You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.3. Thus you are performing a right-talled test. Your sample data produce the test statistic z = 2.983. Find the p value accurate to 4 decimal places.

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8

The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

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Answer:median is the middle number when arranged in order low to high is 75.5 since the middle numbers are 75,76

mode is the most popular numbers so 74 and 76

mean is the average value. add them all up and divide by the amount of values you have 76.16

range is low and high numbers so from 74-78

outlier is the number furthest away from the rest so 78

Step-by-step explanation:

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

The expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z').

(a) To expand the function f = y'x + x'z with respect to x, we use the distributive property and apply De Morgan's law to simplify the expression:

f = y'x + x'z

  = x'y + x'z

  = (x'y)'(x'z)'    [Using De Morgan's law]

  = (x + y')(x + z')   [Using De Morgan's law again]

(b) Designing the function using a 2-to-1 multiplexer for the case of expanding f with respect to x involves using the inputs x, y, and z as the select lines of the multiplexer. The inputs x + y' and x + z' will be connected to the data inputs of the multiplexer, and the output of the multiplexer will be the expanded function f.

(c) Similarly, for expanding f with respect to y, the expansion is:

f = y'x + x'z

  = xy' + x'z

  = (xy')'(x'z)'    [Using De Morgan's law]

  = (x' + y)(x + z')   [Using De Morgan's law again]

For this case, the inputs x', y, and z will serve as the select lines of the 2-to-1 multiplexer. The inputs x' + y and x + z' will be connected to the data inputs, and the output of the multiplexer will represent the expanded function f.

In both cases, the 2-to-1 multiplexer is used to implement the logic function by selecting the appropriate data inputs based on the select lines, which are derived from the expansion of the function with respect to the corresponding variable.

In conclusion, the expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z'). By utilizing 2-to-1 multiplexers, the expanded functions can be designed by connecting the appropriate data inputs to the multiplexer based on the select lines derived from the expansions. This allows for the implementation of the logic functions using multiplexers, providing a compact and efficient circuit design.

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The probability of selecting another black marble is 3/7. As a result, the probability of drawing two black marbles in a row without replacement

(a) P(two red marbles) with replacement:The probability of drawing a red marble from a jar with five red marbles and four black marbles is 5/9, as there are five red marbles and nine total marbles. As a result, the probability of selecting two red marbles in a row with replacement is:P(two red marbles with replacement) = (5/9) × (5/9) = 25/81without replacement:When the first marble is removed, there are now only eight marbles remaining in the jar. Because there are only four black marbles in the jar, the probability of drawing a red marble is now 5/8. Therefore, the probability of selecting two red marbles in a row without replacement is:P(two red marbles without replacement) = (5/9) × (5/8) = 25/72(b) P(two black marbles)with replacement:For the first draw, there are four black marbles in the jar and a total of nine marbles. Therefore, the probability of drawing a black marble on the first draw is 4/9. Since the first marble was not removed, there are now eight marbles in the jar, including three black ones, and there are a total of nine marbles. Therefore, the probability of selecting another black marble is 3/9 or 1/3.

The probability of drawing two black marbles in a row with replacement is:P(two black marbles with replacement) = (4/9) × (1/3) = 4/27without replacement:Since the first marble was removed, there are only eight marbles in the jar, and there are four black ones. Therefore, the probability of selecting a black marble is 4/8 or 1/2. When the first black marble is removed, there are only seven marbles left, including three black ones. Therefore, the probability of selecting another black marble is 3/7. As a result, the probability of drawing two black marbles in a row without replacement is:P(two black marbles without replacement) = (4/9) × (3/7) = 12/63(c) P(one red and one black marble)with replacement:When one red and one black marble are selected with replacement, there are nine marbles in the jar for each draw. The probability of selecting one red and one black marble in a row is:P(one red and one black marble with replacement) = 2 × (5/9) × (4/9) = 40/81without replacement:Since there are five red and four black marbles in the jar, the probability of selecting a red marble first is 5/9. Once the red marble has been drawn and removed, there are only eight marbles remaining, including four black ones. As a result, the probability of selecting a black marble is 4/8 or 1/2.

