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pashok25 [27]
2 years ago
9

A bus started with 54 passengers the bus dropped off 29 passengers are left on the bus?

Mathematics
1 answer:
ASHA 777 [7]2 years ago
7 0
25 passengers should be left
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A certain change in a process for manufacture of component parts is being considered. Samples are taken using both the existing
Katyanochek1 [597]

Answer:

a) The confidence interval is 0.00\leq\pi_1-\pi_2\leq0.02.

Step-by-step explanation:

We have to calculate a confidence interval (CI) of a difference of proportions.

For the existing procedure, the proportion is:

p_1=75/1500=0.05

For the new procedure, the proportion is:

p_2=80/2000=0.04

To calculate the CI, we need to estimate the standard deviation

s=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }\\\\s=\sqrt{\frac{0.05(1-0.05)}{1500} +\frac{0.04(1-0.04)}{2000} }=\sqrt{ 0.000032 + 0.000019 }=\sqrt{  0.000051 }\\\\s=0.007

For a 90% CI, the z-value is 1.64.

Then, the CI is:

(p_1-p_2)-z*\sigma \leq\pi_1-\pi_2\leq(p_1-p_2)+z*\sigma \\\\(0.05-0.04)-1.64*0.007\leq\pi_1-\pi_2\leq(0.05-0.04)+1.64*0.007\\\\0.01-0.01\leq\pi_1-\pi_2\leq0.01+0.01\\\\0.00\leq\pi_1-\pi_2\leq0.02

6 0
3 years ago
What is the relationship between 7 and —7?
Alex73 [517]

Answer: absolute value

Step-by-step explanation:

Sorry for my writing it’s horrible ik I’m in a hurry rn lol

4 0
3 years ago
The solution of this question
nata0808 [166]

9514 1404 393

Answer:

  30°, 150°

Step-by-step explanation:

You know the answer to this because you have memorized the short table of trig function values.

  sin(θ) = 1/2 for θ = 30° and θ = 150°

5 0
3 years ago
(How do I solve <br> 1/3)^4
Serga [27]

Answer:

............ .. ..sjsjjs

7 0
3 years ago
Read 2 more answers
Solution of this equation
lara31 [8.8K]
2.5y + 3x = 27
5x - 2.5y = 5

Align the variables to make solving this easier.

2.5y + 3x = 27
-2.5y + 5x = 5

You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.

3x = 27
5x = 5

8x = 32

Divide both sides by 8.

x = 4

Now input that x into one of the equations to get y. 

2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6

The answer to this system of equations is x = 4, y = 6. (4, 6)
5 0
3 years ago
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