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3 years ago

Six more than 3 times the number is less than or equal to 96

Mathematics

1 answer:

stepan [7]3 years ago

3 0

To answer this question, write an equation to model the situation and solv for x:

6+3x≤96

*Subtract 6 from both sides*

3x≤90

*Divide both sides by 3*

x≤30

The answer is x≤30.

Hope this helps!!

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A calzone is divided into 24 equal pieces. Glenn and Ben each ate one eighth of the calzone on Thursday. The next day, Ben ate

7nadin3 [17]

Answer:

12 pieces

Step-by-step explanation:

Since on Thursday Glenn and Ben each ate an eight, then total they ate 2*1/8=2/8=¼

¼ of 24 pieces is equivalent to

¼*24=6 pieces

The number of pieces that remain would be 24-6=18 pieces

The one third of leftover ate rhe next day will be equivalent to

⅓ of 18

⅓*18=6 pieces

Remaining pieces next day will be 18-6=12 pieces

Therefore, only 12 pieces out of 24 original pieces remain the following day.

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3 years ago

Graph the function h(x) = -2x– 3.

Pani-rosa [81]

Answer:

look below

Step-by-step explanation:

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3 years ago

Read 2 more answers

The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

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3 years ago

What is the domain of h?

sergeinik [125]

Answer:

Step-by-step explanation:

The domain is all the x numbers for each point
So -5,-4,0,2,4

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2 years ago

How many centimeters are there in 1.23 x 10 to the negative 6th power

pashok25 [27]

I think the answer is 0.123 cm

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3 years ago