In the data set below, what are the lower quartile, the median, and the upper quartile?



11, 18, 22, 22, 31, 31, 63, 86, 90, 92, 98



Lower quartile=



Median=



Upper quartile=

Answer:

729

Step-by-step explanation:

Including 3, there are 10 digits, from 0 to 9.

If you exclude 3, then there are 9 digits.

Each code will have a first digit, a second digit, and a third digit.

Each of those three digits can be chosen from 9 different digits.

We use the counting principle, and we multiply the number of possible digits for each position in the code.

number of possible first digits * number of possible second digits * number of possible third digits =

= 9 * 9 * 9 = 729

Answer: 729

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

Please see the graph below

Step-by-step explanation:

The table is just selecting numbers for x and then solving for what y would be.  Once we have the ordered pairs (x,y)  We can graph the points and see the line.

In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

-19

Step-by-step explanation:

12x - 6 + 6 = 10x - 40 + 2

12x - 10x = -40 + 2 + 6 -6

2x = -38

x = -38/2 = -19

The two truths are:

x is a negative number (x = -19)

x+5>x (if x is positive, is true; if x is negative, is also true)

The one lie is:

3x > 2x (if x is negative, the expression will be 3x < 2x)

We apply the trigonometric ratio in finding the length of the guy wire,

The guy wire is the longest side of the triangle - the hypotenuse

Let the length of the guy wire be X ft

Therefore, the length of the guy wire is 30 feet to the nearest foot

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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The formula used to calculate the variance of a set of data is Variance = \(s^2\)=1n−1n∑i=1(xi−¯x\()^2\).(Option-A)

To calculate the variance, each data point is subtracted from the mean, squared, and then added together. This gives the sum of the squared deviations from the mean. This sum is then divided by the total number of data points to get the average squared deviation from the mean, which is the variance.

Variance is a measure of the spread or variability of a set of data. It is useful in statistical analysis to understand how much the data points differ from the mean, and to compare different sets of data. Lower variance values indicate that the data is more tightly clustered around the mean, while higher variance values indicate that the data is more spread out.(option-A)

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Answer:  

Identifying Symmetry in Equations Graphs of Equations on a coordinate plane can have symmetry with respect to the X-Axis, Y-Axis, and/or the Origin. Some equations have no symmetry, and some equations have multiple types of symmetry. Each type of symmetry can be determined individually using either graphical or algebraic test methods.

Step-by-step explanation: Hope this helped !

Answer:

if the question is (What was the margin of error for this confidence interval?) then the answer is 9.1

But

if the question is ( What was the mean systolic blood pressure from the sample of 10 patients?) like above. then the answer is 120.4

Step-by-step explanation:

edge 2022 and I used quizlet

There is insufficient evidence to say that the population proportion has decreased from 28%.

"Information available from the question"

In the question:

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

What are the null and alternative hypotheses?

Now, According to the question;

Let's know:

Significance Level:

The significance level is the area of the rejection region in the hypothesis test. The larger the significance level, the easier is to reject the null hypothesis. The most common significance level used is 5% but in cases where high precision is required significance level is reduced.

\(H_0\) : p \(\geq\) 0.28

\(H_\alpha\) : p < 0.28

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

So,

The sample proportion:

p(cap) = x/ n

          = 291/1122

         =  0.2594

Test Statistics:

z = \(\frac{p_c_a_p - p }{\sqrt{p\frac{(1-p)}{n} } }\)

z = \(\frac{0.2594 - 0.28}{\sqrt{0.28\frac{(1-0.28)}{1122} } }\)

z = -0.0206/0.0003396

z = -0.2591

Decision rule:

Reject the null if,

p- value \(\leq\) \(\alpha\)

We can use a z-distribution table, an online tool, or the following excel command to calculate the p-value using excel.

p - value = P(z <  -0.2591)

              = 0.79635

p - value ≈ 0.79635 > \(\alpha\) = 0.01

Fail to reject the null.

Conclusion:

There is insufficient evidence to say that the population proportion has decreased from 28%.

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Answer:

D

Step-by-step explanation:

Circumference = Pi * radius^2

The radius is half of the diameter, 23.

Answer:

It's c

Step-by-step explanation:

A function of y that represents the area (in square meters) left for Addison to paint after x hours is y = 50 - 7.5x.

A function is a mathematical equation showing the relationship between two variables (dependent and independent).

In this situation, we can represent the situation as a linear function in the form of y = mx + b.

The total area of Addison's room = 50 m²

The area left after 2 hours of constant rate of painting = 35 m²

The area painted in 2 hours = 15 m² (50 m² - 35 m²)

The gradient, slope, or constant rate of painting = 7.5 m per hour (15/2)

y = 50 - 7.5x

y = 50 - 7.5(2)

y = 50 - 15

y = 35

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Write a function of y.

