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Fofino [41]
3 years ago
9

How do I solve this equation: (3+2i)+(2+bi)=5-4i

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0
(3+2i)+(2+bi)=5-4i

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Mr. Sprocket borrows $3,500 from his bank to buy a used car. The loan has a 7.4% annual simple interest rate. If it takes Mr. Sp
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the correct answer is $4018


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3 years ago
What is the quotient of -8a^8b^-2/ 10a^-4b^-10 in simplified form?
postnew [5]

Here are a few rules with exponents that you need to know:

  1. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}

For this, divide:

\frac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=\frac{-8}{10}a^{8-(-4)}b^{-2-(-10)}=-\frac{4}{5}a^{12}b^8

<u>Your final answer is -\frac{4}{5}a^{12}b^8</u>

7 0
3 years ago
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On a​ map, 1 inch equals 25 miles. Two cities are 9 inches apart on the map. What is the actual distance between the​ cities?
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225 miles

Step-by-step explanation:

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3 years ago
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Which situation can be represented by the expression -2-5−2−5minus, 2, minus, 5?
pychu [463]

The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

<h3>How to determine the situation?</h3>

The expression is given as:

2 - 5

When the expression illustrates change in temperature, the interpretation can be:

An initial temperature of 2°C decreases by 5°C

Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

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6 0
2 years ago
In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 71 and a stan
kumpel [21]

Answer:

The lowest score on the final exam that would qualify a student for an​ A is 80.

The lowest score on the final exam that would qualify a student for a B is 74.68.

The lowest score on the final exam that would qualify a student for a C is 67.33.

The lowest score on the final exam that would qualify a student for a​ D is 62.

Step-by-step explanation:

When the distribution is normal, we use 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.

Mean of 71 and a standard deviation of 7.

This means that \mu = 71, \sigma = 7

Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's.

This means that:

90th percentile and above: A

70th percentile and below 90th: B

30th percentile to the 70th percentile: C

10th percentile to the 30th: D

Lowest score for an A:

Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

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

1.28 = \frac{X - 71}{7}

X - 71 = 7*1.28

X = 80

The lowest score on the final exam that would qualify a student for an​ A is 80.

Lowest score for a B:

70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.

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

0.525 = \frac{X - 71}{7}

X - 71 = 7*0.525

X = 74.68

The lowest score on the final exam that would qualify a student for a B is 74.68.

Lowest score for a C:

30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.

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

-0.525 = \frac{X - 71}{7}

X - 71 = 7*(-0.525)

X = 67.33

The lowest score on the final exam that would qualify a student for a C is 67.33.

Lowest score for a D:

10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

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

-1.28 = \frac{X - 71}{7}

X - 71 = 7*(-1.28)

X = 62

The lowest score on the final exam that would qualify a student for a​ D is 62.

4 0
3 years ago
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