if a study’s sample is not generalizable to the rest of the population, we would say that the study has external validity that is

Answer: 6.25

Step-by-step explanation:

Answer:

SA = 967.6 cm²

Step-by-step explanation:

Surface Area of cylinder = \(2\pi r h + 2\pi r^2\)

Where r = 7 cm, h = 15 cm

=> SA = 2(3.14)(7)(15)+2(3.14)(7)²

=> SA = 659.7 + 2(3.14)(49)

=> SA = 659.7 + 307.9

=> SA = 967.6 cm²

Answer:

967.12 cm^2

Step-by-step explanation:

To find surface area of cylinder:

Find area of cross section x 2 = pi x r ^2 = 153.86 x 2 = 307.72cm^2

Area of curved surface = 3.14 x 14 x 15 = 659.4 cm^2

Total Surface Area = 659.4 + 307.72  = 967.12cm^2

Hope this helps

Answer:

67.5ft²

Step-by-step explanation:

1/2xhxb

1/2x9x15

4.5x15

67.5ft²

Hope this helps!!!!

Answer:

0.73

Step-by-step explanation:

Number of cards in a standard deck = 52

Number of black cards = 26

Number of face cards = 12

Probability of drawing either a black or face card

Probability = required outcome / Total possible outcomes

P(drawing a black card or face card) = (number of black cards / total card) + (number of face cards / total cards)

= 26/52 + 12 /52

= 0.5 + 0.2307692

= 0.73

The values of k that make the line y=kx-5 a tangent to the curve of f are determined by the equation k = f'(k/2), where f'(x) is the derivative of f(x).

To find the values of k for which the line y=kx-5 is a tangent to the curve of f, we need to equate the slope of the line with the derivative of f at the point of tangency.

Let (a,b) be the point of tangency on the curve of f. Then we have:

k = f'(a) (the slope of the tangent line)

b = ka - 5 (the point (a,b) lies on the tangent line)

We need to solve for k. To do this, we first need to find f'(x), the derivative of f(x).

Once we have the derivative, we can equate it to k and solve for x to find the x-coordinate of the point of tangency. Then we can use the equation of the tangent line to find the corresponding y-coordinate.

For example, if f(x) = x^2, then f'(x) = 2x. Equating this to k, we have:

2x = k

Solving for x, we get:

x = k/2

Substituting this into the equation of the tangent line, we get:

b = ka - 5

= k(k/2) - 5

= (k^2)/2 - 5

So the point of tangency is (k/2, (k^2)/2 - 5).

Therefore, the values of k for which the line y=kx-5 is a tangent to the curve of f are given by:

k = f'(k/2)

where f'(x) is the derivative of f(x).

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Answer:

To move a figure in a certain direction

Step-by-step explanation:

Ex.  <2,5>    You would move up(+) or down(-) for the x value which is 2.

You move from right to left(+) and left to right(-) for the y value which is 5.

The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

According to the statement

I have 10 starting cards, from Ace to 10, and 4 suits,

and by this way we get the 40 subsets and because of these subsets there is a probability becomes 40.

So, The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

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There were total 276 guests in the wedding that Joy organised.

Given,

fraction of the guest that chose beef = 1/3

fraction of the guest that chose chicken = 5/12

fraction of the guest that chose vegetarian = 1  - 1/3 - 5/12 = 1/4

we are asked to find the total number of guests in the wedding:

guests that chose vegetarian = 1/4

guests that chose vegetarian = 69

1/4 of the guest = 69

4/4 of the guest = 69 x 4 = 276

Hence there are total 276 guests in the wedding.

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Answer:

Step-by-step explanation:

a; i

b; i

The table does not provide enough information to determine the percentage of Democrats aged between 35 and 55.

The table presents conditional distributions of political party affiliation for each age group but lacks the joint distribution. To calculate the percentage of Democrats aged between 35 and 55, we need the joint distribution of age and political party affiliation.

The table only provides conditional probabilities, which describe the probability of being a Democrat within each age group. Without knowing the overall distribution of age groups or the correlation between age and party affiliation, we cannot accurately determine the specific percentage of Democrats aged between 35 and 55 from the given information.

Therefore, it is not possible to calculate the desired percentage using the provided table alone.