Answer: 625/12

U just have to find the roots then the product then eliminate the exponent.

Mark branliest <3

Answer:

\(x= 80^o\)

Step-by-step explanation:

Given

\(\angle Z = 36^o\)

\(\angle WYZ = 100^o\)

Required

Find x

\(\angle WYZ\) and x are on a straight line.

So:

\(\angle WYZ + x= 180^o\)

Make x the subject

\(x= 180^o -\angle WYZ\)

Substitute known value

\(x= 180^o -100^o\)

\(x= 80^o\)

Answer:

80 is correct

Step-by-step explanation:

Answer:

84.13.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For this question:

\(\mu = 143, \sigma = 8\)

What percentage of homes will have a monthly utility bill of more than $135?

This is 1 subtracted by the pvalue of Z when X = 135. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{135 - 143}{8}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587

1 - 0.1587 = 0.8413

84.13% of homes will have a monthly utility bill of more than $135. Excluding the percentage, the answer is 84.13.

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer: 5.6 kilograms.

Step-by-step explanation:

We know that 1,000 paperclips have a mass of 1 kilogram.

Therefore, one paperclip has a mass of 1/1000 kilograms, or 0.001 kilograms.

To find out how many kilograms 5,600 paperclips have, we can multiply the mass of one paperclip (0.001 kilograms) by the number of paperclips:

0.001 kilograms/paperclip * 5,600 paperclips = 5.6 kilograms

Therefore, 5,600 paperclips have a mass of 5.6 kilograms.

Answer:

To divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

For more examples and explanatTo divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

For dividing fractions:

Remember:

Keep Change Flip

Keep the first the same

Change the sign to multiplication

Flip the second fraction.

EX.

\(\frac{4}{5}\) ÷ \(\frac{1}{2}\)                           >Keep, Change Flip

=\(\frac{4}{5}\) * \(\frac{2}{1}\)                          >Now it's multiplication, reduce first if you can

                                    (nothing reduces in this problem), so mulitply

                                    across

= \(\frac{8}{5}\)

Answer:

Option 4:  A ║B

Step-by-step explanation:

Given the following statements:

\(\displaystyle\mathsf{\overline{X}}\) is ⊥ \(\displaystyle\mathsf{\overline{A}}\)

\(\displaystyle\mathsf{\overline{X}}\) is ⊥ \(\displaystyle\mathsf{\overline{B}}\)

We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.  

In the given conditional statement, \(\displaystyle\mathsf{\overline{X}}\) ⊥ \(\displaystyle\mathsf{\overline{A}}\)  and  \(\displaystyle\mathsf{\overline{X}}\) ⊥ \(\displaystyle\mathsf{\overline{B}}\), line \(\displaystyle\mathsf{\overline{X}}\) is the transversal that cuts through both lines  \(\displaystyle\mathsf{\overline{A}}\) and \(\displaystyle\mathsf{\overline{B}}\).  

Therefore, lines  \(\displaystyle\mathsf{\overline{A}}\) and \(\displaystyle\mathsf{\overline{B}}\) are perpendicular to line \(\displaystyle\mathsf{\overline{X}}\).  Hence, by the Lines Perpendicular to a Transversal Theorem,  \(\displaystyle\mathsf{\overline{A}}\) ║ \(\displaystyle\mathsf{\overline{B}}\).  

The statement suggests that there is a proportional relationship between the number of selfies Sebastian takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. This means that if we were to graph the number of selfies taken, x, on the x-axis and the amount of storage used, y, on the y-axis, the points would fall on a straight line and the slope of the line would be a constant.

In mathematical terms, we can represent this proportional relationship as y = kx, where k is the proportionality constant, or the constant of proportionality. This equation states that the amount of storage used, y, is directly proportional to the number of selfies taken, x.

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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The solution of the system of equations are x = -4 and y=1.

How to solve system of equations?

5x+y=-19  -- (i)

5x-4y=-24 ---(ii)

Subtract the above two equations:

5y = 5

y = 1

Substitute y=1 in equation (ii)

5x - 4(1) = -24

5x = -20

x = -4

Hence, the solution of the system of equations are x = -4 and y=1.

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Answer:

A) Ian will arrive first.

B) 6 Kilometers

C) 15 Minutes

Step-by-step explanation:

Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

where

x is the raw score = 12.20 or earlier

This means x ≤ 12.20

μ is the population mean = 13.20

σ is the population standard deviation = 2

n is the random number of samples = 25

z = 12.2 - 13.2/2/√25

z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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Answer:

B, D

Step-by-step explanation:

for it to be symmetrical, you have to rotate it so it matches the other triangle.