A sample of 3600 cases is drawn at random from an infinitely large population. The standard deviation of the population is 10. The standard error of the mean is a 2/15 b 1/6 c 4/5 d 10 e None of the above

a. The coordinates after the rotation are: D(-5, 4) → D' (5, -4), E(3, 6) → E'(3, -6), and F(4, 2) → F'(4, -2) b. The general rule below that describes the rotation are: (x, y) → (x, -y).

According to the definition of a transformation in mathematics, a transformation is a geometric shape or formula that has been altered, mapping the shape or formula from its preimage, or initial position, to its image, or after-transformation position. Because transforming a function to a different space offers a fresh viewpoint on the issue, scientists and mathematicians employ transformations to simplify a problem. Scientists frequently shift a function, manipulate it, and then transform it back to its original place because this fresh perspective can make computations easier in the new space than in the old one.

a. The coordinates after the rotation are:

D(-5, 4) → D' (5, -4)

E(3, 6) → E'(3, -6)

F(4, 2) → F'(4, -2)

b. The general rule below that describes the rotation are:

(x, y) → (x, -y)

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Answer:

-21

Step-by-step explanation:

3x-5=2

4x 2=2

2x-3=2

add them together you will get -21

Answer:

1.  You can prove that a line parallel to one side of a triangle divides the other 2 sides proportionally by using the Triangle Proportionality Theorem.  

2. You prove the base angles are congruent by constructing the angle bisector through the vertex angle of an isosceles triangle. By constructing the angle bisector, we designed two congruent triangles and then used CPCTC to show that the base angles are congruent.

Step-by-step explanation:

MY GUESS: =====C: 4 inch

Step-by-step explanation:

12^2 + B^2 = 20^2

144+B^2 =400

200-144 = 56 = B^2

B^2 = 7.48331477355

7.48331477355 - 3 = 4ish inches

Answer:

\(i \: think \: 4 \: inches\)

I hope it helps

have a nice day

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Answer:

C. Last week it rained every day in San Antonio, Texas

Step-by-step explanation:

Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.

Answer:

False

Step-by-step explanation

First you do 12 x 5 =60 and 12 x 24= 288 then add 60 and 288 which give you 348. Now youre left with 348=44-(5-94)  

Do 5 - 94= -89  then 44-(-89) gave you 133

lastly, you're left with 348=133 which means it's false, the equation does not each!

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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To find the density of the metal, we need to calculate the mass of the metal and the volume of the metal.

Step 1: Calculate the mass of the metal:

Mass of metal = Mass of cylinder with all its contents - Mass of empty graduated cylinder

Mass of metal = 390.98 g - 45.7 g

Mass of metal = 345.28 g

Step 2: Calculate the volume of the metal:

Volume of metal = Final volume of water + metal - Initial volume of water

Volume of metal = 70.7 mL - 42.0 mL

Volume of metal = 28.7 mL

Step 3: Calculate the density of the metal:

Density = Mass of metal / Volume of metal

Density = 345.28 g / 28.7 mL

Density ≈ 12.01 g/mL

Therefore, the density of the metal is approximately 12.01 g/mL.

To determine the density of the metal, we use the principles of water displacement. The student first measures the mass of the empty graduated cylinder and records it as 45.7 g. Then, 42.0 mL of water is added to the cylinder, which has a known density of 1.00 g/mL. After placing the metal into the cylinder, the student measures the final volume of water and metal as 70.7 mL.

To calculate the mass of the metal, we subtract the mass of the empty cylinder from the mass of the cylinder with its contents. This gives us a mass of 345.28 g. To calculate the volume of the metal, we subtract the initial volume of water (42.0 mL) from the final volume of water and metal (70.7 mL), resulting in a volume of 28.7 mL.

Finally, we can calculate the density by dividing the mass of the metal (345.28 g) by the volume of the metal (28.7 mL). The density of the metal is approximately 12.01 g/mL.

Using the water displacement method, the student successfully determined the density of the unknown piece of metal.

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The value for x in the given equation x = (1.38-1.21)/1.23 is 0.1382.

The density of the metal is 10.56 .

To solve for x in the given equation x = (1.38-1.21)/1.23 ,follow the steps below:

Subtract the values in the parenthesis: 1.38-1.21=0.172.

Divide the result from step 1 by the divisor: 0.17/1.23=0.138(rounded off to 3 decimal places).

