I don't know how to solve this.​

Answer:

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Step-by-step explanation:

x > 2 is the inequality

It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2

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

A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

Yes, this is the correct option

A number line going from negative 3 to positive 7. An open circle is at 2.  Everything to the left of the circle is shaded.

No, it should be right not left

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.

No, it should be open circle as 2 is not included

A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.

No, it should be open circle and right side to be shaded, not left

Step-by-step explanation:

The correct graph that represents the inequality "x > 2" is:

a) A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.

In the inequality "x > 2," the symbol ">" represents "greater than." This means that we are looking for values of x that are greater than 2.

On a number line, we can represent all the possible values of x. The number line given in option a) ranges from negative 3 to positive 7, covering a range of values.

To represent the condition that x is greater than 2, we need to place a circle on the number line at the value 2.

Since the inequality is strict ("x > 2"), we use an open circle at 2.

An open circle indicates that the point 2 itself is not included in the solution.

Finally, everything to the right of the open circle should be shaded to indicate that any value greater than 2 is a solution to the inequality.

This shading represents all the values of x that satisfy the inequality "x > 2."

Therefore, option a) is the correct graph that represents the inequality "x > 2."

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A researcher is using a chi square test to determine whether people have any preferences among three brands of televisions. The null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

The Chi-square test is a statistical method that is used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in a contingency table. It is used to test whether the observed frequencies of one or more variables differ significantly from their expected frequencies. It can be used for both categorical and numerical data.

The null hypothesis for a Chi-square test is that there is no significant difference between the observed and expected frequencies, i.e., the observed frequencies are similar to what is expected based on chance. The alternative hypothesis, on the other hand, is that there is a significant difference between the observed and expected frequencies.

Here, the researcher is using a chi square test to determine whether people have any preferences among three brands of televisions.

Therefore, the null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

This means that the researcher assumes that there is no significant difference between the observed and expected frequencies of each brand, i.e., the proportions of people who prefer each brand are equal.

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Measures of central tendency, measures of variation, and crosstabulation are all types of descriptive statistics.

Descriptive statistics summarize and describe the main features of a data set, including the typical or central values (measures of central tendency) and the spread or variability of the data (measures of variation). Crosstabulation, also known as contingency tables, is a way to summarize the relationship between two variables by displaying their frequency distributions in a table format.
Measures of central tendency, measures of variation, and crosstabulation are types of descriptive statistics. Descriptive statistics are used to summarize and describe the main features of a dataset in a simple and meaningful way.

Central tendency refers to the measures that help identify the center or typical value of a dataset, such as mean, median, and mode. Variation measures describe the spread or dispersion of data, including range, variance, and standard deviation. Crosstabulation is a method of organizing data into a table format to show the relationship between two categorical variables.

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Answer:

Population  

Population estimates, July 1, 2019, (V2019) 6,829,174

Population estimates base, April 1, 2010, (V2019) 6,346,276

Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%

Population, Census, April 1, 2010 6,346,105

Age and Sex  

Persons under 5 years, percent 6.0%

Persons under 18 years, percent 22.1%

Persons 65 years and over, percent 16.7%

Female persons, percent 51.2%

Race and Hispanic Origin  

White alone, percent 78.4%

Black or African American alone, percent(a) 17.1%

American Indian and Alaska Native alone, percent(a) 0.5%

Asian alone, percent(a) 2.0%

Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%

Two or More Races, percent 2.0%

Hispanic or Latino, percent(b) 5.7%

White alone, not Hispanic or Latino, percent 73.5%

Population Characteristics  

Veterans, 2015-2019 431,274

Foreign born persons, percent, 2015-2019 5.1%

Housing  

Housing units, July 1, 2019, (V2019) 3,028,213

Owner-occupied housing unit rate, 2015-2019 66.3%

Median value of owner-occupied housing units, 2015-2019 $167,200

Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244

Median selected monthly owner costs -without a mortgage, 2015-2019 $388

Median gross rent, 2015-2019 $869

Building permits, 2019 41,361

Families & Living Arrangements  

Households, 2015-2019 2,597,292

Persons per household, 2015-2019 2.52

Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%

Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%

Computer and Internet Use  

Households with a computer, percent, 2015-2019 87.1%

Households with a broadband Internet subscription, percent, 2015-2019 78.4%

Education  

High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%

Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%

Health  

With a disability, under age 65 years, percent, 2015-2019 11.0%

Persons without health insurance, under age 65 years, percent 12.1%

Economy  

In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%

In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%

Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013

Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683

Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482

Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421

Total retail sales, 2012 ($1,000)(c) 91,641,605

Total retail sales per capita, 2012(c) $14,194

Transportation  

Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2

Income & Poverty  

Median household income (in 2019 dollars), 2015-2019 $53,320

Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859

Persons in poverty, percent 13.9%

BUSINESSES

Businesses  

Total employer establishments, 2018 138,269

Total employment, 2018 2,683,214

Total annual payroll, 2018 ($1,000) 125,736,019

Total employment, percent change, 2017-2018 1.3%

Total nonemployer establishments, 2018 539,987

All firms, 2012 550,453

Men-owned firms, 2012 302,249

Women-owned firms, 2012 195,694

Minority-owned firms, 2012 105,234

Nonminority-owned firms, 2012 434,025

Veteran-owned firms, 2012 59,379

Nonveteran-owned firms, 2012 469,392

GEOGRAPHY

Geography  

Population per square mile, 2010 153.9

Land area in square miles, 2010 41,234.90

FIPS Code

Step-by-step explanation:

EXPLANATION:

The cube of the sum of 6 is equal to 18 and any number can form any mathematical expression, but that does not mean that it is a line, because both the value of 18 and that other number must maintain a constant pattern that allows obtaining a straight line.

Something linear is means a trend or pattern that is involved with that other value in a process.

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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Answer:

s=30

Step-by-step explanation:

15s-100=350 =>15s=350+100 =>15s=450 => s=450/15 = 30 => s=30

Have a nice day !

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

\(Distance = Speed \times Time\)

Time = 3 minutes = \(\frac{3}{60}\) hrs

Speed = 22 mph

\(Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles\)

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 \(\times\) 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.

With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of option (C) the variability around the regression line

The standard error of the estimate in a regression-based forecast is a measure of the variability of the actual data points around the predicted values of the regression line.

It tells us how much the actual data points are likely to deviate from the predicted values, and provides a measure of the accuracy of the forecast. It is not related to the time required to derive the forecast equation, the maximum error of the forecast, or the time period for which the forecast is valid.

Therefore, the correct option is (C) The variability around the regression line.

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The give question is incomplete, the complete question is:

With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of:

A. the time required to derive the forecast equation.

B. the maximum error of the forecast.

C. the variability around the regression line.

D. the time period for which the forecast is valid.

Hence, the probability is 0.0985.

To calculate the probability of demand exceeding the reorder point when the reorder quantity is set at 143 units, we need to follow these steps:Calculate the mean of demand during lead time (µd)Calculate the standard deviation of demand during lead time (σd) Calculate the reorder point (R)R = µd + z * σd (where z is the standard normal deviation corresponding to the service level)Calculate the safety stock (S)S = R - d, where d is the demand rate Calculate the order quantity (Q)Q = R + S - I (where I is the inventory in hand)

Calculate the probability of demand exceeding the reorder point. Probability (P) = 1 - P (Z ≤ ((R - µd) / σd))The mean of demand during lead time (µd) can be calculated as the product of the average daily demand (D) and lead time (L).

µd = D * L = 26 * 8 = 208 units.

The standard deviation of demand during lead time (σd) can be calculated using the formula below

:σd = √(D * L * σ^2) = √(26 * 8 * 12^2) = 99.91 units

.The reorder point (R) can be calculated using the formula below:R = µd + z * σd, where z is the standard normal deviation corresponding to the service level. Since the service level is not given in the problem, we assume a service level of 90%. The corresponding z-value for a 90% service level is

1.28.R = 208 + 1.28 * 99.91 = 338 units.

