i need an expression for d and how far the star is from the sun

The value of the corresponding effect size r square is 0.3025

We have correlation to be given as  0.55

Then r squared = 0.55

Then we would have

r = 0.55 x 0.55

= 0.3025

Hence we conclude that if A researcher finds a correlation of 0.55 between an x and a y variable. assume alpha = .05 and a one-tailed test, the value of the corresponding effect size is 0.3025.

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Answer:

Neptune is 4.495 billion far from the sun and mars is 227.9 million km

the anwer is 4.2671 i guess

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

To find the critical value for a left-tailed test with a significance level of 0.10 using the z table, we need to locate the z-score that corresponds to an area of 0.10 in the left tail of the standard normal distribution.

The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The z table provides the cumulative probability values for different z-scores.

Since we are conducting a left-tailed test, we are interested in finding the z-score that represents the critical value. This z-score will have an area of 0.10 to the left of it.

Using the z table, we look for the closest value to 0.10 in the body of the table. The closest value is typically found in the leftmost column (corresponding to the tenths digit) and the top row (corresponding to the hundredths digit).

In this case, the closest value to 0.10 in the z table is 1.28. This means that the critical value for the left-tailed test with a significance level of 0.10 is -1.28 (negative because it is in the left tail).

Therefore, the critical value for the left-tailed test with a = 0.10 is -1.28.

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Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

As given in the question,

Condition for the expression:

Sally and Anne both went for a movie.

Each one purchased a drink.

Shared one popcorn and one veggie bought by them.

Consider movie ticket price = 9

drink price = 1.35

Popcorn price = 3.50

Veggie price = 1.74

Explanation for different expressions are:

1. one-half (9 + 1. 35 + 3. 50 + 1. 74)

Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.

2.  9 + 1. 35 + one-half (3. 50 + 1. 74)

This is correct option as it represents :

Movie ticket price = 9

Drink = 1.35

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

3. 18 + 2. 70 + one-half (3. 50 + 1. 74)

As per consideration of price this is not correct option.

Movie ticket price =18

Drink = 2.70

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

4. 9+1. 35+2(3. 50+1. 7)

This is not correct option as popcorn and veggie price is doubled.

Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

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Answer:

Step-by-step explanation:

The equivalent expression for ( 2² × 3⁴ )³ is 2⁶ × 3¹².

Hence, option A) 2⁶ × 3¹² is the correct answer.

Given the expression;

( 2² × 3⁴ )³

First we distribute the power outside the parenthesis.

( 2² × 3⁴ )³

2²ˣ³ × 3⁴ˣ³

2⁶ × 3⁴ˣ³

2⁶ × 3¹²

The equivalent expression for ( 2² × 3⁴ )³ is 2⁶ × 3¹².

Hence, option A) 2⁶ × 3¹² is the correct answer.

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Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

Answer:

1/2 chance

Step-by-step explanation:

A cube has 6 sides. 1, 2, 3, 4, 5, 6.

2, 3, and 5 are primes.

3/6=1/2.

The answer would be A

Step-by-step explanation:

i hope this helped :)
sorry if im wrong

Answer:

The answer is 15 km/in

Step-by-step explanation:

150 divided by 10 is 15.

Therefore the answer is 15 km/in.

The estimated price for a 500-page book is $5.45  which is evaluated by using 0.05 level of significance.

To check on the off chance that there's a relationship between the number of pages and the bookshelf, we are able to perform a basic straight relapse analysis. 

Using statistical software or a calculator, we can find that the regression equation is:

y = 2.35 + 0.0063x

where y is the price and x is the number of pages.

A theory test can be performed to test whether there's a critical relationship between x and y. 

Null hypothesis:

There is no significant linear relationship between page count and book price.

Alternative hypothesis:

There is a significant linear relationship between page count and book price.

You can compute the t-statistic and corresponding p-value using a significance level of 0.05. With 5 degrees of freedom, the critical t-value is ±2.571.

