significant discrepancy between the observed and predicted distributions by comparing the observed frequencies in the sample to the anticipated frequencies under the null hypothesis.

The chi-square test for goodness of fit determines if the sample's observed frequencies differ noticeably from the null hypotheses' predicted frequencies for the overall population.

The null hypothesis, which holds that the observed frequencies follow a particular distribution or proportions, is assumed in the test, and it is determined if the observed data supports or refutes it.

For similar questions on chi-square test

https://brainly.com/question/4543358

#SPJ8

Fer Vil, this is the solution:

0.0000653 in scientific notation is:

6.53 (The number between 1 and 10)

The power of 10 is -5 because we have to move the decimal point one to the right of the four zeros.

Therefore,

0.0000653 = 6.53 * 10^-5

The truth table for (p ∧ q) ∨ ( ∼ p ∧ ∼ q) a tautology, a contradiction is as follows:

p  q   |   p ∧ q    | ∼ p ∧ ∼ q  |  (p ∧ q) ∨ ( ∼ p ∧ ∼ q)
---|---|---|---
T | T | F |  T
T | F | T |  T
F | T | T |  T
F | F | T |  T

Therefore, (~p ∨ q) ∨ (p ∧ ~q) is a tautology.

5. The truth table for ∼ (p ∨ q) is as follows:

p  q   |  p ∨ q    | ∼ (p ∨ q)  |  ∼ p ∧ ∼ q
---|---|---|---
T | T | F |  F
T | F | F |  F
F | T | F |  F
F | F | F |  T

Therefore, ∼ (p ∨ q) is logically equivalent to ∼ p ∧ ∼ q. This law is called the De Morgan's Law.

6a. The truth table for p → q is as follows:

p  q   |  p → q  |  ∼ p ∨ q
---|---|---
T | T | T
T | F | F
F | T | T
F | F | T

Therefore, p → q and ∼ p ∨ q are logically equivalent.

6b. The truth table for ∼ (p → q) is as follows:

p  q   |  p → q  |  ∼ (p → q)  |  p ∧ ∼ q
---|---|---|---
T | T | F | F
T | F | T | F
F | T | T | F
F | F | T | T

Therefore, ∼ (p → q) and p ∧ ∼ q are not logically equivalent.

Learn more about contradiction:

https://brainly.com/question/30459584

#SPJ11

Answer:

b

Step-by-step explanation:

It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.

6 rats eat 6 identical pieces of cheese in 6 hours.

Assuming rats eat at the same rate,

3 pieces of cheese last three rats?

It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.

Therefore, six rats eat six identical pieces of cheese in six hours and 3 rats eat 3 identical pieces of cheese in 3 hours.

Learn more about same rate here;

https://brainly.com/question/26827735

#SPJ4

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

To know more about probability follow the link:

https://brainly.com/question/251701

#SPJ11

Answer: IQR = 16

Step-by-step explanation:

Given the following data:

Cost of concert :

CITY : Q, R, S, T, U, V, W, X, Y, Z

Price : 35,36,42,38, 24,29,25, 44,49, 26

Interquartile range (IQR) = Q3 - Q1

Where,

Q3 = the upper quartile

Q1 = lower quartile

Rearranging the data:

24,25,26,29,35,36,38,42,44,49

Q3 = 42

Q1 = 26

IQR = (42 - 26) = 16

Answer:

18 (for the IQR)

Step-by-step explanation:

Well, follow the equation the other person did. You'd get the right answer if you do the stuff right. And for people where it has another part to it, the answer would be D.

I hope this helps :)

Answer:

(-1, 9)

Step-by-step explanation:

given

\(y = - 3x + 6 \\ and \\ y = 9 \\ then \: we \: need \: to :\ find \: x \: so \: that \: when \: plugged \\ to \: - 3x + 6 \: the \: result \: is \: 9 \\ by \: transitive \: rule \\ y = 9 = - 3x + 6 \\ 9 = - 3x + 6 \: (substract \: both \: sides \: with \: 6) \\ 3 = - 3x \: (divides \: both \: sides \: with \: - 3) \\ - 1 = x\)

Answer:

the answer is c

Step-by-step explanation:

because i just took the test

PQR = 150°

Hi there !

