PLS SONEONE HELP QUARTILE AND DECILE FIR UNGROUPED DATA

Organise the information in a table.

When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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The approximate growth rate of the population would be 1.49%.

To find the approximate growth rate of a population that roughly doubles in the course of 47 years, we can use the rule of 70.

The rule of 70 states that if a population's growth rate is x% per year, the population will double in approximately 70/x years.

In this case, we know that the population doubles in 47 years. To find the growth rate, we can use the formula:

Doubling time = 70 / growth rate

Solving for the growth rate, we get:

Growth rate = 70 / doubling time

Substituting the given value of 47 years for the doubling time, we get:

Growth rate = 70 / 47

Growth rate ≈ 1.49%

Therefore, the approximate growth rate of the population would be 1.49%.

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Answer:

The roast weighed 1.375 kg

Step-by-step explanation:

Here, we want to know what the roast lamb will weigh in kilograms given its cooking time.

From the question, we are told that to cook 250 grams, 20 minutes is need.

So let’s make a relationship here,

Firstly let’s express 1 hour and 50 minuets in minutes, that will be 60 + 50 = 110 minutes( 1 hour is 60 minutes)

Now;

let’s have our relationship;

20 minutes = 250 grams

110 minutes = x grams

By cross multiplication;

20 * x = 250 * 110

20x = 27,500

x = 27500/20

x = 1,375 grams

But, mathematically 1000g = 1kg

So 1,375 will be 1375/1000 = 1.375 kg

The number of miles per gallon that Jamie's car get will be 15.25 miles per gallon.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Jamie drove 61 miles Jamie's car used 4 gallons of gas.

The number of miles per gallon that Jamie's car get will be given as,

Rate = 61 / 4

Rate = 15.25 miles per gallon

The number of miles per gallon that Jamie's car get will be 15.25 miles per gallon.

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The model of for the given relationship is,

R(x) = (200 + 50x)*(10 - x), where R(x) is the revenue of one week

This graph has downward parabola, vertex at (3, 2450) intersects X axis at 10 and Y axis at 40.

Hence the Graph Y.

Given that a candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week.

If he reduces the price by $1 then the sells increases 50 more per week.

When he will reduce $ x then the sells will increase 50x per week.

Now the price of each set of scented candles = (10 - x)

and sells in a week = (200 + 50x)

So if the candlemaker's weekly revenue is R(x) then

R(x) = (200 + 50x)*(10 - x)

R(x) = 2000 + 500x - 200x - 50x²

R(x) = 2000 + 300x - 50x²

If R(x) = y, then

y = 2000 + 300x - 50x²

50(x² - 6x - 40) = - y

50{(x - 3)² - 49} = - y

50(x - 3)² - 2450 = - y

50(x - 3)² = - (y - 2450)

So, the vertex at (3, 2450) and the parabola is downwards.

when intersect X axis then y = 0

x² - 6x - 40 = 0

x² - 10x + 4x - 40 = 0

(x - 10)(x + 4) = 0

x = -4, 10

and where cuts Y axis then x = 0

y = 40

Hence the correct graph is Graph Y.

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Answer:  \(h = \frac{J-2b}{2r}\)

Work Shown:

\(J = 2hr + 2b\\\\J - 2b= 2hr\\\\h = \frac{J-2b}{2r}\)

Explanation:

In the 2nd step, we isolate the "2hr" by subtracting both sides by 2b. This is do unto the +2b done to the right side initially. We want 2hr all by itself since it contains h.

Then to fully isolate h, we divide both sides by 2r. It might help to think of 2hr as 2r*h so you can pull out the terms easier. The division is done to undo the multiplication.

If writing out the final step using a keyboard, then you would say (J-2b)/(2r). Use parenthesis to indicate which terms are being divided.

Answer:

1. D just find all the surface

2.F same here

Answer:

9x+2

Step-by-step explanation:

It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.

(2x+2)+(3x+1)+(4x-1)

2x+2+3x+1+4x-1

Combine like terms.

2x+3x+4x=9x

2+1-1=2

Left with 9x+2 as your perimeter binomial.

The 95% confidence interval for the population proportion of members who vote yes is (0.782, 0.818).

A choice that is made at random (purely by chance, with no predictability). They tapes of samples are:

Convenient: Sample taken from a pool that is easily accessible.

Random: Put all the possibilities into a hat, then pull some of them at random. Every kth element is taken in a systematic manner. If you wanted to survey anything on the street, for instance, you may interview every fifth person.

