Given the relation y = x² + 3x + 2, find the outputs for x = -2, -1, 0, 1, and 2.
Complete the table (marking brainliest)

In the equation t(78) = 1.03, "p < .01" represents a statistical significance level or the probability of observing the obtained result due to chance alone.

In statistical hypothesis testing, the notation "p < .01" refers to the significance level or the probability threshold used to assess the statistical significance of a result.

In this case, it means that the obtained result, indicated by t(78) = 1.03, is statistically significant at a level of p < .01.

This implies that the likelihood of observing a result as extreme as or more extreme than the obtained result due to chance alone is less than 1%. In other words, the result is unlikely to occur by random variation alone and suggests that there may be a true effect or relationship in the population being studied.

The significance level helps researchers determine whether to accept or reject a null hypothesis based on the strength of evidence provided by the data.

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Answer:

61

Step-by-step explanation:

8×(-3)+7×5+(-10)²÷50

apply the PEMDAS rule or (parenthesis, exponent, multiplication,division,addtion,subraction)

24+7×5+(-10)²÷50

24+7×5+100÷50

24+35+100÷50

24+35+2

61

Answer:

um

Step-by-step explanation:

i dont know

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

18.445

Step-by-step explanation:

Multiply

Therefore, the probability that 0 < X < 1 is approximately 0.3413, or 34.13%.

If a random variable X is distributed normally with zero mean and unit standard deviation (X ~ N(0, 1)), the probability that 0 < X < 1 can be calculated using the standard normal distribution table or a statistical software.

In this case, we need to find the area under the normal curve between 0 and 1 standard deviations from the mean. Since the standard deviation is 1, we are interested in finding the probability that the value of X falls between 0 and 1.

Using the standard normal distribution table, we can look up the cumulative probability associated with 1 standard deviation from the mean, which is approximately 0.8413. Similarly, we can look up the cumulative probability associated with 0 standard deviations from the mean, which is 0.5.

To find the probability that 0 < X < 1, we subtract the probability associated with 0 from the probability associated with 1:

P(0 < X < 1) = P(X < 1) - P(X < 0) = 0.8413 - 0.5 = 0.3413

Therefore, the probability that 0 < X < 1 is approximately 0.3413, or 34.13%.

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Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Answer:

answer is c

Step-by-step explanation:

bcs they are congruent

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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Answer:

Answer is Group 1

Step-by-step explanation:

USA TEST PREP

Answer:

B

Step-by-step explanation:

I did the prep

Its slope is m = 1 on the right side of the vertex, and m = - 1 on the left side of the vertex.

Absolute Value Function:

An absolute value function is a function that contains an algebraic expression within the absolute value sign. Remember that the absolute value of a number is its distance from 0 on the number line. To graph the absolute value function, select some values ​​of x and find some ordered pairs.

In mathematics, the absolute value or modulus of the real number x, represented as.

|x| is the non-negative value of x, regardless of sign.

x is positive and |xI =-x}.  For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value of a number can be thought of as the distance from zero.

Generalizations of the absolute value of real numbers are made in a variety of mathematical contexts. For example, absolute value is also defined for complex numbers, quaternions, ordinal rings, fields, and vector spaces. Absolute value is closely related to the concepts of magnitude, distance, and norm in various mathematical and physical contexts.

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The number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is 210.

In problem 1, there are three possible outcomes for each game: win, loose, or tie.

So, for seven games, there are 3x3x3x3x3x3x3 = 2187 different outcomes.

For problem 2, we need to calculate the number of ways that team A can win two games, lose three games, and tie two games.

To do this, we can use the binomial coefficient formula, which is (n choose k) = n!/(k!(n-k)!).

In this case, n=7 (the total number of games), k=2 (the number of games that team A wins), and m=2 (the number of games that team A ties).

So the number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is (7 choose 2)(5 choose 3)(2 choose 2) = 210.