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Complete Question:

Provide an appropriate response The table below shows the conditional distributions of the variable political party affliation corresponding to each age group for a certain population.What percentage of Democrats are aged between 35 and 55?If it is not possible to tell from the table,say so Age Group 18-34 35-55 Over55 Total Democrat 0.45 0.46 0.43 0.447 Party Republican 0.40 0.44 0.49 0.443 Other 015 0.10 0.08 011 [Total 10 10 10 10 OIt is not possible to tell from this table. 44.7% 34% 46%.

The confidence associated with an interval estimate is called the confidence level.

When making an interval estimate, such as estimating a population parameter based on a sample, it is important to provide an indication of the level of confidence we have in the estimate. The confidence level represents the probability or level of certainty that the true population parameter falls within the calculated interval.

For example, if we calculate a 95% confidence interval for the mean height of a population, it means that we are 95% confident that the true population mean height lies within that interval. This implies that if we were to repeat the sampling and interval estimation process multiple times, approximately 95% of the intervals would contain the true population parameter.

The confidence level is typically expressed as a percentage, such as 90%, 95%, or 99%. A higher confidence level indicates a greater level of certainty in the interval estimate but also results in a wider interval.

In summary, the confidence level associated with an interval estimate represents the level of confidence or probability that the interval contains the true population parameter.

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Hourly rate for Martin = Total cost of Martin's swimming lessons / Number of hours

Hourly rate for Martin = $80 / 5 hours

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To compare the cost-effectiveness of Danny's and Martin's swimming lessons, we need to calculate their hourly rates.

Danny's hourly rate can be found by dividing the total cost of his swimming lessons by the number of hours:

Hourly rate for Danny = Total cost of Danny's swimming lessons / Number of hours

Hourly rate for Danny = $60 / 4 hours

Hourly rate for Danny = $15/hour

Martin's hourly rate can be found by dividing the total cost of his swimming lessons by the number of hours:

Hourly rate for Martin = Total cost of Martin's swimming lessons / Number of hours

Hourly rate for Martin = $80 / 5 hours.

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Test statistic is 0.42.

Given

Testing:

h0 : p = 0.74

h1 : p < 0.74

Successes x = 33

Subject n = 43

A test statistic is a number calculated by a statistical test. It describes how far your observed data is from the null hypothesis of no relationship between variables or no difference among sample groups.

It measures the accuracy of the predicted data distribution relating to the null hypothesis you use when analyzing data samples.

Test statistics z = \(\frac{p_{hat} - p}{\sqrt{\frac{p(1-p)}{n} } }\)

Where \(p_{hat}\) = Sample proportion = \(\frac{x}{n}\)

p = population proportion

n = sample size

z = \(\frac{(\frac{33}{43})-0.74 }{\sqrt{\frac{0.74(1-0.74)}{43} } }\)

z = 0.42

Hence,

Test statistics is 0.42..

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Answer:

12.5

Step-by-step explanation:

Answer: 15,840 yards

Step-by-step explanation: First found out how many yards are in a mile: 1760. Then multiply by 1760 by 9. Which will give you 15,840.

Answer:

x^2+6x+8 or (x+2)*(x+4)

Step-by-step explanation:

area = length * width

area = (x+2)*(x+4)

(just expanded the brackets)

area  = x^2+6x+8

Answer:

x^2+6x+8

Step-by-step explanation:

The initial way to represent the area of the entire rectangle is (x+2)*(x+4).

With this, we can multiply the two together using the FOIL method (First, Outside, Inside, Last).

x*x=x^2
x*4=4x
2*x=2x
2*4=8

Add these together, and you get your final answer:
x^2+6x+8

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

Answer:

Step-by-step explanation:

Let's assume A is 5, and B is 3 (so A:B is 5:3)


A is 5 parts, and B is 3 parts, so there are a total of 8 parts.

These 8 parts are R24000, so each part is worth 24000 : 8 = 3000.

A = 3000 x 5 = 15000.
B = 24000 - 15000 = 9000

So, 24000 shared in the ratio 5:3 is 15000 and 9000.

The strength of the evidence against the null hypothesis depends on the specific p-value and the chosen significance level, so it cannot be determined without that information.

