MATHEMATICS HIGH SCHOOL

Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain.

Answers

Answer 1
Answer:

Answer:

Mr. Rodriguez made a reasonable inference. His sampling was random, nonbiased, and reasonably large compared to the school population. 12 is 20% of 60.

Step-by-step explanation:

the ratio in the sample is 12/60, or 0.2
Answer 2
Answer:

Answer:

The fair assumption was made by Mr. Rodriguez. His surveys were random, non-biased and very large according to the population of the schools. Of 60, 12 is 20%.

Im sad

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What is the value of the expression 3/3^-2 ?A.27

B.18

C.1/2

D.1/3

Answers

the answer is a I hope this helped you out

If sin Θ = 2 over 3 and tan Θ < 0, what is the value of cos Θ?square root 5 over 2

negative square root of 5

square root of 5 over 3

negative square root of 5 over 3

Answers

if sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative. Using the calculator, the answer is -0.7454. This is equivalent to option D. negative square root of 5 over 3

If sin Θ = 2 over 3 and tan Θ < 0, then the value of cos Θ = - (√5) / 3

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!

If \sin \theta = 2 / 3 , then :

\text{opposite = 2}

\text{hypotenuse = 3}

We can calculate adjacent by using Pythagorean theorem .

adjacent^2 = hypotenuse^2 - opposite^2

adjacent^2 = 3^2 - 2^2

adjacent^2 = 9 - 4

adjacent^2 = 5

adjacent = √(5)

Finally we can calculate the value of cos Θ in the following way :

\cos \theta = -\text{adjacent / hypotenuse}

\large {\boxed {\cos \theta = (-√(5))/(3)} } }

We give a negative sign because tan Θ < 0, and this means the angle is between 90° and 180°

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse  

Which equation has the same solution as ?

Answers

the answer is
(x-3)^2=16
4th answer option is correct because x*x is x^2, 3x+3x is positive 6x, and 3*3 is 9, 9 minus 16 is -7

What is -5/8 + 3/4 ?

Answers

Answer:

0.125

Step-by-step explanation:

Compare the decimals 18.10 and 18.1. Which comparison is correct? A. 18.10 = 18.1 B. 18.10 > 18.1 C. 18.10 < 18.1

Answers

18.10=18.1
The 0 in 18.10 does not affect the place value 

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).

Answers

The value of ( g o f ) (0) is -3.

Here,

The function is given as;

f (x) = x^(2) and g (x) = x-3

We have to find the value of ( g o f ) (0).

What is Composite function?

Composite function is an operation that takes two functions f and g and produces a function k such that k (x) = g(f(x)).

Now,

The function are;

f (x) = x^(2) and g (x) = x-3

Simplify ( g o f ) (0) as;

⇒ ( g o f ) (0) = g ( f (0)) = g (0) = 0-3 = -3

Hence, The value of ( g o f ) (0) is -3.

Learn more about the composite function visit:

brainly.com/question/17749205

#SPJ2
f(0) = 0
g(f(0)) = 0 - 3 = -3

answer
(g ∘ f)(0) = -3
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