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lidiya [134]
4 years ago
6

Drag a reason to each box to complete this proof.

Mathematics
1 answer:
Bond [772]4 years ago
4 0

Given: 5x – 4 + 13x = 5

Combine like terms in the given expression.

⇒ (5x + 13x) – 4 = 5

⇒ 18x – 4 = 5

By addition property of equality, add 4 on both sides to equal to the expression.

⇒ 18x – 4  + 4 = 5 + 4

⇒ 18x = 9

By division property of equality, divide 18 on both sides to equal the expression.

⇒ \frac{18x}{18}=\frac{9}{18}

By symmetric property of equality,  both sides are equal

⇒ x=\frac{1}{2}

Hence, x=\frac{1}{2}.

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Decide if this is a combination or permutation and then answer the question. Minnie has 4 different stamps. She needs 3 to mail
Sergio039 [100]
It is a combination, becasue the order does not matter

C (4,3) = 4! / [3! (4-3)!] = 4

Answer: A and C.




7 0
3 years ago
For finding the circumference of a circle: can an arc determine the circumference of a circle, yes or no
Ivanshal [37]

Answer:

yes , an arc can indeed determine the circumference of a circle

3 0
3 years ago
Determine if the expression 9x^-2 is a polynomial or not. If it is a polynomial, state
Andrej [43]

Answer:

9x⁻²  is not a polynomial

Step-by-step explanation:

A polynomial function is a function that involves non-negative integer powers of x such as a quadratic, cubic etc.

A polynomial is a function written in the form of ;

f{x} =aₙxⁿ+aₙ₋₁xⁿ⁻¹+-------+a₂x²+a₁x+a₀

The degree of a polynomial is the highest power of x in the expression

9x⁻² ----in this case, the power is negative thus this is not a polynomial.

5 0
3 years ago
Read 2 more answers
What is the missing number in the series?<br><br> 1, 16, 81, __, 625, 1296
Alinara [238K]

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

1, 4², 9² , __, 25² , 36²

Difference between first term = 4 - 1 = 3

9 - 4 = 5

x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

6 0
3 years ago
A survey found that​ women's heights are normally distributed with mean 63.2 in. and standard deviation 2.4 in. The survey also
Effectus [21]

Answer: 99.51%

Step-by-step explanation:

Given : A survey found that​ women's heights are normally distributed.

Population mean : \mu =63.2  \text{ inches}

Standard deviation: \sigma= 2.4\text{ inches}

Minimum height = 4ft. 9 in.=4\times12+9\text{ in.}=57\text{ in.}

Maximum height = 6ft. 2 in.=6\times12+2\text{ in.}=74\text{ in.}

Let x be the random variable that represent the women's height.

z-score : z=\dfrac{x-\mu}{\sigma}

For x=57, we have

z=\dfrac{57-63.2}{2.4}\approx-2.58

For x=74, we have

z=\dfrac{74-63.2}{2.4}\approx4.5

Now, by using the standard normal distribution table, we have

The probability of women meeting the height requirement :-

P(-2.58

Hence, the percentage of women meeting the height requirement = 99.51%

8 0
3 years ago
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