Hello, can someone please help me with this problem. Thank you.

The sixth decile for the given test scores is 82.

To find the sixth decile, we first need to find the corresponding percentile. The sixth decile represents the 60th percentile, meaning 60% of the data falls below this value.

First, we need to find the total number of data points:

n = 30

Next, we need to find the rank of the 60th percentile:

Rank = (60/100) * n

= 0.6 * 30

= 18

Now we need to find the corresponding value for the 18th rank. To do this, we need to sort the data in ascending order:

44 56 58 62 64 64 70 72 72 72 74 74 75 78 78 79 80 82 82 84 86 87 88 90 92 95 96 96 98 100

The value at the 18th rank is 82, which is the sixth decile for this dataset.

Therefore, the sixth decile for the given test scores is 82. Counting from the smallest value, we can see that the 18th value is 82.

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The statement n × (10n + 2n) is Ω(nn) is true.Ω(nn) means the function f(n) grows at least as fast as nn grows. To prove the given statement, we need to find the values of c and n0 for which n × (10n + 2n) ≥ cnn, for n > n0. Let's assume c = 1 and n0 = 1.

Then we need to show that n × (10n + 2n) ≥ nn, for n > 1.n × (10n + 2n) = n × 12n = 12nn ≥ nn, for n > 1.Therefore, the statement n × (10n + 2n) is Ω(nn) is true.2. The statement 3n is Θ(2n) is false.To prove this, we need to show that there are no constants c1, c2, and n0 such that c1 · 2n ≤ 3n ≤ c2 · 2n, for all n > n0.If such constants existed, then we could take the logarithm of both sides of the inequality and get:c1 · n · log 2 ≤ log 3n ≤ c2 · n · log 2.

Using the logarithmic identity log ab = b · log a, we can simplify this to:c1 · n · log 2 ≤ n · log 3 ≤ c2 · n · log 2Dividing both sides of the inequality by n · log 2, we get:c1 ≤ log 3 ≤ c2. But this is not possible, because log 3 is a constant, and there is no pair of constants c1 and c2 such that c1 ≤ log 3 ≤ c2. Therefore, the statement 3n is Θ(2n) is false.

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The number of elements that will be compared is 7 before finding 25 using linear search for the given list {12, 15, 13, 20, 23, 27, 25, 36, 40}. Therefore, the correct option among the given alternatives is 7.

To find 25 using linear search, we have to compare each element of the list one by one with 25, starting from the first element of the list until we find the target element or reach the end of the list.

So the number of elements that will be compared is 7 before finding 25 using linear search for the given list {12, 15, 13, 20, 23, 27, 25, 36, 40}. Therefore, the correct option among the given alternatives is 7.

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Answer:

(1,2).(1,3),(4,3)

Step-by-step explanation:

The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Using the percentile concept, it is found that the correct option is:

Her daughter weighs more than 87% of girls her age and she is taller than 67% of girls her age.

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

Thus, the correct option is:

Her daughter weighs more than 87% of girls her age and she is taller than 67% of girls her age.

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Answer:

To women, it was a steed upon which they rode into a new world. All this triggered a backlash from many (male) doctors and onlookers, who cited all sorts of reasons to dissuade women from riding bikes. It would lead to not only bicycle face, but also exhaustion, insomnia, heart palpitations, headaches, and depression. During the late 19th and early 20th centuries, women began to escape some of their restrictions by riding bycicles. Despite strong opposition from men, women cycled on, and the bicycle became an instrument of change that subverted the status quo and became a powerful symbol of women's emancipation.

Step-by-step explanation:

Answer: 56

Step-by-step explanation: 7 * 2 * 4 = 56

Answer:

V = 56

Step-by-step explanation:

Rectangle prism Volume:

V = whl

Given:

w = 4

h = 2

l = 7

Work:

V = whl

V = (4)(2)(7)

V = 56

With a 10% acid solution. If the resulting solution

is 40 mL with 25% acidity, the value of x is 25 mL.

Let's assume the chemist mixes x mL of the 34% acid solution with the 10% acid solution.

The amount of acid in the 34% solution can be calculated as 34% of x mL, which is (34/100) × x = 0.34x mL.

The amount of acid in the 10% solution can be calculated as 10% of the remaining solution, which is 10% of (40 - x) mL. This is (10/100)× (40 - x) = 0.1(40 - x) mL.