Computing the t statistic gives:

\(t = (r * sqrt(n - 2)) / sqrt(1 - r^2)\)

where r = correlation coefficient and n = sample size. From the data we found:

r = 0.668

n=7

Plugging in these values ​​gives:

t = (0.668 * square (7 - 2)) / square (1 - 0.668^2) = 2.56

The calculated t-value (2.56) is within the critical t-value (±2.571), so we cannot reject the null hypothesis.

This implies that there's not sufficient proof to conclude that there's a noteworthy straight relationship between book page count and price.

Be that as it may, you'll be able to utilize a relapse condition to assess the cost of a 500-page book.

 y = 2.35 + 0.0063 (500) = $5.45

therefore, the estimated price for a 500-page book is $5.45.

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Answer:

h(0)= -5

h(-2)= -7

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

x just represents a value, so simply plug 0 into the equation instead of x.

h(0)= -0 - 5

h(0) = -5

Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

Answer:

42°

Step-by-step explanation:

given OA and OC are perpendicular, the angle between the lines are 90°

this means that ∠AOB and ∠BOC add up to 90°, i.e.

(6x-6) + (5x+8) = 90

6x-6 + 5x+8 = 90

11x - 6 +8 = 90

11x + 2 = 90 (subtract 2 from both sides)

11x = 90- 2

11x = 88 (divide both sides by 11)

x = 8  

Hence, m∠BOC

= 6x - 6

= 6(8) - 6

= 48 - 6

= 42°

The given diagram, the equation "5x + 53 = 128" can be used to solve for x. This equation corresponds to the relationship between angles C, F, and (5x + 17)°, which form a Straight line with a total sum of 180°.

The equation that can be used to solve for x in the given diagram, we need to analyze the relationships between the angles.

Looking at the diagram, we can see that angles C, F, and (5x + 17)° form a straight line, which means their sum is 180°.

C + F + (5x + 17)° = 180°

Since angle C is 36°, we can substitute it into the equation:

36° + F + (5x + 17)° = 180°

Next, we can simplify the equation by combining like terms:

F + 5x + 17 + 36 = 180

Simplifying further:

F + 5x + 53 = 180

Now, we have the equation:

5x + F + 53 = 180

Comparing this equation with the given options, we find that the equation "5x + 53 = 128" matches the equation we derived from the diagram.

Therefore, the equation "5x + 53 = 128" can be used to solve for x in the given diagram.

In summary, from the given diagram, the equation "5x + 53 = 128" can be used to solve for x. This equation corresponds to the relationship between angles C, F, and (5x + 17)°, which form a straight line with a total sum of 180°.

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Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

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=============================================================

Explanation:

Ignore the rows that are labeled "stock ABC" and "stock MNO".

We only focus on the top row (gains and losses) and the "stock JKL" row.

Multiply each gain or loss with its corresponding probability in decimal form. Use negative values to represent a loss

Add up those results to get the final answer: -3.75+3.25+9 = 8.50

-----------------------

Here's another way to get the answer.

Let's say you had a 10 by 10 grid of graph paper.

This can be thought of as like a dart board. Imagine throwing 1000 darts at this grid (maybe do so blindfolded to give each square an equal chance; if you land outside the grid then re-throw the dart). Theoretically, the probability of landing in the red area is 15/100 = 0.15, so we expect about 1000*0.15 = 150 darts will land there out of the 1000 thrown total. Each of those 150 darts in the red area represents a loss of $25. So we have a loss of 150*25 = 3750 dollars. We'll write this as -3750.

We also expect 0.65*1000 = 650 darts to have a gain of $5. That means 650*5 = 3250 is earned here. Furthermore, 0.20*1000 = 200 darts land in the green squares to get us $45 per attempt. So that's another 45*200 = 9000 dollars.

Overall, we would get -3750+3250+9000 = 8500 in profit.

Divide this over the 1000 dart throws and we end up with an expected value of 8500/1000 = 8.50

Keep in mind that this dart game or thought experiment is depending on theoretical probabilities. If you actually do this game, then your empirical probabilities will likely differ slightly from the theoretical values. However, the more trials you conduct, the closer your empirical probabilities should get to the theoretical ones.

Purchasing power after turning 65 if you:

a) Hide your money under a mattress=  $240,000

b) Place in a savings account paying a real return of 1% = $386,101.86

c) Invest in a 30 -year Ireasury Bond (TIPS) offering a 2% real return= $513,349.92

d) Invest in the S\&P 500 - average nominal return of 12% = $13,753,436.16.

Given that,

  the amount of money that a person saves every month is $500 for 40 years, i.e., from age 25 to age 65.

The total savings that this person will have will be:

  $500 * 12 * 40 = $240,000

To determine the purchasing power of the individual at age 65, we need to determine the value of the savings in the four different scenarios presented in the question.

Scenario 1: If the money is hidden under the mattress.

   The real rate of return is zero (0%) as there is no interest earned. Therefore, the purchasing power will be the same as the face value of the savings account. Therefore,

purchasing power = $240,000

Scenario 2: If the money is saved in a savings account paying a real return of 1%

Nominal rate of return = Real rate of return + Inflation rate= 1% + 2% = 3%

The future value of $240,000 in 40 years at 3% per annum can be calculated using the formula:

FV = PV x (1 + r)n where,

PV = present value = $240,000

r = nominal rate of return per annum = 3%

n = number of years = 40

     Using these values, the future value (FV) can be calculated as:

   FV = $240,000 x (1 + 0.03)40= $793,186.98

The purchasing power of $793,186.98 after accounting for 2% inflation will be:

Purchasing power = 793,186.98 / (1 + 0.02)40= $386,101.86

Therefore, the purchasing power of savings kept in a savings account that pays a real return of 1% will be $386,101.86

Scenario 3: If the money is invested in a 30-year Treasury Inflation-Protected Security (TIPS) offering a 2% real return

Nominal rate of return = Real rate of return + Inflation rate= 2% + 2% = 4%

The future value of $240,000 in 40 years at 4% per annum can be calculated using the formula:

FV = PV x (1 + r) n       where,

PV = present value = $240,000

r = nominal rate of return per annum = 4%

n = number of years = 40

    Using these values, the future value (FV) can be calculated as:

FV = $240,000 x (1 + 0.04)40= $1,055,678.72

The purchasing power of $1,055,678.72 after accounting for 2% inflation will be:

Purchasing power = 1,055,678.72 / (1 + 0.02)40= $513,349.92

Therefore, the purchasing power of savings invested in a 30-year TIPS offering a 2% real return will be $513,349.92

Scenario 4: If the money is invested in the S&P 500 with an average nominal return of 12%

The nominal rate of return is 12%.

Therefore, the future value of the savings can be calculated using the formula:

FV = PV x (1 + r)n  where,

PV = present value = $240,000

r = nominal rate of return per annum = 12%

n = number of years = 40

   Using these values, the future value (FV) can be calculated as:

FV = $240,000 x (1 + 0.12)40= $28,312,123.62

The purchasing power of $28,312,123.62 after accounting for 2% inflation will be:

Purchasing power = 28,312,123.62 / (1 + 0.02)40= $13,753,436.16

Therefore, the purchasing power of savings invested in the S&P 500 with an average nominal return of 12% will be $13,753,436.16.

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Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

That's confusing

Step-by-step explanation:

Answer:

y = -5/3x - 6/5

Step-by-step explanation:

Brainliest pls

Answer:I think its A.

Step-by-step explanation:

I'm too lazy too explain you got your answer please be happy

Answer:

Irrational number

Step-by-step explanation:

  Prime factorize the number and then simplify.

\(\sf \sqrt{5}*\sqrt{5}*\sqrt{8}=\sqrt{5*5*8}\)

                     \(\sf = \sqrt{5*5*2*2*2}\\\ = 5* 2* \sqrt{2}\\\\= 10\sqrt{2}\)is an irrational number.

