Answer:
The company's chocolate bars weigh 1.6 ounces on average.
Step-by-step explanation:
We are given that a company claims that its chocolate bars weigh 1.6 ounces on average.
It took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.
95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.
Thus by definition we can say that The company's chocolate bars weigh 1.6 ounces on average.
Hence Option B is correct.
Answer:
9.78083151 irrational
Step-by-step explanation:
Here, we want to sum 2/5 + √(88) and check if it is rational or irrational
2/5 = 0.4
√88 = 2 √22
So 0.4 + 2 √22
So what we want to do here is add a rational number to an irrational number. Kindly recall that surds are irrational numbers.
Mathematically, adding a rational number to an irrational one gives an irrational result
so we have;
9.780831519647 irrational
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means

∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
Option d)

Step-by-step explanation:
We are given the following in the question:
Three of four people believed that the state of the economy was the country's most significant concern.
They would like to test the new data against this prior belief.
The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.
The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.

We design the null and the alternate hypothesis

Answer:
9 teams
Step-by-step explanation:
If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.
36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))
using this knowledge, we can then count up:
1+2+3+4+5+6+7+8 = 36
If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.