In the resulting solution, the total amount of acid is the sum of the acid amounts from the two solutions. So we have:

0.34x + 0.1(40 - x) = 0.25 × 40

Now we can solve this equation to find the value of x:

0.34x + 4 - 0.1x = 10

Combining like terms:

0.34x - 0.1x + 4 = 10

0.24x + 4 = 10

Subtracting 4 from both sides:

0.24x = 6

Dividing both sides by 0.24:

x = 6 / 0.24

x = 25

Therefore, the value of x is 25 mL.

The correct answer is D) 25.

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Answer:

Buy 14 cupcakes

Step-by-step explanation:

4 - 9 - x

the pattern is plus 5

9+5=x

x=14

The required number of the cups next in the series is given as 14, the required series is given as 4, 9, 14, and so on.

Given that,
Two weeks ago, bought 4 cupcakes last week, and bought 9, a series to be determined.

A Series is defined as a group of numbers related or nonrelated to each other

Here,
According to the question,
2 weeks ago Number of cupcakes was 4,
1 week ago the number of cupcakes was 9.
The relationship formed can be given as y = --5x + 14,
put x = 0 we would get the number that comes next in the series,
So,
y = -5(0) + 14
y = 14

Thus, the required number of the cups next in the series is given as 14, the required series is given as 4, 9, 14, and so on.

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According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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Answer:

the answer is =15

Step-by-step explanation:

12+18=30

30÷2

=15//

Answer:

it means y intercept

Step-by-step explanation:

To determine the location of the maximum tensile bending stress with respect to the neutral axis, you need to find the point where the distance (y) is maximum.

To calculate the maximum tensile bending stress, you need to know the moment of inertia of the cross-sectional shape and the distance from the neutral axis to the point of interest.

The formula to calculate the maximum tensile bending stress (σ) is:

σ = (M * y) / I

where:

- M is the bending moment applied to the material

- y is the distance from the neutral axis to the point of interest

- I is the moment of inertia of the cross-sectional shape

Please provide the values for the bending moment (M), the moment of inertia (I), and the cross-sectional shape to calculate the maximum tensile bending stress and determine its location with respect to the neutral axis.

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The slope of the perpendicular line to the tangent line of curve y = f(x) at point A(7,f(7)) is -1/f'(7), where f'(7) represents the derivative of f(x) evaluated at x = 7.

To find the slope of the perpendicular line to the tangent line at a given point, we need to consider the negative reciprocal of the slope of the tangent line. The slope of the tangent line is given by the derivative of f(x) evaluated at the point of tangency.

Therefore, we calculate f'(x), the derivative of f(x), and then evaluate it at x = 7 to get f'(7). The negative reciprocal of f'(7) gives us the slope of the perpendicular line.

the expression -1/f'(7) represents the slope of the perpendicular line to the tangent line of the curve y = f(x) at point A(7,f(7)).

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Answer:

Step-by-step explanation:

Range =  difference between the highest and the lowest

Mode = Data that occurs the most time

Median = Arrange  the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle  terms.

1) Range = 28 -21 = 7

Mode = 25

Number of data (Count the total dots) = 14

Median = average of  7th and 8th term

Median = (25+25)/2 = 50/2 = 25

2) Range = 0.18 - 0.11 = 0.07

Mode = 0.15 and 0.16

Number of data = 23

Median =12th term = 0.15

This value is approximate. The more accurate answer is roughly 266.66667 square feet but even this value is approximate as well.

========================================================

Explanation:

The scale of 1:40 means 1 inch on paper corresponds to 40 inches in real life. This type of notation is typically found on maps in the bottom corner.

What we'll do is multiply by 40 to go from the measurement on paper to the measurement in real life.

In short,

From here we multiply the length and width to get the area.

area = length*width

= 20*13.333

= 266.66 which rounds to about 267 square feet.

Feel free to round to some other level of precision. I'm rounding to the nearest square foot because that's the typical precision when it comes to listing sizes of houses and apartments.

Answer:

-3/4

Step-by-step explanation:

The slope of line passes through the points (-9,10) and (-13,13)​ is -3/4.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

(-9,10) and (-13,13)​

So, slope= (13 - 10)/ ( -13 + 9)

slope= 3 / (-4)

slope= -3/4

Hence, the slope of line is -3/4.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

620

Step-by-step explanation:

12-1=11

11x50

1x70

add the two totals and you should get 620

Hope this helps!

