Apply the function `g` to the Y-Combinator. The definition of
the Y-Combinator is: Y=λf.(λx.f(xx))(λx.f(xx)) where Y is the Y
combinator. Use the rules of reduction and equivalence to apply the
fun

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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The Probability that the student will arranged in order from shortest to tallest is 2.505210.

Probability is a branch of math which deals with the numerical description of certain events is to occur. It is the ratio of the numbers of favorable outcomes to the total number of outcomes. When solving probability problems we need to consider series of random experiments or experiments that involve several different aspects, such as drawing two cards from a deck or rolling several dice. the ability to calculate relative frequencies requires counting the number of possible outcomes of the experiment

If a class has 11 students who are to be randomly assigned seating in the order of shortest to tallest.

The total outcomes= 11! = 39916800

here the total favorable outcome is 1.so,

Probability = 1 / 39916800

                   = 2.505210

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The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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Answer:

x = 1&16

Step-by-step explanation:

f(x) = 0 then

0 =x^2 - 17x + 16

(x-1)(x-16) =0

x -1 =0 or x-16=0

x =1 & x = 16

Answer:

x = 5, x = 12.

Step-by-step explanation:

This is a quadratic function which may factor to the form (x - a)(x - b) whose zeroes are a and b.

To factor this we need two numbers whose product is +60 and whose sum is -17. They are -5 and -12 ( -5*-12 = 60 and -12 + -5 = -17).

So the factors are :

(x - 5)(x - 17)

To find the zeros we equate this to 0:

(x - 5)(x - 17) = 0

x- 5 = 0 gives x = 5

and

x - 12 = 0 gives x = 12.

Answer:

OKey

Step-by-step explanation:

its 16,2341242112

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

\(f(n)=3n\)

Therefore, the required function rule for this situation is \(f(n)=3n\).

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Given a raw probability of admission to a graduate program at Ivy League colleges of 0.14 and 12,284 independent student applicants, approximately 1,719.76 students, give or take, will be accepted.

Ivy League colleges are renowned for their highly competitive admission processes, particularly for graduate school programs. The raw probability of admission to these programs is approximately 0.14, which means that only a small fraction of applicants are accepted. To estimate the number of students who will be accepted out of the 12,284 applicants, we can multiply the probability by the total number of applicants. Therefore, 0.14 multiplied by 12,284 equals approximately 1,719.76. However, since we are dealing with a discrete number of students, it is important to note that the actual number of accepted students may vary slightly. Therefore, the estimate of 1,719.76 students should be interpreted as an approximation. In conclusion, approximately 1,719.76 students, give or take, are expected to be accepted into the graduate program based on the provided information.

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By  null hypothesis the given statement " in a two-sided test for mean, we do not reject if the parameter is included in the confidence interval."is True.

In a two-sided test for mean, if the null hypothesis is that the population mean is equal to some value μ0, then the alternative hypothesis is that the population mean is not equal to μ0.

If we compute a confidence interval for the population mean using a certain level of confidence (e.g. 95%), and the confidence interval includes the null value μ0, then we fail to reject the null hypothesis at that level of confidence.

This is because the confidence interval represents a range of plausible values for the population mean, and if the null value is included in that range, we cannot say that the data provides evidence against the null hypothesis.

However, if the confidence interval does not include the null value μ0, then we can reject the null hypothesis at that level of confidence and conclude that the data provides evidence in favor of the alternative hypothesis that the population mean is different from μ0.

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Answer: i hope i helped if not im truly sorry

Solving for 9x^2 - 25 = 0

Standard form:

9x2 − 25 = 0

Solutions based on quadratic formula:

x1  

= −0 − √ 02 − 4×9×(−25)  

2×9

= 0 − 30 × √ 1  

18

≈ −1.667

x2  

= −0 + √ 02 − 4×9×(−25)  

2×9

= 0 + 30 × √ 1  

18

≈ 1.667

Extrema:

Min = (0, −25)

Step-by-step explanation: im not dumb and im not smart

You can use either a numerical (integer or floating-point) variable or a Boolean variable to store the value of a logical expression.

Numerical Variable: You can use a numerical variable, such as an integer or floating-point variable, to store the result of a logical expression. In this case, the logical expression would be evaluated and assigned a numerical value, typically 0 or 1, representing false or true, respectively. For example, if you have a logical expression "x > 5", you can assign the result to a numerical variable like "result = (x > 5)", where the value of "result" would be 0 if the expression is false and 1 if it is true.

Boolean Variable: Alternatively, you can use a Boolean variable to directly store the truth value of a logical expression. A Boolean variable can only have two possible values: true or false. In this case, the logical expression would be evaluated and directly assigned to the Boolean variable. For example, if you have a logical expression "x > 5", you can assign the result to a Boolean variable like "isGreaterThanFive = (x > 5)", where "isGreaterThanFive" would be true if the expression is true and false if it is false.

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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Answer:

the answer is -52 I did it on a calculator

Answer:

-36uw

132b

hjk

-abc

Step-by-step explanation:

When you multiply a negative by another negative, the negative is cancelled out.  When you multiply a negative by a positive, the negative is kept.

