Determine the 95% confidence interval for the difference of the sample means. Then complete the statements. The 95% confidence interval is to. The value of the sample mean difference is 1. 74, which falls the 95% confidence interval.

The largest possible value of x that satisfies the inequality is -8.9.

The problem statement involves an inequality that needs to be satisfied. The inequality is given as:

1 > 10,000 (x + 9)⁴

To find the largest possible value of x that satisfies this inequality, we need to determine how close x needs to be to -9. The absolute value of the difference between x and -9 is represented as:

|x - (-9)|

We can use this expression to determine the distance between x and -9. The inequality can be simplified by dividing both sides by 10,000:

1/10,000 > (x + 9)⁴

Taking the fourth root of both sides, we get:

(1/10,000)¹/₄ > |x + 9|

Simplifying further, we get:

0.1 > |x + 9|

Now we can use the definition of absolute value to write two separate inequalities:

x + 9 < -0.1 or x + 9 > 0.1

Solving for x in the first inequality, we get:

x < -9.1

Solving for x in the second inequality, we get:

x > -8.9

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Answer:

16

Step-by-step explanation:

divide 6 by 3/8 by multiplying 6/1 by 8/3

16 / x = -8

First, let's divide both sides by x.

16 = -8x

Divide both sides by -8

-2 = x

16 / -2 = -8

Answer:

m = -2

Step-by-step explanation:

16 / m = -8

→ 16 = -8m

→ m = 16/-8

→ m = -2

The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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The within sum of squares, which both represent the variability within subjects that cannot be explained by the treatment effect.

In a 1-factor repeated-measures ANOVA, the error sum of squares represents the variability in the data that cannot be explained by the treatment effect, i.e., the variability within subjects. The within sum of squares also reflects this variability within subjects, as it is calculated by summing the squared deviations of each individual score from their respective group means.

Therefore, the correct answer is A: the error sum of squares equals the within sum of squares.

Option B (the subject sums of squares) and Option C (minus the subject sum of squares) are not correct because the subject sums of squares represent the variability between subjects, which is not included in the error sum of squares or the within sum of squares.

Option D (minus the between group sum of squares) is also not correct because the between group sum of squares represents the variability between groups (i.e., the treatment effect) and is not included in the error sum of squares or the within sum of squares.

In summary, the error sum of squares in a 1-factor repeated-measures ANOVA equals the within sum of squares, which both represent the variability within subjects that cannot be explained by the treatment effect.

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The required expression is v(t) = 80,000 - $6000t

Cost of the truck =  $80,000

Depreciation rate = $6000/year

Cost price is that price for buyer which he pays to seller for an object or product.

Required expression-

m = $6000
t = time in years
b = original price
v(t) = mt + b
v(t) = -$6000t + $80000

negative sign for depreciation

Thus, the required expression is v(t) = 80,000 - $6000t

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The arc length of the polar curve r = e^4θ where 0 ≤ θ ≤ 2π is approximately 32.59 units.

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √[r² + (dr/dθ)²] dθ

In this case, we have:

r = e^4θ

dr/dθ = 4e^4θ

0 ≤ θ ≤ 2π

So, the arc length is:

L = ∫[0,2π] √[e^8θ + 16e^8θ] dθ

L = ∫[0,2π] e^4θ √(17) dθ

Using integration by substitution with u = e^4θ, we get:

L = (1/4√(17)) [u√(u² + 1)]|[u=e^4θ]^[u=1]

L = (1/4√(17)) [(e^4θ)√(e^8θ + 1) - √2]

L = (1/4√(17)) [(e^(4π)√(e^(8π) + 1) - √2) - (√(e^8 + 1) - √2)]

L ≈ 32.59

So the arc length of the polar curve r = e^4θ where 0 ≤ θ ≤ 2π is approximately 32.59 units.

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Answer:

45 min

Step-by-step explanation:

look on z-score table for the value .900

closest on my table is z-score + 1.28

   this is 1.28 S.D. above the mean

          36 + 1.28 * 7 = ~ 45 min

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

CosC = \(\frac{\text{DC}}{\text{BC}}\)

CosC = \(\frac{7}{8}\)

\(C=\text{Cos}^{-1}(\frac{7}{8})\)

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.

Answer:

Step measure of 1

st

Boy=63cm

Step measure of 2

nd

Boy=70cm

Step measure of 3

rd

Boy=77cm

LCM of 63,70,77

LCM=2×3×3×5×7×11=6930

Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.

2 ∣

63,70,77

3 ∣

63,35,77

3 ∣

21,35,77

5 ∣

7,35,77

7 ∣

7,7,77

11 ∣

1,1,11

1,1,1

Step-by-step explanation:

P.S- like my comment and more thanks

Answer:

6930 cm

Step-by-step explanation:

To find the minimum distance that all three boys can cover in complete steps, we need to find the least common multiple (LCM) of their step lengths.

The least common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the given numbers without leaving a remainder.

The step lengths of the three boys are 63 cm, 70 cm, and 77 cm.

To find the LCM of 63, 70 and 77, first find the prime factorization of each number.

Prime factorization is the process of expressing a positive integer as a product of its prime factors.

Prime factorization of 63:  3 × 3 × 7 = 3² × 7

Prime factorization of 70:  2 × 5 × 7

Prime factorization of 77:  7 × 11

To find the LCM, take the highest power of each prime factor that appears in any of the numbers and multiply them together:

\(\begin{aligned} \implies \sf LCM &= 2 \times 3^2 \times 5 \times7 \times11 \\&= 2 \times 9 \times 5 \times 7 \times11 \\&= 18 \times 5 \times 7 \times11 \\&= 90 \times 7 \times11 \\&= 630 \times11 \\&=6930\end{aligned}\)

Therefore, the minimum distance each boy should cover so that all can cover the distance in complete steps is 6930 cm.

