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The solutions to the equation −2x2+3x+7=0 are real, rational numbers. A True or flase

ExtremeBDS [4]

Answer:

True

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, . T

Vinil7 [7]

Answer:

The appropriate answer is "144".

Step-by-step explanation:

Given:

Population standard deviation,

$\sigma=10.4$

Margin of error,

$E=1.7$

$CL=95$ %

$CL=1-\alpha$

Or,

$\alpha=1-CL$

$=1-0.95$

$=0.05$

Now,

Critical value,

= $Z_{\frac{\alpha}{2} }$

= $Z_{\frac{0.05}{2} }$

= $1.96$

The minimum sample size will be:

⇒ $n=\frac{Z^2_{\frac{\alpha}{2} }(\sigma)^2}{E^2}$

By putting the values, we get

$=\frac{(1.96)^2(10.4)^2}{(1.7)^2}$

$=\frac{415.5074}{2.89}$

$=143.774$

or,

$=144$

3 0

3 years ago

To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1010 married

Xelga [282]

Answer:

a. See the table below

b. See the table below

c. 0.548

d. 0.576

e. 0.534

f) i) 0.201, ii) 0.208

Explanation:

First, order the information provided:

Table: "Who is better at getting deals?"

Who Is Better?

Respondent I Am My Spouse We Are Equal

Husband 278 127 102

Wife 290 111 102

a. Develop a joint probability table and use it to answer the following questions. 

The joint probability table shows the same information but as proportions. Hence, you must divide each number of the table by the total number of people in the set of responses.

1. Number of responses: 278 + 127 + 102 + 290 + 111 + 102 = 1,010.

2. Calculate each proportion:

278/1,010 = 0.275
127/1,010 = 0.126
102/1,010 = 0.101
290/1,010 = 0.287
111/1,010 = 0.110
102/1,010 = 0.101

3. Construct the table with those numbers:

Joint probability table:

Respondent I Am My Spouse We Are Equal

Husband 0.275 0.126 0.101

Wife 0.287 0.110 0.101

Look what that table means: it tells that the joint probability of being a husband and responding "I am" is 0.275. And so for every cell: every cell shows the joint probability of a particular gender with a particular response.

Hence, that is why that is the joint probability table.

b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.

The marginal probabilities are calculated for each for each row and each column of the table. They are shown at the margins, that is why they are called marginal probabilities.

For the colum "I am" it is: 0.275 + 0.287 = 0.562

Do the same for the other two colums.

For the row "Husband" it is 0.275 + 0.126 + 0.101 = 0.502. Do the same for the row "Wife".

Table Marginal probabilities:

Respondent I Am My Spouse We Are Equal Total

Husband 0.275 0.126 0.101 0.502

Wife 0.287 0.110 0.101 0.498

Total 0.562 0.236 0.202 1.000

Note that when you add the marginal probabilities of the each total, either for the colums or for the rows, you get 1. Which is always true for the marginal probabilities.

c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? 

For this you use conditional probability.

You want to determine the probability of the response be " I am" given that the respondent is a "Husband".

Using conditional probability:

P ( "I am" / "Husband") = P ("I am" ∩ "Husband) / P("Husband")

P ("I am" ∩ "Husband) = 0.275 (from the intersection of the column "I am" and the row "Husband)

P("Husband") = 0.502 (from the total of the row "Husband")

P ("I am" ∩ "Husband) / P("Husband") = 0.275 / 0.502 = 0.548

d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?

You want to determine the probability of the response being "I am" given that the respondent is a "Wife", for which you use again the formula for conditional probability:

P ("I am" / "Wife") = P ("I am" ∩ "Wife") / P ("Wife")

P ("I am" / "Wife") = 0.287 / 0.498

P ("I am" / "Wife") = 0.576

e. Given a response "My spouse," is better at getting deals, what is the probability that the response came from a husband?

You want to determine: P ("Husband" / "My spouse")

Using the formula of conditional probability:

P("Husband" / "My spouse") = P("Husband" ∩ "My spouse")/P("My spouse")

P("Husband" / "My spouse") = 0.126/0.236

P("Husband" / "My spouse") = 0.534

f. Given a response "We are equal" what is the probability that the response came from a husband? What is the probability that the response came from a wife?

What is the probability that the response came from a husband?

P("Husband" / "We are equal") = P("Husband" ∩ "We are equal" / P ("We are equal")

P("Husband" / "We are equal") = 0.101 / 0.502 = 0.201

What is the probability that the response came from a wife:

P("Wife") / "We are equal") = P("Wife" ∩ "We are equal") / P("We are equal")

P("Wife") / "We are equal") = 0.101 / 0.498 = 0.208

6 0

4 years ago

A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be

alexdok [17]

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

$\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)$

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

$\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}$

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

$\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}$

Combining the above values gives the modelling equation as follows;

$\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)$

Learn more here:

brainly.com/question/12904891

3 0

2 years ago

Which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?

Nata [24]

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

7 0

3 years ago