PQR = PQS + SQR

12x - 6 = 16 + 9x + 17

12x - 9x = 16 + 17 + 6

3x = 39

x = 13

PQR = (12×13 - 6)° = (156 - 6)° = 150°

Good luck !

The function that is odd among the listed functions is

Rotational symmetry about the origin exists for odd functions. By changing x to -x and calculating f, we can determine algebraically whether a function is even, odd, or neither (-x).

The function is even if f(-x) = f(x). and The function is odd if f(-x) = -f(x).

Sine functions are odd functions and hence is the one that will display the algebraic property that typifies odd functions

Learn ore about odd functions:

https://brainly.com/question/29946898

#SPJ1

From the units conversion, Jack will get $12.5, more dollars in case of exachanging of £250 to dollars in the post office than in the travel agent.

Unit conversion is a more than one step process that involves multiplication or division by a numerical factor and this factor is called conversion factor. It expresses the same property as a different unit of measurement. For example time can be expressed in hours, minutes or second. Jack has to different ways to exchange the £250 for dollars that is post office and travel agent. We have to determine the where he get more and how much more from other. Now, in case of post-office, unit conversion

1 pound = 1.29 dollars

So, 250 pounds( £250) = 250× 1.34 ( conversion factor)

= $335

In case of travel agent, 1 pound = 1.29 dollars

so, 250 pounds( £250) = 250× 1.29( conversion factor)

= $322.5

Therefore, he will result more dollars in exchange with post office. Now, substracts the results of both cases for determining the how much more dollars he will take from post office. That is

= $335 - $322.5

= $12.5

Hence, the required value is $12.5.

For more information about units conversion, visit :

https://brainly.com/question/4158962

#SPJ4

Complete question:

Jack wants to exchange 250 for dollars how many more dollars would he get in the post office than in the travel agent

Travel agent 1 pound = 1. 29 dollars

Post office 1pound = 1. 34 dollars

Jack will receive $12.5 as a result of the units conversion, which is more money if he exchanges $250 for dollars at the post office as opposed to a travel agency.

Unit conversion is a multi-step procedure that requires multiplying or dividing by a conversion factor, which is a numerical factor. The same attribute is expressed using a different unit of measurement. Time, for instance, can be measured in hours, minutes, or seconds. Jack has two options for converting the $250 into dollars: the post office and a travel agency. We must ascertain where and how much extra he receives from others. Now, unit conversion in the context of the post office

1 pound = 1.29 dollars

So, 250 pounds( £250) = 250× 1.34 ( conversion factor)

= $335

In case of travel agent, 1 pound = 1.29 dollars

so, 250 pounds( £250) = 250× 1.29( conversion factor)

= $322.5

He will therefore receive more money from the post office in exchange. In order to calculate how much more money he will take from the post office, he now subtracts the outcomes of both cases. Which is

= $335 - $322.5

= $12.5

Hence, the required value is $12.5.

For more information about units conversion, visit :

brainly.com/question/4158962

#SPJ4

Complete question:

Jack wants to exchange 250 for dollars how many more dollars would he get in the post office than in the travel agent:

Travel agent 1 pound = 1. 29 dollars

Post office 1pound = 1. 34 dollars

Answer:

-4

Step-by-step explanation:

you have to do -11+7

hope this helps

-mercury

Answer:

d

Step-by-step explanation:

v+21

\(v + 21 \leqslant 0.15\)

The inequality is v+ 21 ≤ 0.15

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within 0.15 ounces of that amount.

So,

if the volume is v then the situation can be represented as

v+ 21 ≤ 0.15

As, the actual amount  is within 0.15 ounces of that amount.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

The length BC for the similar triangle ∆ABC is derived to be equal to 20.

The triangles ABC and EBD are similar, this implies that the length AC of the smaller triangle is similar to the length ED of the larger triangle

similarly, BC is similar to BD so;

BC/(8 + BC) = 10/14

14BC = 10(8 + BC) {cross multiplication}

14BC = 80 + 10BC

14BC - 10BC = 80 {collect like terms}

4BC = 80

BC = 80/4 {divide through by 4}

BC = 20.

Therefore, the length BC for the similar triangle ∆ABC is derived to be equal to 20

Read more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

Answer:

.

Step-by-step explanation: