Work out the value of
10000^-1/2

Answer:

Step-by-step explanation:

The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:

\(2x(x^2-100)\)

BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to

(x - 10)(x + 10). So the complete factorization is

2x(x - 10)(x + 10)

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

5 ✓ 3

Step-by-step explanation:

using Pythagoras Theory

(5 ✓ 6 )2 =, 2 x square side

square leg length= 150/ 2=, 75

length =5 ✓ 3

Answer:

Yes

Step-by-step explanation:

x+1 is a factor of f(x) because \(f(x)=(x+1)(2x^2-5x+12)\), which can be easily found via polynomial division or some other strategy. Because \(f(x)=(x+1)(p(x))\), where p(x) is a polynomial without remainder, x+1 is a factor of f(x).

Answer:

the full circle one

Step-by-step explanation:

use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function

Answer:

letter D a(-3,3) to a'(-3,-3)

i hope it can help

Answer:

A

Step-by-step explanation:

it is because of the inverse is across y-axis.

but I feel that should be the answer.

Answer:

150cm

Step-by-step explanation:

Multiply all sides together.

5 x 5 x 6 = 150

150cm is the volume of the rectangular prism.

Answer:

pretty sure it’s 35.6

Step-by-step explanation:

When Stefan has $112,000 in total assets and $81,000 in total liabilities, the net worth is $31000.

An asset is any resource that a business or other economic entity owns or manages. Anything that has the capacity to produce economic value is eligible. The ownership value that can be sold for money is represented by assets.

Assets include tangible items like machinery, real estate, raw materials, and inventory as well as intangible items like intellectual property rights, royalties, and other patents.

Liability typically denotes being accountable for something, but it can also imply owing someone money or services. A homeowner's tax obligation, for instance, may be the amount of property taxes due to the city or the amount of income taxes due to the federal government.

Since Stefan has $112,000 in total assets and $81,000 in total liabilities. Stefan's net worth will be:

= Asset - Liability

= $112000 - $81000

= $31000

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Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Round to the nearest hundredth will be approximately 6.42 mg of the therapeutic drug left.

To find the half-life of the therapeutic drug, we can use the decay formula:

Amount = Initial Amount * (1 - Decay Rate) ^ Time

1. First, let's find the time when the drug's amount reduces to half of the initial amount (175 mg).

(175/2) = 175 * (1 - 0.30) ^ Time

2. Divide both sides by 175:

(1/2) = (1 - 0.30) ^ Time

3. Simplify the equation:

0.5 = 0.7 ^ Time

4. Now, to find the time (half-life), we'll use logarithms:

log(0.5) = log(0.7 ^ Time)

5. Use the logarithmic identity:

log(0.5) = Time * log(0.7)

6. Solve for Time:

Time = log(0.5) / log(0.7)

7. Calculate the value and round to the nearest hundredth:

Time ≈ 2.41 hours

The half-life of the drug is approximately 2.41 hours.

Next, we'll find the amount of therapeutic drug left after 10 hours:

8. Use the decay formula:

Amount = Initial Amount * (1 - Decay Rate) ^ Time

9. Plug in the values:

Amount = 175 * (1 - 0.30) ^ 10

10. Calculate the amount and round to the nearest hundredth:

Amount ≈ 6.42 mg

After 10 hours, there will be approximately 6.42 mg of the therapeutic drug left.

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Answer:

when the copper is gold and triangle is isocesles triangles what is your number?

Step-by-step explanation:

the answer is i leb ye

Answer:

a.

Step-by-step explanation:

4x+y=20 multiplied by (-4) gives you -16x-4y=-80

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

\(4x - 5 + x+ 7 \\ 6y - 8 + y + 7 = 0 \\ 7y = 1 \\ y = \frac{1}{7} \\ 5x = - 2 \\ x = \frac{ - 2}{5} \)

The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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hahaha yeah I know you me doing and that you have

Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.

Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.

Let’s look at the example to answer the question.

Example of an unbounded sequence that has a convergent subsequence:

Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).

However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.

And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

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A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:step 3

Step-by-step explanation:

Answer:

Step 3.

Step-by-step explanation:

She subtracted the 5 from 10.2b even though 5 did not have the variable b.

Answer:

38°

just subtract 52 from 90

Answer:38

Step-by-step explanation add  the two together and then subtract from 180°

Answer:

C Hope this helps This may be wrong though

Step-by-step explanation:

The normal sampling distribution cannot be used, according to the given sample statistics and claim about the population proportion. The correct answer is option A, "No, because np is less than 5."

To determine whether the normal sampling distribution can be used to test the given claim about the population proportion, we need to check whether the conditions for a normal approximation are met. There are three conditions that need to be satisfied:

The sample size should be large enough (n ≥ 30). However, in this case, the sample size is only 25, which is not large enough.

The expected number of successes (np) and the expected number of failures (nq) should both be greater than or equal to 5. In this case, np = (25)(0.11) = 2.75 and nq = (25)(0.89) = 22.25, so np is less than 5.

The sample is independent and random. There is no information given in the question to suggest that this condition is not met.

Therefore, the correct answer is option A, "No, because np is less than 5." Since np is less than 5, we cannot use the normal sampling distribution to test the claim about the population proportion p at the given level of significance α = 0.05 using the given sample statistics p = 0.08 and n = 25. Instead, we would need to use the binomial distribution to calculate the probability of obtaining a sample proportion of 0.08 or less assuming the null hypothesis is true.

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