Cluster: The population is divided into groupings, or clusters, and every component of each cluster is surveyed.

Stratified: Additionally stratifies the people into several groupings. But only a small portion of the group is questioned after that.

Now, finding the sample proportion,

\(p=\frac{x}{n} \\\\=\frac{1600}{2000}\\\\ =0.8\)

The confidence level is given as,

\(C=p\pm[z(\frac{\alpha}{2})\times\sqrt{\frac{p(1-p)}{n} } ]\)

The value of \(z(\frac{\alpha}{2})\) is 1.96

Putting the values, we get

\(C=0.8\pm[1.96\times\sqrt{\frac{0.8(1-0.8)}{2000} } ]\\\\C=0.8\pm[1.96\times\sqrt{\frac{0.8(0.2)}{2000} } ]\\\\C=0.8\pm0.018\\\\C=(0.782,0.818)\)

Therefore, the 95% confidence interval is (0.782,0.818).

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The given question is incomplete. Here is the complete question.

a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?

a) 0.782 to 0.818

b) 0.754 to 0.799

c) 0.690 to 0.713

d) 0.799 to 0.951

Robert, Juan, Susan, and Linda scored above the mean, Joel scored on the mean, and Jan scored below the mean on the advanced first aid course's final exam based on their z-score. Their final exam scores were 172, 184, 190, 150, 166, and 182, respectively.

The students with positive z-scores scored above the mean. So, Robert, Juan, Susan, and Linda scored above the mean. The student with a z-score of 0.00 scored on the mean. So, Joel scored on the mean. The student with a negative z-score scored below the mean. So, Jan scored below the mean.

To find the final exam score for each student, we can use the formula:

z = (x - m) / s

where z is the z-score, x is the final exam score, m is the mean score, and s is the standard deviation.

Rearranging the formula, we get:

x = z * s + m

Using the given values of z, s, and m, we can find the final exam score for each student:

Robert: x = 1.10 * 20 + 150 = 172

Juan: x = 1.70 * 20 + 150 = 184

Susan: x = 2.00 * 20 + 150 = 190

Joel: x = 0.00 * 20 + 150 = 150

Jan: x = 0.80 * 20 + 150 = 166

Linda: x = 1.60 * 20 + 150 = 182

So, the final exam scores for Robert, Juan, Susan, Joel, Jan, and Linda are 172, 184, 190, 150, 166, and 182, respectively.

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Answer:

Ma yasakō lāgi māphī cāhanchu.

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

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Answer:

18in of rapping paper

Step-by-step explanation:

a rubics cube has 6 sides so 6x3=18

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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To calculate the probability that the resulting product is even, we need to first determine the total number of possible outcomes. There are 90 two-digit numbers ranging from 10 to 99. If we choose two different numbers, there are a total of 90C2 (90 choose 2) possible combinations, which is equal to 4,005.

To calculate the number of even products, we need to consider the different scenarios. If one of the numbers is even, the product will also be even. There are 45 even numbers in the range from 10 to 99, so the number of even products that can be formed from an even number and an odd number is 45 x 45 = 2025.

If both numbers are odd, then the product will also be odd, and hence not even. There are 45 odd numbers in the range from 10 to 99, so the number of odd products that can be formed from an odd number and an odd number is 45 x 44 = 1980.

Therefore, the total number of even products that can be formed is 2025. The probability that the resulting product is even is then 2025/4005, which simplifies to 9/17, or approximately 0.5294. So, there is a 52.94% chance that the resulting product will be even.

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Answer:

C) 76 cm²

Step-by-step explanation:

area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²

another way is:

area = 1/2(b1 + b2)(h)

area = 1/2(11 + 8)(8) = 76 cm²

Answer:

76

Step-by-step explanation:

Hello There!

The area can be found by using this formula

\(A=\frac{a+b}{2} h\)

where a and b = bases and h = height

we need to find the height before we can find the area

the shape was split into a triangle and a square

because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm

now we plug in the known information into the formula

\(A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76\)

so we can conclude that the area of the trapezoid is 76 square centimeters

(3x-2)^2

squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power

The calculated value of the mode of the number of pets among the families is 1

From the question, we have the following parameters that can be used in our computation:

The histogram

As a general rule, the mode of an histogram is the data set that has the highest frequency

In this case, n = 1 has the highest frequency of 500

This means that we can conclude that the mode has a value of 1 (with a frequency of 500)

Hence, the mode from the histogram/distribution is 1

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According to the Pythagoras theorem, the value of x is 13.8

Pythagoras theorem:

Pythagoras theorem describes that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Given,

Here we have the two right angled triangles with the side values.

