I don't now how to set it up

Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. F(C) returns the temperature

KiRa [710]

Answer: The freezing temperature of water in degrees Fahrenheit is 32.

Step-by-step explanation:

Hi, to answer this question we have to replace the value of the variable "C" in the formula F(C), by the value given in Celsius that water freezes.

Mathematically speaking:

F(C) = 32 +1.8 C

F (0) = 32 +1.8 (0)

Solving for F (Fahrenheit), since any number multiplied by zero equals zero:

F = 32

The freezing temperature of water in degrees Fahrenheit is 32.

7 0

4 years ago

which of the following expresses the possible number of positive real solutions for the polynomial equation shown below

Nookie1986 [14]

The polynomial equation x³ - 4x² - 7x + 28 = 0, has solutions -√7, √7, and 4, among which √7 and 4 are positive real solutions. Hence we have two positive real solutions. Hence, option D is the right choice.

In the question, we are asked for the number of positive real solutions for the polynomial equation, x³ - 4x² - 7x + 28 = 0.

To find the solutions, we do as follows:

x³ - 4x² - 7x + 28 = 0,

or, (x³ - 7x) - (4x² + 28) = 0 {Grouping},

or, x(x² - 7) - 4(x² - 7) = 0 {Taking common},

or, (x - 4)(x² - 7) = 0 {Grouping},

or, (x - 4)(x + √7)(x - √7) = 0 {Using the formula: $a^2 - b^2 = (a+b)(a-b)$ }.

By the zero-product rule, the solutions are:

x - 4 = 0, or, x = 4,

x + √7 = 0, or, x = -√7,

x - √7 = 0, or, x = √7.

Thus, the positive real solutions are 4, and √7. Hence, there are two positive real solutions.

Thus, the polynomial equation x³ - 4x² - 7x + 28 = 0, has solutions -√7, √7, and 4, among which √7 and 4 are positive real solutions. Hence we have two positive real solutions. Hence, option D is the right choice.

Learn more about polynomials at

brainly.com/question/1550365

#SPJ4

The complete question is:

"Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

x³-4x²-7x+28=0

a. two or zero

b. three or one

c. one

d. two"

5 0

2 years ago

Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis,Missouri

Marat540 [252]

Answer:

The value is $\sigma = 8.5$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 9.7$

The proportion is $P(X >x) = 0.2245$

The value considered is $x = 11.6$

Generally given that the speed measurement is normally distributed we have that

$P(X > 11.6) = P(\frac{ X - \mu }{ \sigma } > \frac{11.6 - 9.7}{ \sigma } ) = 0.2245$

Generally

$\frac{X - \mu}{ \sigma } = Z(The \ z -score \ of \ X )$

$P(X > 11.6) = P(Z> \frac{11.6 - 9.7}{ \sigma } ) = 0.2245$

Hence

$\frac{ 11.6 - 9.7}{ \sigma} = 0.2245$

$\sigma = 8.5$

6 0

3 years ago

In a certain small town, 3 professional burglars are currently out of prison: Alex, Becky, and Carl. Alex has in the past commit

NeX [460]

Answer:

Answer explained below

Step-by-step explanation:

Alex has in the past committed 55% of the burglaries committed by the three, Becky 31%, and Carl the rest, hence

probability, P(Carl doing a burglary) = 1 - P(Alex or Becky doing a burglary)

= 1 - (0.55 + 0.31)

= 0.14

a) P(next burglary in town is the burglary of a residence) = P(Alex did a burglary of a residence) + P(Becky did a burglary of a residence) + P(Carl did a burglary of residence

= 0.55*1/3 + 0.31*0.5 + 0.14*1

= 0.4783

b)From Bayes' Theorem: P(A | B) = P(A & B) / P(B)

Hence,

P(Becky | a resident reports a home burglary) = P(Becky did a burglary of a residence) / P(burglary of a residence)

= (0.31 * 0.5)/0.4783

= 0.3240

3 0

3 years ago

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree? Explain. 460,470,480, 490,500,510

laila [671]

Answer:

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

Step-by-step explanation:

It is important to know the concepts of units, tenths and cents.

For example

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

So

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

In this problem, we have that:

460,470,480, 490,500,510

Each number is 10 added to the previous, that is, the tens digit going up by 1.

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree?

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

7 0

3 years ago