The hands are represented by a much larger area on the motor homunculus than the trunk because ______. Multiple choice question. the hands are more important than the trunk the hands are bigger than the trunk the hand muscles perform more detailed movements than the trunk

Answer:35:4

Step-by-step explanation:

We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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Answer:

Step-by-step explanation:

in the dark I see two congruent triangles, so x = 53 °

The confidence interval size shrank from 0.99 to 0.90, is the right answer. Confidence interval: 0.88

A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such as 90% or 99%, are occasionally used.

Therefore, the correct choice is option B which states that From 0.99 to 0.90 the confidence interval size became smaller

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

It can be calculated as:

df=n-1=19

t critical value 0.12 (two tail) = 1.62797

M = 51.5

sM = √(6.842 / 20) = 1.53

μ = M ± Z (sM)

μ = 51.5 ± 1.62797 * 1.53

μ = 51.5 ± 2.49

Therefore, CI { 49.01 and 53.99 }

Therefore, the confidence interval size shrank from 0.99 to 0.90, is the right answer. Confidence interval: 0.88

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Note that in this case,   the value of 4x is 12.

5ˣ⁺¹ - 5ˣ = 500

⇒  (5ˣ)5 - 5ˣ = 500

⇒ 5ˣ (5-1) = 500

⇒ 5ˣ (4) = 500

⇒ 5ˣ = 500/4

5ˣ = 125

To solve the equation 5ˣ = 125, we need to find the value of x that satisfies the equation. In this case, we can rewrite 125 as 5³, since 5 raised to the power of 3 is equal to 125. So, we have:

5ˣ = 5³

To solve for x, we can equate the exponents -

x = 3

Therefore, the solution to the equation 5ˣ = 125 is x = 3.

Thus, 4x =

4(3) = 12

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Full Question:

Although part of your question is missing, you might be referring to this full question:

If 5ˣ⁺¹ - 5ˣ = 500 then find 4x

The probability that the average weight of a bag in an order is between 9.5 and 10.5 is 0.6232. This means that there is a 62.32% chance that the average weight of a bag in an order will fall within this range.

The probability is calculated by first converting the range of average weights (9.5 to 10.5) to a standard normal variable z. This is done by subtracting the mean (10) and dividing by the standard deviation (1.25/15). The resulting z-scores are -0.8944 and 0.8735.

The probability that the average weight of a bag is between 9.5 and 10.5 is then equal to the probability that z is between -0.8944 and 0.8735. This probability can be calculated using the standard normal cumulative distribution function (CDF). The CDF for z = -0.8944 is 0.1856, and the CDF for z = 0.8735 is 0.8088. Therefore, the probability that the average weight of a bag is between 9.5 and 10.5 is 0.8088 - 0.1856 = 0.6232.

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The wheel does 1,184 revolutions in the 1700 meters.

To find the number of revolutions we need to take the quotient between the distance and the circumference of the wheel.

The circumference of a circle of diameter D is:

C = 3.14*D

So here we have:

C = 3.14*18in = 56.52 in

And we know that:

1 meter ≈ 39.3701 inches

Then the circumference in meters is:

C = 56.52/39.3701 m = 1.435m

The number of revolutions is:

1700m/1.435m = 1,184

That is the correct answer.

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Answer:

Step-by-step explanation:

First find the circumference:

π × 18 = 3.14 × 18 = 56.52"

56.52÷ 39.3701 inches in one meter = 1.4356 meters for the circumference.

Divide 1700 meters by 39.3701 = 1184.173

round to 1184 revolutions

Answer: 88

Explanation

Dow at opening:

26,428

Dow at closing:

26,340

The change in the DOW for this days is the substration of the Dow at closing from the Dow at opening:

Change in Dow = Dow at opening - Dow at closing

Change in Dow = 26,428 - 26,340

Change in Dow = 88

Answer: 88

Answer:

35 degrees.

Step-by-step explanation:

Angle DGC and AGB are vertical angles. Therefore AGB is 90 degrees.

180 - (90 + 55) = 35 degrees.

Answer:

9.9999998e+15

Step-by-step explanation:

can i have brainliest

Answer:

Step-by-step explanation:

Answer:

0; one real roots

* the answer is C

Answer:

6.75

Step-by-step explanation:

you cross multiply to get rid of the fractions

so it would be 4x = 27

divide the four on both sides

x = 27/4

x = 6.75

Answer:

a) £284

b)11

Step-by-step explanation:

To find the weekly wage you have to solve this equation where y=wage, x=number of hours overtime and z=basic pay:

y=x*£16+z

a) y=9*£16+£140 = £284

b) You need to invert the formula, letting on the left side of the equal only the x:

x=(y-z)/£16

so you have:

x=(£300-£124)/£16 = 11

Answer:

Below.

Step-by-step explanation:

This is the correct solution:

6 - 2x + 5 + 4x

= -2x + 4x + 6 + 5

= 2x + 11.

It looks like they added  unlike  terms together (4x + 5) to give 9x (incorrect)  then added the 4x to give 13x.

Answer:

5

Step-by-step explanation:

21 - 6 = 3x

15 = 3x

divide both sides by 3

15/3 = 3x/3

5 = x

The sum of the reciprocals of all the positive factors of the perfect number 28 is 2.

