A number is selected at random from the set {2, 3, 4, ... 10}. Which event, by definition, covers the entire sample space of this experiment?A. The number is greater than 2.B. The number is not divisible by 5.C. The number is even or less than 12.D. The number is neither prime nor composite.E. The square root of the number is less than 3.

Answer:

Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.

If the test gives positive results for 95% of those having disease and correctly gives negative results for 90% of those who don't have disease and the incidence of the disease is 1% then the chance of having disease is 0.0105.

Given that a test for a disease correctly gives positive results for 95% of those having the disease and correctly gives negative results for 90% of those who don't have the disease.

We have to calculate the chance of having disease.

Probability that test is correct in determining the disease when person is suffering from it is 0.95.

Probability that test is not correct in determining the disease when person is suffering from it is 1-0.95=0.05.

Probability that test is correct in determining that the person is not suffering from disease  when person is not suffering from it is 0.90.

Probability that test is not correct in determining that the person is not suffering from disease  when person is not suffering from it is 1-0.9=0.10.

The chance of having disease is equal to incidence of disease multiplied by probabilities that the test has corectly determined disease when personis suffering from it and when test is not able to determine the disease when person is suffering from it.

Chance=0.01*0.95+0.01*0.10

=0.0095+0.001

=0.0105.

Hence the chance of having disease is 0.0105.

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Answer:

5 2/15 is the answer

Answer:

-1/6x^8y^7

Step-by-step explanation:

Step-by-step explanation:

that is

sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.

and that is

sum(2^r) + n/2 for r=1 to n.

2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).

and since r is starting at 1, the first term a1 = 2.

the formula for the sum of a finite geometric sequence is

Sn = a1×(1 - r^n) / (1 - r)

with r being the common ratio .

so, in our case

Sn = 2×(1 - 2^n) / (1 - 2)

Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2

and so, in total we get

2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2

Answer:

\(\huge\boxed{\sf - \frac{7}{68} }\)

Step-by-step explanation:

\(\displaystyle \frac{3}{8} \div (-\frac{51}{24} \div \frac{7}{12} )\\\\While \ changing \ \div \ into \ \times, \ we \ will\ switch \ the \ denominator \ and \ numerator \ after \ \div \ sign\\\\= \frac{3}{8} \div (\frac{-51}{24} \times \frac{12}{7} )\\\\= \frac{3}{8} \div (\frac{-51}{2} \times \frac{1}{7} )\\\\= \frac{3}{8} \div \frac{-51}{2 \times 7} \\\\= \frac{3}{8} \div \frac{-51}{14} \\\\= \frac{3}{8} \times \frac{14}{-51} \\\\= \frac{1}{4} \times \frac{7}{-17} \\\\\)\(\displaystyle = \frac{1 \times 7}{4 \times (-17)} \\\\= \frac{7}{-68} \\\\= - \frac{7}{68} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

= -7/68

Step-by-step explanation:

1- first simplify the fractions in the bracket

= 3/8 (-17/8 7/12)

2- then calculate within the brackets

= 3/8 (-51/14)

3- lastly multiply & divide

3/8 (-51/14) = -7/68

The units of the quantity δt can be determined using dimensional analysis. Dimensional analysis is a method used to analyze and derive the units of a physical quantity based on the units of its constituent variables.

In this case, we are determining the units of δt. To begin, let's assume δt is composed of variables with known units, such as length (L), time (T), and mass (M). By examining the equation or expression in which δt appears, we can deduce the relationships between these variables. For example, if δt represents a change in time and is related to a velocity (V) and length (L), we can write δt = L/V. By rearranging the equation, we find that δt has units of time (T).

Alternatively, if δt is involved in an equation where it is multiplied by a variable with units of frequency (1/T), such as δt = A × (1/T), we can deduce that δt has units of time squared (T²). Through dimensional analysis, we can systematically analyze the relationships between variables and their units to determine the units of δt in a given context.

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Answer:

m=1/3

Step-by-step explanation:

11m- 4/3=2m+5/3

-2m. - 2m

9m -4/3=5/3

+4/3.+ 4/3

9m= 9/3

m=1/3

Using the divergence theorem we can compute that the outward flux of the vector field is 16π .

The outward flux of F over the solid cylinder and z = 0 is

∫∫F·ds  = ∫∫∫ DivF dv

F = 2xy² i   +  2x²y j + 2xy k

Div F  =  D/dx (2xy²)  +   D/dy (2x²y )

Div F  =  2y²  +  2x²

In cylindrical coordinates   dV = rdrdθdz and as z = 0 the region is a surface ds = r·dr·dθ

Using the parametric form of the surface equation

x = rcosθ        y =  r sinθ      and z = z

Div F  = 2r² sin²θ  + 2r²cos²θ

∫∫∫ DivF dv  =  ∫∫ [2r²sin²θ  + 2r²cos²θ] × rdrdθ

∫∫ 2r² [sin²θ  + cos²θ] × rdrdθdz   ⇒  ∫∫ 2r³ drdθ

Integration limits

0 < r < 2          0 < θ < 2π

2∫₀² r³ ∫dθ

(2/4) × (2)⁴ × 2π

The divergence theorem, commonly known as Gauss' theorem or Ostrogradsky's theorem, is a theorem that connects the flow of a vector field across a closed surface to the field's divergence in the volume enclosed.

In more detail, the divergence theorem states that the surface integral of a vector field across a closed surface, sometimes referred to as the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface.

Therefore the flux is 16π .

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The assumption that the population standard deviations are unknown but assumed unequal is not necessary for performing a one-way ANOVA. In fact, the one-way ANOVA assumes that the population standard deviations are equal.

