The table below shows some of the values of y = x2 + x − 4 for values of x from –3 to 3.

(a) Complete the table by finding the values of y for x = –1 and for x = 1.

Answer:

x is 7

EF is 10

FG is 12

Step-by-step explanation:

\(EF + FG = EG \\ (4x - 18) + (3x - 9) = 22 \\ 7x - 27 = 22 \\ 7x = 49 \\ x = 7\)

then substitute:

\(EF = 4x - 18 \\ EF = 4(7) - 18 \\EF = 28 - 18 \\ EF = 10\)

\(FG = 3x - 9 \\ FG = 3(7) - 9 \\FG = 21 - 9 \\ FG = 12\)

First question:

BC + BA = CA

BC = CA - BA

BC = 36 - 9

BC = 27

Yes, a post hoc test should be performed after an ANOVA with three or more levels if the ANOVA finds a significant result.

Post hoc tests are used to determine which specific levels within the factor are responsible for the significant result.

1. An ANOVA is performed to test if there is a significant difference between the means of three or more levels of a factor.

2. If the ANOVA finds a significant result, then a post hoc test should be performed to determine which specific levels within the factor are responsible for the significant result.

3. Post hoc tests compare the means of each level of the factor to determine which levels are significantly different from each other and which are not.

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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Answer:

12÷5= 2.4 miles per hour

Step-by-step explanation:

(144÷12)÷(15÷3)

= 12÷5

=2.4

1. 4x+36

2. -6x+12

and aww your pfp

Answer:

Billy he is going to get 10 and the other one 1p

Answer:

7mph and he stayed the same

Step-by-step explanation:

Larry's average speed from hour 2 to hour 4 and from hour 4 to hour 7 is the same, 7 mi/hr, he maintained a constant speed throughout this period.

Given that Larry recorded his time as he ran

Time elapsed(hr)         Distance run(mi)

     2                                       13.5

     4                                       27.5

     7                                       48.5

We need to calculate his average speed,

To calculate Larry's average speed, we need to divide the total distance he ran by the time elapsed.

Let's calculate his average speed from hour 2 to hour 4 and from hour 4 to hour 7:

Average speed from hour 2 to hour 4:

Distance covered = 27.5 mi - 13.5 mi = 14 mi

Time elapsed = 4 hr - 2 hr = 2 hr

Average speed = Distance covered / Time elapsed = 14 mi / 2 hr = 7 mi/hr

Therefore, Larry's average speed from hour 2 to hour 4 was 7 miles per hour.

Average speed from hour 4 to hour 7:

Distance covered = 48.5 mi - 27.5 mi = 21 mi

Time elapsed = 7 hr - 4 hr = 3 hr

Average speed = Distance covered / Time elapsed = 21 mi / 3 hr = 7 mi/hr

Therefore, Larry's average speed from hour 4 to hour 7 was also 7 miles per hour.

Since Larry's average speed from hour 2 to hour 4 and from hour 4 to hour 7 is the same (7 mi/hr), he maintained a constant speed throughout this period. He neither sped up nor slowed down.

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Complete question =

Larry recorded his time as he ran. What was his average speed from hour 2 to hour 4?

What was his average speed from hour 4 to hour 7?

Did he speed up or slow down?

time elapsed(hr)         distance run(mi)

2                                       13.5

4                                       27.5

7                                       48.5

The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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**One advantage of using K-maps over De Morgan's theorem for simplifying logic** is that K-maps provide a visual representation that makes it easier to identify patterns and simplify expressions. **K-maps** (also known as Karnaugh maps) are graphical tools that allow for systematic reduction of Boolean expressions. They help in minimizing the number of gates and inputs required in a circuit, leading to more efficient designs. By visually grouping and combining adjacent cells, K-maps provide a structured approach to simplification, reducing the likelihood of errors compared to manual application of De Morgan's theorem.

De Morgan's theorem, on the other hand, is a mathematical technique used to simplify Boolean expressions. It involves negating both sides of an equation and applying specific rules. While De Morgan's theorem is effective for algebraic simplification, it lacks the visual representation and systematic approach offered by K-maps. Therefore, for complex logic simplification tasks, K-maps often prove to be more advantageous due to their intuitive graphical nature.

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Answer:  m= -1/2

Step-by-step explanation:

Hope the gif loads to help you but if not thats the answer.

Number of students included  in the sample to estimate the proportion with confidence interval 95% is equal to 9604.

