A scientist wants to know the average processing time for a PCR machine assay under certain conditions, and wants to assert with 95% confidence that the mean of her sample is off by at most 30 seconds. She assumed her SD =1.5 minutes (based on prior experiments).
1. How large a sample will she have to take?
2. if you data is binary, not continuous, how would your sample size formula change? Please explain.

Answer:

1/4

Step-by-step explanation:

Five bottles of sunscreen were shared equally among 20 campers. What fraction of a bottle for each camper use?

This question above is calculated as:

Number of bottles of sunscreen/Number of campers

= 5/20

= 1/4

Hence, fraction of a bottle for each camper use is 1/4

Maria received 999 votes out of a total of 25, which means that 999/25 = 39.96% of the class voted for her. Therefore, approximately 40% of the class voted for Maria.

To find the percentage of the class that voted for Maria, we need to first find the total number of students who voted:

Total number of students who voted = number who voted for Benjamin + number who voted for Sahil + number who voted for Maria

= 444 + 1212 + 999

= 2655

Now we can calculate the percentage of the class that voted for Maria:

Percentage of class that voted for Maria = (number who voted for Maria / total number of students who voted) x 100%

= (999 / 2655) x 100%

= 37.6%

Therefore, 37.6% of the class voted for Maria, approximately 40% of the class voted for Maria.

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Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this problem in one step, we just have to look at the graph and see how the line works.

The equation of the line is \(y=8x+0\) as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.

In words, after reading our equation, we can see the following

"Every hour Anthony works, he earns 8 dollars".

We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis

Hence our answer would be B.

Cheers!

Answer:

11x+60° =93

11x =93-60

x=33/11

x=3

z+93 = 180 (being angles in st. line)

z=180-93

z= 87

Answer:

x=3

z=87

Step-by-step explanation:

Using the vertical angles rule, we can set 11x+60=93, solve for x:

\(11x+60=93\\11x=33\\x=3\)

Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:

\(180=93+z\\87=z\)

The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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1. Inferential statistics test data significance and account for sampling error.

2. Inferential statistics assess sample statistic accuracy.

3. Mean is a univariate statistic for central tendency.

4. Significance tests evaluate null hypothesis probability.

1. True. Inferential statistics are used to make inferences about a population based on data from a sample. This includes determining if the patterns in the data are significant or can be explained by sampling error.

2. True. This is a question about the accuracy of a sample statistic, which is a type of inferential statistic.

3. True. A mean is a measure of central tendency, which is a univariate statistic. A univariate statistic is a statistic that describes a single variable.

4. The null hypothesis is false. A significance test is a statistical test that is used to determine if the null hypothesis is likely to be true. The null hypothesis is typically the hypothesis that there is no difference between two groups or that there is no effect of a treatment. If the p-value of a significance test is less than a certain threshold, such as 0.05, then we can reject the null hypothesis and conclude that the alternative hypothesis is likely to be true.

In other words, a significance test determines the probability of obtaining the observed data if the null hypothesis is true. If the probability is very low, then we can conclude that the null hypothesis is likely false.

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Given:

The graph of a function.

To find:

The domain and range of the function.

Solution:

We have, the graph of a function and we need to find the domain and range of the function.

We know that, domain is the set of input values (x-values) and range is the set of output values (y-values).

From the given graph it is clear that function is defined for all values of x except x=0 because as x tends to 0 the function tends to negative or positive infinite. So, domain can be any real number except 0.

\(Domain=R-\{0\}\)

\(Domain=(-\infty,0)\cup (0,\infty)\)

From the given graph it is clear that the value of function can be any real number except y=0. So, range can be any real number except 0.

\(Range=R-\{0\}\)

\(Range=(-\infty,0)\cup (0,\infty)\)

Therefore, the correct option is B.

Answer: I do not understand

Step-by-step explanation:

There are 3 terms in expression 7\(x^{2}\)-5x+5.

