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avanturin [10]
2 years ago
5

What is the experimental probability of rolling a number greater than four?

Mathematics
1 answer:
Liula [17]2 years ago
5 0
Hello hope your doing well, I think it is 4/9. Hope this helped!!
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I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

5 0
2 years ago
Solve for x <br>4^x/9^x=½<br>​
kirill115 [55]

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x     logₐx = n

log₂.₂₅2 = x

x = 0.85476

3 0
3 years ago
The school band sold 3,305 raffle tickets to raise money for a trip to Disney World. Which equation shows the relationship betwe
Iteru [2.4K]
I believe it would be D.
4 0
3 years ago
Read 2 more answers
I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):
Aleonysh [2.5K]

Given:

m\angle L=m\angle Z=70^\circ

m\angle N=m\angle Y=90^\circ

To find:

The value of m\angle 1.

Solution:

In triangle XYZ,

m\angle Y=m\angle N=90^\circ        (Given)

m\angle Z=m\angle L=70^\circ         (Given)

m\angle X+m\angle Y+m\angle Z=180^\circ        [Angle sum property]

m\angle 1+90^\circ+70^\circ=180^\circ

m\angle 1+160^\circ=180^\circ

m\angle 1=180^\circ-160^\circ

m\angle 1=20^\circ

Therefore, the m\angle 1 is 20°.

5 0
3 years ago
X=8 units and h=5 units what is the area of the triangle
kykrilka [37]
Area=20. Ur welcome!
4 0
3 years ago
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