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Rus_ich [418]
2 years ago
11

Solve the equality 2(4x+1 )< 3(2x-3)

Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Answer:

Step-by-step explanation:

2(4x+1)<3(2x-3)

simplify to

8x+2<6x-9

we can add 9 to both sides and subtract 8x from both sides

11<-2x

divide by -2

-5.5>x

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Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
3 years ago
Help and explain your thinking please
Scilla [17]

Answer:

y=mx+b

Step-by-step explanation:

the equation would be y= 3/4 + 3

the rise is 3

the run is 4

the line runs through 3 on the y intercept.

3 0
3 years ago
What is the unit cost of $9 for $56.07
Dmitry [639]

Answer:

Hmm.. I'm stumped

Step-by-step explanation:

Just here to say you can do it without brainly, you're smart!

6 0
2 years ago
What is x for Unknown angle problems with algebra?
yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

We are given a right angle which is equal to 90°

So, all three angles must sum to 90°

Our equation will be:

x+2x+(x+10)=90

Solving and finding value of x

x+2x+x+10=90\\4x=90-10\\4x=80\\x=80/4\\x=20

So, the value of x=20

Keywords: Angles

Learn more about angles at:

  • brainly.com/question/3202836
  • brainly.com/question/7151553

#learnwithBrainly

5 0
3 years ago
15. What is the graph of the function rule? <br> y = |3x| - 1
VladimirAG [237]
<h3>Answer:</h3>

D

<h3>Explanation:</h3>

The graph of |x| opens upward. Your graph is vertically stretched by a factor of 3 and translated downward 1 unit.

Graphs B and D open upward, but only graph D is translated downward (not upward, as in B).

3 0
3 years ago
Read 2 more answers
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