Which of the following are feasible equations of a least squares regression line for number of dollars left in an endowment providing college scholarships in each of its first ten years if it was entirely funded by a single donation?
a. y ˆ =269,000+8300x
b. y ˆ =69,000−8300x
c. y ˆ =−269,000−8300x
d. y ˆ =269,000−8300x
e. y ˆ =0−8300x

Answers

Answer 1

Answer:

d. y ˆ =269,000−8300x

Step-by-step explanation:

If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.

Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.

For equation b., when x = 10:

[tex]y=69,000-8,300*10\\y=-14,000[/tex]

For equation d., when x = 10:

[tex]y=269,000-8,300*10\\y=186,000[/tex]

Therefore, the only possible answer is d. y ˆ =269,000−8300x


Related Questions

Which expression is equivalent to [tex]4^7*4^{-5}[/tex]? A. [tex]4^{12}[/tex] B. [tex]4^2[/tex] C. [tex]4^{-2}[/tex] D. [tex]4^{-35}[/tex]

Answers

Answer:

B. [tex]4^2[/tex]

Step-by-step explanation:

[tex]4^7 \times 4^{-5}[/tex]

Apply rule (if bases are same) : [tex]a^b \times a^c = a^{b + c}[/tex]

[tex]4^{7 + -5}[/tex]

Add exponents.

[tex]=4^2[/tex]

Answer:

[tex] {4}^{2} [/tex]

Step by step explanation

[tex] {4}^{7} \times {4}^{ - 5} [/tex]

Use product law of indices

i.e

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

( powers are added in multiplication of same base)

[tex] = {4}^{7 + ( - 5)} [/tex]

[tex] = {4}^{7 - 5} [/tex]

[tex] = {4}^{2} [/tex]

Hope this helps...

Best regards!

Mexican currency is the peso. One Mexican peso is currently equal to 0.055 U.S. dollars. If a traveler exchanges $400 for Mexican pesos, how many pesos will he receive? Round to the nearest peso.

Answers

Answer:

7,273 Pesos

Step-by-step explanation:

1 Peso = $0.055

The formula below converts pesos to dollars:

1 Peso x 0.055 = $1

The formula below converts dollars to pesos:

$1/0.055= 1 Pesos

We use the second formula because we are coverting

from dollars to pesos.

$400/0.055=7,273 Pesos

Answer:

22

Step-by-step explanation:

If one Mexican peso is .055 U.S dollars that means it has a greater value than the dollar so we can make the following ratio 1:.055. But if the .055 is a 400 1:400 we just multiply to get 22.

You spend $3.50 on fruit. Apples cost $0.20 each while oranges cost $0.30 each. The equation models the situation, where x is the number of apples and y is the number of oranges. Which of the following is not a possible solution in the context of the problem?

a. 1 apple; 11 oranges
b. 11 apples; 1 orange
c. 7 apples; 7 oranges
d. 4 apples; 9 oranges

Answers

Answer:

b. 11 apples; 1 orange

Step-by-step explanation:

We test each option, and see if the total is $3.50(what you spend). If the result is different, it is not a possible solution.

a. 1 apple; 11 oranges

1 apple for $0.20

11 oranges for $0.30 each

0.20 + 11*0.30 = $3.50

Possible solution

b. 11 apples; 1 orange

11 apples for $0.20 each

1 orange for $0.30

11*0.2 + 0.3 = 2.5

Not $3.5, so this is not a possible solution.

This is the answer

c. 7 apples; 7 oranges

7*0.2 + 7*0.3 = $3.5

Possible

d. 4 apples; 9 oranges

4*0.2 + 9*0.3 = $3.5

Possible

The mean arrival rate of flights at Philadelphia International Airport is 195 flights or less per hour with a historical standard deviation of 13 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days, the arrival rate per day is given in the data vector below called flights. Air traffic control manager wants to test if there is sufficient evidence that arrival rate has increased.
flights <- c(210, 215, 200, 189, 200, 213, 202, 181, 197, 199,
193, 209, 215, 192, 179, 196, 225, 199, 196, 210,
199, 188, 174, 176, 202, 195, 195, 208, 222, 221)
a) Find sample mean and sample standard deviation of arrival rate using R functions mean() and sd().
b) Is this a left-tailed, right-tailed or two-tailed test? Formulate the null and alternative hypothesis.
c) What is the statistical decision at the significance level α = .01?

Answers

Answer:

a) The sample mean is M=200.

The sample standard deviation is s=13.19.

b) Right-tailed. The null and alternative hypothesis are:

[tex]H_0: \mu=195\\\\H_a:\mu> 195[/tex]

c) At a significance level of 0.01, there is  notenough evidence to support the claim that the arrival rate is significantly higher than 195.

