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Bess [88]
2 years ago
5

Is 0.15893 rational or irrational?

Mathematics
2 answers:
Pachacha [2.7K]2 years ago
8 0
Irrational to many numbers to the right of the decimal it is going to far
Ganezh [65]2 years ago
5 0
It would be irrational
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A professional baseball team won 84 games this season.The team won 14 more games than it lost.There were no ties.How many did it
babunello [35]
No of games lost = 84 - 14 = 70
No of games played = 84 + 70 = 154
8 0
1 year ago
Find the z value such that the area under the standard normal distribution curve between 0 and z value is 0.3962 or 39.62%.
FinnZ [79.3K]

Using the normal distribution, it is found that z is Z = 1.26, given by option B.

------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the <u>area under the normal curve to the left of Z</u>. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is also the <u>area under the normal curve to the right of Z</u>.

------------------

  • Area under the normal curve between 0 and the z-value is 0.3962.
  • Z = 0 has a p-value of 0.5.
  • Thus, we need to find z with a p-value of 0.5 + 0.3962 = 0.8962.
  • Looking at the z-table, this is Z = 1.26, given by option B.

A similar problem is given at brainly.com/question/22940416

4 0
1 year ago
Read 2 more answers
A computer sells for $ 900 $900dollar sign, 900 and loses 30 % 30%30, percent of its value per year. Write a function that gives
Kazeer [188]

Answer:

The value of the computer is given by 900(0.7)^{t}.

Step-by-step explanation:

A computer sells for $900.

If the price of the computer loses 30% of its value per year, then it is compounded every year.

Now, the price of the computer t years after it is sold will be  

900(1 - \frac{30}{100})^{t}  = 900(0.7)^{t} ........... (1)

Therefore, the value of the computer is given by the above equation (1). (Answer)

8 0
1 year ago
Read 2 more answers
Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.
NikAS [45]

Answer:

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Step-by-step explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) .   b = (-4,5,-1).  c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution

7 0
1 year ago
Find dy/dx implicitly and find the largest interval of the form −a &lt; y &lt; a or 0 &lt; y &lt; a such that y is a differentia
mylen [45]

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

=> cos²y = x² (equation 3)

Using (equation 3) in (equation 2), we have

siny = √(1 - x²) (equation 4)

Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

=> 1 - x² = 0

=> x² = 1

=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

6 0
2 years ago
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