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sladkih [1.3K]
3 years ago
13

If three points lie on the same line, they are collinear.

Mathematics
2 answers:
Pie3 years ago
6 0

Answer:

Step-by-step explanation:

klio [65]3 years ago
4 0

Both of these are true statements. This also shows us that if 3 points are on the same line, than they are all also in the same plane.

This is known as hypothetical syllogism, or more basically put:

If a then b, if b then c. Therefore if a then c.

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Suppose a baker claims that his bread height is more than 15 cm, on average. Several of his
yKpoI14uk [10]
  1. Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
  2. Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For the baker's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ ≤ 15

H₁: μ > 15

Since the standard deviation for the height is given, the population would have a normal distribution, and the population standard deviation is given by:

Population standard deviation = σ/√n

Population standard deviation = 0.5/√10

Population standard deviation = 0.16.

For the p-value, we have:

The p-value is the probability that a sample mean would be the same or greater than (≥) 17 cm. Thus, the p-value is given by:

p-value = P(x > 17) ≈ 0.

Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.

Question 3.

For the oil company's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ = 0.15

H₁: μ > 0.15

<h3>How to calculate value of the z-score?</h3>

The z-score can be calculated by using this formula:

z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of boys.

Substituting the given parameters into the formula, we have;

z=\frac{0.162\;-\;0.15}{\frac{0.04}{\sqrt{40} } }\\\\z=\frac{0.012}{\frac{0.4}{6.3246 } }

z = 0.012/0.0633

z = 0.190.

From the z-table, a z-score of 0.190 is equal to a p-value of 2.37.

For the critical value, we have:

Critical probability (p*) = 1 - α/2

Critical probability (p*) = 1 - 0.1/2

Critical probability (p*) = 0.95.

Hence, the critical value is Zα/2 equal to 1.645.

Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
9 months ago
3.5(x+2.2)^2+3.5(y-11.1)^2=21 what is the radius of the circle?
Alchen [17]
The radius of the circle would be 12
4 0
3 years ago
Red blood cells diffuse gas in and out of the bloodstream. Find the surface to volume ratio for a red blood cell using the infor
Tems11 [23]

Answer:

1.29

Step-by-step explanation:

6 0
3 years ago
1. Ashton rode his bicycle 3.25 miles in 12 minutes. What was Ashton's average rate in miles per hour
Contact [7]

Answer: the answer is 3.6 mph

Step-by-step explanation: to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by 3.25

6 0
2 years ago
Simplify one and four sevenths
BlackZzzverrR [31]
It is 11/7 as a fraction
8 0
2 years ago
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