Construct the confidence interval for the population mean H. c=0.90, x = 4.1, r=0.2, and n=51 A 90% confidence interval for p is (Round to two decimal places as needed.)

Answer:

\(V=108\ \text{inches}^3\)

Step-by-step explanation:

Given that,

The height of a rectangular pyramid is 4 inches

The base of the pyramid measures 9 inches by 9 inches.

We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :

\(V=\dfrac{lbh}{3}\)

Substitute all the values,

\(V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3\)

So, the volume of the rectangular pyramid is \(108\ \text{inches}^3\).

0.167 I believe!

<3

I'm sure you'll do great!

Answer:

0.167(rounded 3dp)

Step-by-step explanation:

100/6=16.6666...

\(\frac{16.666}{100}\)= \(\frac{1}{6}\)

\(\frac{16.666}{100}=(into decimal)0.167\)

To determine the sample size needed to estimate the proportion of crimes in which firearms are used within a certain margin of error and confidence level, we can use the following formula:

n = (\(Z^2\) * p * (1 - p)) / \(E^2\)

where:

n is the sample size

Z is the Z-score associated with the desired level of confidence (1.645 for 90% confidence)

p is the estimated proportion of successes in the population (we don't have an estimate, so we'll use 0.5, which gives the maximum sample size)

E is the desired margin of error

Substituting these values into the formula, we get:

n = (\(1.645^2\) * 0.5 * (1 - 0.5)) / 0.0\(2^2\)

n = 601.41

Rounding up to the nearest integer, we get a sample size of 602. Therefore, the U.S. Crime Commission should sample at least 602 crimes to estimate the proportion of crimes in which firearms are used within 0.02 with 90% confidence.

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The value of m that completes the given equation is 49/4

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.

Given the following equation

x^2 + 7x + m = 31 + m

Complete the square

x^2 + 7x + (7/2)^2 = 31 + (7/2)^2

Simplify to give;

x^2 + 7x + 49/4 = 31 + 49/4

Comparing with the original equation we will see that m = 49/4.

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Answer:

240

Step-by-step explanation:

Answer:

D.

Mark me brainliest :))

Answer: Is 86 your welcome have a nice labor day

Step-by-step explanation:

Answer: Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation: i hope this helps you

Answer:

Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation:

Given:

Book club A charges $20 for membership and $2 per book rental.

Book club B charges $10 for membership and $3 per book rental.

To find:

The number of books for which the cost be the same at both book clubs.

Solution:

Let x be the number of books.

Book club A charges $20 for membership and $2 per book rental. So, the total cost is

\(C_1=20+2x\)             ...(i)

Book club B charges $10 for membership and $3 per book rental. So, the total cost is

\(C_2=10+3x\)            ...(ii)

Equating (i) and (ii), we get

\(10+3x=20+2x\)

\(3x-2x=20-10\)

\(x=10\)

The total cost is

\(C_1=20+2(10)\)

\(C_1=20+20\)

\(C_1=40\)

Therefore, the total cost at both book clubs are same for 10 rental books and that cost is $40.

Answer:

  swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...

Answer:

Angle 3 is 65°, Angle 8 is 115°

Step-by-step explanation:

Angle 3 and 1- Linear Pair

Angle 8 and 1- Alternate Exterior

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

Pls complete the question

Step-by-step explanation:

Answer: how can I find the answer

Step-by-step explanation:

Answer: r= -1000

Step-by-step explanation:

Solve for r by simplifying both sides of the equation, then isolating the variable

Answer:

-1000

Step-by-step explanation:

-4 x 250 = -1000

-1000/-4= 250

PLZ MARK BRAINLIEST

have a great day! :)

X is normally distributed with mean 5 and standard deviation 0.4.  The value of Xo is 5.52.

To find the value of Xo, we need to convert the given probability to a z-score using the standard normal distribution.

The z-score formula is given by:

z = (X - μ) / σ

Where:

X is the observed value

μ is the mean of the distribution

σ is the standard deviation of the distribution

In this case, the mean (μ) is 5 and the standard deviation (σ) is 0.4. We are given that P(X ≤ Xo) is equivalent to P(Z ≤ 1.3), which means we need to find the value of Xo that corresponds to a z-score of 1.3.

To find the value of Xo, we rearrange the formula:

Xo = z * σ + μ

Plugging in the values, we have:

Xo = 1.3 * 0.4 + 5

Xo = 0.52 + 5

Xo = 5.52

Therefore, the value of Xo is 5.52.

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If the test statistic ends up being negative the sample statistic is smaller than the claimed population parameter that is option a.

In hypothesis testing, the test statistic measures how many standard errors the sample statistic is away from the hypothesized population parameter under the null hypothesis. A negative test statistic indicates that the sample statistic is smaller than the claimed population parameter, which means that the observed effect is in the opposite direction of what was expected under the null hypothesis.

Therefore, if the test statistic ends up being negative, we can conclude that the sample statistic is smaller than the claimed population parameter. This suggests that there may be a significant difference between the sample and population, which could be due to factors such as sampling error or a true difference in the population.

Options a, b, and c are not correct because the sample size, sample statistic, and probability value do not determine the sign of the test statistic. Option e is not necessarily true because a negative test statistic does not always lead to rejection of the null hypothesis; it depends on the significance level and the directionality of the test.

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The number of students who study Indonesian only = 10

Total pupils= 110

Study French = 88

Study Indonesian = 65

Study French and German = 40

Study German and Indonesian = 38

Study French and Indonesian = 26

Study German only = 19

Students who study German only = G - F∩G - G∩I + F∩G∩I

                                                     19= 88-40-38 + F∩G∩I

                                                   F∩G∩I = 9

Students who study all three languages = 9

So the students who study only Indonesian = I - F∩I - G∩I + F∩G∩I

                                                                        = 65- 38-26+ 9

                                                                        = 10

Therefore the number of students studying Indonesian only = 10.

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The complete question is:

In a certain school, there are 180 pupils in Year 7. One hundred and

ten pupils study French, 88 study German and 65 study Indonesian.

Forty pupils study both French and German, 38 study German and

Indonesian, and 26 study both French and Indonesian, while 19 study

German only. Find the number of pupils who study Indonesian only.

Answer:

40 minutes

Step-by-step explanation:

Let c represent the number of minutes it would take colleen to finish the job when he is working alone. Hence, it can be represented by the equation:

\(\frac{1}{c}+\frac{1}{c+20} =\frac{1}{24} \\\\Finding\ the\ L.C.M\ of\ the\ fraction\ to\ get\ 24c(c+20)\ as\ the\ L.C.M.\\Multiply\ the\ whole\ equation\ by\ 24c(c+20):\\\\\frac{1}{c}(24c(c+20))+\frac{1}{c+20}(24c(c+20)) =\frac{1}{24}(24c(c+20)) \\\\24c+480+24c=c^2+20c\\\\48c+480=c^2+20c\\\\c^2+20c-48c-480=0\\\\c^2-28c-480=0\)

Solving the quadratic equation to get c gives:

c = -12 and c = 40

Since the time cannot be negative, hence c = 40 minutes.

It would take colleen 40 minutes to clear the yard of leaves alone

Step-by-step explanation:

See attached image for proof

Answer:

75

Step-by-step explanation:

he can download 2.5 songs per minute so 2.5 x 30 is 75

Answer:

Shane can download 75 songs in half an hour.

Step-by-step explanation:

use a proportion;

5 x

--- = ---

2 30

30/2 = 15

15 x 5 = 75

x = 75

Answer:

3.9 hours

Step-by-step explanation:

3 2/5 + 1/2 = 39/10

3 9/10 =

3.9 hours

a) Yes. (b)           G        Y        R

   G  [0.60     0.00     0.40]

   Y  [1.00     0.00     0.00]

   R  [0.30     0.20     0.50]

(c) P(G, G, G, G) = 0.216. P(G, G, G, Y)= 0.144. P(G, G, G, R) = 0.120. P(G, G, Y, R) = 0.000. P(G, Y, R, R) = 0.000. P(Y, R, R, R) = 0.000

(a) Yes, this situation represents a Markov chain because the probabilities of moving to the next state (traffic light) depend only on the current state (traffic light) and not on any previous states.

(b) The transition probability matrix is:

         G        Y        R

   G  [0.60     0.00     0.40]

   Y  [1.00     0.00     0.00]

   R  [0.30     0.20     0.50]

where G represents green, Y represents yellow, and R represents red. The transition diagram can be drawn with arrows between states labeled with the transition probabilities.

(c) There are two classes: {G, Y} and {R}, where {G, Y} is a transient class and {R} is an absorbing class.

(d) Starting with the first light being green, the probabilities after three more lights are:

P(G, G, G, G) = 0.60 * 0.60 * 0.60 = 0.216

P(G, G, G, Y) = 0.60 * 0.60 * 0.40 = 0.144

P(G, G, G, R) = 0.60 * 0.40 * 0.50 = 0.120

P(G, G, Y, R) = 0.60 * 0.00 * 0.50 = 0.000

P(G, Y, R, R) = 0.00 * 0.50 * 0.30 = 0.000

P(Y, R, R, R) = 0.00 * 0.50 * 0.50 = 0.000

The interpretation of these probabilities is, for example, that the probability of passing through four consecutive green lights is 0.216, and the probability of passing through three consecutive green lights followed by a yellow light is 0.144.

(e) Let p_G, p_Y, and p_R be the proportions of green, yellow, and red lights, respectively. Then we have the system of equations:

0.60 p_G + 0.00 p_Y + 0.40 p_R = p_G

1.00 p_Y + 0.00 p_Y + 0.00 p_R = p_Y

0.30 p_G + 0.20 p_Y + 0.50 p_R = p_R

p_G + p_Y + p_R = 1

Solving this system of equations, we get:

p_G = 0.44

p_Y = 0.14

p_R = 0.42

Therefore, approximately 44% of the street lights are green, 14% are yellow, and 42% are red.

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Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation:

Therefore, the wavelength of the photon is 13.55 micrometers.

To calculate the wavelength of a photon with a momentum of 4.9×10−29 kg⋅m/s, we can use the formula λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum. Substituting the given values, we get:
λ = h/p = (6.626×10−34 J⋅s) / (4.9×10−29 kg⋅m/s)
Simplifying this expression, we get:
λ = 1.355×10−5 m
To convert this to micrometers, we need to multiply by 10^6, so:
λ = 13.55 micrometers
Involves the use of variables (momentum, wavelength, and Planck's constant) and micrometers as a unit of measurement.

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The inverse of the given matrix is not defined.

To find the inverse of a matrix, we need to check if the matrix is invertible or non-singular. For a square matrix to be invertible, its determinant must be non-zero.

Let's calculate the determinant of the given matrix:

Det(Matrix) = (1 * 0 * 2) + (2 * 2 * 1) + (1 * 3 * 8) - (2 * 0 * 1) - (1 * 2 * 8) - (1 * 3 * 0)

= 0 + 4 + 24 - 0 - 16 - 0

= 12

Since the determinant of the given matrix is non-zero (12 ≠ 0), it implies that the matrix is invertible.

Next, we can proceed to find the inverse of the matrix by using the formula:

Matrix^(-1) = (1/Det(Matrix)) * Adjoint(Matrix)

However, before calculating the adjoint of the matrix, let's check for any possible errors in the matrix elements. The elements of the matrix you provided are not consistent, and it seems there might be a mistake. The matrix you provided (121, 302, 182) does not conform to the standard 3x3 matrix format.

In conclusion, based on the given matrix, the inverse is not defined. Please make sure to provide a properly formatted 3x3 matrix to find its inverse.

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Answer:

So, both the functions are neither even and nor odd.

Step-by-step explanation:

A function is even if g(x) = g(-x) and odd if g(x) = - g(x).

g(x) = |x-3|

g (-x ) = | -x -3 |

So, the function is neither even and nor odd.

g (x) = x + x²

g (- x) = (- x) + (- x) ² = -  x + x²

So, the function is neither even and nor odd.

Answer: 15 + 26 - 12 if you were to simplify the expression

Step-by-step explanation:

A is finite, then X - A is clearly uncountable (since it has the same cardinality as X). If A is countable but not infinite, then X - A is still uncountable (since it has the same cardinality as X). Thus, the only interesting case is when A is countably infinite.

Let X be an uncountable set and A be a countably infinite subset of X. We need to show that X - A is uncountable. By contradiction, assume that X - A is countable. Since A is countably infinite, we can list its elements in a sequence as {a1, a2, a3, ...}. Now, consider the following sequence of sets:S1 = X - {a1}S2 = S1 - {a2}S3 = S2 - {a3}...Sn = Sn-1 - {an}...Observe that each Si is obtained by removing a finite set from X, and hence Si is uncountable. Moreover, Si is a subset of Si-1 for each i, so we have an infinite descending chain of uncountable sets. This contradicts the fact that X is uncountable. Therefore, X - A must be uncountable.Note that this argument works for any uncountable set X, regardless of its cardinality. We only need to assume that A is countably infinite. If A is finite, then X - A is clearly uncountable (since it has the same cardinality as X). If A is countable but not infinite, then X - A is still uncountable (since it has the same cardinality as X). Thus, the only interesting case is when A is countably infinite.

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