4. Write any number to make the statement is
true?

After considering the orientation of the element we can say that if ε1 and ε2 have the same sign, the strain component εx' will dominate and deform the element in the x' direction.

To determine which strain component deforms the element in the x' direction, we need to consider the orientation of the element and the strain components in the coordinate system aligned with the element.

Let's assume we have two strain components: εx' and εy', representing the strains in the x' and y' directions, respectively.

Given that the orientation of the element is θp = -15.2°, we can relate the strain components εx' and εy' to the principal strains ε1 and ε2 using the following equations:

εx' = ε1 * cos^2(θp) + ε2 * sin^2(θp)

εy' = ε1 * sin^2(θp) + ε2 * cos^2(θp)

To determine which strain component deforms the element in the x' direction, we need to compare the magnitudes of εx' and εy'. Since the element is deforming in the x' direction, we are interested in the strain component that contributes more to the deformation.

Comparing the coefficients in the equations above, we can see that the terms involving cos^2(θp) contribute to εx', while the terms involving sin^2(θp) contribute to εy'.

Given θp = -15.2°, cos^2(θp) is greater than sin^2(θp). Therefore, εx' will be larger than εy' if ε1 and ε2 have the same sign.

In summary, if ε1 and ε2 have the same sign, the strain component εx' will dominate and deform the element in the x' direction.

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Answer:

27

Step-by-step explanation:

Evaluate from the inside out, that is

Evaluate h(2) , then use the value obtained to evaluate g(x) and the value obtained here to evaluate f(x) , that is

h(2) = 2² = 4 , then

g(4) = 3(4) + 2 = 12 + 2 = 14, then

f(14) = 2(14) - 1 = 28 - 1 = 27

Answer:

U should start cooking at 11:39

Step-by-step explanation:

It would take 5 hours and 6 minutes to cook all of the ham

From the given statements, g(-13) = 20, that is option B, is true for g.

Here we are given that a function g has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.

Further, g(0) = -2 and g(-9) = 6

Let us evaluate each option one by one-

A. g(7) = -1

As we can see x can take values only from -20 to 5. And 7 is greater than 5. This means that the function us not defined at g(7) and hence, option A is not the correct option.

B. g(-13) = 20

Here, x=-13 is in our domain and y = 20 also lies within our range. Hence, this is the correct option.

C. g(0) = 2

We are already given that g(0) = -2. y can take only one unique value for every value of x and hence, g(0) cannot be equal to 2.

D. g(-4) = -11

As we can see y can take values only from -5 to 45. And -11 is smaller than 5. This means that the function us not defined at g(-4) and hence, option D is not the correct option.

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Your question was incomplete. Check for the full content below-

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

g(0) = 2

g(7) = -1

g(-4) = -11

g(-13) = 20

The information for a 95% confidence interval for the mean cholesterol are:Sample mean = x = 161.5 Standard Deviation = σ = 19.5 Sample size = n = 169 Z or t = Z Standard Error (Rounded to nearest tenth)= 1.5 Margin of Error (Rounded to nearest tenth) = 2.83 Lower limit (Rounded to nearest tenth) = 158.67 Upper limit (Rounded to nearest tenth) = 164.33

Given that the sample size, n = 169, sample mean, x = 161.5, and population standard deviation, σ = 19.5 are to be used to compute the confidence interval for the mean cholesterol. We are to find the following information for a 95% confidence interval for the mean cholesterol.

We know that if the population standard deviation is known and the sample size is greater than 30, then we use the z-value instead of the t-value. Since the sample size is n = 169, we can use the z-value. Z or t = Z For a 95% confidence level, α = 0.05/2 = 0.025 Zα/2 = Z 0.025 (from the standard normal distribution table)Z 0.025 = 1.96 The formula to calculate the standard error of the mean cholesterol is:Standard error = σ/√n=19.5/√169= 1.5

The margin of error is given by Margin of error = Zα/2 × (σ/√n)Margin of error = 1.96 × (19.5/√169)= 2.83 (rounded to the nearest tenth)The lower limit and upper limit of the confidence interval are given by the formulas:Lower limit = x - Margin of error Upper limit = x + Margin of error Lower limit = 161.5 - 2.83 = 158.67 (rounded to the nearest tenth)Upper limit = 161.5 + 2.83 = 164.33 (rounded to the nearest tenth)

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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

Answer: i believe is c or d i not 100% sure

No, because it is plausible that she would make 3 or fewer shots by chance alone.

What is convincing evidence?

The proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent.

if our test statistic is: positive and greater than the critical value, then we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis. positive and lower than or equal to the critical value, we must accept the null hypothesis.

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Answer:

220 [mm²].

Step-by-step explanation:

all the details are in the attachment, the answer is marked with pink colour.

Question:

Solution:

Data of the problem:

- The pharmacy has in stock 3 L of the drug solution.

- The veterinarian is needing 2 quarts.

Notice that 1 quart is equivalent to 0,946353 L, then 2 quarts is 1.89271L

thus, the Liters remaining are:

3L - 1.89271L = 1.11L

then, using the appropriate conversion factor, we have that the quarts remaining are:

then, the solution is:

On solving the provided question we can say that - the given equation, y = -2x+2 is neither a relation nor a function.

A rule that links every element of the domain to every other element in the domain is known as a function. The domain and range are both set here. Because each input x results in an output y, for instance, y = x+2 and y = 2x - 1 are functions. An equation depicts the connection between the input and output. A relation called a function, on the other hand, produces an OUTPUT for any INPUT. All relations are functions, but not all functions are relations.

Here,

the given equation

=> y = -2x + 2 ,

obviously we can say that it is neither a relation nor a function

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Answer:

Step-by-step explanation:

=63

The measure of arc ADC in circle B with the measure of minor arc AC= 126° is 234°.

Given that the measure of minor arc AC = 126°, we can find the measure of arc ADC using the following formula:

m/ADC = 360° - m/AC

Plugging in the values, we get:

m/ADC = 360° - 126° = 234°

Therefore, the measure of arc ADC is 234°.

Here is the explanation:

A minor arc is an arc that is less than 180°.

The measure of a minor arc is equal to the measure of the central angle that intersects it.

The measure of a whole circle is 360°.

Therefore, the measure of arc ADC is equal to the difference between the measure of the whole circle and the measure of minor arc AC. This difference is 360° - 126° = 234°.

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Answer:

30 Mins

Step-by-step explanation:

9 mins for 3 waffles is 3 mins per waffle. 9÷3=3

3 mins for each of 10 waffles is 30 mins. 3×10=30.

Answer:

To arrive in Istanbul at around 3 p.m. local time, Salim needs to take the flight that arrives in Istanbul at 3 p.m. local time.

If he takes the flight that leaves Singapore at 06:30, it will take 11 hours and 30 minutes to reach Istanbul. Therefore, the arrival time in Istanbul will be 18:00 (Singapore time) + 11 hours and 30 minutes = 05:30 (Istanbul time). This is earlier than the desired arrival time of 3 p.m. local time in Istanbul.

If he takes the flight that leaves Singapore at 09:00, it will also take 11 hours and 30 minutes to reach Istanbul. Therefore, the arrival time in Istanbul will be 20:30 (Singapore time) + 11 hours and 30 minutes = 08:00 (Istanbul time). This is closer to the desired arrival time of 3 p.m. local time in Istanbul.

Therefore, Salim should take the flight that leaves Singapore at 09:00.

The probability that exactly one of the coins is a 10p piece is 1/2.

To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.

There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.

3. Both Erin's and Jack's coins are 10p pieces.

4. Both Erin's and Jack's coins are non-10p pieces.

Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).

Now, let's calculate the probability for each of the remaining possibilities:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:

The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:

This is the same as the previous case, so the probability is also 1/4.

3. Both Erin's and Jack's coins are non-10p pieces:

The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:

1/4 + 1/4 = 2/4 = 1/2.

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Answer:

90 54

Step-by-step explanation:

Answer:

120° will be found on in the second quadrant of the unit circle. Specifically, the reference angle will be 60°. This is because the angle measurement starts from the positive x axis, and rotates 120° counter-clockwise. The angle formed at this point between the line and the x-axis (negative direction) is 60°.

The special right triangle formed will have a hypotenuse of 1, and a reference angle of 60°.

We know that the adjacent line, the line opposite the 30° angle, will be 1/2 the hypotenuse, or -1/2. Negative because it goes in the negative x direction.

The opposite end, or vertical side, will be √3/2.

sin(120) = opposite/hypotenuse = √3/2 ÷ 1 = √3/2

cos (120) = adjacent/hypotenuse = (-1/2) / 1 = -1/2

tan (120) = opposite / adjacent = (√3/2) / (-1/2) = -√3

Step-by-step explanation:

Hope this helps...

Answer:

C or x+16= 31

Step-by-step explanation:

Answer:

so you will put the point above the zero across from 6

the slope is rise/run

Step-by-step explanation:

The average rate of change per minute in the amount downloaded is 11.5 megabytes per minute

File size: 1400 megabytes

Start time of download: 7:00 pm

File size remaining to be downloaded: 825 megabytes

Time after one has done homework: 7:50 pm

Time elapsed: 50 minutes

File size downloaded: Total file size - File size remaining to be downloaded

= 1400 - 825 = 575 megabytes

Average rate of change per minute = File size downloaded/Time elapsed in minutes

= 575/50

= 11.5 megabytes per minute

So, the average rate of change per minute in the amount of download is 11.5 megabytes per minute

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Answer:

238,858 is the answer to your question

Answer:

23858

Step-by-step explanation:

92589230-92350372=23858

Answer:

4 gigabytes

Step-by-step explanation:

$55-$35 =$20

Under $55 = less than (<) $55

According to given question we have,

$35 + $5 × g < 55

35 + 5g < 55

compare like terms and simplify we get,

5g < 55 - 35

5g < 20

g < 20/5

g < 4 gigabytes

Inequality: 5x + 35 <50

Answer: x < 3

The correct answer is (E) The possible p-values are 0.22 and 0.88.

If the experimenter conducted a one-tailed hypothesis test on the same set of data, the possible p-value(s) that they could have obtained would depend on the direction of the test.

In a one-tailed test, the hypothesis is directional and the experimenter is only interested in one side of the distribution (either the upper or lower tail). Therefore, the p-value would only be calculated for that one side.

If the original two-tailed test had a p-value of 0.44, it means that the null hypothesis was not rejected at the significance level of 0.05 (assuming a common level of significance).

If the experimenter conducted a one-tailed test with a directional hypothesis that was consistent with the direction of the higher tail of the original two-tailed test, then the possible p-value would be 0.22 (half of the original p-value). If the directional hypothesis was consistent with the lower tail of the original two-tailed test, then the possible p-value would be 0.88 (one minus half of the original p-value).

Therefore, the correct answer is (E) The possible p-values are 0.22 and 0.88.

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To find the integer value of n that results in exactly 560 lattice points strictly in the interior of the triangle, use the equation: n = (560 + 2)/8.

This equation is derived by counting the lattice points on each side of the triangle, starting with the side between points (1,1) and (9,1). This side has a length of 8, so it contains 8 lattice points, including the two endpoints. The remaining sides have lengths of 8 + n and 8 + n, which combined have 8 + 2n lattice points. The total number of lattice points in the triangle is then 8 + 8 + 2n = 16 + 2n.  

Solving for n when the total number of lattice points is 560 gives us n = (560 + 2)/8. Therefore, the integer value of n is 70.

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Answer: 3•10 ^-7

Step-by-step explanation:

I just put the answer in my graphic calculator lol

Answer:

4

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2

10 ÷ 2 = 5

Please give me brainliest!

Answer:

B

Step-by-step explanation:

On solving the complex equation sin(z)= cos (z) we get the value of z as

z = π/4 + kπ

We know sin(z) =( \(e^{iz}-e^{-iz}\))/2i. We also know that cos(z)=(\(e^{iz}+e^{-iz}\))/2

Given sin(z) = cos (z)

⇒ (\(e^{iz}-e^{-iz}\) )/2i = (\(e^{iz}+e^{-iz}\))/2        (1)

Let \(e^{iz}\) = x ,therefore \(e^{-iz}\) =1/x. Using these in the given equation (1) we will get a quadratic equation.

⇒(x- (1/x)) / 2i = (x + (1/x))/2

⇒(x² - 1)/ i = (x² +1) / 1         (cancelling 2 and x from denominator and solving numerators)

⇒(x² -1)/(x² +1) = i/1

⇒(x²-1 + x² + 1)/ (x² - 1 - x² - 1) = (i+1)/ (i-1)      (apply componendo dividendo )

⇒2x²/(-2) = (i+1)/(1-1)

⇒ x² = ( 1 + i) / (1- i)

⇒ x² = i

⇒x² = \(e^{i(\pi /2 + 2k\pi) }\)

⇒x = \(e^{i(\pi /4 + k\pi) }\), \(e^{i(5\pi /4 + k\pi) }\)

Now equate x with \(e^{iz}\)

On solving this we get z = π/4 + kπ

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The problem where the professor states that the average age of students in the university is 21 years is an example of statistical inference.

Statistical inference is the process of using data from a sample to make inferences or conclusions about a population. It allows us to draw conclusions about a larger group of individuals or objects based on information from a smaller sample. It is a fundamental part of statistical analysis and is used in many fields, including research, business, and government.

Statistical inference includes two main types: estimation and hypothesis testing.

Estimation: This involves using sample data to make estimates about population parameters. For example, using the sample mean to estimate the population mean or the sample proportion to estimate the population proportion.

Hypothesis testing: This involves using sample data to test a claim or hypothesis about a population parameter. For example, testing the claim that a coin is fair, based on the proportion of heads in a sample of coin flips.

The goal of statistical inference is to use the information from a sample to make informed decisions or predictions about a population. It allows us to draw general conclusions from a specific set of data, and it is an essential tool for making sense of data in many fields.

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