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sattari [20]
2 years ago
15

Sandy has $200 in her bank account.

Mathematics
1 answer:
Mademuasel [1]2 years ago
3 0
The answer it is b because that is the right answer
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In a production process, the diameter measures of manufactured o-ring gaskets are known to be normally distributed with a mean d
Art [367]

Answer:

DIRECT WAY EXCEL

"=NORM.DIST(75,80,3,TRUE)"

And we got: P(X\leq 75)= 0.04779

OTHER WAY

P(X\leq 75)=P(\frac{X-\mu}{\sigma}\leq \frac{75-\mu}{\sigma})=P(Z\leq \frac{75-80}{3})=P(Z

And we can find this probability using the normal standard table or excel:

P(Z

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".  

Solution to the problem

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

X \sim N(80,3)  

Where \mu=80 and \sigma=3

And we know that if the diameter is 75 or less the ring would be considered defective , so then in order to find the proportion of defective we need to find the following probability:

P(X\leq 75)

One way to do this in excel is with the following formula:

"=NORM.DIST(75,80,3,TRUE)"

And we got: P(X\leq 75)= 0.04779

And the other way is use the z score formula given by:

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

If we apply this formula to our probability we got this:

P(X\leq 75)=P(\frac{X-\mu}{\sigma}\leq \frac{75-\mu}{\sigma})=P(Z\leq \frac{75-80}{3})=P(Z

And we can find this probability using the normal standard table or excel:

P(Z

3 0
2 years ago
When equation represents the function f(x)=(1.6)x after it has been translated 5 units up 9 units to the right?
wel
For this question my answer would be

g(x)=(1.6)x-9+5

Hope this Helps
5 0
2 years ago
Read 2 more answers
Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles
astra-53 [7]

Answer:

It will take Lin an hour and 25 minutes at her constant speed, and it will take Jada at her constant speed an hour and 30 minutes.

SO, Lin will arrive at 4:25

and Jada will arrive at 4:30

There is a 5 minute difference in time.

Step-by-step explanation:

From the facts given, Lin can walk 13 miles in 5 hours which when you divide means she can walk 2.6 mph (miles per hour), and Jada can walk 2.5 mph.

To get these answers you divide the current speeds into the total distance

For example, in Lin's case...

3.25 (The 3 and 1/4 mile converted to decimal form)

2.6 (Lin's Average speed per hour)

3.25/2.6=1.25

1.25 (1 hour and 25 minutes)

5 0
2 years ago
A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete
d1i1m1o1n [39]

Answer:

336π square millimeterz

3 0
2 years ago
Read 2 more answers
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Leviafan [203]
The answer is D) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
5 0
2 years ago
Read 2 more answers
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