Answer:

8a+2

Step-by-step explanation:

add up all the A's then add up the numbers

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

64.8 x t = m

Step-by-step explanation:

324 / 5 = 64.8       :64.8 megabytes are produced every 1 minute

64.8 x t = m  

Answer:

-12x + 2

Step-by-step explanation:

(-6) + 8 - 3x -9x

Add like terms

(-6) + 8 = 2

(-3x) + (-9x) = -12x

Put the term with the variable in front

Answer:

3 r 2 +9 r − 120

Step-by-step explanation:

Write the problem as a mathematical expression.

3 r ^2 + 9 r− 120

Factor  3  out of  3 r ^2 + 9 r − 120 .

Factor  3 out of  3 r ^2 .

3 ( r ^2 ) + 9 r − 120

Factor  3  out of  9 r .

3 ( r^ 2 ) + 3( 3 r ) − 120

Factor  3  out of  − 120 .

3 r ^2 + 3( 3 r ) + 3 ⋅ − 40

Factor  3 out of  3 r 2 + 3 ( 3 r ) .

3 ( r^2 + 3 r )+ 3 ⋅ − 40

Factor  3 out of  3 ( r 2 + 3 r ) + 3 ⋅ − 40 .

3 ( r^ 2 + 3 r − 40 )

Factor.

Factor  r^ 2 + 3 r − 40 using the AC method.

3 ( ( r − 5 ) ( r + 8 ) )

Remove unnecessary parentheses.

3 ( r − 5 ) ( r + 8 )

Hope this helps! :)

how do i answer that I don't even know that sorry

Answer:

I would say triangle VQB is congruent to triangle TJE. Not entirely sure about the transformation, try reflecting it over y=x or y = -x,, translate it, and rotate it

(Can't look at it right now fully cause i have my own math hw to do lol)

For 8, FAKE is congruent to CMDI, (Transformations from FAKE to CMDI) then its a reflection over the y axis, and reflect over the x axis.

Step-by-step explanation:

:)

#teamtrees #WAP (Water and Plant)

The symbol for proportionality is "∝". It is read as "is proportional to" or "varies in proportion to".

Proportionality is a mathematical concept that describes the relationship between two quantities. When two quantities are proportional, it means that they have a constant ratio. For example, the distance traveled by a car is proportional to the time it takes to travel that distance. This means that if the time taken to travel doubles, then the distance traveled also doubles.

In mathematics, we use the symbol "∝" to represent proportionality. This symbol is read as "is proportional to" or "varies in proportion to". So, if we say that A ∝ B, it means that A is proportional to B. This implies that if B increases or decreases, then A also increases or decreases, but the ratio of A to B remains constant.

The concept of proportionality is used in various mathematical fields, such as algebra, geometry, and physics. It is a powerful tool for solving problems that involve relationships between quantities, and it is widely used in real-world applications, such as in engineering, economics, and statistics.

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Answer:

1.6

i think

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

1.6

1.625

2 is closer to 0 than 10

Answer:

Part A: 100%
Part B: 50%

Step-by-step explanation:

The difference between 10 and 5 is 5

5 is 100% of 5, so 10 is 100% greater than 5 (part A)

5 is 50% of 10, so 5 is 50% less than 10 (part B)

Part A is 100%, and Part B is 50%

-Chetan K

Answer:

10 is 100% greater than 5

5 is 50% less than 10

Step-by-step explanation:

big brain

Answer: 2

Step-by-step explanation:

Because if u divide 12÷6=2 2×6=12

Answer: \(x=6\sqrt{3}\)

Step-by-step explanation:

\(x=\sqrt{12^{2}-6^{2} } =\sqrt{144-36} =\sqrt{108} =6\sqrt{3}\)

Answer:

593.76

Step-by-step explanation:

Round, 1 is smaller that 5, stays the same.

Answer:

600

Step-by-step explanation:

5 is the digit in the hundred place

Look at the number on the right. Since 9 is bigger than 5, you are going to round up. So you have 600

Answer:

Step-by-step explanation:

If X is 3 then it is

3 times 3 times 3 times 3 times 3

I don't know what is x or black sorry (-.-)

Answer:

12

Step-by-step explanation:

I think it is 12 because when you divide 54 / 4.5 you end up getting 12. I dont know if its correct. If it is, than your welcome. LOL

Answer:

B: -1/4

Step-by-step explanation:

Answer:

5x-9x+8-2

-4x+8-2

-4x+6

Answer:

\( = 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\ = 226 .19 {cm}^{2} \)

Can I have the brainliest please?

Answer:

9 X 4 = 36

Step-by-step explanation:

not really the answer sorry pls dont be mad

Answer: $150

Step-by-step explanation:

Hi, the question says:

Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.

To answer this question we have to apply the simple interest formula:  

I = p x r x t  

Where:  

I = interest  

P = Principal Amount  

r = Interest Rate (decimal form)  

t = years  

Since 1 year = 12 months;  

For 8 months:

8/12 = 2/3 years  

Replacing with the values given  

I = 4500 x (5/100) x 2/3

I = $150

Feel free to ask for more if needed or if you did not understand something.  

Answer:

20,000

Step-by-step explanation: