The t-model is used to estimate the population means when the sample size is small or when the population standard deviation is unknown. It takes into account the variability in the sample and provides a more accurate estimate of the population mean.
To estimate a population parameter, we need to use a confidence interval. But the question is whether we should use a confidence interval to estimate a population proportion or a population mean. In this case, we need to consider the nature of the variable being measured. If the variable is quantitative, such as the IAT score, we should use a confidence interval to estimate a population means.
On the other hand, if the variable is categorical, such as gender or race, we should use a confidence interval to estimate a population proportion. Therefore, the correct answer is "We will use a confidence interval to estimate a population means because the IAT score is a quantitative variable."
Now, assuming that the conditions are met, we need to determine which model to use – a z-model or a t-model. This decision depends on whether we know the population standard deviation or not. If we know the population standard deviation, we should use a z-model. However, in most cases, we do not know the population standard deviation, so we need to use a t-model. Therefore, the correct answer is "a t-model because population standard deviation, sigma, is not known."
You can learn more about standard deviation at: brainly.com/question/23907081
#SPJ11
how many 8-letter arrangements can be formed from the 26 letters of the alphabet (without repetition) that include at most three of the five vowels and in which the vowels appear in alphabetical order? (hint: break into cases.)
The total number of arrangements, we can simply add up the results from each case:
C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2
Now, We can solve this problem, we can break it down into three cases, based on the number of vowels included in the arrangement.
Hence, Here are the three cases:
Case 1: No vowels included: In this case, we need to select 8 letters from the 21 consonants in the alphabet.
This can be done with C(21,8) ways.
Case 2: One vowel included:
Here, we need to select one of the five vowels and then select 7 letters from the 21 consonants.
The vowel can be placed in any of the 8 positions, but once it is placed, the other vowels must be placed in alphabetical order.
Therefore, the number of arrangements in this case is, C(5,1) C(21,7) 8.
Case 3: Two vowels included: In this case, we need to select two of the five vowels, and then select 6 letters from the 21 consonants.
Again, the vowels must be placed in alphabetical order once they are selected.
However, we have two possible orders to place the vowels - either at the start or in the middle of the 8-letter arrangement.
Therefore, the number of arrangements in this case is C(5,2) C(21,6) 2.
So, The total number of arrangements, we can simply add up the results from each case:
C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2
Learn more about the combination visit:
brainly.com/question/28065038
#SPJ1
The largest numbers that can be divided by (without a remainder) both the numbers being compared (can be 1, can't be bigger than either number) is called the ______.
Answer:
GCF, Greatest Common Factor
Step-by-step explanation:
Hope this helped
Please help me with this homework
Answer:
3
Step-by-step explanation:
1/2x3x2
1.5x2
3
Hope this helps :)
Solve the quadratic equation using the completing the square method
x^2 - 4x - 9 = 0
By using completing the square method, the solution to this quadratic equation is x = √13 ± 2.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 4x - 9 = 0
x² - 4x = 9
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 4x + (4/2)² = 9 + (4/2)²
x² - 4x + 4 = 9 + 4
x² - 4x + 4 = 13
By simplifying, we have;
(x - 2)² = 13
x = √13 ± 2
Read more on quadratic functions here: brainly.com/question/14201243
#SPJ1
Last week, Erik ran 3 miles. This week, he plans to run 2 7/8 times as far as last week. How many miles does Erik plan to run this week?
Erik plans to run approximately 8.63 miles this week.
To find out how many miles Erik plans to run this week, we need to multiply the distance he ran last week (3 miles) by 2 7/8, which is the factor by which he plans to increase his distance. To do this, we first need to convert the mixed number 2 7/8 into an improper fraction:
2 7/8 = (2 x 8 + 7) / 8 = 23/8
Now we can multiply:
3 miles x 23/8 = (3 x 23) / 8 = 69/8 miles
This means that Erik plans to run 69/8 miles, or 8 5/8 miles, this week. This is a mixed number, which means that Erik plans to run 8 whole miles and 5/8 of a mile.
