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Vitek1552 [10]
3 years ago
7

Hello, could someone answer this question for me please? simplify (1 + i) + (-2 + i).

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:

- 1 + 2i

Step-by-step explanation:

Given

(1 + i) + (- 2 + i) ← remove parenthesis

= 1 + i - 2 + i ← collect like terms

= - 1 + 2i

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7 over 8 devided by 19
Tasya [4]

Answer:

7/152

or 0.046

6 0
3 years ago
A square has an area of 25 cm2. if its perimeter increases by 4 cm, what is its area?
matrenka [14]
If the perimeter of a square with an area of 25cm^2, then the answer is 20cm
7 0
3 years ago
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches
sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

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

-1.645 = \frac{X - 32}{1.5}

X - 32 = -1.645*1.5

X = 29.5

Heights of 29.5 and below could be a problem.

4 0
2 years ago
Which expression is equivalent to -36 – 8?
balandron [24]

Answer:

-36+-8=-44

Step-by-step explanation:

8 0
3 years ago
Please help (photo attached)
ipn [44]
Formula for triangle area = base times height over two. area of smallest triangle: 2*2/2, so 2. area of medium sized triangle: 2*6/2, so 6. the square in between those triangles has an area of four (2*2). the base of the largest triangle is 2+2+6, so 10, and the height is 4. use the formula to find its area is 20. add them all together to get 4+6+4+20 is 34 units^2.
8 0
3 years ago
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