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Dmitry_Shevchenko [17]
3 years ago
15

Consider g(x)= {a sin x + b, if x ≤ 2pi} {x^2 - pi x + 2, if x > 2pi}

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer:

s

Step-by-step explanation:

jskdkjddndkdihdbjsjshs

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A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di
Lena [83]

Answer:

Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, \mu = 1.3 cm            and           Standard deviation, \sigma = 0.01 cm

Also, since distribution is normal;

                 Z = \frac{X -\mu}{\sigma} ~ N(0,1)

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

  P(X < 1.33) = P( \frac{X -\mu}{\sigma} < \frac{1.33 -1.3}{0.01} ) = P(Z < 3) = 0.99865

  P(X <= 1.27) = P( \frac{X -\mu}{\sigma} < \frac{1.27 -1.3}{0.01} ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

                                                                                            = 0.00135

 P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .

Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .

7 0
3 years ago
Helppp someone!! I’m giving brainliests to everyone
Annette [7]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
The Pythagorean theorem only works on which triangle?
vlada-n [284]

Answer: all triangles

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In a recent poll, 35% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Supp
Schach [20]

Answer:

we have that z = 1.8326 which is not close to z factor of 0. The result is not within limits.

Step-by-step explanation:

Following normal approximation to binomial we have

mean = n×p

standard deviation = √(n×p×(1-p))

n is equal to 160

p is equal to 35%

n×p is equal to 150×0.35 = 52.5

this is the probability that you would expect based on the knowledge that 35% of survey respondents said they would prefer a boy than a girl.

in your survey you got 74 out of 150 and you want to know if this is statistically significant or if you can expect this deviation by chance.

standard deviation is calculated as √(n×p× (1-p))which becomes

√ (150×0.35×0.75 = 6.2749 which is more than enough accuracy for what is required.

without a continuity correction, your formula would be:

z (74 > 52.5) = (population mean - sample mean) / population standard deviation which becomes (74-52.5)/6.2749 = 1.8326

this is not close to a z factor of 0 which means that the results are not within limits.

with a continuity correction, your formula would be:

z (52.5 > 52.5) = 0

A z factor of zero means that your sample mean is exactly the population mean.

3 0
3 years ago
PLS HELP SHOW ALL YOUR WORKING OUT AND BRAINLIEST WILL BE AWARDED
hammer [34]

Answer:

5.97 cm  to 3 significant figures.

Step-by-step explanation:

The diameter of the circle will be equal to the length of the diagonal of the square.

Area = 56 = πr^2

r^2 = 56 / π

r = √(56 / π) =  4.222 cm

So the diameter = 8.444 cm.

This  is  = diagonal of the square so, by The Pythagoras Theorem:

x^2 + x^2 = 8.444^2     where x  is the side of the square.

x^2 = (8.444)^2 / 2

x^2 = 35.651

x =  5.971 cm

4 0
3 years ago
Read 2 more answers
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