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Marina CMI [18]
3 years ago
6

Give three soulutions of the inequality 5x-2>7.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
5x - 2 > 7
x = 2, 3, 4, 5.
for x = 2, 5*2 - 2 = 8 > 7
for x = 3, 5*3 - 2 = 13 > 7
for x = 4, 5*4 - 2 = 18 > 7
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Use the formula for continuously compounded interest, A = Pert, to find the annual interest rate for an $8000 investment that ea
ratelena [41]

Answer:

c 5%

Step-by-step explanation:

8000 + 410.7 = 8000 e^(r)

e^r = 1.05127125

r lne = ln1.05127125

r = 0.05006316309 × 100

5%

4 0
3 years ago
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The number of errors in a textbook follow a Poisson distribution with a mean of 0.03 errors per page. What is the probability th
maksim [4K]

Answer:

The probability that there are 3 or less errors in 100 pages is 0.648.        

Step-by-step explanation:

In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.

For the given Poisson distribution the mean is p = 0.03 errors per page.

We have to find the probability that there are three or less errors in n = 100 pages.

Let us denote the number of errors in the book by the variable x.

Since there are on an average 0.03 errors per page we can say that

the expected value is, \lambda = E(x)

                                       = n × p

                                       = 100 × 0.03

                                       = 3

Therefore the we find the probability that there are 3 or less errors on the page as

     P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)

                 

   Using the formula for Poisson distribution for P(x = X ) = \frac{e^{-\lambda}\lambda^X}{X!}

Therefore P( X ≤ 3) = \frac{e^{-3} 3^0}{0!} + \frac{e^{-3} 3^1}{1!} + \frac{e^{-3} 3^2}{2!} + \frac{e^{-3} 3^3}{3!}

                                 = 0.05 + 0.15 + 0.224 + 0.224

                                 = 0.648

 The probability that there are 3 or less errors in 100 pages is 0.648.                                

7 0
3 years ago
Read 2 more answers
Mr. Roseanne will buy 12 1/2 pounds beef for for a cookout. The price for the first 3 pounds of beef is $4.99 per pound. After t
Yuri [45]

Answer:

As per the statement:

Mr. Roseanne will buy 12\frac{1}{2} pounds beef for for a cookout.

⇒ Weight of the beef he buy = \frac{25}{2} pounds.

It is given that:

The price for the first 3 pounds of beef is $4.99 per pound.

then;

the price for 3 pounds he will pay= 3 \times 4.99 =\$ 14.97

After that, the price is $4.49 per pound.

Remaining weight of beef left  = \frac{25}{2} -3 = \frac{19}{2} pounds.

then;

the price of \frac{19}{2} pounds he will pay = \frac{19}{2} \times 4.49= \$42.655

now, total money he will pay for the 12\frac{1}{2} pounds beef = 14.97+42.655 = \$57.625

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4 0
3 years ago
Please answer this it’s not answered on brainly yet
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Answer:

125.92 sq cm

Step-by-step explanation:

You need to find the area of all the sides, so:

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= 125.92 sq cm

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3 years ago
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Nico wants to use a horizontal number line to compare 1 3/4
e-lub [12.9K]

Answer:

1 3/4 is greater than 1.5.

Step-by-step explanation:

1. To make a line that measures 1 3/4, make 2 regular lines.

2. Divide one of the lines into 4 equal sections and erase the one section and leaving you with 1 3/4.

To make the 1.5:

1. Make a line and make another line but that is half of the length of the previous line.

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4 years ago
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