Someone please help me I need help!!

Geometry question 14

aksik [14]

Answer:

b 125

Step-by-step explanation:

4 0

3 years ago

What is the answer for 1/4 ( 12x + 24 ) -9x

Gekata [30.6K]

The final expression is $-6x+6$

Step-by-step explanation:

The expression that we have is

$\frac{1}{4}(12x+24)-9x$

In order to solve the expression, we start by applying the distributive property to the bracket. We get:

$\frac{1}{4}\cdot 12x + \frac{1}{4}24 -9x$

Simplifying,

$3x+6-9x$

Now we add the two terms in x, and we find:

$(3x-9x)+6=\\-6x+6$

Which is the final expression.

Learn more about expressions:

brainly.com/question/11207748

#LearnwithBrainly

3 0

3 years ago

Is this expression a monomial, binomial, or trinomial?

Verdich [7]

C. monomial because xy is only one number and not two.

8 0

4 years ago

If x varies inversely as y, and x=27 when y=6 find x when y=2

kondaur [170]

For this case we have that the inverse variation is defined as:

$y = \frac {k} {x}$

Where:

k: It is the constant of proportionality

According to the statement we have:

$x = 27\\y = 6\\6 = \frac {k} {27}$

We find the constant of proportionality:

$k = 27 * 6\\k = 162$

Then we find the value of x when $y = 2$ :

$2 = \frac {162} {x}\\x = \frac {162} {2}\\x = 81$

Answer:

$x = 81$

7 0

4 years ago

Qualification exams for becoming a state-certified welding inspector are based on multiple-choice tests. As in any multiple-choi

erik [133]

Answer:

(a) The probability distribution of the random variable X is Binomial.

(b) The mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c) The value of x is 0.34.

Step-by-step explanation:

The random variable X is defined as the number of correct answers given by a person who is guessing each answer on a 25-question exam.

There are five possible answer for every question.

This implies that the probability of getting a correct answer is:

P (X) = 0.20.

There are a total of n = 25 questions.

Every answer is independent of the others.

(a)

The random variable X has finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable X is Binomial with parameters n = 25 and p = 0.20.

(b)

Compute the mean of the random variable X as follows:

$E(X)=np\\=25\times 0.20\\=5$

Compute the standard deviation of the random variable X as follows:

$SD(X)=\sqrt{np(1-p)}\\=\sqrt{25\times 0.20\times (1-0.20)}\\=2$

Thus, the mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c)

The sample is large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 5

2. n(1 - p) ≥ 5

Check the conditions as follows:

$np=25\times 0.20=5=5\\\\n(1-p)=25\times (1-0.20)=20>5$

Thus, a Normal approximation to binomial can be applied.

So, $X\sim N(5, 2^{2})$

It is provided that the minimum passing score foe the test is such that only 1% of students who are guessing will pass the test.

That is P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The value of z is -2.33.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\-2.33=\frac{x-5}{2}\\\\x=5-(2.33\times 2)\\\\x=0.34$

Thus, the value of x is 0.34.

4 0

4 years ago