As a result, the probability of drawing one red and one black marble without replacement is:P(one red and one black marble without replacement) = (5/9) × (4/8) + (4/9) × (5/8) = 20/36 + 20/36 = 10/18 = 5/9(d) P(red on the first draw and black on the second draw)with replacement:There are nine marbles in the jar for each draw. The probability of selecting a red marble first is 5/9. When the red marble is returned to the jar, there are still nine marbles in the jar, but now there are only four black marbles. The probability of selecting a black marble on the second draw is 4/9. As a result, the probability of drawing a red marble first and a black marble second with replacement is:P(red on the first draw and black on the second draw with replacement) = (5/9) × (4/9) = 20/81without replacement:Since there are five red and four black marbles in the jar, the probability of selecting a red marble first is 5/9. Once the red marble has been drawn and removed, there are only eight marbles remaining, including four black ones. As a result, the probability of selecting a black marble is 4/8 or 1/2. As a result, the probability of drawing a red marble first and a black marble second without replacement is:P(red on the first draw and black on the second draw without replacement) = (5/9) × (4/8) = 5/18

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Answer:

42.5 meters per minute

Step-by-step explanation:

you divide 1700 by 40 to find the unit rate :)

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

15.3??

Step-by-step explanation:

Answer:

u = 1.47

Step-by-step explanation:

221 - 6. 70 = 14. 70

14.70 ÷ 10 = 1. 47

1.47 = u

1.47 per bottle

Answer:

(1,6),(2,5),(3,4),(5,2) I think this is how you answer this question? If not then how?

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

if you take 500-10 that gives you 490 left to cure if 7 of those 10 are cured the 350 out of the total mice would be cured.   if it is not the correct answer i am sorry that is just how I was taught to do it.

Answer:

The answer is 3.458

Step-by-step explanation:

Answer:

6)a. π(16²)x = 62,731.3

b.

\(x = \frac{62731.3}{\pi( {16}^{2} )} = 78\)

c. The height is 78 cm.

Answer:

9 on its own can not be simplified. It needs to be a fraction.

Answer:

Total amount of water = 5,200,000

Step-by-step explanation:

Given:

water produced = 50,000 quarts of water per week

Production drop = 5% = 0.05 per year

Number of week in year = 52 week

Find:

Total amount of water

Computation:

Sum = a / r

a = 50,000 x 52

a = 2,600,000

Sum = a / [1-r]

Sum = 2,600,000 / 5%

Sum = 2,600,000 / 0.05

Total amount of water = 5,200,000

Answer:

40

Step-by-step explanation:

By spending10% less ,she saved $10,which was equal to 25%

Joyce's pocket money for each month is $140.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Joyce was given a fixed amount of pocket money each month.

In January, she spent $100 and saved the rest.

In February, she spent 10% less,

Spent = 10% of $100 = $10

And her saving increased by 25%.

Savings : 25% = $10

              100% = $40

Total :  $100 + $40 = $140

Therefore, the total money is $140.

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The linear transformation T(x, y) = (-3x, 3y) has a standard matrix A = [[-3, 0], [0, 3]] and its inverse A-1 = [[-1/3, 0], [0, 1/3]]. The linear transformation is invertible because its matrix is non-singular and its determinant is non-zero. The inverse transformation is T-1(x, y) = (-x/3, y/3).

To find the standard matrix A for the linear transformation T(x, y) = (-3x, 3y), we apply the transformation to the standard basis vectors e1 = (1, 0) and e2 = (0, 1) of R2 and write the results as linear combinations of e1 and e2. We get T(e1) = (-3, 0) and T(e2) = (0, 3), so the standard matrix A of T is [[-3, 0], [0, 3]].

To find the inverse of A, we need to find a matrix A-1 such that A A-1 = A-1 A = I, where I is the identity matrix. We can use the formula A-1 = (1/det(A)) adj(A), where det(A) is the determinant of A and adj(A) is the adjugate matrix of A (the transpose of the matrix of cofactors of A). In this case, det(A) = (-3)(3) - (0)(0) = -9, so A-1 = [[-1/3, 0], [0, 1/3]].

To determine whether the linear transformation T is invertible, we need to check whether its matrix A is non-singular, i.e., whether its determinant det(A) is non-zero. In this case, det(A) = -9, so A is non-singular and T is invertible. The inverse transformation T-1 can be obtained from A-1 as T-1(x, y) = A-1 (x, y)^T = [[-1/3, 0], [0, 1/3]] (x, y)^T = (-x/3, y/3).