Monomials, binomials, trinomials, and polynomials are all examples of algebraic expressions in mathematics. Algebraic expressions are those that are modeled utilizing unknowable constants, coefficients, and variables. A variable can have any value because it is not fixed, unlike a constant, which has a definite value. Monomials, binomials, trinomials, and polynomials are examples of algebraic expressions that are created by combining variables and constants using arithmetic operations. Terms are the components of algebraic expressions that are separated by addition or subtraction. The type of expression—monomial, binomial, trinomial, or polynomial—depends on the number of terms.

An algebraic expression with three terms is called a trinomial.

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The probability that the sum of the two selected numbers is even is 1/2.

The parity of the two chosen numbers must match for the sum to be even.

Given this information, we can divide the larger problem into smaller ones. First, we may determine the likelihood that the first spinner will land on an even number.

Exists a \($\frac{1}{2}$\) chance that this happens, and a \($\frac{1}{3}\) there is a chance that the second spinner will also land on an even number, hence

\($\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}$\)

There is a win if both the first and second spinners land on an odd number.

\($\frac{1}{2} \cdot \frac{2}{3} = \frac{2}{6}$\)

chance of this happening. Adding these two probabilities together, we get

\(\frac{1}{6} +\frac{2}{6} =\frac{3}{6} =\frac{1}{2}\)

Therefore, The probability that the sum of the two selected numbers is even is 1/2.

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Answer:

(0,-16)

Step-by-step explanation:

Answer:

625, 125, 25, 5

Step-by-step explanation:

390625, 78125, 15625, 3125

We need to find out the relationship between a number and the previous number.

We can tell that there is no common difference since 78125 - 390625 cannot possibly equal 3125 - 15625.

We can try to check if this is a geometric sequence.

78125/390625 = 0.2

15626/78125 = 0.2

3125/15625 = 0.2

Each number is 1/5 of the previous number.

3125/5 = 625

625/5 = 125

125/5 = 25

25/5 = 5

Answer: 625, 125, 25, 5

Teniendo en cuenta la definición de sistema de ecuaciones lineales, las edades de los hermanos son 15 y 23 años.

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:

Por un lado, las edades de dos hermanos suman 38 años. Esto se expresa mediante: x+y= 38

Por otro lado, la edad de uno es superior en 8 años a la edad del otro, expresado mediante x=y +8

Entonces, el sistema de ecuaciones a resolver es:

\(\left \{ {{x+y=38} \atop {x=y+8}} \right.\)

Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución, que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.

En este caso, en la segunda ecuación la variable "x" ya se encuentra aislada. Entonces, reemplazando dicha expresión en la primer ecuación se llega a:

y +8 +y= 38

Resolviendo:

2y + 8=38

2y= 38 -8

2y=30

y=30 ÷2

y=15

Finalmente, para obtener el valor de y se reemplaza en la  segunda ecuación, y resolviendo se obtiene:

x= y + 8

x= 15 + 8

x=23

Finalmente, las edades de los hermanos son 15 y 23 años.

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Answer: 19°

Step-by-step explanation: 90+71= 161

180-161= 19

(correct me if i’m wrong):)

Answer:

5\(\pi\)+40

Step-by-step explanation:

perimeter of circle=2\(\pi\)r

so 5 is r(radius)

so 10\(\pi\), but since it’s semicircle, you have to divide by 2, so

5\(\pi\)

perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40

so 5\(\pi\)+40

Answer:

4 yards

Step-by-step explanation:

Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

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The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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Answer:

c d

Step-by-step explanation:

no explanation

take out a minus from first two fractions

Answer:

Rs. 6175

Step-by-step explanation:

Number of dress materials purchased = 6

Cost of each dress material = Rs.1235

Number of shirts purchased = 5

Cost of each shirt = Rs.1635

How much does she spend for dress materials?

Total cost of dress material = Number of dress materials purchased × Cost of each dress material

= 5 × Rs.1235

= Rs. 6175

Total cost of dress material = Rs. 6175

If the calculated required sample size is a non-integer value, we should always round up the calculated value

When calculating the required sample size for a study, the sample size formula often involves a combination of statistical parameters such as the desired level of significance, the desired power of the study, the expected effect size, and the variability in the data. Sometimes, these parameters may result in a non-integer value for the required sample size.

