Last year the cost of a season ticket for a Rugby club was £370

Annabelle measures the sides of 15 right triangles and, based on her observations, she concludes that for any right triangle the

Svet_ta [12734]

Response: Annabelle is employing the statistical concept known as Mode.

Detailed explanation: A central tendency measure, in its most basic sense, is a singular value or measure that effectively represents all elements of a particular data set. As such, one number can serve to essentially represent 99 other numbers in a data set of one hundred figures.

Commonly acknowledged measures of central tendency include mean, median, and mode.

The mode denotes the value that appears most often in a data set. Therefore, the modal value is statistically suitable as a representative of the entire group of values or data points.

If Annabelle measures the sides of 15 right triangles and concludes that the sum of the squares of the two legs is equal to the square of the hypotenuse for any right triangle, she is identifying the most frequently occurring value, and in her analysis, the most common data observed aligns with the Pythagorean Theorem.

This is why Annabelle's assumption is made with confidence.

6 0

2 months ago

A game spinner has regions that are numbered 1 through 8. If the spinner is used twice, what is the probability that the first n

Zina [12379]

Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.

4 0

1 month ago

Lines a and b are parallel. What is the measure of ∠5 if ∠4 measures 104°?

babunello [11817]

Response:

I hope the image provided solves your query

4 0

2 months ago

A new weight-watching company, Weight Reducers International, advertises that those who join will lose an average of 10 pounds a

Inessa [12570]

Answer:

The value calculated is Z = 2.53, which exceeds 1.96 at a significance level of 0.05

This leads to the rejection of the null hypothesis H₀

Thus, we accept the alternative hypothesis

This implies that individuals participating in Weight Reducers will lose more than 10 pounds

Step-by-step explanation:

Step(i):-

The size of the random sample 'n' = 50

The new weight-loss program, Weight Reducers International, claims that members will shed an average of 10 pounds within the initial two weeks, with a standard deviation of 2.8 pounds.

Population mean 'μ' = 10 pounds

Population standard deviation 'σ' = 2.8 pounds

Sample mean 'x⁻' = 9

Significance level ∝ = 0.05

Step(ii):-

Null hypothesis: H₀: μ < 10

Alternative hypothesis: H₁: μ > 10

Test statistic calculation

$z= \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$z= \frac{9 - 10}{\frac{2.8}{\sqrt{50} } } = \frac{-1}{0.395} = 2.53$

The determined Z value is 2.53

In this case, the critical value Z is 1.96 at the 0.05 significance level

Step(iii):-

Calculated Z value of 2.53 is greater than 1.96 at a significance level of 0.05

Consequently, we reject the null hypothesis H₀

We accept the alternative hypothesis

Conclusion:-

We determine that individuals who sign up for Weight Reducers will experience a weight loss exceeding 10 pounds

6 0

2 months ago

Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =

tester [12383]

Answer:

Attached is the question in consideration.

$m\angle CEA =90 \ (deg)$

$m\angle BEF=135\ (deg)$

$\angle CEF$ forms a straight line.

$\angle AEF$ depicts a right triangle.

The options $1,4,5,6$ represent the correct answers.

Step-by-step explanation:

⇒ Given that $\ ray\ AE$ is ⊥ $FEC$ it constitutes a right triangle, leading to $m\angle CEA =90\ (deg)$ .

⇒ The measure for $\angle BEF =135\ (deg)$ equals $\angle BEF =\angle AEB +\angle AEF = (45+90)=135\ (deg)$ as $\angle AEB$ bisects $\angle AEC$ , implying that $\angle AEB$ is half of $\angle AEC$ , thus $\angle AEB = 45\ (deg)$ .