Use your graph to find estimates of the solutions to the equation x^2 - x - 2 = 3

Answer:

The correct answer is D.

Step-by-step explanation:

D. Yes, all of the conditions for inference are met.

The probability of the spinner landing on 2 reds is P ( 2 Reds ) = 1/8

Given data ,

To find the probability of spinning two reds, we need to calculate the probability of spinning a red on the first spin and then multiply it by the probability of spinning a red on the second spin.

The probability of spinning a red on the first spin is 1/4 since there is one red section out of four equal sections.

Now , the value of P ( R ) = 1/4

when the spinner is spun twice ,

P ( A ) = P ( R ) P ( R )

P ( A ) = 1/4 ( 1/4 )

On simplifying , we get

P ( A ) = 1/8

Hence , the probability is P ( A ) = 1/8.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

The area of a shape is the amount of space on the shape

From the question, the dimension of the painting is 6 inches by 10 inches

So, the area of the painting is:

Area = 6 * 10

Area = 60 square inches

Hence, the area of the painting is 60 square inches

From the question, the dimension of the picture is 9.5 inches by 13.5 inches

So, the area of the picture is:

Area = 9.5 * 13.5

Area = 128.25 square inches

The area of the frame is the difference between the area of the picture and the painting.

So, we have:

Frame = 128.25 - 60

Frame = 68.25

Hence, the area of the frame is 60.25 square inches

Read more about areas at:

https://brainly.com/question/24487155

The correct answer is option A: the optimal corner point won't change.

The optimal corner point is the point where the objective function reaches its maximum value, with the constraints of the problem being satisfied. If the slope of the objective function stays between the slopes of the binding constraints, it means that the current optimal corner point will remain unchanged.

This is because if the objective function's slope is within the slopes of the binding constraints, then the set of points where the objective function reaches its maximum value will be the same. Therefore, the optimal corner point will not change.

Learn more about Slopes here:

https://brainly.com/question/3493733

#SPJ4

The sample size should be approximately 4704 to achieve a margin of error of 4 with a 95% confidence level from a population with a standard deviation of 35.

To achieve a margin of error of 4 with a 95% confidence level from a population with a standard deviation of 35, the sample size should be calculated using the formula for sample size determination in confidence intervals.

To determine the required sample size, we can use the formula:

n = \((Z \cdot \sigma / E)^2\)

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (in this case, 95% confidence level)

σ = population standard deviation

E = margin of error

In this scenario, the margin of error (E) is 4, and the population standard deviation (σ) is 35.

We need to find the appropriate Z-score for a 95% confidence level.

The Z-score for a 95% confidence level is approximately 1.96.

Plugging in these values into the formula, we have:

n = \((1.96 \cdot 35 / 4)^2\)

Simplifying the equation, we get:

n = \((68.6)^2\)

n ≈ 4704

Therefore, the sample size should be approximately 4704 to achieve a margin of error of 4 with a 95% confidence level from a population with a standard deviation of 35.

Learn more about Standard Deviation here:

https://brainly.com/question/475676

#SPJ11

Answer:

$409.15

Step-by-step explanation:

The finance charge for September is $10.

Unpaid Balance at End of Month: $665.49 + $38.45 + $10.00 + $16.67 - $321.54 - $38.92 = $409.15.

The width of a confidence interval decreases as the sample size increases and increases as the confidence level increases.

So, we know that smaller samples result in narrower intervals.

Therefore, a confidence interval narrows as the sample size grows and widens as the level of confidence rises.

learn more about confidence intervals here:

brainly.com/question/24131141

#SPJ4

The expected return on James's portfolio is 18%.

The expected return on Siebling Manufacturing Company's common stock is 8.4%.

To calculate the expected return on James's portfolio, we need to take the weighted average of the expected returns of MSFT and AAPL based on their respective investments.

Let's assume James invests x% in MSFT and (100 - x)% in AAPL.

The expected return on James's portfolio can be calculated as:

Expected Return = (x * Expected Return of MSFT) + ((100 - x) * Expected Return of AAPL)

Substituting the given values:

Expected Return = (x * 12%) + ((100 - x) * 24%)

To find the value of x that makes James's investments equal, we set the weights equal:

x = 100 - x

Solving this equation gives us x = 50.

Now we can substitute this value back into the expected return equation:

Expected Return = (50% * 12%) + (50% * 24%)

Expected Return = 6% + 12%

Expected Return = 18%

Therefore, the expected return on James's portfolio is 18%.

To calculate the expected return on Siebling Manufacturing Company's common stock, we can use the Capital Asset Pricing Model (CAPM).

