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3 years ago

What are the domain, range, and asymptote of h(x) = 2x + 4?

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

$y=2x+4\\\\The\ domain:x\in\mathbb{R}\\\\The\ range:y\in\mathbb{R}\\\\The\ asymptote:no\ exist$

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

I’m actually so dumb!!!<br> How???<br> Answer???

Pani-rosa [81]

Standard form: 2x - 16 = 0

Factorization: 2(x - 8) = 0

Solutions: x = 16/2 = 8

Hope this helps!

6 0

3 years ago

Read 2 more answers

Suppose a politician sent out 860 surveys. Which of these numbers of

sladkih [1.3K]

Answer:

860

Step-by-step explanation:

A non-response bias would mean that there are some non-response surveys, which will create a bias in the survey results. Because the survey didn't include information from those who are not responded.

If there will be 860 surveys back, this would prevent non-response bias

7 0

3 years ago

An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that,

77julia77 [94]

Answer:

0.9595724

Step-by-step explanation:

Time taken to wash a car (μ) = 5 minutes

Hence, Number of cars washed per hour = 60/5 = 12 cars

If 5 cars arrive, 30 minutes to closing ; it takes 25 minutes to finish up ;

If 1 more car arrives, then it takes exactly 30 minutes

Hence, there will be no one in line at closing ;

IF 0 or 1 car arrives, if more than 1 car arrives, then there will be people in line at closing.

Hence, probability of waiting in line at closing :

1 - [p(0) + p(1)]

Using poisson :

P(x) = [(e^-μ) * (μ^x)] / x!

If x = 0

P(0) = [(e^-5) * (5^0)] / 0!

P(0) = (0.0067379 * 1) / 1

P(0) = 0.0067379

X = 1

P(1) = [(e^-5) * (5^1)] / 1!

P(0) = (0.0067379 * 5) / 1

P(0) = 0.0336897

Hence,

1 - (0.0067379 + 0.0336897)

1 - 0.0404276

= 0.9595724

Hence, the probability that anyone would be in the car washing line after closing is 0.9595724

4 0

2 years ago

Help ASAP, will give BRAINLIEST

vlada-n [284]

Answer:

B: 39 degrees

Step-by-step explanation: The angles in a triangle add up to 180 degrees. 180 - 30 - 24 = 126.

126 = (3x-9).

126 - 9 = 117.

117 / 3 = 39

4 0

2 years ago

Read 2 more answers