In such cases, it is important to round up the calculated value to the nearest whole number, as it is not possible to have a fraction of a participant in the study. This ensures that the sample size is large enough to adequately represent the population and achieve the desired level of statistical power.

For example, if a calculated sample size is 123.4, it should be rounded up to 124 to ensure that the sample is large enough to produce reliable and accurate results. Failing to round up can result in an underpowered study, which may lead to false negative results or failure to detect significant effects.

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Answer:

sorrry man dk

Step-by-step explanation:

The price of the light as a function of x is given by the exponential function:

\(p(x) = \$375*(0.98)^x\)

We know that the original price of the light is $375.

This value decreases a 2% each year, so each year we need to multiply the above price by (1 - 2%/100%) = (1 - 0.02) = 0.98

Then, if x represents the number of years, the price of the light as a function of x is given by the exponential function:

\(p(x) = \$375*(0.98)^x\)

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The limit does not exist and is not defined.

We have,

Based on the given function f(x) = \(2^{2-25x}/(x-5)\),

To find the limit of a function as x approaches a, we evaluate the behavior of the function as x gets arbitrarily close to a. In this case, we are interested in the limit as x approaches a for both smaller and larger values of x.

For the smaller value of x approaching a, the limit does not exist and is not defined if the function approaches different values from the left and right sides of a.

In other words, if the left-hand limit and the right-hand limit are not equal, the overall limit does not exist.

For the larger value of x approaching a, the same principle applies.

If the left-hand limit and the right-hand limit are not equal, the limit does not exist.

Based on the information provided, it seems that the limit for both the smaller and larger values of x approaching a does not exist and is not defined.

Therefore,

The limit does not exist and is not defined.

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Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

Answer: 6×6×5×4×3 = 2160

Explanation: Five digit numbers can be formed.

I believe the difference is 5 degrees Fahrenheit.

Therefore, option (a) is correct. We are given that the integers that are congruent to 5 modulo 17 are to be identified. We can do this by adding or subtracting 17 to 5, until we get the required numbers.

Here,\(17 × 6 = 102\)So, the numbers which are 5 more than a multiple of 17 are \(17 × 6 + 5 = 103\)And the numbers which are 5 less than a multiple of 17 are \(17 × 7 − 5 = 110\) and so on..

Therefore, the integer 103 is congruent to 5 modulo 17. In other words, \(103 ≡ 5\)(mod 17).

\(−29, -46, -63, -80, -97, -114, -131\)

Therefore, -29 is not congruent to 5 modulo 17.

So, option (b) is incorrect.

If we add 17 to 56 until we get the required numbers, we get the sequence as shown below:56, 73

Therefore, 56 is not congruent to 5 modulo 17.

So, option (d) is incorrect.

Therefore, the correct option is only (a) 103.

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The R function provided calculates the 1-norm of an m×n matrix by summing the absolute values of each column and returning the maximum sum. It was tested with a specific matrix, resulting in a 1-norm value of 15.

Here's an R function that calculates the 1-norm of a given matrix:

```R

matrix_1_norm <- function(A) {

 num_cols <- ncol(A)

 norms <- apply(A, 2, function(col) sum(abs(col)))

 max_norm <- max(norms)

 return(max_norm)

}

# Test the function

A <- matrix(c(1, -2, -10, 2, 7, 3, -5, 0, -2), nrow = 3, ncol = 3, byrow = TRUE)

result <- matrix_1_norm(A)

print(result)

```

The function `matrix_1_norm` takes a matrix `A` as input and calculates the 1-norm by iterating over each column, summing the absolute values of its elements, and storing the column norms in the `norms` vector.

Finally, it returns the maximum value from the `norms` vector as the 1-norm of the matrix.

In the given example, the function is called with matrix `A` and the result is printed. You should see the output:

```

[1] 15

```

This means that the 1-norm of matrix `A` is 15.

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