The CAPM formula is:

Expected Return = Risk-Free Rate + Beta * Market Premium

Risk-Free Rate = 2%

Market Premium = 8%

Beta = 0.8

Expected Return = 2% + 0.8 * 8%

Expected Return = 2% + 6.4%

Expected Return = 8.4%

Therefore, the expected return on Siebling Manufacturing Company's common stock is 8.4%.

Learn more about Capital Asset Pricing Model here:

https://brainly.com/question/32230922

#SPJ11

The z-score for the new player's salary is 0.59375

The z-score is a measure of how many standard deviations a value is from the mean. To find the z-score for a salary of $2.65 million, we can use the following formula:

z = (x - μ) / σ

where:

x = the salary of the new player ($2.65 million)

μ = the mean salary of professional baseball players ($2.46 million)

σ = the standard deviation of the salary ($0.32 million)

Plugging in the values, we get:

z = ($2.65 million - $2.46 million) / $0.32 million

z = ($0.19 million) / $0.32 million

z = 0.59375

Therefore, the z-score for the new player's salary is 0.59375. This means that the new player's salary is 0.59375 standard deviations above the mean salary of professional baseball players.

Learn more about standard deviations here :

brainly.com/question/30133347

#SPJ4

a) The z-score corresponding to the probability of 0.2000 to the right is z = 0.84.

b) The z-score corresponding to the probability of 0.9000 to the left is z = -1.28.

a) To find the z-score corresponding to a probability of 0.2000 to the right, we need to use the fact that the area under the standard normal distribution to the right of z is equal to 1 minus the area to the left of z.

In other words, we need to find the z-value such that the area to the left of it is equal to 1 - 0.2000 = 0.8000. Consulting a standard normal distribution table or using a calculator, we find that this z-value is approximately 0.84. Therefore, the answer is z = 0.84.

b) Similarly, to find the z-score corresponding to a probability of 0.9000 to the left, we need to find the z-value such that the area to the left of it is equal to 0.9000. Consulting a standard normal distribution table or using a calculator, we find that this z-value is approximately 1.28. Therefore, the answer is z = -1.28.

In both cases, we used the fact that the standard normal distribution has a mean of 0 and a standard deviation of 1, and we transformed the probability into an area under the curve.

To learn more about z-score click on,

https://brainly.com/question/30867544

#SPJ4

Complete question is:

For a standard normal random variable, what z-score has:

a) probability 0.2000 to the right? z = _____  

b) probability 0.9000 to the left? z = _________        

Answer:

Y represents an employee’s annual salary, measured in thousands of dollars. X1 represents an employee’s number of years of job experience. A value of 0 represents someone who has no job experience (such as a recent college graduate). X2 represents the number of years of graduate education.

Step-by-step explanation:

I do not have that.

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

To learn more on distribution click:

brainly.com/question/14651443

#SPJ4

In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

About Milgram's first study of obedience here:

https://brainly.com/question/30462620

#SPJ11

Answer:

Maybe the figure of this question is a triangle.

If so...the answer comes something like this....

Hope it helps! :)

Answer:

(A) 13/3 / -5/6

Step-by-step explanation:

the answer is 13 over 3 divided by negative 5 over 6

i know this because i just took the quiz. ; )

i hope this helps <3

Answer:

its A

Step-by-step explanation:

I took the quiz

Answer:

Step-by-step explanation:

To determine if an observation is an outlier, we need to compute its z-score and see how far it deviates from the mean in terms of standard deviations.

The formula for z-score is:

z = (x - μ) / σ

where x is the observation, μ is the mean, and σ is the standard deviation.

For option (a), the observation is 150, so the z-score is:

z = (150 - 100) / 10 = 5

For option (b), the observation is 100, so the z-score is:

z = (100 - 100) / 10 = 0

For option (c), the observation is 90, so the z-score is:

z = (90 - 100) / 10 = -1

An observation is considered an outlier if its z-score is greater than 3 or less than -3.

Therefore, the only observation that might be an outlier is option (a) with a z-score of 5. The other two options have z-scores within the range of -3 to 3 and are not considered outliers.

So the answer is (a) 150.

know more about outlier: brainly.com/question/26958242

#SPJ11

Answer:

The distance on the y-axis (not sure if thats how you say it :| ) is 8, and the distance between the x-axis (again not sure thats the correct term) is 6

im not a genius, but I hope this helps :D

(there is a gragh with the points)

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B

The length of the line segment AC and AG will be 6√2 units and 6√3 units, respectively.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

AB = 6

BC = 6

CG = 6

Then the length of diagonal AC is given as,

AC² = AB² + BC²

AC² = 6² + 6²

AC = 6√2

Then the length of diagonal AG is given as,

AG² = AC² + CG²

AG² = (6√2)² + 6²

AG = 6√3

The length of the line segment AC and AG will be 6√2 units and 6√3 units, respectively.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ1

Answer:

d

Step-by-step explanation:

Answer:

I think it's D

Step-by-step explanation:

Sorry if im wrong.