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Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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Answer:

6 / 2   or   3

Step-by-step explanation:

y2 - y1

_____      =     (9 - 3) / (6 - 4) = 6 / 2 = 3

x2 - x1

The mean value theorem states that if a function f(x) is continuous on the interval [a, b] and differentiable on (a, b), then there exists a value c in (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

In this case, the interval is [2, 6]. So, we need to find the value(s) of c that satisfy:

f'(c) = (f(6) - f(2))/(6 - 2)

We can make an estimate based on the graph of the function.

If the graph of f(x) is a straight line between (2, f(2)) and (6, f(6)), then the derivative is constant over the interval [2, 6]. In this case, we can use the formula:

f'(c) = (f(6) - f(2))/(6 - 2) = (y2 - y1)/(x2 - x1)

where (x1, y1) = (2, f(2)) and (x2, y2) = (6, f(6)).

Solving for c, we get:

c = (x1 + x2)/2 = (2 + 6)/2 = 4

This is the only value of c that satisfies the conclusion of the mean value theorem in this case.

If the graph of f(x) is not a straight line, then we cannot make a simple estimate for c based on the graph alone.
To estimate the value(s) of c that satisfy the conclusion of the Mean Value Theorem (MVT) on the interval [2, 6], you need to follow these steps:

1. Identify the function, f(x), that you're working with.

2. Ensure the function is continuous on the interval [2, 6] and differentiable on the open interval (2, 6). This is required for MVT to be applicable.

3. Calculate the average rate of change (mean value) of the function over the interval [2, 6] by using the formula (f(6) - f(2)) / (6 - 2).

4. Take the derivative of the function, f'(x).

5. Set f'(x) equal to the mean value calculated in step 3 and solve for the value(s) of x, which will give you the value(s) of c that satisfy the MVT.

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Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Answer:

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

Use slope equation:

Substitute coordinates and solve for n:

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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Answer:

q1= n/4

is the formulato fine lower quartile

Approximately 68% of women have platelet counts between 175.6 and 314.6. (Type an integer or a decimal. Do not round).

Given the blood platelet counts of a group of women has a bell-shaped distribution with a mean of 245.1 and a standard deviation of 69.5.

Using the empirical rule, we need to find the following percentage:

a) What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 106.1 and 384.1?Empirical Rule states that the percentage of data within k standard deviations of the mean for bell-shaped distribution is approximately:(±1 standard deviation) - about 68% of the data (±2 standard deviations) - about 95% of the data (±3 standard deviations) - about 99.7% of the data.

Now, mean = 245.1 Standard Deviation = 69.5 Plugging in the values in the formula, we have; Lower Limit, L = Mean - 2 × standard deviationL = 245.1 - 2 × 69.5L = 106.1 Upper Limit, U = Mean + 2 × standard deviationU = 245.1 + 2 × 69.5U = 384.1 So, 68% of women in this group have platelet counts within 2 standard deviations of the mean, or between 106.1 and 384.1.

b) What is the approximate percentage of women with platelet counts between 175.6 and 314.6?Now, we need to convert the range to standard units.(x - mean) / standard deviationFor the lower limit, (175.6 - 245.1) / 69.5 = -0.996For the upper limit, (314.6 - 245.1) / 69.5 = 1.001

Using the Z-table, the area to the left of z = 1.001 is 0.8413 and the area to the left of z = -0.996 is 0.1587. Area between the limits is = 0.8413 - 0.1587 = 0.6826

Therefore, Approximately 68% of women have platelet counts between 175.6 and 314.6. (Type an integer or a decimal. Do not round).

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The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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Answer:

A

Step-by-step explanation:

Find the volume of both shapes.

Cylinder - V = πr²h = π·2²·4 = 50.26548

Sphere - V = 4/3πr³ = 4/3π·2³ = 33.51032

Find the difference between the two.

50.26548 - 33.51032 = 16.75516, or 16.75

-hope it helps

(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.

(c) To find the time it takes for the population to double, we can use the formula:

2P(0) = P(0)e^(kt)

where P(0) is the initial population size. Solving for t, we get:

t = ln(2)/k

(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.

(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]

(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]

(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]

(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]

Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.

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Answer:

Step-by-step explanation: i need a better explanation

Answer:

No solutions

Step-by-step explanation:

2 does not equal 7

I hope this helps!

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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Answer:

1. 3/9 = 0.3% 2. 6/9= 0.6% 3.6/9=0.6℅

Step-by-step explanation:

1.) 3 red and 9 balls

therefore, 3/9

2.) 3 white, 3 green

6/9 balls

3.) 3 red, 3 white

6/9