simplify the expressions 3x+5y+12 2x-y and 9x+2y-2

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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SOLUTION:

Step 1:

In this question, we are given the following:

1. Find the zeros of the quadratic function by graphing. Round to the nearest tenth if necessary.

f(x) = -2x² + 3x +1

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answers are:

The passive voice of the sentences will be:

It should be noted that a passive voice simply means a form of verb where the subject undergoes the action of the verb.

In this case, the passive voice is used to emphasize the action. In order to identify the passive voice, one should look at what happened and who was responsible.

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The leapfrog method is commonly used for syndromic surveillance. So, the correct answer is A).

Syndromic surveillance is a type of public health surveillance that monitors and tracks the occurrence of symptoms or health conditions that are associated with a particular disease outbreak. The leapfrog method is a data analysis technique used in syndromic surveillance to detect anomalies or outbreaks in health data.

This method involves comparing the current observed data with the previous data and the expected values. The expected values are calculated based on the previous data and the trends observed. If the observed data deviates significantly from the expected values, then it indicates a possible outbreak or anomaly.

The leapfrog method is particularly useful in detecting outbreaks of infectious diseases, bioterrorism events, and environmental health hazards. It is widely used by public health agencies and surveillance systems to monitor and respond to potential health threats. the correct option is A).

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--The given question is incomplete, the complete question is given below "the leapfrog method is used for which of the following types of surveillance?

syndromic surveillance

Passive surveillance

Sentinel surveillance

Aggregate surveillance "--

Answer:

D': (3,0)

E': (1,2)

F': (2,4)

Step-by-step explanation:

Using this formula below: (x,y) -> (-y,x) AND finding out the coordinates of D (0,-3), E (2,-1), and F (4,-2)

Just plug in all of the x and y into the formula to get the answer as the one I got, hope this helps!

The probability of taking an orange marbe out, equals the amount of orange marbles divided by the total amount of marbles.

Since there are 3 yellow, 6 black, 3 green and 9 orange marbles, the total number of marbles is:

The probability of taking an orange marble out, will be:

Therefore, there is a 3/7 probability of taking an orange marbe out.

Answer:

r/c  

Step-by-step explanation:

96/48

or

24/12

Answer:

GH = 49

GJ = 35

HJ = 35

Step-by-step explanation:

:::::

Answer: Use a compass to measure the length of AB. Draw an arc from point B (or point A) with that distance. Extend line AB through that arc and label the intersection as point C. AC is twice the length of AB.

Answer: You could use the construction tool or a compass and straightedge to create a line segment that is twice as long by placing the center of your compass on point then adjusting the compass width to AB's length. Next, place the compass's center on B and draw an arc without changing the compass's width. After that, draw a line from Point A to the arc with your straightedge, this new line segment should now be twice as long as the previous one.

Step-by-step explanation:

Hope this helps

The plane \(x+4y+z=6\) has normal vector \(\vec n = \vec\imath+4\,\vec\jmath+\vec k\). Any line perpendicular to this plane is parallel to \(\vec n\). The one that passes through the origin is \(\vec n\,t\), where \(t\in\Bbb R\). Translate this line by the vector \(\vec\imath+6\,\vec k\) to get the line we want,

\(\vec r(t) = \vec n\,t + \vec\imath + 6\,\vec k = (t+1)\,\vec\imath + 4t\,\vec\jmath + (t + 6)\,\vec k\)

In parametric form, we have

\(\begin{cases} x(t) = t + 1 \\ y(t) = 4t \\ z(t) = t + 6 \end{cases}\)

Answer:.

Answer:1.we have dividend =divisor*quotient+remainder=

(x²+2x-1)(x²-2x+1)+(-4x+1)

=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1

=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1

=x⁴-4x²

Dividend is x⁴-4x².

2.

Multiplier is a-a²+1.

Answer:

\(i \: hope \: the \: above \: picture \\ helps\)

\(have \: a \: nice \: day \: \)

\(#Liliflim\)

Using statistics helps us make decisions based on empirical evidence, which is obtained through data analysis and inference.

Statistics provides us with a set of tools and methods to collect, analyze, and interpret data. By applying statistical techniques, we can make decisions based on evidence derived from empirical observations and measurements.

Statistics allows us to summarize and describe data, identify patterns and relationships, and draw conclusions from samples or populations. It helps us quantify uncertainty and assess the strength of evidence supporting different claims or hypotheses.