Step-by-step explanation:

We start by calculating the sample and standard deviation.

The sample size is n=30.

The sample mean is M=200.

The sample standard deviation is s=13.19.

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{30}(210+215+200+. . .+221)\\\\\\M=\dfrac{6000}{30}\\\\\\M=200\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{29}((210-200)^2+(215-200)^2+(200-200)^2+. . . +(221-200)^2)}\\\\\\s=\sqrt{\dfrac{5048}{29}}\\\\\\s=\sqrt{174.07}=13.19\\\\\\[/tex]

This is a hypothesis test for the population mean.

The claim is that the arrival rate is significantly higher than 195.  As we are interested in only the higher tail for a significant effect, this is a right-tailed test.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=195\\\\H_a:\mu> 195[/tex]

The significance level is 0.01.

The standard deviation of the population is known and has a value of σ=13.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{13}{\sqrt{30}}=2.373[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{200-195}{2.373}=\dfrac{5}{2.373}=2.107[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.107)=0.018[/tex]

As the P-value (0.018) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is  notenough evidence to support the claim that the arrival rate is significantly higher than 195.

Find the slope of the line shown

Answers

Answer:

4/3

Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

We need two points ( 5,1) and ( 8,5)

m = ( 5-1)/(8-5)

    = 4/3

Based on data from the Greater New York Blood Program, when blood donors are randomly selected the probability of the having Group O blood is 0.45. Knowing that information, find the probability that AT LEAST ONE of the 5 donors has Group O blood type.

Answers

Answer:

The probability that at least one of the 5 donors has Group O blood type is 0.9497.

Step-by-step explanation:

We can model this as a binomial random variable, with n=5 (the sample size) and p=0.45.

The probability that exactly k donors have Group O blood type in the sample can be written as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{5}{k} 0.45^{k} 0.55^{5-k}\\\\\\[/tex]

We have to calculate the probability P(x≥1). In this case it easy to substract from 1 the probabitity that x is exactly 0:

[tex]P(X\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{5}{0} p^{0}(1-p)^{5}=0.55^5=0.0503\\\\\\P(x\geq1)=1-0.0503=0.9497[/tex]

A cube with 40-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers to the nearest whole number. Use 9.8 m/s^2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m^3.)

Answers

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

evaluate the algebraic expression for the given values 6+5(x-6)³ for X=8

Answers

1086

6+5(x-6)^3
6+5(8-2)^3
6+5(6)^3
6+5(216)
6+1080
=1086

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes. What is the probability density function for the length of time to complete the exam?

Answers

Answer:

[tex]X \sim Unif (a=40, b=60)[/tex]

And for this case we want to find the probability density function and we know that is given by:

[tex] f(x) =\frac{1}{b-a}=\frac{1}{60-40}= \frac{1}{20}, 40\leq X\leq 60[/tex]

Step-by-step explanation:

Let X the random variable who represent the length of time it takes students to complete a statistics examination. And the distribution for x is given by:

[tex]X \sim Unif (a=40, b=60)[/tex]

And for this case we want to find the probability density function and we know that is given by:

[tex] f(x) =\frac{1}{b-a}=\frac{1}{60-40}= \frac{1}{20}, 40\leq X\leq 60[/tex]

My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?

Pls try to help within 10-20 min I really need it!!!!!!

Answers

Answer: 20 hours

=======================================================

Explanation:

We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.

Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.

The combined rate is 1/4 for similar reasoning

Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.

The equation to solve is

1/5 + 1/x = 1/4

Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4

To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x

20x(1/5 + 1/x) = 20x(1/4)

20x(1/5) + 20x(1/x) = 20x(1/4)

4x + 20 = 5x

From here you can probably see solving this is relatively easy

4x+20 = 5x

20 = 5x-4x

20 = x

x = 20

Therefore, it will take 20 hours for worker B to get the job done on its own.

Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.

----------------

Side note: downloading a movie really depends on internet speed rather than processor speed.

3/7 of which is 2 1/14

Answers

Answer:

Let the number be x

The statement is written as

[tex] \frac{3}{7}x = \frac{29}{14} [/tex]

Multiply through by 14

That's

[tex] 14 \times \frac{3}{7} x = \frac{29}{14} \times 14[/tex]

We get

2 × 3x = 29

6x = 29

Divide both sides by 6

That's

[tex] \frac{6x}{6} = \frac{29}{6} [/tex]

[tex]x \: = \frac{29}{6} \: \: or \\ 4 \frac{5}{6} [/tex]

Hope this helps you

HELP!! Im not sure what i did wrong!!