Answer:

5/6

Step-by-step explanation:

The limit you're seeking can be expressed as the definite integral ∫[1, 6] 4x^3 dx. The limit as a definite integral on the given interval: lim n→∞ Σ (i=1 to n) (xi*)(xi*)^2 * 4δx, [1, 6].

To do this, follow these steps:

1. First, recognize that this is a Riemann sum, where xi* is a point in the interval [1, 6] and δx is the width of each subinterval.
2. Convert the Riemann sum to an integral by taking the limit as n approaches infinity: lim n→∞ Σ (i=1 to n) (xi*)(xi*)^2 * 4δx = ∫[1, 6] f(x) dx.
3. The function f(x) in this case is given by the expression inside the sum, which is (x)(x^2) * 4.
4. Simplify the function: f(x) = 4x^3.
5. Now, substitute the function into the integral: ∫[1, 6] 4x^3 dx.
6. Finally, evaluate the definite integral: ∫[1, 6] 4x^3 dx.

So, the limit can be expressed as the definite integral ∫[1, 6] 4x^3 dx.

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To determine the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure, we will use the following formula:

n = (Z * σ / E)²

where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level
σ = population standard deviation (in this case, "mm" hg)
E = margin of error (in this case, "mm" hg)

1. Determine the Z-score corresponding to the desired confidence level. Common confidence levels include 90%, 95%, and 99%, which correspond to Z-scores of 1.645, 1.960, and 2.576, respectively. Choose the appropriate Z-score based on the desired confidence level.

2. Substitute the given values of σ and E (both in "mm" hg) and the chosen Z-score into the formula: n = (Z * σ / E)²

3. Carry out the calculations, rounding the result up to the nearest whole number. This will ensure that the sample size is the minimum whole number that satisfies the requirements.

4. The result is the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure.

Note: Since this question haven't provided specific values for standard deviation, margin of error, and desired confidence level . follow the steps with the specific values you have to find the minimum sample size.

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Answer:

£34

Step-by-step explanation:

15/100*£40

=£6

£40_£6

=£34

Answer:

Step-by-step explanation:

Angle c = 90 degrees

90 + 2x + x = 180 degrees

3x = 90

x =30 degrees

2x = 30*2 = 60 degrees

The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

Answer:

The digits arranged in order from least to largest is 3.011, 3.09, 3.9, 9.3

Step-by-step explanation:

The arrangement of decimals in order from smallest to largest can be done by  taking note of the  digit in the unit portion, the tenths, hundredths and thousandths.

The numbers are;

9.3

3.09

3.9

3.011

The largest number is the 9.3

Of the three numbers with 3 as unit, the lowest hundredths is 0.011, therefore, we have;

Therefore, the least (lowest) number = 3.011

The next is the 3.09 as 0.09 is larger than 0.011

Then the second number is 3.9

The digits arranged in order from least to largest is then 3.011, 3.09, 3.9, 9.3.

Answer: A, C, and E! I just took this on Khan Academy! Please mark me brainliest because it it correct!

Answer:

y= .5x+2

Step-by-step explanation:

Slope= 2/4 (rise over run) = .5

B/ y intercept = 2

y=.5x+2

The probability of having 4 successes in 5 trials, where the probability of success on each trial is 0.2, can be calculated using the binomial probability formula. The main answer is that the probability is approximately 0.0262.

To explain further, let's break down the calculation. The binomial probability formula is P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) represents the probability of having x successes in n trials, C(n, x) is the number of combinations of n items taken x at a time, p is the probability of success on each trial, and (1-p) is the probability of failure on each trial.

In this case, x = 4, n = 5, and p = 0.2. Plugging these values into the formula, we get P(4) = C(5, 4) * 0.2^4 * (1-0.2)^(5-4). Calculating further, C(5, 4) = 5 (since there are 5 ways to choose 4 items out of 5), 0.2^4 = 0.0016, and (1-0.2)^(5-4) = 0.8^1 = 0.8. Multiplying these values, we find P(4) = 5 * 0.0016 * 0.8 = 0.0064.

Therefore, the probability of having 4 successes in 5 trials with a success probability of 0.2 is approximately 0.0064 or 0.64%.

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