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BartSMP [9]
3 years ago
12

The mean is μ = 15.2 and the standard deviation is σ = 0.9. find the probability that x is greater than 17.

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0
The probability that x >17 will be found as follows:
the z-score is given by:
z=(17-15.2)/0.9=2
Thus
P(X>17)=1-P(x<17)=P-(z=2)
=1-0.9772
=0.0228

ch4aika [34]3 years ago
5 0

Answer:

0.0228

Step-by-step explanation:

Note: mean is the sum of observation divided by the number of observation. It is also the summation of elements in the sample space divided by the frequency of occurrence in the sample space

probability is the likelihood of an event to occur.

The mean is 15.2 and the standard deviation is 0.9. Find the probability that X is greater than 17.

-------

z(17) = (17-15.2)/0.9 = 2

P(x > 17) = P(z > 2) = normalcdf(2,100) = 0.0228

checking the normal distribution table we get 0.0228

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Please help me! 15 points
arsen [322]

Answer:

a. The length of FA is 1.

b. The length of the radius (AC) is 2.

c. The circumference of the circle A is 4π units.

d. The measure of the minor arc BC is 107°.

e. The length of the minor arc BC is (107/90) π.

f. The m<BFC and m<EFD is 125.5°.

g. The m<BFE is 180°.


Step-by-step explanation:

Radius: R=AB=2

FC=1

Arc CD = 180°

Minor arc BD = 73°

Minor arc EC = 36°


a. What is the length of FA?

FA=AC-FC

AC is a radius, then AC=AB→AC=2

Replacing in the known values in the equation above:

FA=2-1

FA=1


b. What is the length of the radius (AC)?

The radius AC must be equal to the radius AB, then:

AC=AB→AC=2


c. What is the circumference of the circle A?

Circunference of circle A: L=?

L=2 π R

L=2 π (2)

L=4π


d. What is the measure of the minor arc BC?

Minor arc BC = arc CD - Minor arc BD

Minor arc BC = 180°-73°

Minor arc BC = 107°


e. What is the length of the minor arc BC?

Length of minor arc BC: l=?

l=(Minor arc BC / 360°) L

l=(107°/360°) 4π

l=(4*107/360) π

l=(107/90) π


f.  What is the m<BFC and m<EFD

<BFC and <EFD are interior angles, then:

m<BFC = m<EFD = ( Minor arc BC + Minor arc DE) / 2

Minor arc DE = arc CD - Minor arc EC

Minor arc DE = 180°-36°

Minor arc DE = 144°

m<BFC = m<EFD = ( 107° + 144° ) / 2

m<BFC = m<EFD = ( 251° ) / 2

m<BFC = m<EFD = 125.5°


g. What is the m<BFE?

<BFE is a straight angle, then m<BFE=180°





8 0
3 years ago
Need help ASAP can figure out
s344n2d4d5 [400]

Answer:

Answer is D

Step-by-step explanation:

First use sine to figure out x

so "sin(31) = 12 ÷ x"

mulitply both sides by x and you get "x * sin(31) = 12"

divide both side by sin(31) so you get "x = 12 ÷ sin(31)"

after plugging it in a calculator, you get 23.2992 and just rounf to the nearest tenth and you get 23.3

4 0
2 years ago
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