Therefore, the solution for x in the given equation x = (1.38-1.21)/1.23 is 0.1382.

Now to find the density of the metal, the volume of the metal must be found by subtracting the volume of the water from the final volume of water and metal (which gives the volume of the metal). Also, the mass of the metal must be found by subtracting the mass of the cylinder and water from the mass of the cylinder, water, and metal.

With these values the density can be found by dividing the mass by the volume of the metal.To find the volume of the metal, subtract the volume of the water from the final volume of water and metal:

70.7 mL - 42.0 mL = 28.7

Therefore, the volume of the metal is 28.7 .

To find the mass of the metal, subtract the mass of the cylinder and water from the mass of the cylinder, water, and metal:

390.98 g - 45.7 g - 42.0 g = 303.28

Therefore, the mass of the metal is 303.28 .

Now that the volume and mass of the metal have been found, the density can be calculated by dividing the mass by the volume:

density = mass/volume= 303.28 g/28.7 mL= 10.56

Therefore,  the density of the metal is 10.56 .

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Answer:

She would make $646.00

Choose SSS, SAS, or AA to prove the triangles are similar.

A. SSS

B. SAS

C. AA

As, all sides are given so we can use SSS to prove the triangles are similar.

So, correct option is A.

As, all three sides are given so let's check ratio of all three sides.

1. \( \tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}\)

2. \( \tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}\)

3. \( \tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}\)

As, all sides are in equal ratio.

So, by SSS

∆1 ~ ∆2

The simple random sample provided a sample mean of X and a sample standard deviation of Y.

A simple random sample is a subset of individuals selected randomly from a larger population. The sample mean (X) represents the average value of the variable of interest within the sample, while the sample standard deviation (Y) measures the dispersion or spread of the data around the sample mean. The sample mean is calculated by summing up all the values in the sample and dividing it by the sample size. The sample standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each value and the sample mean.

The sample mean is a useful statistic as it provides an estimate of the population mean, assuming the sample is representative of the population. It is often used to make inferences about the larger population. On the other hand, the sample standard deviation indicates the variability within the sample. A smaller standard deviation suggests that the data points are closer to the sample mean, while a larger standard deviation indicates greater variability or dispersion.

It is important to note that the sample mean and sample standard deviation are statistics calculated from the sample and are subject to sampling variability. To make more accurate inferences about the population, it is often necessary to use inferential statistics, such as confidence intervals or hypothesis testing. These techniques take into account the sample size, sample mean, and sample standard deviation to draw conclusions about the population parameters.

Overall, the simple random sample provided a sample mean of X and a sample standard deviation of Y, which are essential measures to understand the central tendency and dispersion of the data within the sample.

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To show that v is an eigenvector of matrix A and find the corresponding eigenvalue, we need to check if Av = λv, where A is the given matrix, v is the proposed eigenvector, and λ is the eigenvalue.

Matrix A:
[1 2]
[2 1]

Vector v:
[ 8]
[-8]

Let's compute Av: [1 2]   [ 8]   [ 8 + (-16)]   [-8]
[2 1] x [-8] = [16 +  8  ] = [ 8], Now, we can see that Av = [-8, 8]. To find the eigenvalue, we need to find a scalar λ such that Av = λv. Let's compare Av with λv: Av = [-8], [ 8], λv = [λ *  8], [λ * -8]
Comparing the two, we can see that λ = -1, since -1 * 8 = -8 and -1 * -8 = 8. Therefore, v is an eigenvector of matrix A, and the corresponding eigenvalue is λ = -1.

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Answer:

A. vertex, (3, 0); y-intercept 4.5

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 3 , 0 )

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  

( 3 , 0 )

y-intercept(s):  

( 0 , 4.5 )

Check the picture below.

so firstly let's find side "a"

\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ a = \sqrt{7^2+12^2~-~2(7)(12)\cos(55^o)} \implies a = \sqrt{ 193 - 14112 \cos(55^o) } \\\\\\ a \approx \sqrt{ 193 - (96.3608) } \implies a \approx \sqrt{ 96.6392 } \implies a \approx 9.8305\)

now, let's use "a" to get angle C

\(\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( C )}{7}\approx\cfrac{\sin( 55^o )}{9.8305}\implies 9.8305\sin(C)\approx7\sin(55^o) \implies \sin(C)\approx\cfrac{7\sin(55^o)}{9.8305} \\\\\\ C\approx\sin^{-1}\left( ~~ \cfrac{7\sin( 55^o)}{9.8305} ~~\right)\implies \boxed{C\approx 35.7^o}\)

Make sure your calculator is in Degree mode.

