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Shkiper50 [21]
1 year ago
11

-(-(8)))Explain how to answer

Mathematics
1 answer:
GuDViN [60]1 year ago
3 0
-(-(8))

1. Remove the parenthesis using the next rules:

\begin{gathered} -(+)=- \\ -(-)=+ \end{gathered}

2. Start to remove the parentheses from the center to the edges:

-(-(8))=-(-8)=+8=8<h2>Then, the solution is 8</h2>
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Perform the indicated operations. Write the answer in standard form, a+bi.<br> (5 + 6i)(5 - 6i)
lubasha [3.4K]

\boxed{\underline{\bf \: ANSWER}}

\sf \: ( 5 + 6 i ) ( 5 - 6 i )

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}

By definition, i² is -1.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)

Do the multiplications.

\dashrightarrow \sf \: 25-30i+30i+36

Now cancel -30i & +30i

\dashrightarrow \sf \: 25 \:  \bcancel{- 30i}  \:  +  \: \bcancel{30i}+36

Now the equation becomes

\dashrightarrow \sf \: 25 \:  + 36 \\ \dashrightarrow  \boxed{\bf \: 61}

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

5 0
3 years ago
Read 2 more answers
Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will
ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 153, p = 0.62

So

\mu = E(X) = np = 153*0.62 = 94.86

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{97 - 94.86}{6}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

3 0
3 years ago
The diameter of the larger circle is 10.5 cm. The diameter of the smaller circle is 4.5 cm.
blondinia [14]
4.5 / 2 = 2.25cm radius for the smaller circle

3.14 (pi) × 2.25² = 15.89625cm²

10.5 / 2 = 5.25cm radius for the larger circle

3.14 × 5.25² = 86.54625cm²

86.54625 - 15.89625 = <span>70.65cm</span>² 

The answer is 70.7cm².
3 0
2 years ago
Read 2 more answers
It is about 1.62×10⁶ miles from Venus to Earth. It is about 5.4×10⁷ from Earth to Mars. How far is it total from Venus to Earth
Lubov Fominskaja [6]

Answer:

-5.238- 10^{7}

or

Since the exponent of the scientific notation is positive, move the decimal point  6  places to the right.

1620000

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps :)

4 0
2 years ago
X+2(x+y)=7<br> 3(x-y)=1-2y<br><br> What is x&amp;y????<br><br><br><br> Please answer asap!!!!
Shkiper50 [21]
X= -x over 2 (negative x as a fraction and 2 is the denominator) minus y+ (seven as the numerator over 2 as the denominator).
Solve for y by simplify both sides with inverse operations, then isolate the variable and you get,  y = 3x - 1.
4 0
3 years ago
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