Question: Solve the system of equations. Show or explain your reasoning.

(i would appreciate the help! thanks :)

The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

The square can be defined as a two-dimensional figure that has 4 equal sides.

Given are the equations of the areas of the polynomial.

Option C: \(16 x^2 + 24x +9\)

We can write the above equation as,

\((4x)^2 + 2 \times 4x \times 3 + (3)^2\)

\((a+b)^2 = a^2 + 2ab+b^2\)

Here a = 4x  and b = 3, so

\(16x^2 + 24x+9 = (4x+3)^2\)

The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.

Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

To know more about the area of the square, follow the link given below.

https://brainly.com/question/1658516.

Answer:

4.2, would be your answer if you are simplifying in decimal form.

Answer:

DECIMAL FORM:

Rounded to the nearest whole number: 4

Rounded to the nearest tenth: 4.2

Rounded to the nearest hundredth: 4.17

Rounded to the nearest thousandth: 4.167

Rounded to the nearest ten-thousandth: 4.1667

Rounded the the nearest hundred-thousandth: 4.16667

Rounded to the nearest millionth: 4.166667

MAIN ANSWER: 4.2

Step-by-step explanation:

Hope this helps! :D

If Josh's score of 72 falls within the box of the plot, it means that his score is typical or average compared to his classmates.

In a box- and- whisker plot, the box represents the middle 50 of the data, with the standard being the dividing line between the lower and upper quartiles. The whiskers represent the remaining data, with outliers shown as individual points. Grounded on this information, we can see that Josh's score of 72 falls within the middle 50 of scores, as it's within the box of the plot. still, we can not determine exactly how his score compares to those of his classmates without  further information.  

Minimum score: 50

Lower quartile (Q1): 65

Median (Q2): 75

Upper quartile (Q3): 85

Maximum score: 95

Josh's score: 72

Using the steps outlined previously:

Q1 = 65, Q2 = 75, Q3 = 85

IQR = Q3 - Q1 = 85 - 65 = 20

Minimum score = 50, Maximum score = 95

Since Josh's score (72) falls within the IQR (65 ≤ 72 ≤ 85), we compare it to the median:

Josh's score is less than the median, so approximately 50% of his classmates scored higher than Josh, and approximately 50% scored lower.

Learn more about statistics at

https://brainly.com/question/22825309

#SPJ4

a. Null hypothesis (H0): The standard deviation of SAT verbal scores is 110.
Alternative hypothesis (H1): The standard deviation of SAT verbal scores is not equal to 110.

b. We cannot determine if a Type II error occurred without knowing the results of the hypothesis test.

c. This is a two-tailed test (TTT) because the alternative hypothesis is not equal to the null hypothesis.

d. We will use a two-tailed z-test for the standard deviation.

e. The critical value for a two-tailed z-test at α = 0.05 is ±1.96. The rejection region is any z-score less than -1.96 or greater than +1.96.

f. The standardized test statistic formula is:
z = (s - σ) / (σ / sqrt(n))
where s is the sample standard deviation, σ is the hypothesized population standard deviation, and n is the sample size.

Substituting the given values, we get:
z = (120 - 110) / (110 / sqrt(15)) = 1.65

g. Since the calculated z-score of 1.65 is not in the rejection region, we fail to reject the null hypothesis. Therefore, we cannot accept the administrator's claim that the standard deviation of SAT verbal scores is 110.

h. Interpretation: At α=0.05, we fail to reject the null hypothesis and do not have sufficient evidence to support the administrator's claim that the standard deviation of SAT verbal scores is 110.
Hi there! I'd be happy to help you with your question. Let's break down the components of the hypothesis test for the SAT verbal scores.

a. Claim (H0): The null hypothesis (H0) is that the population standard deviation (σ) is equal to 110, as stated by the administrator.

b. Since we are testing the standard deviation, a Type II error would occur if we fail to reject the null hypothesis when the true standard deviation is not 110.

c. This will be a two-tailed test (TTT), as we are looking for a difference in the standard deviation, either higher or lower than the claimed value.

d. We will use the Chi-Square test for hypothesis testing because we are testing the variance (or standard deviation) of a normally distributed population.

e. Critical value and Rejection region: At α = 0.05 and degrees of freedom (df) = n - 1 = 15 - 1 = 14, the critical values for the chi-square distribution are χ²(0.025,14) = 23.68 and χ²(0.975,14) = 6.57. The rejection region will be χ² > 23.68 or χ² < 6.57.

f. Standardized test statistic:
χ² = [(n - 1) * s²] / σ² = [(15 - 1) * (120)²] / (110)² = 14 * 14400 / 12100 = 201.65

g. Decision: Since 201.65 falls outside of the rejection region (201.65 > 23.68), we reject the null hypothesis.

h.At α = 0.05, we have enough evidence to conclude that the standard deviation of SAT verbal scores is significantly different from 110.

Visit here to learn more about standard deviation brainly.com/question/23907081

#SPJ11

Answer:

94 oranges

Step-by-step explanation:

Divide 140 by 2 and then add 24 to get the orange quantity

94 oranges

46 tangerines

Expected Return is usually based on anticipated income and anticipated capital appreciation of the companies performance..

Portfolio is simply defined as a list of securities showing how much is (or will be) invested in each of them.

The expected return on a portfolio is calculated as the weighted average of the expected returns on the securities that the portfolio involves. The weight of each security is the a Portion or a fraction of wealth invested in that security. Expected return on a portfolio of N securities is: rp= sum (Xr).

Expected Return is usually based on anticipated income and anticipated capital appreciation.