Answer:

since they are parallel lines therefore the angles hence formed will also be equal

x+5=2x-7

5+7=2x-x

12=x

hence the ans is 12

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

4th one

Step-by-step explanation:

if you add them

Scores range from 80 to 99, with scores exceeding 99 and scores falling below 60 points.

In the given range of scores, which spans from 80 to 99, it encompasses a range of values that are considered satisfactory and relatively high. These scores reflect a level of achievement or performance within a specific context, such as academic grading or test results. Additionally, it is important to note that there are scores that exceed 99, indicating exceptional performance or outstanding results. On the other hand, there are also scores below 60, which indicate lower levels of achievement or performance. These scores may require further attention or improvement in order to reach a more desirable outcome. The varying range of scores allows for a comprehensive evaluation of individuals or entities based on their performance, highlighting both strengths and areas that may need improvement.

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From the given information, we know that the expression that models the population of amoebas with respect to time is:

Where x is the number of hours. by replacing 9 for x, we can find the population after 9 hours, like this:

Then, the population of amoebas after 9 hours is 5832.

Answer:

x= - 9

Step-by-step explanation:

x = 27 / - 3

x = -9

Hope this helps

Answer:

x=9

Step-by-step explanation:

-3x=27

or, x=27/-3

or, x= -9

Answer:

it's -5/2

A-P-E-X

For computer company hired interns from a group of 234 applicants.

a) Probability that intern had a computer science major and did not get hired is \( \frac{112}{234} \)

b) Probability that interns had a major other than computer science is \( \frac{38}{234} \)

c) Probability that interns had a computer science and get hired = \( \frac{58}{234} \).

4) probability that an intern with a major other than computer science was not hired is \( \frac{38}{234}\).

Probability is defined as the chance of occurrence of an event. It is calculated by the ratio of favourable outcomes to the total possible outcomes. We have a table data of computer company that hired interns. Total number of applicants = 234

the table shows data of the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. Number of outcomes for an intern had a computer science major and did not get hired = 112

1) Probability that intern had a computer science major and did not get hired = \( \frac{112}{234} \).

2) Number of interns had a major other than computer science = 38

Probability that interns had a major other than computer science = \( \frac{38}{234} \).

3) Number of interns had a computer science major and hired = 58

Probability that interns had a computer science and get hired = \( \frac{58}{234} \).

4) Number of interns had a major other than computer science was not hired

= 38

Probability that an intern with a major other than computer science was not hired = \( \frac{38}{234} \). Hence, required value is \( \frac{38}{234} \).

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Complete question:

a computer company hired interns from a group of 234 applicants. the table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. match the probabilites with the description. column a 1. what is the probability that the intern had a computer science major and did not get hired.

2. what is the probability that the intern had a major other than computer science?

3. what is the probability that a computer science major was hired?

4. what is the probability that an intern with a major other than computer science was not hired

column b a.conditional - 36.2% b.conditional - 48.6% c.joint - 43.6% d.joint - 51.2% e.marginal - 68.3% f.marginal - 31.6%.

The key feature is that; The left side continues down, and the right side continues up.

We are given the polynomial;

Polynomial function;

f(x) = 2x³ + 5x² - 2x - 3

Leading coefficient = 2

Degree of the polynomial = 3

Since, degree of the polynomial given is odd and the leading coefficient is positive.

Therefore, left side of the graph will continue down and the right side continues up.

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Answer:

Step-by-step explanation:

3:3:2 = 3x +2x +3x = 8x

112 = 8x

x = 14

alex = 3x = 3(14) = 42

sara = alex = 42

henry = 2x = 28

48+140=188

92+210=302

if you at all it equals 490

Answer:

Y e s

Step-by-step explanation:

all the time

I gotta mop the ocean now ;-;

excoose meh

Answer:

7 months

Step-by-step explanation:

just took the test

Answer:

The age of baby is 7 month.

Step-by-step explanation:

The slope is the number "m" multiplied on the x in the equation of a straight line (when written as "y = mx + b"), and the y-intercept is "b." (that is, the point where the line crosses the vertical y-axis).

\(1.2 * 7 + 8.9 = 17.3 & 17.3\)

is close to \(17.5\)

Hence, the age of baby is 7 month.

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