A factor is a number that divides another number by itself and leaves no residue. In other words, if multiplying two whole numbers yields a product, the numbers being multiplied are factors of the result since the product is divisible by them. Factors may be found using two methods: multiplication and division. Factors are numbers that may be multiplied together to get another number.

Here,

The sum of the reciprocals of all the perfect number 28's positive elements is 2.

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Answer:

60%

Step-by-step explanation:

16 loaves of white bread and 24 loaves of wheat bread. = 40 loaves of bread

P( wheat) = number of wheat/ total

                 = 24/40

                 =.6

                  =60%

Answer:

Step-by-step explanation:

To find the equation of the line, we must find its slope first.

Hence, the slope is 1/2.

The y-intercept means the y-axis intersection. The line is intersecting at 2 on the y-axis. Hence, the y-intercept is 2.

The equation of the line is y = x/2 + 2(Option C)

The correct interpretation of the findings is Individuals with the highest quartile of dietary iron intake had 51% lower risk of AIDS-related death compared to those in the lowest quartile. The correct answer is option 2.

In epidemiological studies, Hazard ratios (HR) are calculated in cohort studies, which estimate the risk of the event occurrence, i.e., the proportion of people exposed to the factor under study who will get the outcome compared with those who are not exposed. Dietary iron intake is the exposure in this study and AIDS-related death is the outcome. The hazard ratio of 0.49 shows that people in the highest quartile of dietary iron intake had a lower risk of AIDS-related death compared to those in the lowest quartile.

In other words, it means that the risk of death in people with a high intake of dietary iron is almost half the risk of those with low dietary iron intake. The confidence interval of 0.30-0.90 suggests that the findings of the study are statistically significant.

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Step-by-step explanation:

x = number hours dog walking

y = number hours tutoring

x + y <= 11

6x + 10y >= 80

the solution is the common area below the first line and above the second line.

the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.

for the crossing point we use the regular equations :

from the first we get

x = 11 - y

using this in the second

6×(11 - y) + 10y = 80

66 - 6y + 10y = 80

4y = 14

y = 14/4 = 7/2 = 3.5

x = 11 - y = 11 - 3.5 = 7.5

so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.

Answer:

I believe the answer is x-intercept

Step-by-step explanation:

The number of simulation trials that would be likely to produce results that are  closest to the actual probability is 25. The correct option is C).

The following steps can be used  in order to determine the number of simulations:

Step 1 - Remember the maximum number of trials gives the maximum chance to produce results that are  closest to the actual probability.

Step 2 - Now, check all the options given in the question and choose the largest one.

From the above steps, it can be concluded that the correct option is C) 25.

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Full question :

Which number of simulation trials would be likely to produce results that are closest to those predicted by probability theory?.

A. 10

B. 15

C. 25

D. 20

The dimensions of the garden that minimize the cost is 3.83 and 5.74.

Lets assume the garden has length L and width W and one Length has the brick wall.

L*W = 22 (area constraint)

C = 40 * L + 20 * L + 20 * W + 20 * W

= 60 * L + 40 * W

We need the equation in terms of just one variable, lets use L. We can use the area constraint to do this

W = 22/L (plug this into the C equation)

C(L) = 60*L + 40*(22/L)

= 60*L + 880/L

C(L) = 60*L + 880/L

now take the derivative and get

C'(L) = 60 - 880/L^2

now set that derivative = 0 to find the key L value where the min/max occurs (min in this case)

0 = 60 - 880/L^2

Solve for L,

L = ± (2 sqrt(11/3))

We only need the positive answer as negative length makes no sense here,

L = 3.83 (approximate)

We can now solve for W as well

W = 22/3.83 = 5.74

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The probability that a randomly selected point within the circle falls in the red-shaded square is: 0.50

The formula for the area of a circle is:

A = πr²

where:

A is area

r is radius

Thus:

A = π * 4²

A = 50.265 unit²

Area of square = side * side

Area = 5 * 5

Area = 25 unit²

Thus:

P(selected area falls in the read square) = 25/50.265

P(selected area falls in the read square) = 0.497 ≈ 0.50

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Answer:

55

Step-by-step explanation:

11 x 5 = total combinations

11 x 5 = 55

To find the margin of error for the poll at the 95% confidence level, we can use the formula:

Margin of Error = z * sqrt(p * (1 - p) / n)

Given that the sample size is 280 and the proportion of people who liked dogs is 48% (0.48), we need to determine the appropriate value of z for a 95% confidence interval. The value of z for a 95% confidence interval is 2.

Substituting the values into the formula, we have:

Margin of Error = 2 * sqrt(0.48 * (1 - 0.48) / 280)

Calculating this expression, we find:

Margin of Error ≈ 2 * sqrt(0.48 * 0.52 / 280) ≈ 2 * sqrt(0.2496 / 280) ≈ 2 * sqrt(0.000892)

Simplifying further, we get:

Margin of Error ≈ 2 * 0.0299 ≈ 0.0598

Therefore, the margin of error for this poll, at the 95% confidence level, is approximately 0.0598 or 5.98%.

The margin of error represents the maximum expected difference between the estimated proportion in the poll and the true proportion in the entire population. It indicates the level of uncertainty associated with the poll's results and helps determine the range within which the true proportion is likely to fall. In this case, at a 95% confidence level, we can expect the actual proportion of people who like dogs to be within 5.98% of the estimated proportion obtained from the poll.

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Answer:

(2/5) * (3/4) = 3/10 = 0.3