FIND THE DOMAIN AND THE RANGE.

URGENT!!! ITS DUE IN 5 MINUTES!!!!

gladu [14]

Answer:

d

Step-by-step explanation:

I'll edit my response to tell you why later. it seems like you need this answer now.

5 0

3 years ago

Read 2 more answers

If sin theta=-1/4 and theta terminates in the third quadrant, find the exact value of sin2 theta.

DIA [1.3K]

Answer:

$sin(2\theta)=\frac{\sqrt{15}}{8}$

Step-by-step explanation:

We are given

$sin(\theta)=-\frac{1}{4}$

Firstly, we can draw triangle

angle lies in third quadrant

so, we get

$cos(\theta)=-\frac{\sqrt{15} }{4}$

now, we can use formula

$sin(2\theta)=2sin(\theta)\times cos(\theta)$

now, we can plug values

$sin(2\theta)=2\times -\frac{1}{4}\times -\frac{\sqrt{15} }{4}$

now, we can simplify it

and we get

$sin(2\theta)=\frac{\sqrt{15}}{8}$

7 0

4 years ago

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Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying

Shkiper50 [21]

≈Answer:

a)What is the probability of buying 12 cups that don’t have any defect?

0.1955

b) And what is the probability of getting all 12 cups having a defect?

9.52 × 10⁻¹⁶

Step-by-step explanation:

In the question,we are given the following values:

12% of the 100 cups in stock have some unnoticeable defect.

The number of cups that have defect in stock is calculated as:

12/100 × 100 = 12 cups

The number of cups that doesn't have defect is calculated as:

Total number of cups in stock - Number of cups in stock that have defect.

100 - 12 = 88 cups

a) What is the probability of buying 12 cups that don’t have any defect?

Probability Formula = Number of events/ Number or possible outcomes.

The probability of buying cups that don't have any defect =

88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721

Approximately = 0.1955

b) And what is the probability of getting all 12 cups having a defect?

Probability Formula = Number of events/ Number or possible outcomes.

= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89

= 9.519991996 ×10⁻¹⁶

Approximately = 9.52 × 10⁻¹⁶

3 0

3 years ago

If f(x) = − 5, what is f(8.6)?

julia-pushkina [17]

5 0

3 years ago

Read 2 more answers

In designing an experiment, the researcher can often choose many different levels of the various factors in order to try to find

artcher [175]

Answer:

a) 40 possible combinations

b) 8 possible combinations

Step-by-step explanation:

Given:

- Levels of temperature = 4

- Levels of catalysts = 2

- Levels of pressure = 5

Find:

To consider all possible combinations, how many experiments would need to be conducted?

With the three factors noted, how many experiments would need to be run to cover all possible combinations with each of the three factors at two levels?

Solution:

- We experiment each of the 3 factors to a certain level. So to conduct any experiment we have:

Temperature = 4C1 = 4 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 5C1 = 5 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 4*2*5 = 40 possible combinations

- Similarly if all factors are restricted to two levels only we have:

Temperature = 2C1 = 2 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 2C1 = 2 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 2*2*2 = 8 possible combinations

6 0

3 years ago