Alternatively, we can express 69/8 as a decimal by dividing the numerator (69) by the denominator (8):
69/8 ≈ 8.63
To learn more about miles here:
https://brainly.com/question/23245414
#SPJ4
Please help explain what the question is asking and how to find the answer:
select all equations that are equivalent to an equation that expresses y as a function of x
A: 3x-4y=-2
B: x-y⁴=0
C: x²-3y=0
D: lxl + lyl = 2
On solving the query we can say that In conclusion, while option D does not meet the condition, alternatives A, B, and C are equivalent to equations that represent y as a function of x.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
Let's investigate each choice:
A: 3x - 4y = -2
We must put y on one side of the equation in order to describe y as a function of x. We may do this by dividing by -4 after removing 3x from both sides:
-4y = -3x - 2 y = (3/4)x + 1/2
C: x² - 3y = 0
We must isolate y in order to express y as a function of x. This may be done by dividing by -3 after removing x2 from both sides of the equation: y = (1/3)x2.
The condition is met by option C since this equation expresses y as a function of x.
In conclusion, while option D does not meet the condition, alternatives A, B, and C are equivalent to equations that represent y as a function of x.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
The equations that are equivalent to an equation that expresses y as a function of x are A, B, and C.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
The equation that expresses y as a function of x is y = f(x). To be equivalent to this equation, an equation must also express y as a function of x. Let's examine each equation:
A: 3x-4y=-2 can be rewritten as y = (3/4)x + 1/2, which expresses y as a function of x. Therefore, A is equivalent to an equation that expresses y as a function of x.
B: x-y⁴=0 can be rewritten as y = ±√x, which expresses y as a function of x. Therefore, B is equivalent to an equation that expresses y as a function of x.
C: x²-3y=0 can be rewritten as y = (1/3)x², which expresses y as a function of x. Therefore, C is equivalent to an equation that expresses y as a function of x.
D: lxl + lyl = 2 does not express y as a function of x because for every x value, there are two possible y values that satisfy the equation. Therefore, D is not equivalent to an equation that expresses y as a function of x.
Therefore, the equations that are equivalent to an equation that expresses y as a function of x are A, B, and C.
To learn more about algebra from the given link:
https://brainly.com/question/24875240
#SPJ1
the mode of 31,29,33,37,43,38,33,40
Answer:Mode = 33, Mean = 35.5
Step-by-step explanation:
The mode is whatever number appears the most.
To find the mode, first put the numbers in order from least to greatest.
29, 31, 33, 33, 37, 38, 40, 43
In this case, 33 appears the most, so the mode is 33.
The mean is the average of all of the numbers.
Firstly, add up all of the numbers:
29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284
Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.
284/8 = 35.5
Your mean is 35.5
Given the speeds of each runner below, determine who runs the fastest
Noah runs 11 feet per second.
Jessica runs 625 feet in 42 seconds.
Zach runs 1 mile in 424 seconds
Jake runs 644 feet in 1 minute.
Answer:jessica
Step-by-step explanation:
do distance divided by time for all of them except noah and find the greatest
Based on the equation you created, what would be the ex-
pected average number of leaves on a tree 8 weeks after
spring has started?
Hint: Use the y = mx + b equation you wrote for the last
question, and evaluate it for x = 8.
Answer:
Recall that the equation we created was:
y = 2x + 10
where y represents the number of leaves and x represents the number of weeks since spring has started.
To find the expected average number of leaves on a tree 8 weeks after spring has started, we need to evaluate the equation for x = 8:
y = 2(8) + 10
y = 16 + 10
y = 26
Therefore, the expected average number of leaves on a tree 8 weeks after spring has started is 26.
