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3 years ago

What is the magnitude of -3 +4i?

Mathematics

1 answer:

Goshia [24]3 years ago

6 0

Answer:

we have

-3+4i

let magnitude be |z|

|z|= $\sqrt{( - 3) {}^{2} + 4 {}^{2} }$

|z|=5 unit

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8. Jordyn bought a $50 cell phone case that was discounted 15%. Taxes were 5%. What was her total

shepuryov [24]

$50 x .15% = $7.50

$50 - $7.50 = $42.50

$50 x .05% = $2.50

$42.50 + $2.50 = $45

Answer : $45

3 0

3 years ago

The sum of two numbers is 25 and their quotient is 4

insens350 [35]

Answer:

20 and 5

Step-by-step explanation:

20+5=25

20÷5=4

7 0

3 years ago

Seventy-eight times n is at least 312. write your solution in interval notation

miv72 [106K]

78n > 312
n > 312/78
n > 4

[4, infinity)

Use a closed bracket [ for 4 because I can equal exactly 4 when we plug in to get 312

7 0

3 years ago

Consider the pyramid below:<br> 12 cm<br> 15 cm<br> What is the length of a ?

DedPeter [7]

[surface area of the square pyramid]=area of the base+4*[area of one lateral triangle]

area of the base=12²----> 144 cm²

area of one lateral triangle=b*h/2
b=12 cm
h=slant height -----> 15 cm
area of one lateral triangle=12*15/2-----> 90 cm²

[surface area of the square pyramid]=144+4*[90]----> 504 cm²

the answer is
the surface area of the square pyramid is 504 cm²

5 0

3 years ago

A research center project involved a survey of 851 Internet users. It provided a variety of statistics on Internet users. (a) Th

kotykmax [81]

Answer:

The answer is "(0.9193924 , 0.9206076)".

Step-by-step explanation:

$\text{sample proportion}\ (SP) = 0.92\\\\\text{sample size}\ n = 851\\\\\text{Standard error} \ SE = \sqrt{\frac{(SP \times(1 - SP)}{n})}\\\\$

$= \sqrt{\frac{(0.92 \times (0.08)}{851})}\\\\= \sqrt{\frac{0.0736}{851}}\\\\= \sqrt{8.648\times 10^{-5}}\\\\=0.00031$

$\text{CI level is}\ 95\% \\\\\therefore\\\\ \alpha = 1 - 0.95 = 0.05\\\\\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\ Z_c = Z_{(\frac{\alpha}{2})} = 1.96$

Calculating the Margin of Error:

$ME = z_{c} \times SE\\\\$

$= 1.96 \times 0.00031\\\\ = 0.0006076$

$CI = (SP - z*SE, SP + z*SE)$

$= (0.92 - 1.96 * 0.00031 , 0.92 + 1.96 * 0.00031)\\\\ = (0.92 - 0.0006076 , 0.92 + 0.0006076)\\\\= (0.9193924 , 0.9206076)$

8 0

3 years ago