A company's board of directors wants to form a committee of

Which equations show that the set of whole numbers is closed under addition?

leonid [27]

B. 1 + 1 = 2
C. 2 + 0 = 2

4 0

3 years ago

When a composite number is written as a product of prime numbers we call this its what?

Sauron [17]

Prime factorization

5 0

3 years ago

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Assume that random guesses are made for ninenine multiple choice questions on an SAT test, so that there are nequals=99 trials

ValentinkaMS [17]

Answer:

The probability that the number of correct answers is 4 is 0.2461.

Step-by-step explanation:

Let X = number of correct answers.

The probability that an answer is correct is,P (X) = p = 0.50.

The total number of questions is, n = 9.

The event of an answer being correct is independent of the other answers.

The success of each trial is defined as a correct answer with equal probability of success for each trial, i.e. 0.50.

The random variable X follows a Binomial distribution with parameter n = 9 and p = 0.50.

The probability mass function of X is:

$P(X=x)={9\choose x}\times0.50^{x}\times (1-0.50)^{9-x};\ x=0,1,2,3...$

Compute the value of P (X = 4) as follows:

$P(X=4)={9\choose 4}\times(0.50)^{4}\times (1-0.50)^{9-4}$

$=126\times 0.0625\times 0.03125\\=0.24609375\\\approx 0.2461$

Thus, the probability that the number of correct answers is 4 is 0.2461.

5 0

3 years ago

If x - 2 = 13, and x + 65 = 80, what is x?

Ad libitum [116K]

Answer:

15

Step-by-step explanation:

8 0

3 years ago

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Find the value of x. round to the nearest tenth. side length 16. angle 35. view picture below.

andreev551 [17]

Answer:

$\displaystyle x \approx 9.2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 35°

Opposite leg = x

Hypotenuse = 16

Step 2: Solve for x

Substitute in variables [Sine]: $\displaystyle sin35^\circ = \frac{x}{16}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 16sin35^\circ = x$
Rewrite: $\displaystyle x = 16sin35^\circ$
Evaluate trig: $\displaystyle x = 16(0.573576)$
Multiply: $\displaystyle x = 9.17722$
Round: $\displaystyle x \approx 9.2$

3 0

3 years ago