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Vesna [10]
3 years ago
14

If ab and cd are congruent what is the measure of

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

the measure of angle COD will be 101°

angle AOB and angle COD are vertically opposite angles

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Which inequality represents the following situation: In order to ride the Ferris wheel, riders must be at least 46 inches tall.
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third choice is the answer r is greater than or equal to 46

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Real question -6n - 4n = 30 n =
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What is the length of VS?
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Find the value of a in the parallelogram shown to the right. Note that the figure is not drawn to scale.
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2 years ago
Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation from bottle to bottle because
marshall27 [118]

Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

Step-by-step explanation:

From data and excel (or any statistics calculator) we get:

X = 249,6 ml         and       s  1,26 ml

Sample mean and sample standard deviation respectively.

Population mean  μ₀  = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis       H₀    X = μ₀

Alternative Hypothesis                                 Hₐ     X ≠ μ₀

We also know that sample size is 8  therefore df  =  8 - 1   df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n)   ⇒   249,6 ±  2,365 * ( 1,26/√8 )

 249,6 ±  2,365 * (1,26/2,83)  ⇒ 249,6 ±  2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being  fill withing the spec. We accept H₀

7 0
3 years ago
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