Which of the following are properties of the​ Student's t-distribution?
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Part 1
Select all that apply.
A.The​ t-distribution is centered at
μ.
B.
The area in the tails of the​ t-distribution is slightly greater than the area in the tails of the standard normal distribution.
C.
The area under the​ t-distribution curve is 1.
D.
At the sample size n​ increases, the density curve of t gets closer to the standard normal density curve.
E.
The​ t-distribution is the same for different degrees of freedom.

Answer:

lower right

Step-by-step explanation:

The lower quartile is located at the left side of the box

The upper quartile is located at the right side of the box

The lower quartile 24 and upper quartile 42

are positioned correctly on the lower right box plot

Answer: B and D

Step-by-step explanation:

Answer:

A number that can be expressed in the form of \(\[(a+bi)\]\) is called the complex number , where \(\[a,b\]\) are real numbers and \(\[i\]\) is imaginary numbers.

Step-by-step explanation:

• Given problem \(\[(-2+i)(3-6t)\]\) we have to find that the given number is complex or not . In order to do so we have to expressed the number in form of \(\[(a+bi)\]\) .

• If we got this form then number is complex number otherwise it is real number.

       \(& (-2+i)(3-6t) \\ & -6+3i+12t-6ti \\ & (-6+12t)+i(3-6t) \\\)

• We got the \(\[(a+bi)\]\) form .Therefore number is complex number.

• Hence option four is correct.

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After 15 minutes, the container will have 3 gallons of water left

The leak rate of the container can be determined by the following formula:

Rate of Leak (L) = (6 - 4) / 10 = 0.2 gallons/minute

This means that the container is leaking 0.2 gallons of water per minute. To calculate the amount of water that is left in the container at any given time, we can use the following formula:

Amount of Water Left (W) = 6 - (Rate of Leak x Time)

For example, if we want to know how much water is left in the container after 15 minutes, we use the following calculation:

W = 6 - (0.2 x 15) = 6 - 3 = 3 gallons

Therefore, after 15 minutes, the container will have 3 gallons of water left. This calculation can be used to determine how much water is left in the container at any given time.

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True. The coefficient of determination (R²) measures the proportion of the variation in the dependent variable that is explained by the regression model.

In statistics, the coefficient of determination (denoted R² or r² and pronounced "R squared") is used in the context of statistical models whose main purpose is either the prediction of future results or the testing of hypotheses, on the basis of other related information.

It is also known as the multiple correlation coefficient or the multiple determination coefficient. It is the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

In a simple regression model, this is the square of the correlation between the dependent variable and the single independent variable.

Hence, the given statement is True.

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Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x      + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

    + 4   + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

The recursive rule for the sequence aₙ = 1 / ( 2n + 5 ) is written as aₙ    = a₍ ₙ ₋ ₁ ₎ + [1/(2n + 5) - 1/(2(n-1) + 5)] for n > 1.

The sequence is equal to,

aₙ = 1 / ( 2n + 5 )

The recursive rule for the sequence aₙ = 1 / ( 2n + 5 ) is equals to,

Substitute the value of n = 1 in the sequence we have,

a₁ = 1 / ( 2 × 1 + 5 )

⇒ a₁ = 1 / ( 2 + 5 )

⇒ a₁ = 1/7

aₙ = 1/(2n + 5)

   = a₍ ₙ ₋ ₁ ₎ + [1/(2n + 5) - 1/(2(n-1) + 5)] for n > 1.

The value of a₍ ₙ ₋ ₁ ₎ for the given sequence is equals to ,

a₍ ₙ ₋ ₁ ₎ = 1/(2(n-1) + 5)]

Therefore, the recursive rule for the given sequence is equals to aₙ    = a₍ ₙ ₋ ₁ ₎ + [1/(2n + 5) - 1/(2(n-1) + 5)] for n > 1.

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Answer:

D. 0.77

Step-by-step explanation:

Jonas builds a snow fort. He tells his friends it is 0.8 meters tall inside, but he rounded the height to the nearest tenth. Which could be the height of the snow fort before Jonas rounded it?

Check all options by rounding to the nearest tenth

A. 0.89 m

= 0.9 m

B. 0.74 m

= 0.7 m

C. 0.85

= 0.9 m

D. 0.77

= 0.8 m

Note: Digits 0 - 4 are rounded down while digits 5 - 9 are rounded up

Rounding to the nearest tenth means having one digits after the decimal point

Answer:

132, (D)

Step-by-step explanation:

area = base * height

= (5 + 6) * 12 = 11 * 12 = 132

Answer:

The answer is D, 132 cm^2! Brainleist pls!

Answer:

Hello there!

4 and 2 are coefficients.

A coefficient is a number before a variable.

Hope it helps! :)

Step-by-step explanation:

The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.

When should you employ both the T568A and T568B standards and what are their differences?

What is T568B standard?

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Answer:

A rational number is a number such as -3/7 that can be expressed as the quotient or fraction a/b of two integers, a numerator q and a non-zero denominator b. Every integer is a rational number: for example, 10 = 10/1.

No.

\(5 \frac{1}{3} \)

So we can turn from 5 1/3 to 16/3

Note that 16/3 makes infinity decimal but if the infinity decimal can be turnt into a fraction, it will be classified as rational number.

We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

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Answer:

Step-by-step explanation:

Answer:

=3

Step-by-step explanation:

given the general form ax2 +bx+c=0

there exist two solutions where: a=1,b=3andc=3

Answer:

Step-by-step explanation:

Bottom triangle

Area = b * height

b = 4 + 4 = 8 cm

h = 5.75

Area = 1/2 * 5.75 * 8

Area = 23 cm^2

Trapezoid

b1 = 8

b2 = 4

h = 2

Area = (b1 + b2)*h/ 2

Area = (8 + 4)*2 /2

Area = 12

Total area = 23 + 12

Total area = 35

Answer:

y-axis is located 4 units from point M

Explanation:

Given that the point M is located at;

we want to find what is located 4 units from M.

Points A,B and C are all more than 4 units point M.

Point M is 6 units from the x-axis.

Point M is 4 units from the y-axis.

Therefore, y-axis is located 4 units from point M

Answer:

8

Step-by-step explanation:

d=√(−5−3)2+(−2−(−2))2

d=√(−8)2+(0)2

d=√64+0

d=√64

d=8

Answer:

W X = 83

W Y = 119

X Y = 36

Step-by-step explanation:

W X = 3y + 11

W Y = 6y - 25

X Y = y + 12

Answer:

✔ 360°

Identify the following angle measures.

m∠2 = ✔ 60

m∠4 = ✔ 150

m∠6 = ✔ 90

Step-by-step explanation:

i just finished answering the question

Answer:

C

B

B

C

Step-by-step explanation:

for the lazy ppl

Your garden should look like a circle with all the identified circle parts as shown in the image below.

Using the diagram given showing a circle with O as the center, parts of a circle include:

Therefore, your garden should look like a circle with all the identified circle parts as shown in the image below.

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Answer:

x = 0, x = - 1

Step-by-step explanation:

The solutions are at the points of intersection of the graphs of f(x) and g(x)

The points of intersection occur at x = 0 and x = - 1

Then the solutions are x = 0, x = - 1

Answer:

9.1*10^-4 sit-ups per square second

Step-by-step explanation:

Given data

Initial speed= 5/7 = 0.71 sit-ups per second

Time interval= 180 seconds

Final speed= 7/8 = 0.875 sit-ups per second

Hence the acceleration is given as

a= v-u/t

a= (0.875- 0.71)/180

a= 0.165/180

a=0.00091666666

a= 9.1*10^-4 sit-ups per square second

Answer:

-8

Step-by-step explanation:

f(1) = -2

g(4)= 6

-8 *(-2) -4 * 6 = 16 -24 = -8

Given:

The graph of set of ordered pairs.

To find:

The domain of the set of number.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the set of ordered pair is:

{(1,2), (2,4), (3,1), (4,6), (5,4), (6,5)}

Here, the x-values are 1, 2, 3, 4, 5, 6. So, the domain is the set of these values.

Domain = {1, 2, 3, 4, 5, 6}

Therefore, the correct option is A.

Answer:

I can't currently fully answer, hoping someone can come along and help-

Step-by-step explanation:

separate the shape into 3 triangles and 1 rectangle and then add all the areas together

area of a triangle is 1/2 base times height and area of a rectangle is length multiplied by width

To estimate the average height of black spruce trees in a 1,000 ha plot with 99% confidence that the estimate is within 0.5 m, you need a sample size of at least 19. This is based on the standard deviation of tree heights in a nearby location of 1.10 m as determined in a study conducted last year.

To estimate the average height of black spruce trees in a 1,000 ha plot with 99% confidence that the estimate is within 0.5 m, we can use the formula for sample size calculation:

n = (z² × σ²) / E²

Where:

n = sample size

z = z-score for the desired confidence level (99% confidence level corresponds to a z-score of 2.576)

σ = standard deviation (1.10 m)

E = margin of error (0.5 m)

Plugging in the values into the formula, we get:

n = (2.576² × 1.10²) / 0.5²n = 18.15.

Therefore, the sample size must be at least 19 black spruce trees to have 99% confidence that the estimate is within 0.5 m.

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Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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Answer:

4.30000x(1+3%)x10%=$3090

5. 20x1.5x2.1=63

Step-by-step explanation:

When the patient recovery time from a specific surgical procedure is normally distributed, with a mean of 5.2 days and a standard deviation of 2.3 days, the probability of spending more than 2 days in recovery will be 0.61.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. Information about the likelihood that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

Here,

z=(X-μ)/σ

X=2

μ=5.2

σ=2.3

Z=(2-5.2)/2.3

Z=-1.39

-1.39+1

=0.39

1-0.39=0.61

The probability of spending more than 2 days in recovery will be 0.61 when the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days.

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