The safety stock (S) can be calculated using the formula below:S = R - d, where d is the demand rate. In this case, the demand rate is given as 26 units per day.

S = 338 - 26 = 312 units.

The order quantity (Q) can be calculated using the formula below:Q = R + S - I, where I is the inventory in hand. In this case, the inventory in hand is not given, so we assume it to be zero

.Q = 338 + 312 - 0 = 650 units.

To calculate the probability of demand exceeding the reorder point, we need to standardize the random variable Z using the formula below:Z = (X - µd) / σd, where X is the random variable. In this case,

X = R = 338.Z = (338 - 208) / 99.91 = 1.303.

The probability of Z being less than or equal to 1.303 can be found using the standard normal table. The value from the table is 0.9015.Therefore, the probability of demand exceeding the reorder point when the reorder quantity is set at 143 units is:

P = 1 - P (Z ≤ ((R - µd) / σd))P = 1 - 0.9015 = 0.0985

(rounded to four decimal places).

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You have a total of six different ways to select a snack and a beverage at the amusement park.

To determine the number of different ways you can select a snack and a beverage, we can use the concept of combinations.

Let's analyze the options:

Snack: You can choose either a chili dog or popcorn. This gives us 2 choices for the snack.

Beverage: You can choose either lemonade, an energy drink, or water. This gives us 3 choices for the beverage.

To calculate the total number of combinations, we multiply the number of choices for the snack by the number of choices for the beverage. Therefore, the number of different ways to select a snack and a beverage is 2 (choices for snack) multiplied by 3 (choices for beverage), which equals 6.

In other words, there are six different combinations possible:

Chili dog and lemonade

Chili dog and energy drink

Chili dog and water

Popcorn and lemonade

Popcorn and energy drink

Popcorn and water

So, when considering all the options, you have a total of six different ways to select a snack and a beverage at the amusement park.

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Answer:

-2,-9

Step-by-step explanation:

im not 100 perent sure ifthis is right or not

Answer:(-2,-9)

Step-by-step explanation:

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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"When the size of the sample selected from a subgroup is proportional to the size of the that subgroup in the entire population "We refer to this as: proportionate stratified sampling.

This method involves dividing the population into subgroups based on certain characteristics and then selecting a sample from each subgroup in proportion to its size in the population. This helps to ensure that the sample is representative of the entire population and reduces the potential for bias.

Proportionate stratified sampling is a sampling technique used in statistics to obtain a representative sample of a population. In this method, the population is first divided into subgroups or strata based on certain characteristics that are relevant to the research question. Then, a random sample is selected from each stratum in proportion to the size of the stratum in the population.

The main advantage of proportionate stratified sampling is that it ensures that each stratum is represented in the sample in proportion to its size in the population. This can lead to more accurate estimates and more precise statistical inferences, particularly when there are substantial differences between the strata with respect to the variables of interest.

For example, suppose a researcher is interested in studying the average income of a population that includes people from different age groups. The researcher could divide the population into strata based on age (e.g., 18-30, 31-50, 51 and above) and then randomly sample individuals from each stratum in proportion to its size in the population. This would help ensure that the sample reflects the distribution of age groups in the population and thus improve the accuracy of the income estimates.

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Answer:

Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.

Answer:

The True Statements

The sale's price of the items was $41.40.

Mrs. Bolden payed $2.76 on her purchase.

Altogether, Mrs. Bolden payed $43.88 on the shirts and flip-flops.

Step-by-step explanation:

$19 + $19 + $8 = $46

10% of $46 = $4.60

$46 - $4.60 = $41.40

6% of $46 = $2.76

+$2.76 - $4.60 = -$2.12

$46 - $2.12 = $43.88

Answer:

x=9

Reverse. 14-5=9, so x must be 9.