Answers

I'm not sure what exactly you did wrong, but I agree with you that the sample size is too small, so the correct answer will probably be the fourth options. Hope that this gives you some confidence, and 'm sorry not to be able to help you any further...

Rectangle LMNO has vertices L(–4,6), M(–1,6), N(–1,2), and O(–4,2). Suppose you first reflect this rectangle across the y-axis. Then, translate it down four units and to the left one unit. Where are the corresponding vertices L′M′N′O′ located?

Answers

Answer:

L'(3, 2)

M'(0, 2)

N'(0, -2)

O'(3, -2)

Step-by-step explanation:

Vertices of a rectangle LMNO are L(-4, 6), M(-1, 6), N(-1, 2) and O(-4, 2).

If a point (x, y) is reflected across y-axis, rule to be followed,

(x, y) → (-x, y)

After reflection across y-axis new ordered pairs will be,

L(-4, 6)   → L"(4, 6)

M(-1, 6)   → M"(1, 6)

N(-1, 2)   → N"(1, 2)

O(-4, 2)  → O"(4, 2)

Then these points were translated 4 units down and 1 unit left,

Rule to be followed for the translation will be,

(x'', y'') → [(x' - 1), (y' - 4)]

By this rule vertices of the rectangle after translation will be,

L''(4, 6) → L'(3, 2)

M''(1, 6) → M'(0, 2)

N''(1, 2) → N'(0, -2)

O''(4, 2) → O'(3, -2)

Answer:

L'(3, 2)

M'(0, 2)

N'(0, -2)

O'(3, -2)

Step-by-step explanation:

Which function models the geometric sequence in the table?

Answers

Hope you understand :)

Please help me
And explain

Answers

Answer: 144

Step-by-step explanation:

ABD plus DBC makes up ABC so when you add the two it will give you a whole (76+68).

The tens digit in a two digit number is 4 greater than one’s digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum of 88. Find this number

Answers

Answer:

The original digit is 62

Step-by-step explanation:

Let the Tens be represented with T

Let the Units be represented with U

Given:

Unknown Two digit number

Required:

Determine the number

Since, it's a two digit number, then the number can be represented as;

[tex]T * 10 + U[/tex]

From the first sentence, we have that;

[tex]T = 4 + U[/tex]

[tex]T = 4+U[/tex]

Interchanging the digit, we have the new digit to be [tex]U * 10 + T[/tex]

So;

[tex](U * 10 + T) + (T * 10+ U) = 88[/tex]

[tex]10U + T + 10T + U= 88[/tex]

Collect Like Terms

[tex]10U + U + T + 10T = 88[/tex]

[tex]11U + 11T = 88[/tex]

Divide through by 11

[tex]U + T = 8[/tex]

Recall that [tex]T = 4+U[/tex]

[tex]U + T = 8[/tex] becomes

[tex]U + 4 + U = 8[/tex]

Collect like terms

[tex]U + U = 8 - 4[/tex]

[tex]2U = 4[/tex]

Divide both sides by 2

[tex]U = 2[/tex]

Substitute 2 for U in [tex]T = 4+U[/tex]

[tex]T = 4 + 2[/tex]

[tex]T = 6[/tex]

Recall that the original digit is [tex]T * 10 + U[/tex]

Substitute 6 for T and 2 for U

[tex]T * 10 + U[/tex]

[tex]6 * 10 + 2[/tex]

[tex]60 + 2[/tex]

[tex]62[/tex]

Hence, the original digit is 62

The number of job applications submitted before landing an interview are normally distributed with a population standard deviation of 4 applications and an unknown population mean. A random sample of 19 job seekers is taken and results in a sample mean of 55 applications. The confidence intervalis (52.87.57.14). What is the margin of error? Round to two decimal places.

Answers

Answer:

The margin of error  = 2.13

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =19

mean of the sample(x⁻) = 55 applicants

Given standard deviation of the Population(S.D)  = 4

Given confidence intervals are

((52.87.57.14)

we know that The Margin of error is determined by

[tex]M.E = Z_{\alpha } \frac{S.D}{\sqrt{n} }[/tex]

The confidence intervals are determined by

(x⁻ - M.E , x⁻+ M.E)

Step(ii):-

Given confidence intervals are

((52.87.57.14)

Now equating

(x⁻ - M.E , x⁻+ M.E) = ((52.87  , 57.14)

Given mean of the sample x⁻ = 55

( 55 - M.E , 55 + M.E) =((52.87.57.14)

   Equating

                55 - M.E = 52.87

                M.E = 55 - 52.87

                M.E = 2.13

Final answer:-

The margin of error  = 2.13

what value of x is in the solution set of 2(3x–1)>4x–6?