Step-by-step explanation:

x(c - b) = g

divide through by (c - b)

x(c - b) = g

(c - b) (c - b)

x = g/ (c - b)

The values of the positive intergers a and b is 2 and 3 respectively and the value of 2a+3b is 13.

An algebraic expression are the expression which consist the variables, coefficients of variables and constants. In the given problem, a and b are positive integers.  The given expression in the problem is: ^2b^3=108.

Let us the hit and trial method to make both the equation equal. For a=1 and b= 1 the expression will be equal to 1. For a =2 and b=3,

(2)^2(3)^3 = 108

(4)(27) = 108

108 = 108

Here, left hand side of the expression is equal to the right hand side of the expression for a =2 and b=3. Thus the value of a and b are,

a = 2

b = 3

The value of the expression we have to find is, 2a+3b. Put the values of a and b in the above expression, we get,

2a+3b = 2^(2)+3^(3)

2a+3b = 4+9

2a+3b = 13

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Mean of rt = 0.02,

Variance of rt = 0.02,

Lag-1 Autocorrelation (ρ1) = -0.01,

Lag-2 Autocorrelation (ρ2) = Unknown,

1-step ahead forecast = -0.005,

2-step ahead forecast = 0.02,

The standard deviation of forecast errors = √0.02.

We have,

To find the mean and variance of the return series, we can substitute the given model into the equation and calculate:

Mean of rt:

E(rt) = E(0.02 + 0.5rt-2 + et)

= 0.02 + 0.5E(rt-2) + E(et)

= 0.02 + 0.5 * 0 + 0

= 0.02

The variance of rt:

Var(rt) = Var(0.02 + 0.5rt-2 + et)

= Var(et) (since the term 0.5rt-2 does not contribute to the variance)

= 0.02

The mean of the return series rt is 0.02, and the variance is 0.02.

To compute the lag-1 and lag-2 autocorrelations of rt, we need to determine the correlation between rt and rt-1, and between rt and rt-2:

Lag-1 Autocorrelation:

ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))

Lag-2 Autocorrelation:

ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))

Since we are given r100 = -0.01 and r99 = 0.02, we can substitute these values into the equations:

Lag-1 Autocorrelation:

ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))

= Cov(r100, r99) / (σ(r100) * σ(r99))

= Cov(-0.01, 0.02) / (σ(r100) * σ(r99))

Lag-2 Autocorrelation:

ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))

= Cov(r100, r98) / (σ(r100) * σ(r98))

To compute the 1- and 2-step-ahead forecasts of the return series at

t = 100, we use the given model:

1-step ahead forecast:

E(rt+1 | r100, r99) = E(0.02 + 0.5rt-1 + et+1 | r100, r99)

= 0.02 + 0.5r100

2-step ahead forecast:

E(rt+2 | r100, r99) = E(0.02 + 0.5rt | r100, r99)

= 0.02 + 0.5E(rt | r100, r99)

= 0.02 + 0.5(0.02 + 0.5r100)

The associated standard deviation of the forecast errors can be calculated as the square root of the variance of the return series, which is given as 0.02.

Thus,

Mean of rt = 0.02,

Variance of rt = 0.02,

Lag-1 Autocorrelation (ρ1) = -0.01,

Lag-2 Autocorrelation (ρ2) = Unknown,

1-step ahead forecast = -0.005,

2-step ahead forecast = 0.02,

The standard deviation of forecast errors = √0.02.

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Answer: 3 km

Step-by-step explanation: (included in picture) the 0.5 represents 30 minutes because 30 minutes is 0.5 of an hour. the x represents how far Majid can walk in 30 minutes

Step 1: Subtract 5 from Both Sides

10x + 5 = 3x - 23

10x = 3x - 28

Step 2: Subtract 3x from Both Sides

10x = 3x - 28

7x = -28

Step 3: Divide Both Sides By 7

7x = -28

x = -4

Answer: x = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

Given,

10x+5=3x-23

10x-3x=(-23)-5

7x=-28

x=-28/7

x=-4