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3 years ago

Math Help!!!!!!!

Mathematics

1 answer:

White raven [17]3 years ago

8 0

<h2><u>Answers and Explanation</u></h2>

<u>(a) Betty’s expression:</u>

Cost of guest = 10 × x + 10 × x + 10 × x

= 10x + 10x + 10x

cost of the venue = 80

Total cost =<em> 10x + 10x + 10x + 80</em>

<u>(b) Dawnie’s expression:</u>

Cost of the location = $80

Number of guests = x + x + x

Cost of all guests = $10(x + x + x)

Total cost = <em> 10(x + x + x) + 80</em>

<u>(c) Joan’s expression:</u>

Cost of the location = 80

Cost of guest = 10 × x + 10 × x + 10 × x

= 10x + 10x + 10x

= x(10 + 10 + 10) ⇒ After factoring out x.

Total cost =<em> x(10 + 10 + 10) + 80</em>

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A school needs 175 light bulbs.Bulbs come in packages of 15.How many packages should the school order?

kkurt [141]

Answer: 12 packages

Step-by-step explanation:

<em>Take 175 and divide it by 15</em>

<em>Since you are unable to order 11.6 packages you will need to order </em><em>12</em><em> packages to have enough lightbulbs.</em>

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3 years ago

Read 2 more answers

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi

kondaur [170]

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

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3 years ago

Give a rule of the piecewise-defined function.

nataly862011 [7]

The equation of the piecewise function is $f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The piecewise function</h3>

On the graph, we have:

y = 3 for all x values not more than -1
y = -1 for all values greater than 2

Hence, the piecewise function is:

$f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

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2 years ago

Can any one help me solve this ?

Neko [114]

The answer to your question is 12b^2
Because 3-12 is -9 pal :)

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3 years ago

If there is a class of 30 students and 6 of them are off, what fraction of students are there and what percentage of students ar

elena-s [515]

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3 years ago