The expected return on a portfolio is defined as the expected amount of returns that a portfolio may generate. And it is established on the weighting of assets in a portfolio and their anticipated capital appreciation and must be equal to or greater than the expected return of the worst-performing security in the portfolio.

learn more about of portfolios here

https://brainly.com/question/22438370

#SPJ4

The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Learn more about z score at https://brainly.com/question/25638875

#SPJ4

Answer:

327 miles

Step-by-step explanation:

Answer:

327.5 miles

Step-by-step explanation:

45 times 4.5 + 50 times 2.5 = 327.5

The ratio of Amy's score to Bill's score to Cara's score in its simplest form is 10:1:5.

In Mathematics, a ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

In this scenario, we would assign a variable x to the score obtained by Amy. This ultimately implies that, let the variable x represent Amy's score.

From the information provided, we can logically deduce the following parameters;

Therefore, the ratio of their scores is given by this mathematical expression;

Ratio = x: x/10: x/2

Ratio = 1 : 1/10 : 1/2

Multiply all through by 10, we have;

Ratio = (1 × 10): (1/10 × 10) : (1/2 × 10)

Ratio = 10:1:5.

Read more on ratio here: https://brainly.com/question/24268859

#SPJ1

Answer:

6.2x10^3

Step-by-step explanation:

I just used a scientific calculator

Answer:

$16

Step-by-step explanation:

she has $14 now

her parents let her earn 6

so $14 - $6 = $8

so thats what was left over from her allowance. she spent half of her allowance to get to $8 so you double the money

$8 * 2 = $16

$16 is her weekly allowance

Answer:

4y^4√3x^2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

see explanation

Step-by-step explanation:

Her error is in squaring (2y)²

She has (2y)² = 2y²

when it should be 2y × 2y = 4y²

Then

(2y)² = 6² + 8²

4y² = 36 + 64

4y² = 100 ( divide both sides by 4 )

y² = 25 ( take square root of both sides )

y = \(\sqrt{25}\) = 5

Answer:

3 ÷ 8 and 8÷3

Step-by-step explanation:

The probability that the lawyer will flip to a page number that is not a multiple of 4 is 19/25. The total number of pages in the legal document is 50. We want to find the probability of landing on a page number that is not a multiple of 4.

To calculate this probability, we need to find the complement of the event "landing on a page number that is a multiple of 4." In other words, we want to find the probability of landing on a page number that is not a multiple of 4, which is the complement of landing on a page number that is a multiple of 4.

The pages that are multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48.

The number of pages that are not multiples of 4 is the total number of pages (50) minus the number of pages that are multiples of 4 (12).

Therefore, the number of pages that are not multiples of 4 is 50 - 12 = 38.

The probability of landing on a page number that is not a multiple of 4 is:

P(not a multiple of 4) = Number of pages that are not multiples of 4 / Total number of pages

P(not a multiple of 4) = 38 / 50

Simplifying this fraction, we get:

P(not a multiple of 4) = 19/25

Therefore, the probability that the lawyer will flip to a page number that is not a multiple of 4 is 19/25.

Learn more about probability here:

brainly.com/question/27342429

#SPJ11

Answer:

The other continents were unknown to Europeans. After Columbus discovered the American continents the "world" of Europe, Africa, and Asia were often referred to as the "Old World" while the Americas were called the "New World".

Please mark me brainliest ;w;

Answer:  There needs to have more info than that

Step-by-step explanation:

Answer:

Step-by-step explanation:

they want the values of y and x.

DA=BC

DC=AB

so we can tell that given that E is an intersection:

DE=BE

CE=AE

Answer:

Left-most x-intercept: (-5,0)

Right-most x-intercept: (3,0)

Step-by-step explanation:

On edge :)

Answer:

x=50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

So the equation is 2x+25=125. you first subtract the 25 from the 125 which you'll get 100 and then divided by 2 which leaves the x alone and so 100/2 = 50 so x= 50

Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer:

180

Step-by-step explanation:

because im always right

Answer:

180 degrees

Step-by-step explanation:

All triangles have an interior angle sum of 180 degrees.

Answer: A

Step-by-step explanation:
To form a triangle, the two smaller lengths must be bigger than the largest side(Hopotonuse or sum, cant spell)

8 + 7 = 15
15>14

The possible lengths to complete a triangle with side lengths of 14 in. and 8 in. are  6 < x < 22.

The triangle inequality theorem states that for any given triangle, the total of the two sides is always greater than the sum of the three sides. The Triangle is a polygon with three line segments as its boundaries. That is the tiniest polygon imaginable.

We have side lengths of 14 in. and 8 in.

Using Triangle inequality we know that the sum of two is greater than the third side.

Also, the range for third side is

14 + 8 = 22 inch

14 - 8 =  6 inch

So, the third side lies between as 6 < x < 22.

Learn more about Triangle inequality here:

https://brainly.com/question/30298845

#SPJ7

Answer:

10

Step-by-step explanation:

let,

A = (-4, 5)

B = (-4, -3)

C = (2, -3)

we can use distance formula to calculate the length,

\(d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

therefore,

\(l_{AB} = 8\\l_{BC} = 6\\l_{AC} = 10\)

hence length of longest side is 10

Hopefully this answer helped you!!

\(\dfrac{13}4 x -8y-\dfrac54 x +7y +5\\ \\=\dfrac{13x-5x}{4} -y+5\\\\=\dfrac{8x}{4}-y+5\\\\=2x-y+5\)

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

To learn about stochastic process here:

https://brainly.com/question/32574493

#SPJ11

Answer:

refer the attachment......

Step-by-step explanation:

hope this works

Answer:

15/4 or 3 3/4 or 3.75

Step-by-step explanation:

We can split it up like 225 (square root) divided by 16 (square root). If you recall squares, you will know 225 square root is 15, and 16 square root is 4. So 15/4 is the answer, or if you want to simplify 3 3/4, and decimal will be 3.75.