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mixas84 [53]
3 years ago
6

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry c

lub wants to spend less than $91 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,
Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0
T= # of rental hours


Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $91.


Reservation + ($ per hr * # hrs) < $91

$19 + $6t < $91
subtract 19 from both sides

6t < 72
divide both sides by 6

t < 12


ANSWER: To spend less than $91, they need to rent the room less than 12 hours.

Hope this helps! :)
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Step-by-step explanation:

value of d = 90° ( as it's a perpendicular)

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f = 180 - 49 = 131°

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Solve for x in the given interval.<br><br> sec x= -2√3/3, for π/2 ≤x≤π
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Step-by-step explanation:

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\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}

\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }

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3 years ago
An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.
Greeley [361]

Answer: 1) 0.6561    2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel.  : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}

=(1)(0.90)^4=0.6561

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0
3 years ago
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