Answer:

\(x + 5 = 14 \\ x = 14 - 5 \\ x = 9\)

Answer:

1)8.4 x \(10^{-3}\)

2)6.8 x \(10^{-8}\)

3)4.51 x \(10^{8}\)

4)6.6 x \(10^{7}\)

5)5.52 x \(10^{6}\)

6)4.25 x \(10^{-3}\)

7)6.54 x \(10^{-4}\)

8)3.2 x \(10^{-3}\)

9)8.52 x \(10^{-5}\)

10)7.5 x \(10^{-4}\)

Second page

1)7.41 x \(10^{-8}\)

2)7.8 x \(10^{6}\)

3)9.63 x \(10^{-3}\)

4)3.54 x \(10^{-5}\)

5)8.5 x \(10^{4}\)

6)2.56 x \(10^{-5}\)

7)1.59 x \(10^{-6}\)

8)3.2 x \(10^{9}\)

9)7.54 x \(10^{7}\)

10)9 x \(10^{-9}\)

This took so long, so hope it helps.

Answer:

23 X 3 = 5

1232 X= 235

2345 = 2

Step-by-step explanation:

The sοlutiοns are x = 0 and x = ±1.

A pοlynοmial functiοn is a functiοn that invοlves οnly nοn-negative integer pοwers οr οnly pοsitive integer expοnents οf a variable in an equatiοn like the quadratic equatiοn, cubic equatiοn, etc. Fοr example, 2x+5 is a pοlynοmial that has expοnent equal tο 1.

A pοlynοmial functiοn can be expressed in the fοrm οf a pοlynοmial. The definitiοn can be derived frοm the definitiοn οf a pοlynοmial equatiοn. A pοlynοmial is generally represented as P(x). The highest pοwer οf the variable οf P(x) is knοwn as its degree. Degree οf a pοlynοmial functiοn is very impοrtant as it tells us abοut the behaviοur οf the functiοn P(x) when x becοmes very large. The dοmain οf a pοlynοmial functiοn is entire real numbers (R).

Let u = x² + 3, then the equatiοn becοmes u² - 7u + 12 = 0.

This quadratic equatiοn can be factοred as (u - 3)(u - 4) = 0.

Therefοre, u = 3 οr u = 4.

Substituting back in fοr u, we get:

Fοr u = 3: x² + 3 = 3 => x² = 0 => x = 0

Fοr u = 4: x²+ 3 = 4 => x² = 1 => x = ± 1

Therefοre, the sοlutiοns are x = 0 and x = ± 1.

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Step-by-step explanation:

The Internet started in the 1960s as a way for government researchers to share information. ... This eventually led to the formation of the ARPANET (Advanced Research Projects Agency Network), the network that ultimately evolved into what we now know as the Internet.

Answer:

(A) 6(4a2 – 3)

Step-by-step explanation:

Just took the quiz, it's A!! :)

The better deal if a customer plans to ride for 2.5hrs is rough riders.

let

Happy Trails Ranch:

25 + 8.50x

Rough Riders:

20.75 + 9.75x

Happy Trails Ranch:

25 + 8.50x

= 25 + 8.50(2.5)

= 25 + 21.25

= $46.25

Rough Riders:

20.75 + 9.75x

= 20.75 + 9.75(2.5)

= 20.75 + 24.375

= $45.125

The better deal is rough riders

Equate Happy trails and rough riders

25 + 8.50x = 20.75 + 9.75x

25 - 20.75 = 9.75x - 8.50x

4.25 = 1.25x

x = 4.25 / 1.25

x = 3.4 hours

25 + 8.50x = 20.75 + 9.75x

5(5 + 1.7x) = 5(4.15 + 1.95x)

The number of solutions to 25 + 8.50x = 5(5 + 1.7x) is

25 + 8.50x = 5(5 + 1.7x)

25 + 8.50x = 25 + 8.50x

25 - 25 = 8.50x - 8.50x

0 = 0

If Tina started riding at noon at Happy trails for 3.4 hours, at what time did she finish her ride?

Noon = 12:00

Add 3.4 hours

= 12:00 + 3.4

= 03:24 pm

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The equation in slope intercept form is C(h) = 50h+25  ,the total cost for 8 hours of work is $425 , and for 10 hours of work  is  $525.

