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2 years ago

What is the square root of -1 - 6 in the form a + bi?

Mathematics

1 answer:

laila [671]2 years ago

3 0

Answer:

Step-by-step explanation:

Since i is equal to the square root of -1, all we have to do is add i to -6 and that will get us to -7

Hope this helps

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94÷4≈

Tanya [424]

Answer:

ok, te ayudaré

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I hope it serves you, give me a crown please

7 0

2 years ago

- 16 = -4(-5+ i) Please help i can’t fail this test

Simora [160]

Answer: i=9

Step-by-step explanation:

-16=-4(-5+i)

-16=20-4i

-20 -20

-36=-4i

Divide by -4

i=9

7 0

2 years ago

Read 2 more answers

Find AB I need help !

xxMikexx [17]

9514 1404 393

Answer:

d. AB = 54

Step-by-step explanation:

The triangle is isosceles, so AB = AC.

(4x +6) = (5x -6)

12 = x . . . . . . . . . . . . add 6-4x to both sides

Then the length of AB is ...

AB = 4x +6 = 4(12) +6 = 48 +6

AB = 54

8 0

3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de

suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 5.72, \sigma = 0.07$

Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

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

$1.645 = \frac{X - 5.72}{0.07}$

$X - 5.72 = 1.645*0.07$

$X = 5.84$

Bottom 5%:

X when Z has a pvalue of 0.05. So X when Z = -1.645

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

$-1.645 = \frac{X - 5.72}{0.07}$

$X - 5.72 = -1.645*0.07$

$X = 5.60$

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

7 0

3 years ago

Read 2 more answers

Find 2 numbers who product is 15 and sum is 16.

Marizza181 [45]

Answer:

15 and 1

Step-by-step explanation:

x and y are two numbers.

Two equations:

x · y = 15

x + y = 16

Rearrange one of the equations (I'll rearrange the sum equation):

x + y = 16

x = 16 - y

Substitute that to the other equation and solve for y:

x · y = 15

(16 - y) · y = 15

16 - y · y = 15

16 - y² = 15

-y² = 15 - 16

-y² = -1

y² = 1

y = √1

y = 1

Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):

x · y = 15

x · 1 = 15

x = 15

Now verify:

15 · 1 = 15

15 + 1 = 16

This is correct

6 0

3 years ago