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kvv77 [185]
3 years ago
5

Solve the right angle trig problem.

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

x = 40.7057°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Trigonometry</u>

  • [Right Triangle Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We have a right triangle. We can use trig to find the angle.

<u>Step 2: Identify Variables</u>

Angle = <em>x</em>

Opposite = 15

Hypotenuse = 23

<u>Step 3: Find Angle </u><em><u>x</u></em>

  1. Substitute:                    sinx° = 15/23
  2. Inverse:                         x° = sin⁻¹(15/23)
  3. Evaluate:                       x = 40.7057°
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A simple random sample of size n=10 is obtained from a population that is normally distributed with a mean of 40 and a standard
Eva8 [605]

Yes, the sampling distribution is normally distributed because the population is normally distributed.

A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.

A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.

Solution :

mean = μ40

standard deviation σ σ= 3

n = 10

μx =  40

σ x = σ√n =  3/√10  = 0.9487

μ x =  4σ\x = 0.9487

σx = 0.9487

Yes, the sampling distribution is normally distributed because the population is normally distributed.

Learn more about sampling distribution here:- brainly.com/question/12892403

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3 0
1 year ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of th
Keith_Richards [23]

Answer:

8 cm and 9 cm

Step-by-step explanation:

The other two sides added together have to equal a larger number than 13, since 13 is the largest side.

5 + 8 = 13

6 + 7 = 13

7 + 2 = 9

8 + 9 = 17

7 0
3 years ago
Read 2 more answers
Solve 4 square root of 3 = 8cos
sukhopar [10]

Therefore \theta = 30^\circ

Step-by-step explanation:

Given,

4\sqrt{3 } =8 cos \theta

\Leftrightarrow cos \theta =\frac{4\sqrt{3} }{8}

\Leftrightarrow cos \theta =\frac{\sqrt{3} }{2}

\Leftrightarrow cos \theta =cos 30^\circ

\Leftrightarrow  \theta = 30^\circ

Therefore \theta = 30^\circ

4 0
3 years ago
Andre wants to save $40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives
kirill115 [55]

Answer:

<u>Andre’s neighbor pays him $ 10 each week to mow the lawn </u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of Andre's dad gift = $ 40

Weekly donation to the food bank = $ 2

Number of weeks to save $ 40 = 5

2. How much does Andre’s neighbor pay him each week to mow the lawn?

Let's calculate this amount, this way:

Weekly payment = [Cost of the gift + (Weekly donation * Number of weeks to save)]/Number of weeks

Replacing with the real values we know:

Weekly payment = [40 + (2 * 5)]/5

Weekly payment = 50/5 = 10

<u>Andre’s neighbor pays him $ 10 each week to mow the lawn </u>

5 0
3 years ago
Use properties to evaluate - (- = {)6.<br> O A. 1<br> B.<br> c.-<br> O D. 1 /<br> SUBMIT
bogdanovich [222]

Answer:

-4/5

Step-by-step explanation:

first use bodmas to evaluate work on brackets then division

6 0
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