In the question;

it is given that

the fixed charge of plumber = $25

charge for per hour of service = $50

the hours of service be "h"

and the total cost be "C"

according to the question

C(h) = 50h+25

the equation in the slope intercept form is C(h) = 50h+25

to find the total cost for 8 hours of work , put h=8

C(8) = 50(8) + 25

= 400+25

= 425

to find the total cost for 10 hours of work , put h=10

C(10) = 50(10) + 25

= 500+25

= 525

Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work  is $525 .

The given question is incomplete , the complete question is

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?

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The largest possible number of red socks in the drawer that is consistent with this data is 990.

To solve the given question, we will form equations according to the given data including a known and an unknown variable.

Let r be the number of socks that are red, and t be the total number of socks.

We get,

2(r(r-1)+(t-r)(t-r-1))=t(t-1)

Expanding the left hand side and the right hand side

we get,

4r^2-4rt+2t^2-2t = t^2-t

moving the terms, we will get that

4r^2-4rt+t^2 = t

We notice that the left side is a perfect square.

(2r-t)^2 = t

Thus t is a perfect square.

And, the higher t is, the higher r will be. So, we should set

t = 44^2

= 1936

we see, 2r-1936 = 44

We will use the positive root, to get that

2r-1936 = 44,

2r = 1980

r = 990

Therefore, we can conclude that the largest possible number of red socks in the drawer that is consistent with this data is 990.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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a) The arrangement of 9 paintings can be done 9 ways.

b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.

The arrangement of the different things or numbers in a number of ways is called the combination.

a) Here if she has 9 paintings so the number of the arrangements will be

\(^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways\)

b) The arrangement of the 4 out of 9 paintings will be

\(^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways\)

Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.

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1. To find the ( Median), order a set of data from least to greate then choose the middle number. True

2. The (mode) is the number that appears most often in a d. True

3. The (maximum) is the largest number in a set of data. True

4. The (range) is different between the minimum and maximum value in set of data. True

5. For positive correlation the data in two sets (increase) together. True.

6. The (minimum) is the smallest number in a set of data. True.

Median is a statistical measure that represents the middle value in a set of numbers when they are arranged in order from least to greatest.

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Using scientific notation the product 19,898 × 0.002 = 99.49

Scientific notation is the expression of a number in the form a × 10ⁿ where 1 ≤ a < 10 and n is an integer

So, find the closest to the product 19,898 × 0.002, we write each number in scientific notation and then multiply.

So, 19898 = 1.9898 × 10⁴

0.002 = 2 × 10⁻³

Using the rule of multiplication, we have

a × 10ⁿ × b × 10ˣ = a × b × 10ⁿ⁺ˣ

So, we have that

19,898 × 0.002 = 1.9898 × 10⁴ × 2 × 10⁻³

= 1.9898 × 2 × 10⁴⁺⁽⁻³⁾

= 9.949  × 10⁴⁻³

= 9.949 × 10

= 99.49

So, 19,898 × 0.002 = 99.49

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John will clean the house for 5/2 = 2.5 hours.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

Given, that John cleans the house 2 hours more than Jane.

Let x be the time taken by the Jane and x +2 be the time taken by John.

Total they work for 2 hours 24 minutes

first we will convert minutes into hours, 24/60

= 2.4 hours

Let time taken by John = 1/x+2

time taken by Jane = x

1/x + 1/(x+2) = 2.4

Taking lcm,

x+x+2 = 2.4(x)(x+2)

2x +2 = 2.4\(x^{2}\) +4.8x

2.4x\(x^{2}\)+2.8x -2 = 0

On solving it,

x = \(\frac{b-\sqrt{b^{2-4ac} } }{2a}\)

x = 1/2 and x = -5/3

only x = 1/2 is possible value.

Time taken by John = 1+1/2

=5/2

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what you need to do is plug in the X-imput into the exponential slot that has the tiny X.

your answer is "C"

thanks! :)

Answer:

D.

Step-by-step explanation: