1.64/22 with estimation and an explanation?

Answer:

117 miles per hour

Step-by-step explanation:

Hope this helped,Have a Wonderful Day!!

The formula for the variance of the MLE estimator of β₀ is:

Var(β₀) = {σ²}{n} [ 1 + x²} / {∑{i=1}ⁿ (x_i - x²}

For the simple linear regression model, we have:

\(y_{i} = \beta_{0} + \beta _{1} x_{i} + epsilon_{i}\)

where y(i) is the response variable, x (i) is the predictor variable, β₀ and β₁ are the intercept and slope parameters, and ∈(i) is the error term.

To find the variance of the MLE estimators of β₀ and β₁, we first need to derive the MLEs for these parameters:

β₁= {sum{i=1}ⁿ (xi - {x})(y_i - {y})}/{{i=1}ⁿ (x_i - {x})²}

β₀ = {y} -  β₁x

where x and y are the sample means of the predictor and response variables, respectively.

Next, we need to find the variances of these estimators. The formula for the variance of the MLE estimator of β₁ is:

$Var( β₁) = σ²∑{i=1}ⁿ (x_i - x²)

where , σ² is the variance of the error term.

And, the formula for the variance of the MLE estimator of β₀ is:

Var(β₀) = {σ²}{n} [ 1 + x²} / {∑{i=1}ⁿ (x_i - x²}

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Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

\(\sqrt{x} 650.25\)=c units 2

25.5

Answer:

16.6%=83500 , this is roughly equal to 16

Answer:

18

Step-by-step explanation:

Answer:

7(10−\(2^{3}\))+ \(\frac{8}{2}\)

=18

Step-by-step explanation:

7(10−\(2^{3}\))+\(\frac{8}{2}\)

=7(10−8)+ \(\frac{8}{2}\)  

=(7)(2)+\(\frac{8}{2}\)  

=14+\(\frac{8}{2}\)  

=14+4

=18

The volume of the rectangular piece of iron is 6.96 × 10^(-7) m³, obtained by multiplying the given dimensions and adjusting the exponent accordingly.

To calculate the volume of a rectangular piece of iron, we multiply the lengths of its sides. The given dimensions are 7.08 × 10^(-3) m, 2.18 × 10^(-2) m, and 4.51 × 10^(-3) m.

Volume = Length × Width × Height

Volume = (7.08 × 10^(-3) m) × (2.18 × 10^(-2) m) × (4.51 × 10^(-3) m)

To multiply these numbers, we add the exponents and multiply the coefficients:

Volume = 7.08 × 2.18 × 4.51 × 10^(-3 + (-2) + (-3)) m³

Volume = 6.96 × 10^(-7) m³

Therefore, the volume of the rectangular piece of iron is 6.96 × 10^(-7) m³, as stated in the options.

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Answer: 13/2 or 6 1/2

Step-by-step explanation:

6 × 1 + 5 × 1/10

6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5

6 + 1/2

Use 2 as a common denominator so multiply 6 by 2

12/2 + 1/2

13/2 or 6 1/2

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer: To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

+

2

√

3

,

0

)

,

(

2

−

2

√

3

,

0

)

y-intercept(s):

(

0

,

8

)

Step-by-step explanation: To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

+

2

√

3

,

0

)

,

(

2

−

2

√

3

,

0

)

y-intercept(s):

(

0

,

8

)

Answer:          $9.00

.......................................

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z  = 1.03

So, The value of the z score is 1.03.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

2a

Step-by-step explanation:

a+1a is the same as a+a=2a

Answer: 62 inches

Step-by-step explanation:

26÷13 =2

so 2 is the scale factor

so 36÷2= 18

18+18+13+13=62

I HOPE THAT HELPED

9514 1404 393

Answer:

  a) 10(3x+2) ≤ 140; x ≤ 4

  b) no

Step-by-step explanation:

a) The area is the product of length and width. We want that product to be no greater than 140:

  10(3x +2) ≤ 140 . . . . your inequality

We can solve this by dividing by 10 first.

  3x +2 ≤ 14

  3x ≤ 12 . . . . . . subtract 2

  x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality

__

b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.

Answer:

your answer should be 15

Step-by-step explanation:

"Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan" is a valuable resource for anyone seeking a comprehensive introduction to Bayesian modeling and analysis, complemented by practical implementation using widely used software tools.

"Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan" is a comprehensive book that provides an introduction to Bayesian statistical modeling and analysis using three popular tools: R, JAGS (Just Another Gibbs Sampler), and Stan.

The book is written by John Kruschke and serves as a practical guide for beginners and intermediate users who want to learn Bayesian data analysis.

The tutorial covers various topics such as probability, Bayes' rule, hierarchical models, model comparison, and model checking. It emphasizes the practical implementation of Bayesian methods using R for data manipulation, JAGS for model specification and estimation, and Stan for more complex modeling tasks.

By focusing on three different software tools, the book provides a versatile approach to Bayesian data analysis, allowing readers to choose the tool that best suits their needs.

With numerous examples, code snippets, and exercises, it offers a hands-on learning experience for those interested in applying Bayesian methods to their own data.

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Using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum is -6.4, 3.8, -1.0.

1) Integral with left end points:

         A-left = -3.4*2 + (-0.6)*2 + 0.8*2 = -6.4

2) Integral with right end points:

        A-right = -0.6*2 + 0.8*2 + 1.7*2 = 3.8

3) Integral with midpoints:

         A-mid = -2.2*2 + 0.2*2 + 1.5*2 = -1.0

A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.

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Answer:

You got it right, 1/4.

Explanation:

Every 2 lines is a container, which adds up to 8 containers in two separate groups, representing the 2 gallons. So, looking at the letters, you can see that every 2 letters, is 1/4 of one of the gallons.

(hope that made some sort of sense)

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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Answer: C= 25.12

Step-by-step explanation:

Circumference formula: 2nr

The radius of the circle is half of the diameter

If diameter is 8, then the radius is 4

C = 2 x 3.14 x 4

C = 25.12

Answer:

217 oz

Step-by-step explanation:

You can easily eliminate 5 oz because 217 oz is larger already

Now all you have left is 13 lbs and 217 oz

217 oz is about 13.6 lbs

So 217 oz is the largest

Answer:

(x,y)= (2/15, -(62/15)

Step-by-step explanation:

Answer:

Step-by-step explanation:

no solutions

2x+2y=-4 divide 2

x+y=-2

x+y=3

Answer:

Sightseeing

Step-by-step explanation:

Answer:

The price of the regular gasoline is $2.46, while the premium is $2.67.

Step-by-step explanation:

Let the price of regular gasoline be "x", while the price for the premium be "y", The sum of the amount of each type of gas multiplied by its cost should be equal to the total paid, therefore:

\(8*x + 8*y = 41.04\)

We also know that the premium gas costs 0.21 more than the regular one, therefore:

\(y = x + 0.21\)

We can apply the second expression on the first, in order to solve for "x".

\(8*x + 8*(x + 0.21) = 41.04\\8*x + 8*x + 1.68 = 41.04\\16*x = 41.04 - 1.68\\16*x = 39.36\\x = \frac{39.36}{16} = 2.46\)

\(y = 2.46 + 0.21 = 2.67\)

The price of the regular gasoline is $2.46, while the premium is $2.67.

Answer:

x = 5

Step-by-step explanation:

You need to find de value of x.

4x - 1 = 18

4x = 18 + 1

4x = 19

x = 19/4

x = 4,75 but, the questions says:  smallest integer value, so, the smallest is the integer number more near of 4,75, which is 5.

testing:

x = 5

4*5 - 1 > 18

20 -1 > 18

19 > 18 TRUE

x = 4

4*4 - 1 > 18

16 - 1 > 18

15 > 18 FALSE

No, one mole is not equal to one gram. For an object, the mole and gram numerical values differ.

1 gram, what is it?

One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.

The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.

A mole's relationship to a gram is

The product of the number of Moles of an object to its atomic weight equals one gram.

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Answer:

Step-by-step explanation:

A(-7,2) ; C(3 , -2)

m:n = 3: 1

\(B(x_{1},y_{1})=(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})\\\\\=(\frac{3*3+1*[-7]}{3+1} ,\frac{3*[-2]+1*2}{3+1})\\\\\\=(\frac{9-7}{4} ,\frac{-6+2}{4})\\\\\\=(\frac{2}{4} ,\frac{-4}{4})\\\\\\=(\frac{1}{2} ,-1)\\\\=(0.5 , -1)\)

The statistical test that would be appropriate to compare the anthers painted purple treatment and the control is: the chi-square goodness of fit test.

The chi-square goodness of fit test is used to determine if observed categorical data follows an expected distribution. In this case, the researcher wants to compare the effect of painting the anthers purple (treatment) with the control group (unmanipulated flowers) to see if there is a statistically significant difference in the development of fruits.

The researcher can set up two categories: "Developed into fruits" and "Did not develop into fruits." They can then compare the observed frequencies in these categories for the treatment group (anthers painted purple) with the expected frequencies based on the control group.

By applying the chi-square goodness of fit test, the researcher can assess whether the observed frequencies in the treatment group differ significantly from the expected frequencies based on the control group. If the p-value associated with the chi-square test is below the chosen significance level (e.g., 0.05), it suggests a statistically significant difference between the two groups.

Regarding the importance of stamens (or the contrast between stamens and corolla) in attracting pollinators, this is a separate question that requires empirical evidence. While stamens and their color contrast with the corolla can play a role in attracting pollinators, it is essential to conduct specific experiments or observational studies to evaluate their significance in the context of the particular flower species and pollinator interactions involved.

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when petals are considered collectively they are called the corolla). There were three treatments: 1) The stamens of some flowers were removed, 2) The stamens (normally yellow) of some flowers were painted to match the color of the corolla, 3) The corolla was removed from some flowers. If a flower is cross-pollinated, fertilization takes place a few hours later, and the lower central part of the flower known as the ovary expands into and becomes a fruit (picture a small tomato). The control flowers were unmanipulated but tagged like all the other flowers so the researcher could count how many of the flowers developed into fruits. flowers developed into fruits. Which statistical test would you use to compare the anthers painted purple treatment and the control to see if they are statistically discernable? You don't have to answer this question, but do you think the stamens (or the contrast between the stamens and the corolla) are important for attracting pollinators?

chi square goodness of fit test
chi square test for association
two-way ANOVA
two t-tests

Answer:

Bjorn sends 12 messages.

Step-by-step explanation:

Bjorn sends b messages, while Irina sends six times as many messages as Bjorn, which means that Irina sends 6b messages. We also know that Irina sends 72 messages. Therefore, 6b must be equal to 72. If 6b = 72, b = 72/6, which simplifies to b being equal to 12.

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