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kykrilka [37]
2 years ago
11

Suppose that x is normally distributed with mean 80 and standard deviation 25. What is the probability that x is greater than 77

. 5?
Mathematics
1 answer:
lana66690 [7]2 years ago
6 0

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   =\frac{77.5-80}{25} \\= 0.1

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

Learn more about Probability from here: brainly.com/question/16177246

#SPJ4

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8x-5=-3(3-2x)<br> Sole for x
horrorfan [7]
The first step would be to simplify both sides of the equal sign as much as possible. 
8x - 5 = -3(3 - 2x)
8x - 5 = -9 - (-6x)
8x - 5 = -9 + 6x

Next, you would need to combine like terms on both sides of the equal sign to one on one side of the equal sign and one on the other. 
8x - 5 = -9 + 6x
2x - 5 = -9
2x = -4

Now, all you have to do is isolate the x. To do this, you would divide both sides by 2. 
2x = -4
x = -2

I hope this helps!

4 0
4 years ago
Read 2 more answers
What do I use to find the answer?
Volgvan

Answer:

164 Yards

Step-by-step explanation:

With the information in this problem, we need to assume that triangle ADE and ABC are similar, otherwise we would not have enough information to solve it.

1. AE/DE=AC/BC (Since the triangles are similar, the corresponding parts will have the same ratio. In other words, you should be able to multiply the length of any side in one triangle by the same number and get a side length of the similar triangle.)

2. AE/DE=(AE+EC)/BC (Rewrite side length AC as the sum of its parts)

3. 230/120=(230+85)/BC (Insert the values given for each side length into the equation)

4. 230/120=315/BC (Add 230 and 85)

5. 230*BC=315*120 (Cross multiply)

6. BC=315*120/230 (Divide each side by 230 to isolate BC)

7. BC=164.347826... (Plug the equation into a calculator)

8. BC=164 (Since the problem asks to round to the nearest yard and the number in the tenths place is below 5, round your answer down to 164)

btw definitely ignore that guy posting links

please lmk if i made any errors, hope this helps!!!

7 0
3 years ago
Please i really need help
Hatshy [7]
The last expression: (16-8)x2+4=8x6=48
4 0
4 years ago
4.
Irina18 [472]

Step-by-step explanation:

the volume of the tent (triangular prism) is:

v = 1/2*b*h*l

v = 1/2*8*7*9

v = 252 ft^3

4 0
2 years ago
Can you use addition or subtraction to solve any system
Sauron [17]
Yes. <span>You can solve a system of equations through addition, subtraction, multiplication, or substitution.</span>
4 0
3 years ago
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