To determine the strength of evidence against the null hypothesis, we compare the p-value to the chosen significance level (often denoted as alpha). If the p-value is smaller than the significance level, it suggests strong evidence against the null hypothesis, indicating that the observed results are unlikely to occur by chance alone.

However, if the p-value is greater than the significance level, it suggests weak evidence against the null hypothesis, indicating that the observed results could plausibly occur by chance.

The specific determination of evidence strength relies on the chosen significance level and the context of the study.

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The quadratic inequality equation in standard form that contains the points in the later experiments is y ≤ - 3x² + 24x + 12.

Projectile's equation of motion

The following equation is used to compute the projectile's motion:

h = h(0) + vt - ¹/₂gt²

The quadratic inequality equation in standard form, which includes the points in the following experiments, is;

y ≤ - 3x² + 24x + 12

proof, when x = 4 s

y ≤ - 3(4)² + 24(4) + 12

y ≤ 60

Therefore, y = - 3x2 + 24x + 12 is the quadratic inequality equation in standard form that includes the points in the subsequent experiments.

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The equation y= -x/3 - 1 is the answer in slope-intercept form .

We have,

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-6,-3) and, (6,-7)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+3)/(x+6)=(-7+3)/(6+6)

=> 3y + 9 = -x +6

=>3y = -x -3

=>y= -x/3 - 1

Hence, the required equation is,  y= -x/3 - 1

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Answer:

a

Step-by-step explanation:

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

f)Having distinct digits and even are 337

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:

the y-intercept is 8 and the slope is -4/3 .

Step-by-step explanation:

The y - intercept is (0, 8) and the slope is -4/3

"It is the point at which the graph of the function intersects the y-axis"

The slope of the line passing through points \((x_1,y_1),(x_2,y_2)\) is,

\(m=\frac{y_2-y_1}{x_2-x_1}\)

For given example,

We can observe that the line of best fit on this scatter plot passes though points (0, 8) and (6, 0)

Using the slope formula,

⇒ slope = (0 - 8)/(6 - 0)

⇒ slope = (-8)/6

⇒ slope = -4/3

Also, we can observe that the line of best fit on this scatter plot intersects y-axis at point (0, 8)

So, the y - intercept is (0, 8)

Therefore, the y - intercept is (0, 8) and the slope is -4/3

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Answer:

If they all get an equal slice, 1/4.

Step-by-step explanation:

The matrix A is invertible for all values of k except for k = 0, k = 1/3, and k = -1.

This is because the determinant of A is zero for these values of k, which means that A is not invertible.

Let A be a square matrix of order n. Then, A is invertible if and only if the determinant of A is nonzero. Theorem 4.6 is known as the invertible matrix theorem, which states that a square matrix A of order n is invertible if and only if A is row-equivalent to the n x n identity matrix.

In order to find all values of k for which A is invertible, we need to check the determinant of each matrix. If the determinant is nonzero, then the matrix is invertible. If the determinant is zero, then the matrix is not invertible.45.

A = [k -k 3 0 k + 1 1 k -8 k - 1]

The determinant of matrix A is:

det(A) = k(k² + k - 15) + 2k - 9(k + 1) - 3k² + 8k - 8(k - 1)

det(A) = k³ - 3k² + 15k - 23

The matrix A is invertible for all values of k except for

k = 1,

k = 3, and

k = 23/3.46.

A = [k k 0 k² 4 k² 0 k k]

The determinant of matrix A is:

det(A) = k(4k² - k) - 4k² + k

= k(3k - 1)(k + 1)

The matrix A is invertible for all values of k except for k = 0, k = 1/3, and k = -1.

This is because the determinant of A is zero for these values of k, which means that A is not invertible.

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The 95% tolerance limits that contain 95% of the diameters is 2.262

Diameter:

In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.

Given,

Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.

According to the given question we have identified the following values,

Tolerance percentage = 95%

Diameter percentage = 95%

x = 61,492

n = 10

s = 3035

c = 95% = 0.95

Now, the value of t is determine by looking in the row starting with degrees of freedom 

=> df = n−1 = 10−1 = 9 and in the column with 

=> α/2 = (1−c)/2

=>0.025 

Then as per the table of the Student’s T distribution:

=> tα​=2.262

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Answer:

Step-by-step explanation:

Y= 4/3x - 4 HOPE THIS HELPED