1.) -9u(-4)(-w)

36u(-w)

-36uw

2.) -b(-12)(11)

12b(11)

132b

3.) -h(-jk)

hjk

4.) -1(-a)(-bc)

1a(-bc)

-1abc

-abc

Hope this helps! :)

Answer:

=16.970563x = -3/7

Step-by-step explanation:

There are no like terms

Answer: 12\(\sqrt{2} -\frac{3}{7}\)

Decimal form:16.541991

Step-by-step explanation:

Answer:

Equation: (304-17)/7

Answer: 41 students in each bus

Steps to solve: Subtract 17 from 304, then divide by 7

Step-by-step explanation:

This is very simple actually;

So we have 304 students and 17 took a car. We're trying to find out the number of students on each bus so we can subtract 304-17=287. Now we know 287 students are taking the bus. Now we divide by 7 because all 7 buses were filled, 287/7=41 students in each bus

Hope this helps :)

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

a) The series (+1) + 22/ns is absolutely convergent, and

b)  The series (-1)n / ln(n) is also convergent.

(a) The given series is (+1) + 22/ns.

To determine if this series is absolutely convergent, conditionally convergent, or divergent, we need to examine the behavior of the absolute values of the terms. In this case, the series of absolute values is 1 + 22/ns.

When we take the limit as n approaches infinity, we can see that the term 22/ns approaches zero, and the term 1 remains constant. Therefore, the series of absolute values simplifies to 1, which is a convergent series.

Since the series of absolute values converges, the original series (+1) + 22/ns is absolutely convergent.

(b) The given series is (-1)n / ln(n), where n starts from 2.

Similarly, we need to analyze the behavior of the series of absolute values: |(-1)n / ln(n)|.

The absolute value of (-1)n is always 1, so we are left with |1 / ln(n)|. To determine the convergence or divergence of this series, we can use the limit comparison test.

Let's consider the series 1 / ln(n). Taking the limit as n approaches infinity, we have:

lim(n→∞) (1 / ln(n)) = 0.

Since the limit is zero, the series 1 / ln(n) converges. Now, we compare the original series |(-1)n / ln(n)| with 1 / ln(n).

Using the limit comparison test, we have:

lim(n→∞) (|(-1)n / ln(n)| / (1 / ln(n))) = lim(n→∞) |(-1)n| = 1.

Since the limit is a nonzero constant, the series |(-1)n / ln(n)| behaves in the same way as the series 1 / ln(n). Therefore, both series have the same convergence behavior.

Since the series 1 / ln(n) converges, the original series (-1)n / ln(n) is also convergent.

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Answer:

yes

Step-by-step explanation:

Answer:

Yup it’s rational

Step-by-step explanation:

Have a great night!!

~ jassy ❤️

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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Answer:

24

Step-by-step explanation:

yur welcome

Based on the information provided, the missing entries are 48, 107, 209, 116, and 325.

The missing information includes:

Number of 7th graders without a pet:

This can be found by subtracting the total of students with a pet from the total 7th graders.

150 - 102 = 48

Number of 8th graders with a pet:

Subtract the total of students without a pet from the total 8th graders.

175 - 68 = 107

Total of students with a pet:

Add students with a pet:

102 + 107 = 209

Total of students without a pet:

Add students without a pet:

48 + 68 = 116

Total of students surveyed:

Add the total of students:

209 + 116 = 325

Note: This question is incomplete because the chart is missing; below I attach it.

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Answer:

12 of them

Step-by-step explanation:

2:4

4:8

6:12

Answer:

12

Step-by-step explanation:

sum the parts of the ratio, 2 + 4 = 6 parts

Divide total number of socks by 6 to find the value of one part of the ratio.

18 ÷ 6 = 3 ← value of 1 part of the ratio, thus

4 parts = 4 × 3 = 12 ← number of white socks

If a between-subjects design uses random assignment, the design will be called an independent groups design.

This means that participants are randomly assigned to either the experimental or control group, ensuring that the groups are equivalent at the start of the study. This type of design allows for a comparison of the effects of the independent variable on the dependent variable between the groups. I

t is important to note that an independent groups design is different from a matched groups design, in which participants are paired based on certain characteristics before being assigned to different groups. The use of random assignment in an independent groups design helps to control for extraneous variables and increase the internal validity of the study.

If a between-subjects design uses random assignment, the design will be called a(n) c. independent groups design. This design involves assigning participants to different experimental groups or conditions using random allocation. This ensures that each participant has an equal chance of being assigned to any group, reducing potential confounds and increasing the validity of the results. The independent groups design allows for comparison between the groups and the examination of the effects of the independent variable on the dependent variable.

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Answer:

8684787

Step-by-step explanation:

By following the steps: identify the shape, finding area of the base, determining the height, and calculating the volume you can find the volume of any prism or cylinder in your EnVision Geometry Practice 11-2 problem set.

1. Identify the shape: Determine whether you are dealing with a prism or a cylinder. A prism has a polygonal base, and a cylinder has a circular base.

2. Find the area of the base: For a prism, calculate the area of the base using the appropriate formula for the polygon. xplanation:
For a cylinder, calculate the area of the base using the formula for the area of a circle (\(A = \pi r^2\)), where r is the radius.

3. Determine the height: Find the height of the prism or cylinder, which is the perpendicular distance between the bases.

4. Calculate the volume: Use the appropriate formula for the shape you're dealing with:
  - For a prism: Volume = (area of base) × height
  - For a cylinder: Volume = (area of base) × height, or \(V = \pi r^2 * h\)
By following these steps, you can find the volume of any prism or cylinder in your EnVision Geometry Practice 11-2 problem set. Good luck!

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