1.08928571429 simplified

I Need help with this Question

Dima020 [189]

Answer:GH = 5

Step-by-step explanation:

GJ = GH + HI + IJ

It is given that GH = IJ

Also, it can be seen that HJ = HI + IJ

We want to determine GH.

From the information given,

HJ = 7 and HI = 2. This means that

7 = 2 + IJ

Subtracting 2 from the left hand side and the right hand side of the equation, it becomes

IJ + 2 - 2 = 7 - 2

IJ = 5

Since GH = IJ, then it means that

GH = 5

5 0

4 years ago

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4

Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Average rate of 6.4 per 30 minutes.

This means that $\mu = 6.4$

What is the probability that three or four customers will arrive during the next 30 minutes?

$P = P(X = 3) + P(X = 4)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726$

$P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162$

$P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888$

18.88% probability that three or four customers will arrive during the next 30 minutes

4 0

4 years ago

I need help it's really hard<br>Properties of exponents

Agata [3.3K]

$\bf 12^x\times 12^4=12^8\implies \stackrel{\textit{if the base is the same, so are the exponents}}{12^{x+4}=12^8} \\\\\\ x+4=8\implies x=4$

3 0

4 years ago

There are 324 students in Jefferson middle school. 5/12 of the students are 7th graders. 1/4 of the students are 9th graders. Th

Greeley [361]

Answer:

They are 108 8th graders at Jefferson Middle School

Step-by-step explanation:

324 x 5/12 = 135 7th graders

324 x 3/12 = 81 9th graders

324 x 4/12 = 108 8th graders

3 0

3 years ago

Decide if the function is an exponential function. If it is, state the initial value and the base. y = - 1.8 ⋅ 6x

Ipatiy [6.2K]

Answer:

It is an exponential function.

Initial value is - 1.8 and the base is 6.

Step-by-step explanation:

The function is given by $y = - 1.8 (6)^{x}$ and it is an exponential function as the general form of an exponential function is $y = a(b)^{x}$ .

Here, if we put x = 0, the function becomes $y = - 1.8 (6)^{0} = - 1.8$ .

Therefore, the initial value of the function is - 1.8.

In the general equation of exponential function $y = a(b)^{x}$ , b is called the base and x is the exponent.

Therefore, in our case the base of the function $y = - 1.8 (6)^{x}$ is 6. (Answer)

8 0

3 years ago