The difference between a number p and 6 is -14

A scale model of an object has a scale of 1 cm : 2 ft. The actual object is 11 feet tall. How tall is the model?

AleksAgata [21]

Answer: The model is 69.420 feet tall.

Step-by-step explanation: I asked my teacher.

3 0

3 years ago

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A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me

Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 20 questions, hence $n = 20$ .

Each question has 2 options, one of which is correct, hence $p = \frac{1}{2} = 0.5$

The probability is:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148$

$P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046$

$P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011$

$P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002$

$P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0$

$P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0$

Then:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207$

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

3 years ago

Find the center, vertices, and foci of the ellipse with equation x squared divided by four hundred plus y squared divided by two

vivado [14]

To solve this problem you must apply the proccedure shown below:

1. You have that the equation of the ellipse is the following:

(x²/400)+(y²/256)=1

2. You have that:

((x-0)²/400)+((y-0)²/256)=1

3. Then, the center is:

(0,0)

4. The vertices are:

a²=400
a=√400
a=20

(-20,0)
(20,0)

b²=256
b=√256
b=16

(0,-16)
(0,16)

5. The focci is:

a²–c²=b²
√(400-256)=c
c=12

(-12,0)
(12,0)

5 0

4 years ago

Best estimate of 48% of 60

SSSSS [86.1K]

A very good estimate of 48% of 60 is 30, since 48% is almost half of a number, and 30 is half of 60. When you 60 * 0.48, the real answer is 28.8.

4 0

4 years ago

Please answer this correctly

fenix001 [56]

Answer:

2 hrs and 21 mins I think

Step-by-step explanation:

I subtracted 328-147 and got 181 and since their is 60 mins in one hr I made it another hour and after I subtracted 81-60 and got 21 minutes. 2 hrs and 21 mins. Hope this makes sense.

3 0

4 years ago

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