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4 years ago

What’s the value for X?

Mathematics

1 answer:

jolli1 [7]4 years ago

6 0

Answer: x = 5

Step-by-step explanation: This is an isosceles triangle, which means two sides are equal in length and two angles are equal in measurement.

Line BA = Line BC

Similarly, Angle A = Angle C

Angle A plus Angle C equals 146°

Also the sum of the interior angles of a triangle is 180°

Therefore, 146 + (6x + 4) = 180

Subtract 146 from both sides of the equation

6x + 4 = 34

Subtract 4 from both sides of the equation

6x = 30

Divide both sides of the equation by 6

x = 5

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A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

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

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

3 years ago

Jamal went to the post office to buy stamps and large envelopes. Each stamp costs the same amount, and each large envelope costs

nekit [7.7K]

Answer:

Step-by-step explanation:

i chose .95 cents!

6 0

3 years ago

The wheel on a car completes

mars1129 [50]

Answer:

Step-by-step explanation:

Let d be the diameter of the wheel.

Circumference = πd

(35.325 m)/(25 revolutions) = (1.413 m)/revolution

πd = 1.413

d = 1.413/π = 0.45 m

4 0

3 years ago

F(x)=-3x2 – 3x<br> Find the function

Lubov Fominskaja [6]

Answer:

x=-2

Step-by-step explanation:

branliest pls

3 0

4 years ago

Read 2 more answers

Solve the equation.9x^2 + 16 = 0

REY [17]

Step 1

Given;

$9x^2+16=0$

Required: To solve the equation.

Step 2

Solve the equation

$\begin{gathered} 9x^2+16-16=0-16 \\ 9x^2=-16 \\ \frac{9x^2}{9}=\frac{-16}{9} \\ x^2=-\frac{16}{9} \\ \sqrt{x^2}=\pm\sqrt{\frac{-16}{9}} \\ x=\sqrt{-\frac{16}{9}},\:x=-\sqrt{-\frac{16}{9}} \\ x=i\frac{4}{3},\:x=-i\frac{4}{3} \end{gathered}$

Answer;

$x=\frac{4}{3}i,\text{ -}\frac{4}{3}i$

4 0

1 year ago