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Gemiola [76]
2 years ago
8

to solve an equation with a variable which of the following are done? the value of the variable should be guest first inverse op

eration are used the variable needs to be isolated addition is always used select all that apply.
Mathematics
1 answer:
asambeis [7]2 years ago
5 0

9514 1404 393

Answer:

  • inverse operation are used
  • the variable needs to be isolated

Step-by-step explanation:

A solution is always of the form ...

  variable = something

In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).

In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.

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Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

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

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
1 year ago
HELP it's a maths question worth 4 marks
Ksenya-84 [330]

a = 3, b= - 4 and c = - 4

expand the left side using FOIL

(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b

compare the coefficients of expressions on left and right sides.

compare 2ax² + x(2b +a) + b with 6x² - 5x + c

coefficients of x² terms → 2a = 6 ⇒ a = 3

coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4

constant terms c = b = - 4


4 0
3 years ago
Determine which two values the following number is between. A. 12 and 13 B. 13 and 14 C. 15 and 16 D. 14 and 15
nordsb [41]

Answer:

more info pls

Step-by-step explanation:

8 0
2 years ago
This figure is made up of a triangle and a semicircle. What is the area of the figure? Use 3.14 for π . Enter your answer, as a
lana66690 [7]
Area of ∆ = 1/2 times its base × height
=1/2 × 4 × 5 UNIT²
=10 unit²
Area of semicircle = πr²/2
= (3.14)(4)²/2
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Therefore area of figure= 10+25.12 unit² = 35.12 unit²

Hope it helps!
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2 years ago
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mixas84 [53]

Answer:

a = 5 or  a = -5

Step-by-step explanation:

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