Decision-making based on statistics involves making inferences about a larger population based on the information available from a sample. By using probability theory and statistical models, we can estimate population parameters, test hypotheses, and make predictions about future events or outcomes.

Statistics provides a systematic and rigorous framework for evaluating evidence and reducing bias in decision-making. It allows us to objectively assess the reliability and validity of information, making decisions that are informed by data-driven analysis rather than intuition or anecdotal evidence.

In summary, statistics helps us make decisions based on evidence obtained through data analysis, enabling us to draw reliable conclusions, quantify uncertainty, and make informed choices in various fields such as business, medicine, social sciences, and more.

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To determine how much money we had in the first place we can use a rule of three:

Then we have that:

Therefore, you originally has $200

Answer:

553

Step-by-step explanation:

567 - 14 = 553

Answer:

c = 16g

Step-by-step explanation:

g = 1/16 c

Multiply both sides by 16.

16g = c

c = 16g

Answer:

c = 16g

Step-by-step explanation:

g=1/16c

This is an algebric equation that requires you to multiply both sides by 16.

g × 16 = 1/16c × 16

16g = c

Answer:

m=3/5 rise:3 run:5

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

Answer:

Step-by-step explanation:

x=5 so y would = 3

The expressions that represent the number of each coin are

Dimes is 2x, Nickels is 2x + 4, and Pennis is 3x.

To form the equation of a given we need to understand the condition in the given problem. Here we use variable 'x' to represent the unknown values. In the given problem, 'x' represents the number of quarters by taking quarters as 'x' we will express the remaining coins in terms of 'x'.

Here we have

Penelope is collecting money from charity and his collection is

Twice as many dimes as quarters  

4 more nickels than dimes and

three times as many pennies as quarters

Given 'x' represents the number of quarters  

Number of dimes = twice of quarters = 2x

Number of nickels = 4 more than dimes = 2x + 4

Number of Pennis = three times the quarters = 3x

Therefore,

The expressions that represent the number of each coin are

Dimes is 2x, Nickels is 2x + 4, and Pennis is 3x.

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By using the concept of depreciation, it is obtained that

New population  after 9 years = 24012

What is Depreciation?

Depreciation is the decrease in the value of a population or any asset over a period of time at a certain rate.

The concept of depreciation has been used here

Original population = 28800

Rate of decrease of population = 2%

Time = 9 years

New population  after 9 years = \(28800(1 - \frac{2}{100})^9\)

                                                  = \(28800({1 - \frac{1}{50})^9\\\)

                                                  = \(28800(\frac{49}{50})^9\)

                                                  = 24011.94

                                                  = 24012

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75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

the answer is 5 degrees

Step-by-step explanation:

The measure of the angles is m∠SAU= 24°

The incenter is the point at which all of the attitude bisectors meet in the triangle, like within the video. It is not always the middle of the triangle.

In triangle ABC, V is the incenter of the triangle.

Since, m∠SAV = 26°

And m∠SBV = 2(m ∠SAV)

                    = 2 × 26°

                    = 52°

Since Property of the incenter of a triangle;

Therefore, DG = EG = GF = 10

Since, m∠A + m∠B + m∠C = 180°

2(18)° + 34° + 2(m∠SAU) = 180°

2(m∠SAU) = 180° - 132°

m∠SAU= 24°

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Answer:

2;3, that is the ratio =)

Step-by-step explanation:

Answer:The answer would be 4 to 6 or 4:6

If the level of GDP increased by $400 billion in a private closed economy with a marginal propensity to consume of 0.80, aggregate expenditures must have increased by $400 billion.

If the level of GDP increased by $400 billion in a private closed economy where the marginal propensity to consume (MPC) is 0.80, we can calculate the increase in aggregate expenditures.

The marginal propensity to consume (MPC) represents the proportion of additional income that people choose to spend. In this case, with an MPC of 0.80, it means that for every additional dollar of income, people will spend $0.80 and save $0.20.

To calculate the increase in aggregate expenditures, we can use the concept of the expenditure multiplier, which is the inverse of the marginal propensity to save (MPS). The MPS is equal to 1 - MPC.

MPS = 1 - MPC

MPS = 1 - 0.80

MPS = 0.20

The expenditure multiplier (k) is calculated as:

k = 1 / MPS

k = 1 / 0.20

k = 5

Now, we can calculate the increase in aggregate expenditures (ΔAE) using the formula:

ΔAE = ΔGDP × k

ΔAE = $400 billion × 5

ΔAE = $2000 billion

Therefore, the correct answer is $2000 billion.

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The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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