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kramer
3 years ago
12

Convert 59°F to Celsius, using the formula C = 5/9 (F - 32)

Mathematics
2 answers:
mr_godi [17]3 years ago
6 0
<h2>15°C</h2>

C = 5/9 (F - 32)

Substitute for 59.

C = 5/9 (59 - 32)

C = 5/9 (27)

Multiply.

C = 5/9 (27)

C=15

<h2>15°C</h2>
nadya68 [22]3 years ago
3 0

Answer: C=15\°C

Step-by-step explanation:

To solve this exercise you only need to susbstitute the value of the temperature in Fahrenheit into the formula given in the problem.

Therefore, keeping the above on mind, you obtain that 59°F to Celsius is:

C=\frac{5}{9}(F-32)

Substituting F=59 into the formula you have that:

C=\frac{5}{9}(59-32)

C=15\°C

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kramer
\frac{7}{42}\ of\ 42\ is\ equal\ 7\\\\check:\frac{7}{42}\cdot42=\frac{7}{42}\cdot\frac{42}{1}=\frac{7}{1}=7
3 0
3 years ago
work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
Yuki888 [10]

Answer:

(a) S = {MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC}

(b) The probability that Roberto and John attend the​ conference is 0.10.

(c) The probability that Clarice attends the​ conference is 0.40.

(d) The probability that John stays​ home is 0.60.

Step-by-step explanation:

It is provided that :

Marco (<em>M</em>), Roberto (<em>R</em>), John (<em>J</em>), Dominique (<em>D</em>) and Clarice (<em>C</em>) works for the company.

The company selects two employees randomly to attend a statistics conference.

(a)

There are 5 employees from which the company has to select two employees to send to the conference.

So the total number of ways to select two employees is:

{5\choose 2}=\frac{5!}{2!(5-2)!}=\frac{5\times 4\times 3!}{2\times 3!}=10

The 10 possible samples are:

MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC

(b)

The probability of the event <em>E</em> is:

P(E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = Total number of outcomes.

The variable representing the selection of  Roberto and John is, <em>RJ</em>.

The favorable number of outcomes to select Roberto and John is, 1.

The total number of outcomes to select 2 employees is 10.

Compute the probability that Roberto and John attend the​ conference as follows:

P(RJ)=\frac{n(RJ)}{N}=\frac{1}{10}=0.10

Thus, the probability that Roberto and John attend the​ conference is 0.10.

(c)

The favorable outcomes of the event where Clarice attends the conference are:

n (C) = {MC, RC, JC and DC} = 4

Compute the probability that Clarice attends the​ conference as follows:

P(C)=\frac{n(C)}{N}=\frac{4}{10}=0.40

Thus, the probability that Clarice attends the​ conference is 0.40.

(d)

The favorable outcomes of the event where John does not attends the conference are:

n (J') = MR, MD, MC, RD, RC, DC

Compute the probability that John stays​ home as follows:

P(J')=\frac{n(J')}{N}=\frac{6}{10}=0.60

Thus, the probability that John stays​ home is 0.60.

4 0
3 years ago
Can someone explain this? and what are the answers- :'_
Sunny_sXe [5.5K]

Answer:

1) b=-1.6 2) g=3 3) x=0.8 4) w=4.9 5) p=-16.2 6) y=9.2

Step-by-step explanation:

Use inverese operations to isolate variables ex. x+4=2

x times 2 = 6                                                            -4

/2                                                                               x=-2

x=3                                                                        

                                                                               

4 0
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Furkat [3]

Answer:

Width of the rectangle is: \mathbf{Width= 9x^6 y^4}

Option C is correct.

Step-by-step explanation:

Area of rectangle = 54x^9y^8

Length of rectangle = 6x ^ 3y^4

We need to find width of rectangle.

The formula used is:

Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}

Putting values in the formula to find Width of rectangle

Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}

Using the exponent rule: \frac{a^m}{a^n}=a^{m-n}

and simplifying the terms we get

Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}

So, Width of the rectangle is: \mathbf{Width= 9x^6 y^4}

Option C is correct.

6 0
2 years ago
If tan theta =12/5 and cos theta &lt; 0, what is sin theta ?
xenn [34]

If tan theta =12/5 and cos theta < 0, then sin theta is -12/13. The correct answer between all the choices given is the last choice or letter E. I am hoping that this answer has satisfied your query about and it will be able to help you.

8 0
3 years ago
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