Answers

Answer:

x > -2

Step-by-step explanation:

2(3x–1)>4x–6

Divide each side by 2

2/2(3x–1)>4x/2–6/2

3x-1 > 2x-3

Subtract 2x from each side

3x-2x-1 > 2x-3-2x

x-1 > -3

Add 1 to each side

x-1+1 > -3+1

x > -2

If a computer depreciates at a rate of 18% per year, what is the monthly depreciation rate? A.6.83% B.1.50% C.5.33% D.8.21%

Answers

Answer:

b 150

Step-by-step explanation:

1- if angle A = 30, then its complementary is -- and its supplementary is
2- If a triangle has an area of 360, and its base = 10, what is its height?
3- if two triangles have the same angle measures, then the triangles are
4. What is the definition of similar triangles?
5- One of triangle congruence tests is SSS, what are 3 other congruent tests
6- What is a regular polygon?
7- If a rectangle has an area of 240 and a length of 24, what is the width?
8- Colinear points lie on the same
9- 3 non-colinear points determine a
10- The sum of 2 supplementary angles add up to -------​

Answers

1 - complementary =  90- 30 = 60

    suplementary = 180- 30 = 150

2 - area = hb/2 = 360 = hb/2 =  h = 72

3 - similar

4- see number 3

5 - asa, ssa, sas

6 - polygon that had all equal angle measures and sides (equiangular and equilateral)

7 - length x width = area so

   240 / 24 = 10

8 - line

9 - triangle

10 - 180, as see in question 1

vote me brainliest ):>

Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person exercises per week. They divide a sample of 72 people into 3 groups based on how many hours they exercise per week. Group 1 exercises less than 2 hours per week, Group 2 exercises between 2 and 5 hours per week, and Group 3 exercises more than 5 hours per week. Researchers measure and record the systolic blood pressure for each participant. They choose α = 0.05 level to test their results. For your convenience, I have prepared an excel file with the data titled: data_homework10_BP groups. Use this data to run a One-way Anova.

1. What is the between groups degrees of freedom for this study?

a. 2
b. 3
c. 72
d. 69

2. This finding is statistically significant.

a. True
b. False

3. Based on this information, the researcher should make the decision to ___________.

a. reject the null hypothesis
b. fail to reject the null hypothesis

Answers

Answer:

(1) The between groups degrees of freedom is 2.

(2) TRUE.

(3) The correct option is (a).

Step-by-step explanation:

(1)

The between groups degrees of freedom for the study is:

[tex]\text{df}_{B}=k-1\\=3-1\\=2[/tex]

Thus, the between groups degrees of freedom is 2.

(2)

The hypothesis for he one-way ANOVA is:

H₀: All the means are equal.

Hₐ: At least one of the mean is not equal.

The output of the ANOVA test is attached below.

The p-value of the test is 0.00005.

p-value = 0.00005 < α = 0.05

Thus, the result is statistically significant.

The statement is TRUE.

(3)

As the p-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.

The correct option is (a).

Mom can make 10 brownies from a 12-ounce package. How many ounces of brownie mix would be needed to make 50 brownies?

Answers

Answer:

60 ounces

Step-by-step explanation:

İf she can make 10 brownies with 12 ounce mix then

For 50 she would need 5 × 12 = 60 ounces

Answer:

60 oz

Step-by-step explanation:

because 12 times 5 is 60    and 10 time 5 = 50 that's why you times 5 with 12    and because 12 oz makes 10 brownies and if you want to make 50 brownies just times 12 by 5

Someone please answer this emergency pleaseee

Answers

Answer:

7). y = 140

8). x = 9

Step-by-step explanation:

Question (7).

All-right pencil factory will produce the graphite pencils, table formed will represent a linear graph.

Three points on the graph are (12, 42) and (18, 63), (40, y)

Slope of the line passing through these points = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{63-42}{18-12}[/tex] = [tex]\frac{y-42}{40-12}[/tex]

[tex]\frac{21}{6}[/tex] = [tex]\frac{y-42}{40-12}[/tex]

3.5 = [tex]\frac{y-42}{40-12}[/tex]

98 = y - 42

y = 140

Question (8),

If a bicyclist rides at a constant rate, table formed will represent a linear graph.

Slope of a line passing through three points (2, 25), (5, 62.5) and (x, 112.5) given in the table,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{62.5-25}{5-2}=\frac{112.5-62.5}{x-5}[/tex]

[tex]\frac{37.5}{3}=\frac{50}{x-5}[/tex]

37.5x - 187.5 = 150

37.5x = 337.5

x = 9

solve the inequality:8x+3>2x-15​

Answers

8x + 3 > 2x - 15

8x - 2x > -15 - 3

6x > -18

x > -3

Answer:

x > -3

Step-by-step explanation:

8x + 3 > 2x - 15​

Add -3 and -2x on both sides.

8x - 2x > -15 - 3

6x > -18

Divide 6 into both sides.

x > -18/6

x > -3

Simplify 4 + (−3 − 8)

Answers

Answer:

-7

Step-by-step explanation:

4 + (−3 − 8)

PEMDAS

Parentheses first

4 + (-11)

Add and subtract next

-7

Answer:

first I'm using BODMAS

4+(-11)

= -7

hope it helps

Find the domain of the function f(x) = 7x2 + 8x - 15.

Answers

Answer:

Domain is all real numbers or (negative infinity, positive infinity)

Step-by-step explanation:

Domain is all values of x (inputs) that will work with the function. Since a parabola has no limits for x, and all numbers work for x, then the domain can be any number. That leaves us with All Real Numbers as our answer.

CAN SOMEONE PLEASE HELP ME THIS IS DUE SOON!!

Answers

Answer:

95 ft²

Step-by-step explanation:

Given:

regular pyramid with,

Square base of side length (s) = 5 ft

Slant height (l) = 7 ft

Required:

Surface area

Solution:

Surface area of a regular pyramid = ½*P*l + B

Where,

P = perimeter of the square base = 4(s) = 4(5) = 20 ft

l = slant height = 7 ft

B = area of base = s² = 5² = 25 ft²

Surface area = ½*20*7 + 25

= 10*7 + 25

= 70 + 25

Surface area of regular pyramid = 95 ft²

Raining Company analyzes its receivables to estimate bad debt expense. The accounts receivable balance is $200,000 and credit sales are $1,300,000. An aging of accounts receivable shows that approximately 10% of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,500 before adjustment?

Answers

Answer:

Raining Company and Tanning Company

An Uncollectible Expense of $17,500 will be credited to the Allowance for Doubtful Accounts to bring the credit balance to $20,000.

Step-by-step explanation:

Since the accounts receivable balance is $200,000, there is nothing to do with the credit sales of $1,300,000.

The Allowance for Doubtful Accounts after adjustment should have a credit balance of $20,000 ($200,000 x 10%).

With a credit balance of $2,500 before adjustment, it will be adjusted (credited) with Uncollectible Expense of $17,500.  This brings the adjusted balance to $20,000 which represents 10% of the accounts receivable balance of $200,000.

Note that the Allowance for Doubtful Accounts is a contra (credit) account to the Accounts Receivable account.  This allowance is a way to prudently provide for credit risk as required by Generally Accepted Accounting Principles.

How many x-intercepts does the graph of y = 2x2 + 4x - 3 have?

Answers

Answer:

3

Step-by-step explanation:

Given  

y

=

2

x

2

4

x

+

3

The y-intercept is the value of  

y

when  

x

=

0

XXX

y

=

2

(

0

)

2

4

(

0

)

+

3

=

3

For a quadratic in the general form:

XXX

y

=

a

x

2

+

b

x

+

c

the determinant  

Δ

=

b

2

4

a

c

indicates the number of zeros.

Δ

<

0

==⇒  

no solutions

=

0

==⇒  

one solution

>

0

==⇒  

two solutions

In this case

XXX

Δ

=

(

4

)

2

4

(

2

)

(

3

)

<

0

so there are no solutions (i.e. no values for which the expression is equal to zero).

This can also be seen from a graph of this equation:

graph{2x^2-4x+3 [-6.66, 13.34, -0.64, 9.36]}

Answer link

Vinícius Ferraz

Nov 13, 2015

(

0

,

3

)

Explanation:

x

=

0

y

=

0

0

+

3

y

=

0

x

=

b

±

b

2

4

a

c

2

a

a

=

2

,

b

=

4

,

c

=

3

But  

Δ

< 0, then there is no real root  

(

x

0

,

0

)

.

Answer:

it has 2

Step-by-step explanation:

I hope this helps!

1. For some constant c, the random variable X has probability density function

cx", 0
0, otherwise.

What is the value of c?

a) 1/n;

b) na ;

c)n + 1;

d) n;

e) n–1.

Answers

Answer:

Answer is (D) n

Step-by-step explanation:

Probability density function defines the likelihood of an outcome for a discrete random variable or a continuous random variable whose integral gives the probability that the value of the variable lies in the same interval.

The constant here is C

CX" implies CX prime prime (meaning that X has been differentiated twice).

The value of C is n, which is the number of values of X.

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