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Answer:

73 nails

Step-by-step explanation:

Number of 1 inch = 255

Boxes of 2 - inch = 5

Each box of 2 _inch has equal amount of nails

Total number of nails = 620

Number of nails in each box of 2_inch nails:

Let Number of nails in each box = b

Number of 1_inch + 5 * number of 2_inch = 620

255 + 5b = 620

5b = 620 - 255

5b = 365

5b / 5 = 365 / 5

b = 73

Hence, there are 73 nails in each box of 2_inch nails

Answer:

24 meters

Step-by-step explanation:

8*3=24

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

5

Step-by-step explanation:

Answer:

-1x

Step-by-step explanation:

5x + 5y = 15

5x - 15 = -5y ^^ Subtraction Property of Equality

x - 3 = -y ^^ Division Property of Equality

-x + 3 = y ^^ Multiplication Property of Equality

-x = slope

The term that best describes the analysis conducted by the researcher is trend analysis.

We have,

Trend analysis involves studying data over time to identify patterns or trends.

In this case,

The researcher recorded the lengths of fish caught in the lake over several years and observed that the average length has been decreasing by approximately 0.25 inches per year.

By recognizing this consistent decrease over time, the researcher has conducted a trend analysis to understand the long-term pattern in the data.

Thus,

The term that best describes the analysis conducted by the researcher is trend analysis.

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Answer:

x=5

Step-by-step explanation:

The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We know the vertex form of the parabola is:

y = a(x - h)² + k

Given,

h = 3

k = 5

y = a(x - 3)² + 5

The axis of symmetry:

x - 3 =0

x = 3

Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

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Answer: B. 192

Step-by-step explanation: The area of the square is 170. The area of the triangle is 22.

151 is required random sample

Margin of Error

The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population.

Given,

Margin  of error, ME = 0.08

Confidence Interval, CI = 95%

Z Score against confidence interval = 1.96

We know that,

\(1.96\sqrt{\frac{(0.5)(0.5)}{n} }\)≤ 0.08

From this determine n,

\(\sqrt{\frac{0.25}{n} }\)≤ 0.040816

\(\frac{0.25}{n}\)≤ 0.00166599

150.06≤n

That is 151 is required random sample.

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The number of ounces gained by the Kitten before it went home with its new owner is; 3 1/8 ounces.

It follows from the task content that the it is required that the weight gained by the kitten in ounces is to be determined.

Since the kitten weighed 5 1/2 ounces on the day it was sold and weighed; 3 3/8 ounces at birth, the number of ounces gained is;

= 5 1/2 - 3 3/8

= 11/2 - 27/8

= (44 - 27)/8

= 17/8

= 2 1/8 ounces.

Ultimately, the weight gained by the kitten, in ounces following evaluation from the task content is; 2 1/8 ounces.

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Answer:

8.79 | 8.8 | 8.816 | 8.84 | 8.879 | 8.8 | 8.88 | 8.945

Answer:

20x +1

Step-by-step explanation:

do the exponite first. 4X4=16. then add on 4x, 16x+4x=20x, then add on 1

Based on the given information and the equation of the line of fit, which is y = -0.71 + 0.86x, we can analyze the model for the years from 1958 to 1963.

In 1958, the price of a postage stamp was 4 cents. From the equation, we can substitute x = 0 (representing the number of years since 1958) to find the predicted price:

y = -0.71 + 0.86(0)

  = -0.71 + 0

  = -0.71

The predicted price of a stamp in 1958 based on the model is -0.71 cents. However, since the price of a stamp cannot be negative, this prediction does not make sense in the context of the problem.

Therefore, we can conclude that the model based on the given equation does not accurately represent the price of a postage stamp for the years from 1958 to 1963. The model might be more applicable for the years after 1963, but it fails to capture the behavior of the stamp price during the initial years.

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Answer:

Step-by-step explanation:

The area of the equilateral triangle is \(\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}\)

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)