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Degger [83]
3 years ago
5

Can someone plz help me out

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0
2.false. This is so as 3 to 4 or 3/4=0.75 while 4 to 3 is 1.333333333333333 infinite. 
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Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
Help please ::)))))........................
Zarrin [17]

Answer:

4:9

Step-by-step explanation:

  1. Circles: 8
  2. Total shapes: squares + circles
  3. Total shapes: 10 + 8
  4. Total shapes: 18
  5. Circles : Total shapes = 8:18
  6. 8:18 = 4:9

I hope this helps!

3 0
3 years ago
Read 2 more answers
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 3 miles to the roa
patriot [66]
53+3(D) = L

53 + 3(38) =L

53 +114 = L

167=L
6 0
3 years ago
Does anyone know the answers???
Vikentia [17]

Answer:

20. C, 21. A, 22. B

Step-by-step explanation:

20. Terms are numbers with variables next to them.

21. T can be anything. It can't be irrational because timers have a certain number. So for example, swimmer swims in 10 seconds, 18.5 seconds, 18.67 seconds, and so on.

22. If you solve 3x ≥ -12 and 8x ≤ 16, you get 3x ≥ -12; x = -4, and 8x ≤ 16; x = 2.

Hope it Helps!

Plz give brainliest. It would be appreciated!

7 0
3 years ago
The length of a garden can be expressed as 2X +6 feet and the width is X +7 feet what is the perimeter of the garden what is the
Virty [35]

Answer:

6x + 26 feet

Step-by-step explanation:

Assuming the garden is a rectangular shape, we have four sides, where two sides are 2x + 6 feet and two sides are x + 7 feet. To find the perimeter, we add up the lengths of all four sides.

2x + 6 + 2x + 6 + x + 7 + x + 7

or

2(2x + 6) + 2(x + 7)

6x + 26

6 0
3 years ago
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