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makvit [3.9K]
3 years ago
9

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
Sin = opposite/hypotenuse, so one side is 7 and the other is 8.
sqrt(64-49)=sqrt(15) which is the third side, and tangeant = opposite/adjacent, which is 7/sqrt(15). Cotangeant is 1/tangeant, so it would be sqrt(15)/7
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Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair
Mashutka [201]

Answer:

B. A teacher compares the pre-test and post-test scores of students

Step-by-step explanation:

the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group

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3 years ago
What is the volume of the prism?
Aleks04 [339]
The answer is 1080 hope this is helpful
4 0
3 years ago
Read 2 more answers
Two companies, A and B, make express delivery for small-item packages in a city. Company A charges a flat fee of RM70 per packag
bazaltina [42]

Using the <u>normal probability distribution and the central limit theorem</u>, it is found that:

a) There is a 0.1922 = 19.22% probability that Company B would charge more than Company A to deliver a small-item package.

b) The mean amount charged is of RM 51.5, with a standard deviation of 21.35.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem:

  • When a <u>fixed constant k</u> multiplies a variable, the mean is k\mu and the standard deviation is k\sigma
  • When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this question, b is needed to solve a, so I am going to place the solution to item b first.

Item b:

Flat fee of RM20(not considered for the standard deviation), plus a variable fee of RM3.5, hence:

\mu_B = 20 + 3.5(9) = 51.5

\sigma = 6.1(3.5) = 21.35

The mean amount charged is of RM 51.5, with a standard deviation of 21.35.

Item a:

This probability is P(B - A) > 0. For the distribution, we have that:

\mu_{B-A} = \mu_B - \mu_A = 51.5 - 70 = -18.5

Since A has a constant fee, it's standard deviation is 0, hence:

\sigma_{B-A} = \sqrt{\sigma_A^2 + \sigma_B^2} = \sqrt{21.35^2} = 21.35

The probability is <u>1 subtracted by the p-value of Z when X = 0</u>, so:

Z = \frac{X - \mu}{\sigma}

Z = \frac{0 + 18.5}{21.35}

Z = 0.87

Z = 0.87 has a p-value of 0.8078.

1 - 0.8078 = 0.1922.

0.1922 = 19.22% probability that Company B would charge more than Company A to deliver a small-item package.

A similar problem is given at brainly.com/question/25403659

3 0
2 years ago
Please help with this one
lisabon 2012 [21]

Answer:

a=110

b=90

Step-by-step explanation:

because as u see A has a straight line and u take awy by 180 which is 110

and for B it looks like a right angle so it woul be 90

6 0
2 years ago
Can y’all help me with this I’m struggling
hodyreva [135]
1. I don’t know :( sorry

2. No solution because they are parallel lines and do not intersect
7 0
2 years ago
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