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dusya [7]
2 years ago
12

Marco solves the equation 4sin(3x) + 0.25 ≤ 2sin(3x) − 0.3 by graphing y = 2sin(3x) and y = −0.55. he then locates the intervals

on which 2sin(3x) is less than or equal to −0.55. is marco's solution method valid? explain.
Mathematics
2 answers:
raketka [301]2 years ago
8 0
Help me with this please 
ch4aika [34]2 years ago
6 0

Answer:

yes, Marco's method is correct.

The given inequality can be rewritten using the properties of inequality.

You can subtract 2sin(3x) and 0.25 from both sides of the inequality.

Subtracting preserves the direction of the inequality, so 2sin(3x) would be less than or equal to –0.55.

Step-by-step explanation:


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A kid at the pool goes to jump from the high diving board. He climbs the stairs 3 feet, but he has to wait for the kid in front
beks73 [17]

Answer:

Probably 5 feet

Step-by-step explanation:

Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it

Sorry if wrong and hope this helps

7 0
2 years ago
A bakery sells rolls in units of a dozen. The demand X (in 1000 units) for rolls has a gamma distribution with parameters α = 3,
bearhunter [10]

Answer:

The value  is  E(X) =  \$ 1.7067

Step-by-step explanation:

From the question we are told that

   The  parameters  are  α = 3, θ = 0.5

    The cost of making a unit on the first day  is  c = $2

    The selling price of a  unit on the first day is  s = $5

    The selling price of a leftover unit on the second day is  v  = $ 1

Generally the profit of a unit on the first day is

        p_1 = 5 - 2

           p_1 = \$3

The profit of a unit on the second day is

       p_2 = 1 - 2

=>     p_2 = - \$1

Generally the probability of making profit greater than $ 1 is mathematically represented as

    P(X >  1 ) = Gamma (X ,\alpha , \theta)

=>   P(X >  1 ) = Gamma (1 ,3 , 0.5)

Now from the gamma distribution table  we have that

    P(X >  1 ) =  0.67668

Generally the probability of making profit less than or  equal to  $ 1 is mathematically represented as

       P(X \le  1 ) = 1 - P(X >  1 )

=>     P(X \le  1 ) = 1 - 0.67668

=>     P(X \le  1 ) = 0.32332    

So  the probability of making  $3  is    P(X >  1 ) =  0.67668

and  the probability of making  -$1  is   P(X \le  1 ) = 0.32332  

Generally the value of profit per day is mathematically represented as

      E(X) =  3 *  P(X >  1 )   +   (-1  *  P(X \le 1 ) )

=>     E(X) =  3 * 0.67668   +   (-1  *  0.32332 )

=>     E(X) =  \$ 1.7067

4 0
1 year ago
At a large company, employees can take a course to become certified to perform certain tasks. There is an exam at the end of the
WINSTONCH [101]

Answer:

A Type II error is when the null hypothesis is failed to be rejected even when the alternative hypothesis is true.

In this case, it would represent that the new program really increases the pass rate, but the sample taken is not enough statistical evidence to prove it. Then, the null hypothesis is not rejected.

The consequence is that the new method would be discarded (or changed) eventhough it is a real improvement.

Step-by-step explanation:

5 0
2 years ago
hury!!!! Which system is equivalent to StartLayout Enlarged left-brace 1st row y = negative 2 x squared 2nd row y = x minus 2 En
jeka57 [31]

Answer:

3rd Option

Step-by-step explanation:

Which equation is the inverse of y = 7x2 – 10?

y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot

y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

8 0
2 years ago
Read 2 more answers
Sam's Furniture Store places the following advertisement in the local newspaper.
boyakko [2]

Answer:

  • $500

Step-by-step explanation:

<h3>Given</h3>
  • Sofa = s
  • Love seat = l
  • Chair = c
  • Sofa and love seat cost = $1300
  • Sofa and 2 chairs cost = $1400
  • Sofa, love seat and one chair cost = $1600
<h3>To find</h3>
  • Love seat = ?
<h3>Solution</h3>

<u>Equations as per given are:</u>

  • s + l = 1300
  • s + 2c = 1400
  • s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

  • s + l + c - s - l = 1600 - 1300
  • c = 300

<u>Considering this in the equation 2:</u>

  • s + 2*300 = 1400
  • s = 1400 - 600
  • s = 800

<u>Substituting s in the equation 1:</u>

  • 800 + l = 1300
  • l = 1300 - 800
  • l = 500

<u>Answer:</u> Love seat costs $500

6 0
2 years ago
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