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Nezavi [6.7K]
3 years ago
8

There are 1,417 souvenirs Paperweights that will need to be packed in boxes.each box will hold 16 paperweights.how many boxes wi

ll be needed
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer: you would need about 89

Step-by-step explanation:

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Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y-7x)= 7x^2-10y^2-2x What error did Marcus make?
Yuri [45]

we have

(3x^{2} -2y^{2}+5x)+(4 x^{2}+12y^{2}-7x)

Combine like terms

(3x^{2} -2y^{2}+5x)+(4 x^{2}+12y^{2}-7x)\\=(3x^{2}+4x^{2})+(-2y^{2}+12y^{2})+(5x-7x)\\=7x^{2} +10y^{2}-2x

therefore

<u>the answer is the option C</u>

He combined the terms -2y^{2} and 12y^{2} incorrectly

8 0
3 years ago
Read 2 more answers
Choose two expression equivalent to 5
aleksklad [387]
A and C I’m pretty sure D is also equivalent to 5.
7 0
2 years ago
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes
andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

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

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} 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^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

P(X > 3) = e^{-0.0833*3} = 0.7788

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0
3 years ago
Solve the system of equations.<br> 7y + 10.x = -11<br> 4y - 3x = -15
Sidana [21]

Answer:

x= 1

y= -3

Step-by-step explanation:

multiply them to get common factor for y or x:

3(7y+10x=-11)

10(4y-3x=-15)

21y+30x=-33

40y-30x=-150    <em>x's cancel out so solve for y</em>

61y = -183

/61      /61

y = -3                 <em> insert y into either equation and solve for x</em>

<em />

<em>4(-3) -3x=-15</em>

<em>x = 1</em>

7 0
2 years ago
What equation is parallel to the line 3x+y=5
Alex_Xolod [135]

Answer:

Any equation with the slope -3 and a y intercept that does not equal 5

Step-by-step explanation:

a line is parallel if the line have the same slope, and different y intercepts

3x+y=5  

in slope intercept form is

y=-3x+5

slope : -3

y intercept 5

3 0
3 years ago
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