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3 years ago

6.

Mathematics

2 answers:

Vitek1552 [10]3 years ago

5 0

Associative Property of Addition

Mamont248 [21]3 years ago

3 0

Answer: The correct option is (C) Associative Property of Addition.

Step-by-step explanation: We are given to name the property that the following equation illustrates:

$-5+(8+10)=(-5+8)+10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

a = -5, b = 8 and c = 10.

Then, equation (i) becomes

$-5+(8+10)=(-5+8)+10\\\\\Rightarrow a+(b+c)=(a+b)+c,$

which is the associative property of addition for the real numbers a, b and c.

Thus, the given equation illustrates the associative property of addition.

Option (C) is CORRECT.

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I can’t remember what distributive property is.

CaHeK987 [17]

The distributive property is a special way where multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as:

a(b + c) = ab + ac.

Does this help in any way?

4 0

3 years ago

Read 2 more answers

How to find the derivative of a fraction without using the quotient rule?

Eddi Din [679]

Hello,

(u/v)'=(u*v^(-1))'=u'*v^(-1)+u*(-1)*v^(-2)*v'=u'/v-u*v'/v²=(u'v-uv')/v²

6 0

4 years ago

Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?

Kruka [31]

Answer: $\sqrt{32}$

Step-by-step explanation:

Assuming the described expression is:

$(2^{\frac{1}{2}} 2^{\frac{3}{4}})^{2}$

Since we have the same base, we can add the exponents:

$(2^{\frac{5}{4}})^{2}$

Multiplying the exponents:

$2^{\frac{10}{4}}$

Simplifying the fraction in the exponent:

$2^{\frac{5}{2}}=\sqrt{2^{5}}$

Finally the expression is equivalent to:

$\sqrt{32}$

4 0

4 years ago

Read 2 more answers

A quiz consists of 10 true or false questions. To pass the quiz a student must answer at least eight questions correctly.

lys-0071 [83]

Answer:

The probability of the student will pass the quiz = .0546

Step-by-step explanation:

Given -

Total no of question = 10

If the student guesses on each question there are two outcomes true of false

the probability of guesses question correctly = $\frac{1}{2}$

the probability of success is (p) = $\frac{1}{2}$

the probability of guesses question incorrectly = $\frac{1}{2}$

the probability of failure is (q) = 1- p = $\frac{1}{2}$

If the student guesses on each question he must answered at least 8 question correctly

the probability of the student will pass the quiz = $P(X\geq8 )$

= P(X = 8 ) + P(X = 9) + P(X = 10 )

= $\binom{10}{8}(p)^{8}(q)^{10 - 8} + \binom{10}{9}(p)^{9}(q)^{10 - 9} + \binom{10}{10}(p)^{10}(q)^{10 - 10}$

= $\frac{10!}{(2!)(8!)}(\frac{1}{2})^{8}(\frac{1}{2})^{10 - 8} +\frac{10!}{(1!)(9!)} (\frac{1}{2})^{9}(\frac{1}{2})^{10 - 9} + \frac{10!}{(0!)(10!)}(\frac{1}{2})^{10}(\frac{1}{2})^{10 - 10}$

= $45\times\frac{1}{2^{10}} + 10\times\frac{1}{2^{10}} + 1\times\frac{1}{2^{10}}$

= $\frac{56}{2^{10}}$

= .0546

5 0

3 years ago

Granola bars are sold in three packs which cost $2.34. Which equation represents the proportional relationship between b the num

Elena L [17]

Okay gotcha. i missed the three packs info. answer is option C

because 3 choclates cost 2.34 so one will cost 2.34/3 = .78

so cost willbbe given as

c = 0.78b

i missed the "three pack " info in first time. sorry

7 0

4 years ago