The other assumptions - that the samples are selected independently and that the populations are normally distributed - are necessary for performing a one-way ANOVA. It is important to note that violating these assumptions can lead to inaccurate results and conclusions. Therefore, it is crucial to assess the validity of these assumptions before performing a one-way ANOVA.

This can be done through statistical tests and graphical analysis. Overall, understanding the assumptions of a one-way ANOVA is important in order to interpret and apply its results correctly.

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The best prediction possible for the number of times the spinner will land on green or blue is given as follows:

30 spins.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of six regions, three are green and two are blue, hence the probability of one spin resulting in green or blue is given as follows:

p = (3 + 2)/6

p = 5/6.

Thus the expected number out of 36 trials of spins resulting in green or blue is given as follows:

E(X) = 5/6 x 36

E(X) = 30 spins.

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Answer:

26

Step-by-step explanation:

Answer:

6n-5

Step-by-step explanation:

Some different types of sequences

To find sequence patterns, often the sequences are arithmetic (adding by a constant amount) or geometric (multiplying by a constant amount).  

To test if something is a geometric sequence, find the quotient of (divide) adjacent terms.

To test if something is an arithmetic sequence, find the difference of (subtract) adjacent terms.

Finding the type of our sequence

Note the following:

19-13=6

13-7=6

7-1=6

So, to get each next term, add 6.  However, what is the nth term?

Finding an expression for our sequence

You'll be adding up "n" sixes to get there (expressed with multiplication, because multiplication is shorthand for repeated addition), but we need a starting point so that when n=1, the expression equals 1, and when n=2, the expression equals 7... and so on.  This starting point shifts the "6n" piece of our expression so that it lines up on the sequence.  I'm going to call this starting point "b" for the base that is supporting this sequence.

So the expression will look something like \(6n+b\)

Knowing that the expression needs to equal 1 when n=1, we can set up an equation and solve for "b".

\(6n+b=n^{\text{th}} \text{ term}\\6(1)+b=(1)\\6+b=1\\(6+b)-6=(1)-6\\b=-5\)

So, the expression for the nth term of the sequence is \(6n-5\)

Verifying

To verify that the expression we found is right, we can test our expression for each of the terms we do know:

The first term (n=1) is 1

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(1)-5 \overset{?}{=} (1)\)

\(6-5 \overset{?}{=} 1\)

\(1 \overset{\checkmark}{=} 1\)

The second term (n=2) is 7

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(2)-5 \overset{?}{=} (7)\)

\(12-5 \overset{?}{=} 7\)

\(7 \overset{\checkmark}{=} 7\)

The third term (n=3) is 13

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(3)-5 \overset{?}{=} (13)\)

\(18-5 \overset{?}{=} 13\)

\(13 \overset{\checkmark}{=} 13\)

The fourth term (n=4) is 19

\(6n+b=n^{\text{th}} \text{ term}\\\)

\(6(4)-5 \overset{?}{=} (19)\)

\(24-5 \overset{?}{=} 19\)

\(19 \overset{\checkmark}{=} 19\)

Answer:

Systems of equations in three variables that are inconsistent could result from three parallel planes, two parallel planes, and one intersecting plane, or three planes that intersect the other two but not at the same location

Step-by-step explanation:

I"m no expert but this should be correct lol

Answer: y=x-1

Step-by-step explanation:

to solve for the slope you do

4-1=3

5-2=3

3/3= 1x=x

to solve for the y-intercept you do

1=1(2)

1-2=-1

Answer:

The distance is roughly 86.6 m

Step-by-step explanation:

Working is attached below.

Answer:

1. Yes, 34+12=46

2.No, 22-9=13

3. Yes, 6*9=54

4. Yes, 39/3=13

5. k=4 7+4=11

6. p=37 37+24=13

7. h=23 23+16=7

8. m=13/30 2/5+13/30=5/6

9. w+15=190 w=175

i hope this helps:)

(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

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9514 1404 393

Answer:

  40°

Step-by-step explanation:

The side adjacent to the angle of interest and the hypotenuse are given, so the cosine relation is relevant.

  Cos = Adjacent/Hypotenuse

  cos(?) = 46/60

  ? = arccos(46/60) ≈ 39.9445°

  ? ≈ 40°

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:

yes, it uses the Associative Property

Step-by-step explanation:

The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer:

2s+6

Step-by-step explanation:

(9s+9)-(7s+3)

9s-7s+9-3

2s+9-3

2s+6

Answer:

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Nothing can be done

Step-by-step explanation:

\(4x-\frac{1}{3}x-7-\frac{7}{4}\)

Since there's no equals sign, we cannot do anything with this besides group everything together

The correct presentation on December 31, 2020, would be:

Current liabilities: $500,000

Long-term debt: $1,500,000

On January 1, 2020, Ermler Company issued $2,000,000 of notes payable, with $500,000 due on January 1 for each of the next four years. To determine the proper balance sheet presentation on December 31, 2020, we need to consider the classification of the notes payable.

The $500,000 due within one year (on January 1 of the following year) is considered a current liability. This amount represents the portion of the notes payable that needs to be repaid in the short term, within the company's operating cycle. Therefore, it should be classified as current liabilities.

The remaining $1,500,000 of the notes payable is not due within the next year. This portion represents the long-term debt of the company, as it extends beyond the normal operating cycle and is not required to be repaid in the short term.

Based on this analysis, the proper balance sheet presentation on December 31, 2020, would be as follows:

Current liabilities: $500,000

Long-term debt: $1,500,000

This classification accurately reflects the timing of the payments and provides a clear distinction between the current liabilities and long-term debt on the company's balance sheet.

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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