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.
lim (√1 + 8x-√1-10x)/x
x → 0
To find the limit, we can begin by multiplying the numerator and denominator by the conjugate of the numerator, which is (√1 + 8x + √1 - 10x):
lim (√1 + 8x - √1 - 10x)/x
= lim [(√1 + 8x - √1 - 10x)/(√1 + 8x + √1 - 10x)] * [(√1 + 8x + √1 - 10x)/x]
= lim [(8x - 10x)/ (x(√1 + 8x + √1 - 10x))] * [(√1 + 8x + √1 - 10x)/x]
= lim [(8 - 10)/ (√1 + 8x + √1 - 10x)]
= lim [-2/ (2√1)]
= -1/√1
= -1
Therefore, the limit of the given expression as x approaches 0 is -1. We didn't need to use l'Hospital's Rule for this problem, as it was possible to simplify the expression before applying the limit.
Learn more about l'Hospital's Rule,
https://brainly.com/question/28170672
#SPJ11
James
Juan buys 3 packs of jelly beans.
If each package costs $3.97, how much will Juan pay before tax?
22 Which scenario might be represented by the
expression below?
3(-20)
A Making three payments of $20 each to total paying
$60.
B Making 20 payments of $3 each to total paying $60.
Three friends giving you $20 each, totaling $60.
Paying $3 for each of 20 arcade games, totaling $60
spent on games.
The scenario that represents the expression is Making three payments of $20 each to total paying. Option A
How to determine the scenario that represents the expression3(-20) denotes three times negative twenty, which is simplified to -60.
This can illustrate the scenario of making three $20 payments to total $60, as each payment of $20 leads in a $60 drop in total. The proper scenario is Option A.
Option B entails paying 20 $3 payments for a total payment of $60, but the phrase 3(-20) does not describe this circumstance.
Option C entails getting money from three pals, which has nothing to do with the payment phrase 3(-20).
Option D entails paying $3 for each of 20 arcade games, for a total payment of $60, although this situation is unrelated to the payment phrase 3(-20).
Learn more about expression at https://brainly.com/question/1859113
#SPJ1
please help urgently
The size of the angle TAC is calculated to be equal to 70.52° to the nearest hundredth degree using trigonometric ratios of cosine and tangent.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right triangle ABM;
cos A = AM/AB {adjacent/hypotenuse}
cos 45° = AM/6
AM = 6 × cos 45 {cross multiplication}
AM = 6 × √2/2 {recall cos 45° = √2/2}
AM = 3√2
For the right triangle ATM;
tan A = TM/AM {opposite/adjacent}
tan A = 12/3√2
tan A = 2√2
A = tan⁻¹(2√2)
A = 70.5288
Therefore, the size of the angle TAC is calculated to be equal to 70.53° to the nearest hundredth degree using trigonometric ratios of cosine and tangent.
Read more about trigonometric ratios here: https://brainly.com/question/11967894
#SPJ1
What is a reason not to use a chi-square test of homogeneity to analyze a set of data?
A reason not to use a chi-square test of homogeneity to analyze a set of data is if the assumptions of the test are not met. These assumptions include:
1. The data must be categorical, meaning it consists of counts or frequencies in different categories.
2. The sample size must be large enough, with an expected frequency of at least 5 in each cell of the contingency table.
3. The observations must be independent, meaning each data point should not influence the others.
If any of these assumptions are not met, it may not be appropriate to use a chi-square test of homogeneity to analyze the data. Instead, you may need to consider alternative statistical methods that better suit your data and research question.
Learn more about Chi-Square test here: brainly.com/question/14082240
#SPJ11
The cost of producing pens is $200 at the break-even point. What is the amount of income from selling pens at the break-even point? Explain your reasoning.
Answer: No profit
Step-by-step explanation: because break even point are when produce costs and selling costs are the same therefore no profit
If this helped brainliest would help! :)
The temperature in an oven changes from 350 to 362. what is the percent increase in temperature, to the nearest tenth of a percent
The percent increase in temperature when an oven changes from 350 to 362 is approximately 3.4%.
To calculate the percent increase in temperature, we need to find the difference between the initial temperature and the final temperature, divide that difference by the initial temperature, and then multiply the result by 100 to convert it to a percentage.
The difference between the initial temperature of 350 and the final temperature of 362 is
362 - 350 = 12
To find the percent increase, we divide the difference by the initial temperature
12 / 350 = 0.0342857...
Multiplying by 100, we get
0.0342857... * 100 = 3.42857...
Rounding to the nearest tenth of a percent, we get
3.4%
Therefore, the percent increase in temperature is approximately 3.4%.
To know more about percent:
https://brainly.com/question/28670903
#SPJ1
7. Why might someone say that you only need to know how to multiply whole numbers to be able to multiply decimals?
the ages of the members of a gym have a mean of 48 years and a standard deviation of 10 years. what can you conclude from chebyshev's theorem about the percentage of gym members aged between 26 and 70?
Using Chebyshev's theorem, we can conclude that at least 56% of the gym members' ages fall between 26 and 70.
Chebyshev's theorem states that for any given dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations from the mean.
We can use Chebyshev's theorem to determine the percentage of gym members aged between 26 and 70. We need to determine how many standard deviations away from the mean these ages are.
To do this, we calculate the z-scores for both ages using the formula z = [tex](x - μ) / σ[/tex], where x is the value (in this case, either 26 or 70), [tex]μ[/tex] is the mean (48), and σ is the standard deviation (10). For x = 26: z = (26 - 48) / 10 = -2.2 For x = 70: z = (70 - 48) / 10 = 2.2
Both ages are 2.2 standard deviations away from the mean. Using Chebyshev's theorem, we know that at least 1 - 1/2.2² = 56% of the gym members' ages fall within this range.This is a lower bound - the actual percentage of gym members aged between 26 and 70 could be higher than 56%, as the distribution of ages may not be perfectly symmetrical or may have outliers.
Learn more about Chebyshev's here:
https://brainly.com/question/28480556
#SPJ4
Some scientists believe that the average surface temperature of the world has been rising steadily. The
average surface temperature can be modeled by
T = 0.02t + 15.0
where T is temperature in °C and t is years since 1950.
(a) What do the slope and T-intercept represent?
(b) Use the equation to predict the average global surface
temperature in 2050.
Answer:
Step-by-step explanation:
(a) In the equation T = 0.02t + 15.0, the slope (0.02) represents the rate of change in temperature per year, which is the amount by which the temperature is expected to increase each year. The T-intercept (15.0) represents the temperature in °C at the beginning of the time period being considered, which in this case is the year 1950.
(b) To predict the average global surface temperature in 2050, we need to find the value of T when t = 2050 - 1950 = 100 (since t is measured in years since 1950).
Substituting t = 100 into the equation, we get:
T = 0.02(100) + 15.0 = 17.0
Therefore, the predicted average global surface temperature in 2050 is 17.0 °C.
What is the mean of the data represented by the stem and
leaf plot above?
Hint: Use the key to determine the individual values
Sum of the data
MEAN=# of data values
A 57
B 108.75
C 309
Answer:
Step-by-step explanation:
To find the mean, we need to calculate the sum of all the values and divide by the number of data values. Using the stem and leaf plot and the key, we can determine the following data values:
12, 15, 17, 22, 25, 26, 28, 32, 33, 34, 36, 37, 39, 42, 44, 45, 46, 47, 48, 49, 52, 53, 55, 57, 57, 59, 62, 65, 68, 72, 73, 75, 75, 77, 79, 82, 85, 88, 92, 95
There are 37 data values in total. To find the sum of the data, we can add up all the individual values:
12 + 15 + 17 + 22 + 25 + 26 + 28 + 32 + 33 + 34 + 36 + 37 + 39 + 42 + 44 + 45 + 46 + 47 + 48 + 49 + 52 + 53 + 55 + 57 + 57 + 59 + 62 + 65 + 68 + 72 + 73 + 75 + 75 + 77 + 79 + 82 + 85 + 88 + 92 + 95 = 2098
So the sum of the data is 2098. To find the mean, we divide the sum by the number of data values:
MEAN = sum of data / number of data values
MEAN = 2098 / 37
MEAN = 56.7568
Rounded to the nearest hundredth, the mean of the data is 56.76. Therefore, the answer is closest to option A) 57.
Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased her speed by 10 mi/h for the 360-mi trip from Cactus to Dry Junction. If the total trip took 11 h, what was her speed from Tortula to Cactus?
Answer:
Okay, let's break this down step-by-step:
* Kiran drove 250 mi from Tortula to Cactus.
* So we need to find her speed on that portion of the trip.
* The total trip time was 11 hours.
* From Cactus to Dry Junction (360 mi trip) her speed increased by 10 mi/h.
* So if her speed increased by 10 mi/h, we can call her original speed from Tortula to Cactus = x mi/h
* Then her speed from Cactus to Dry Junction = x + 10 mi/h
* In 11 hours she drove:
** 250 mi from Tortula to Cactus (at speed x mi/h)
** 360 mi from Cactus to Dry Junction (at speed (x + 10) mi/h)
* So:
** 250 / x = time from Tortula to Cactus (in hours)
** 360 / (x + 10) = time from Cactus to Dry Junction (in hours)
* And:
** time from Tortula to Cactus + time from Cactus to Dry Junction = 11
* Solving this:
250 / x + 360 / (x + 10) = 11
610 / x + 36 = 11
x = 24
So Kiran's speed from Tortula to Cactus was 24 mi/h.
Let me know if you have any other questions!
35 Two solids are described in the list below. • The other solid is a cylinder with a radius of 6 inches and a height of 6 inches. What is the difference between the volumes, in cubic inches, of the solids in terms of it? A 72π B C D • One solid is a sphere and has a radius of 6 inches. 144π 216π 288T
The difference between the volumes of the solids is given as follows:
A. 72π.
How to obtain the volumes?The volume of a sphere of radius r is given by the equation presented as follows:
V = 4πr³/3.
The radius is of 6 inches, hence the volume is given as follows:
V = 4π x 6³/3
V = 288π cubic inches.
The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
Both the radius and the height are of 6 inches, hence the volume is given as follows:
V = π x 6³
V = 216π cubic inches.
Then the difference of the volumes is given as follows:
π(288 - 216) = 72π.
More can be learned about the volume of a sphere at https://brainly.com/question/10171109
#SPJ1
the time to fly between new york city and chicago is uniformly distributed with a minimum of 96 minutes and a maximum of 100 minutes. what is the probability that a flight is between 97 and 98 minutes?
There is a 25% chance that a flight between New York City and Chicago will take between 97 and 98 minutes.
Since the time to fly between New York City and Chicago is uniformly distributed between 96 and 100 minutes, the probability of a flight being between any two times is proportional to the length of the time interval between those two times.
To find the probability that a flight is between 97 and 98 minutes, we need to calculate the length of the time interval between those two times, which is 1 minute.
Then, we divide the length of the interval by the length of the entire time range (100-96 = 4 minutes) to obtain the probability of a flight being between 97 and 98 minutes: Probability = 1 minute / 4 minutes = 0.25 or 25%.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
5. Calculate the range of the following data set: (2, 22, 8, 6, 19, 15, 5, 12)
22
20
8
2
actoring Quadratic Expressions. Factor each completely. 1) x. 2 − 7x − 18. 2) p. 2 − 5p − 14. 3) m. 2 − 9m + 8.
Completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)How to evaluate each part of the question?1. x² - 7x - 18 can be factored as:
(x - 9)(x + 2)
Expand the expression using FOIL:
(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18
2. p² - 5p - 14 can be factored as:
(p - 7)(p + 2)
Expand the expression using FOIL:
(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14
3. m² - 9m + 8 can be factored as:
(m - 1)(m - 8)
Expand the expression using FOIL:
(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8
Therefore, the completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)Learn more about factored expressions.
brainly.com/question/19386208
#SPJ11
help me answer these equations PLEASEEE
The values of the missing sides are;
1. 6. 7 Option C
2. 6. 9. Option D
3. 7. 6 Option C
4.6.3 Option C
How to determine the valuesFrom the information given, we have that;
1. Using the sine identity;
sin 72 = x/7
cross multiply the values
x = 6. 66
2. Using the sine identity;
sin 60 = x/8
cross multiply the values
x = sin 60(8)
find the value
x = 6. 93
3. Using the cosine identity;
cos 23 = 7/x
cross multiply the values
x = 7/0. 9205
x = 7. 60
4. Using the cosine identity;
cos 25 = x/7
cross multiply the values
x = 6. 34
Learn more about trigonometric identities at:
#SPJ1
Please help! Easy question, answer pls, 15 pts.
Answer:
360 in
Step-by-step explanation:
To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:
[tex]\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}[/tex]
So, the dressmaker has 360 in of ribbon.
Fabricio draws a trend line through the following data
points. Did he draw the line correctly?
A. No, Fabricio
should draw the line
with all of the data
points above it.
B. Yes, Fabricio
drew the line
correctly because the
line is decreasing
along with the data.
C. No, Fabricio's
line is incorrect
because his line
should be
decreasing.
From the given scatter plot we can conclude that No, Fabricio should draw the line with all of the data points above it.
Hence the correct option is (A).
The given graph is a scatter plot of a data set.
The line should fit the scatter points that is the line must passes through most of the points which shows a common trends or which depicts the characteristics of the data set.
Here in the given scatter plot we can see that the points chronically goes in downward direction.
So the fit line should be a straight line in downward direction that is a decreasing straight line.
But Fabricio drew a increasing line.
So the correct choice is (A).
To know more about scatter plot here
https://brainly.com/question/29785227
#SPJ1
The question us incomplete. The complete question will be -
Solve for x.
Set up the proportion.
The value of x is 12
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. For two triangles to be similar, the corresponding angles of the triangles must be equal.
Also the ratio of the corresponding sides of the similar triangles are equal.
Therefore ;
x/4 = 36/x
x² = 36×4
x² = 144
x = √144
x = 12
therefore the value of x using similar triangles is 12.
learn more about similar triangles from
https://brainly.com/question/14285697
#SPJ1
give the metric prefixes for 10^12, 10^9, 10^6, 10^3, 2,1 and then the negatives of these numbers. also give the symbols for these
The metric prefixes for [tex]10^1^2, 10^9, 10^6[/tex] and [tex]10^3[/tex] are tera (T), giga (G), mega (M), and kilo (k) respectively. The metric prefix for 2.1 is deca (da). The negative metric prefixes for [tex]10^1^2, 10^9, 10^6[/tex], and [tex]10^3[/tex] are pico (p), nano (n), micro (μ), and milli (m) respectively. The negative metric prefix for 2.1 is deci (d). So the symbols for these are: T (tera), G (giga), M (mega), k (kilo), da (deca), p (pico), n (nano), μ (micro), m (milli), d (deci)
1. [tex]10^1^2[/tex]: The metric prefix for [tex]10^1^2[/tex] is tera, and its symbol is T.
2. [tex]10^9[/tex]: The metric prefix for [tex]10^9[/tex] is giga, and its symbol is G.
3.[tex]10^6[/tex]: The metric prefix for [tex]10^6[/tex] is mega, and its symbol is M.
4. [tex]10^3[/tex]: The metric prefix for [tex]10^3[/tex] is kilo, and its symbol is k.
5. 2: There is no specific metric prefix for 2.
6. 1: There is no specific metric prefix for 1.
Now for the negative powers of these numbers:
1. [tex]10^-^1^2[/tex]: The metric prefix for[tex]10^-^1^2[/tex] is pico, and its symbol is p.
2. [tex]10^-^9[/tex]: The metric prefix for [tex]10^-^9[/tex] is nano, and its symbol is n.
3. [tex]10^-^6[/tex]: The metric prefix for[tex]10^-^6[/tex] is micro, and its symbol is µ.
4. [tex]10^-^3[/tex]: The metric prefix for[tex]10^-^3[/tex] is milli, and its symbol is m.
Please note that there are no metric prefixes for the negative powers of 2 and 1.
Know more about metric here:
https://brainly.com/question/1837503
#SPJ11