1 foot = 12 inches

56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches

Answer:

4 feet and 8 inches

Step-by-step explanation:

To convert a high number of inches to feet you divide it by 12 since 12 inches makes 1 foot.

So 56÷12 = 4 reminder 8

The remainder we keep it as inches

So our answer is 4 feet and 8 inches.

A statement which best describes the function represented by the graph include the following: B) The function is decreasing on the interval (-∞, ∞).

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.

On the other hand (conversely), if the output value (range or y-value) is increasing when the input value (domain or x-value) is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph above, we can reasonably infer and logically deduce that this function is decreasing over the interval -∞ < x < ∞, from left to right.

In conclusion, the output values (range or y-values) of this function are decreasing from left to right i.e as we move towards the right.

Read more on function here: https://brainly.com/question/3990145

#SPJ1

Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

(a)The levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units. (b)So, it is possible to make a profit of more than $359,400.

(a) To determine the level(s) of production that will yield a profit of $359,400, substitute P=359400 in the equation.6400x−18x^2−400 = 359400Adding 400 to both sides:6400x − 18x² = 359800

Dividing both sides by -2:9x² − 3200x + 179700 = 0

Applying the quadratic formula:

x = (-(-3200) ± √((-3200)² - 4(9)(179700))))/(2(9))

= (3200 ± √(10240000 - 6464400))/18

= (3200 ± √(3785600))/18

= (3200 ± 1946.55)/18x

= 292.36 or 651.64

Thus, the levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units.

(b) To determine if a profit of more than $359,400 can be made, we need to determine the maximum profit by completing the square, and comparing it to $359,400.P=6400x−18x^2−400

Completing the square: P= -18(x - 88.89)² + 710937.2

Maximum profit is $710,937.20, which is more than $359,400.

So, it is possible to make a profit of more than $359,400.

Learn more about quadratic formula here:

https://brainly.com/question/22364785

#SPJ11

Raising q to the power of 6 and then squaring it is the same as raising q to the power of 12. Option C.

The expression \((q^6)^2\) can be simplified using the power of a power property, which states that when you raise an exponentiated quantity to another exponent, you multiply the exponents. Applying this property, we have \((q^6)^2 = q^(6*2) = q^{12.\)

Therefore, the expression \((q^6)^2\) is equivalent to \(q^{12.\)

To understand this, let's break it down step by step:

Start with \(q^6\): This means q raised to the power of 6.

Square \(q^6\): We multiply the exponent 6 by 2, giving us 12.

The result is \(q^{12\): This means q raised to the power of 12.

Hence, \((q^6)^2\) simplifies to \(q^{12.\)

In summary, the expression \((q^6)^2\) is equivalent to \(q^{12\). So Option C is correct.

For more question on squaring visit:

https://brainly.com/question/428672

#SPJ8

Answer:

4/5

Step-by-step explanation:

if log 32 base 4 = x, then 32^x = 4 -> x = 2/5

if log 243 base 9 = y, then 243^y=9 -> y = 2/5

therefore, the answer is 2/5+2/5=4/5

Answer:

20

Step-by-step explanation:

You can find this answer multiple ways.

One way is that each y value increases by 5 so following the pattern of 5, 10, 15 the next one would be 20.

Another way is that the the x value is 3 times the y value so we would just have to divide 60 by 3 to get 20.

Answer: 20

Step-by-step explanation:

y is a result of dividing x by 3

15/3 = 5

30/3 = 10

...

60/3 = 20

Answer:

y = -1x - 4

Step-by-step explanation:

Equation of a line in slope intercept form is

y = mx + b where m = slope and b = y-intercept

Slope is given as -1

So y = -1x + b

Substitute for point x = -8, y = 4
4 = (-1)(-8) + b
4 = 8  + b

Subtract 8 both sides:

4 - 8 = b

b = -4

So equation of line is y = -1x - 4

Based on the equation in the question , the R2 would be 0.934.

To compute R2, we need to use the formula:

R2 = SSR / SST

Given that SSR = 14,141.7 and

SST = 15,128.4,

We can substitute these values into the formula:

R2 = 14,141.7 / 15,128.4

R2 ≈ 0.934

b. To compute Ra2, we need to subtract R2 from 1:

Ra2 = 1 - R2

Substituting the value of R2 we calculated in part a:

Ra2 ≈ 1 - 0.934

Ra2 ≈ 0.066

c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.

In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.

So, the answer is "Yes".

To know more on Regression visit:

https://brainly.com/question/32505018

#SPJ11

Answer:

answer D

Step-by-step explanation:

Answer:

f(x) = |x − 7| − 3

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

parallel describes lines

the answer is C

Step-by-step explanation:

parallel is not a type of angle