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ivann1987 [24]
3 years ago
15

Help me out with this question (geometry)

Mathematics
1 answer:
MissTica3 years ago
4 0

Answer:

m<8=m<4=105

m<4=180-(4x-1)

=180-4x+1

105 =-4x+181

4x= 181-105

4x=76

X=19

m<6=180-105

=75

y-31=75

y =75+31

y=106

X+y=19+106

=125

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Most soybeans grown in the United States are genetically modified to, for example, resist pests and so reduce use of pesticides.
garri49 [273]

Answer:

Interval [0.67;0.95]

Step-by-step explanation:

Hello!

You need to estimate the population proportion of grain-handling facilities that detect GM beans in shipments with a confidence interval.

The formula you have to use is:

^ρ±Z_{1-\alpha/2} * √(^ρ*(1-^ρ)/n)

where ^ρ represents the sample proportion

^ρ= x/n = 17/21 = 0.809 ≅ 0.81

Confidence level 90%

Z_{1-0.0.05} = Z_{0.95} = 1.64

Interval

0.81±1.64 * √((0.81*0.19)/21)

0.81±0.140

[0.67;0.95]

With a confidence level of 90% you'd expect that the interval [0.67;0.95] contains the population proportion of grain-handling facilities that detect GM beans in shipments.

Remember:

The confidence level of an interval is the probability under which it is built. This probability indicates that if they build 100 confidence intervals, we expect 90 to contain the value of the population mean we are trying to estimate.

The bigger the confidence level, the bigger is the chance that it contains the estimated parameter, but then again, if you were to study the whole population there is no chance you'll miss the parameter.

The smaller the confidence level, there are fewer chances that it will contain the estimated parameter, but if it does, the estimation would be more accurate than with a bigger level.

You can think it like this, a shooter that hits the target at a distance of 5 meters (low confidence level) is way better than a shooter that hits the target at a distance from 20 cm (high confidence level)

90% Confidence level is acceptable enough to have an accurate estimation of the population parameter.

I hope it helps!

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Answer:

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Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

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We can subtract the acres of corn from the acres of wheat.
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