Here we have to find the value of x.

In order to find the value of x, we have to find the value of the bisector KM,

So, for that we have to use the concept of Pythagoras theorem,

We can written this one the following type of equation,

=> (12.3)² = (5.4)² + KM²

=> 151.29 = 29.16 + KM²

=> KM² = 122.13

=>  KM = 11.05

Therefore, the value of x is calculated in the same manner,

=> x² = (8.2)² + (11.05)²

=> x² = 67.24 + 122.10

=> x² = 189.34

=> x = √189.34

=> x = 13.76

When we round off this into the nearest tenth the we get the value of x as 13.8.

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Answer:

5.6cm

Step-by-step explanation:

The surface area of cylinder = 2*pi*r(r+h)

Given:-S.A=94.2 cm Sq.

Radius r=2cm

Put all valve into formulas and calculate

(r+h) =S. A/2*pi.r

= 94.2/2*3.14*2

=~7.6 cm

(r+h) =7.6

Or h= 7.6-r

Or h= 7.6-2

Or h=5.6 cm

1) If the couple must sit together, there are 240 ways that they can be seated.

2) If the couple must not be together, there are 720 ways that they can be seated.

1) If the couple must sit together, we can think of them as one unit. So, there are 5 units to be seated around the table. We can choose any one of these units to be the starting point, and then arrange the other units clockwise around the table.

The couple can be arranged in two different ways within their unit. So, the total number of ways they can be seated is: 5! × 2 = 240.

2) If the couple must not sit together, we can think of them as separate units. So, there are 6 units to be seated around the table. We can choose any one of these units to be the starting point, and then arrange the other units clockwise around the table.

The couple cannot be seated next to each other, so there are 3 possible units where they cannot be seated next to each other. Once we have chosen one of these units for the starting point, there are 2 ways to arrange the couple within their unit. Therefore, the total number of ways they can be seated is: 5! × 2 × 3 = 720.

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Answer:

{2,-1,-3,0} im pretty sure domain is like all the x values

Step-by-step explanation:

Answer: x = 5

Step-by-step explanation:

14 / 2 = 7

7 * 5 = 35

Same applies for x

2 / 2 = 1

1 * 5 = 5

Answer:

7 and 4

Step-by-step explanation:because yeah

Answer: 322.50

Step-by-step explanation:

45 * 6.5 = 292.5

292.5 + 30 = 322.5

Answer: long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend

Step-by-step explanation:

To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

Lengthy divide as you'll with entire numbers, but positioned the decimal point in the answer at the equal place it's miles at within the dividend

What is a decimal ?

Decimal can be defined as a number in which it contains whole and fractional part.

performing long department with decimals may be very just like acting long department with entire numbers, with a few more steps along the way. The manner we technique an extended department trouble concerning decimals will rely on in which in the equation the decimal range appears; either in the dividend (the quantity under the lengthy department bracket), the divisor (the range to the left of the lengthy division bracket), or each. the position of the decimal factor within the quotient (answer) can be depending on the placement of the decimal factor within the dividend.

Therefore, lengthy divide as you'll with entire numbers, but positioned the decimal point in the answer at the equal place it's miles at within the dividend

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I'll calculate the value of x using numerical methods and provide you with the closest point on the line to (-3, 1).

To find the point on the line 6xy = 9 that is closest to the point (-3, 1), we need to minimize the distance between the given point and any point on the line.

Let's denote the coordinates of the point on the line as (x, y). The distance between the two points can be calculated using the distance formula:

Distance = √[(x - (-3))^2 + (y - 1)^2]

Since we want to minimize this distance, we can minimize the square of the distance:

Square of Distance = (x - (-3))^2 + (y - 1)^2

We also need to satisfy the equation of the line 6xy = 9:

6xy = 9

Now, we have two equations:

1. Square of Distance = (x + 3)^2 + (y - 1)^2

2. 6xy = 9

To find the point that minimizes the distance, we can solve these equations simultaneously.

Let's substitute the value of y from the second equation into the first equation:

Square of Distance = (x + 3)^2 + ((9/(6x)) - 1)^2

To find the minimum value of the square of the distance, we can take the derivative with respect to x and set it equal to zero:

d(Square of Distance)/dx = 0

Solving this equation will give us the value of x. Once we find x, we can substitute it back into the equation 6xy = 9 to find the corresponding value of y.

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It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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