As given in the question,

Confidence interval = 95%

z -critical value for 95% confidence interval = 1.96

Estimate proportion is in the limit 0f 0.07

Let us assume value of

sample proportion 'p' = 0.5

Margin of error  = 0.01

level of significance = 0.05

let 'n' be the sample size to represent number of students included for the hypothesis.

n = p ( 1 - p ) ( z- critical value / margin of error )²

⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²

⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)

⇒ n = 0.25 × 38416

⇒ n = 9604

Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.

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The segment lengths, considering the reflection, are given as follows:

The length of segment CL is obtained considering the ruler, as follows:

Hence the length of segment CL is obtained as follows:

3.5 - 0 = 3.5 units.

Segment LC' is obtained as a reflection of the polygon BKLC over the segment LK.

A reflection is a rigid translation, means that the original figure and the reflected figure are similar and congruent, keeping both the angle measures and the side lengths with the same values.

Segment LC' is the image of segment CL after the reflection, meaning that they are congruent, thus the length of segment LC' after the rotation is given as follows:

LC' = 3.5 units.

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Answer:

3.8 for both

explanation:

trust me bro

Answer:

c

Step-by-step explanation:

because it can't be put in a fraction

Answer:

c

Step-by-step explanation:

i said that at first but someone deleted my answer :(

Answer:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

Step-by-step explanation:

Any prism has two bases.  Since we are talking about a rectangular prism and a triangular prism both must have two bases.

For example, a square prism has two bases and they are both square.

In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.

Note: For the figure to have only one base it must be called a pyramid.

Thus, the answer is:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles

Answer:

a

Step-by-step explanation:

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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The function is given to be:

We can prepare a table of values for the values of x ranging from -2 to 2. The table is shown below:

Using a graphing calculator, we can plot the graph as shown below:

Answer: -12 -10i

Step by step:

(-9 -8i) - (3 +2i)

-9 -8i -3 -2i distribute negative to the 3 and 2i

-9 -3 -8i -2i combine like terms

-12 -10i

The difference of the given expression is -12-10i. Therefore, option C is the correct answer.

Given that, (3 + 2i) from (–9 – 8i).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, subtract the expression (3 + 2i) from (–9 – 8i)

That is -9-8i-(3+2i)

= -9-8i-3-2i

= -12-10i

The difference of the given expression is -12-10i. Therefore, option C is the correct answer.

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Answer:

(4,-8) is the only correct solution because it is the only one to have a Y value of -8

The ways to select the players from the total is 167960

From the question, we have

Total number of players, n = 20

Numbers to selection, r = 11 players

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 20 and r = 11

Substitute the known values in the above equation

Total = ²⁰C₁₁

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 20!/(11! * 9!)

Evaluate

Total = 167960

Hence, the number of ways is 167960

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The hypothesis test is two-tailed.

The P-value is the probability of obtaining a test statistic as extreme as the observed value (or even more extreme) under the null hypothesis. In this case, with a two-tailed test, we need to find the probability in both tails of the distribution. To find the P-value, we compare the test statistic to the critical values of the standard normal distribution. The P-value is the probability of observing a test statistic as extreme as 2.45 or more extreme in both directions.

Using a significance level of alpha equals 0.10, we compare the P-value to the significance level. If the P-value is less than the significance level, we reject the null hypothesis. If the P-value is greater than or equal to the significance level, we fail to reject the null hypothesis. In this case, if the P-value is less than 0.10, we reject the null hypothesis. If the P-value is greater than or equal to 0.10, we fail to reject the null hypothesis.

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Answer:

6 zeros in total

Step-by-step explanation:

Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)

Step-by-step explanation:

Find the points that lie on the x axis

Answer: You are correct. The answer is C) 7

This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

\({ \begin{array} {l}\\ \quad \qquad \huge\color{green}{\boxed{ \colorbox{black}{ \color{green}{ \tt {Answer}}} }} \\ \\ \dashrightarrow \sf5(9 - x) + 2 {}^{2} \div 2 \\ \\ \dashrightarrow \sf45 - 5x+ (4 \div 2) \\ \\ \dashrightarrow \sf45 - 5x + 2\\ \\ \dashrightarrow\sf47 - 5x\\ \\ \texttt{hence, the equivalent expression is : -5x + 47 }\end{array}} \)

Answer:

hey thats kinda confusing but im sending this text insted of giving a wrong answer cuz i need points also SUB TO TECHNOBLADE

Step-by-step explanation: