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Alexus [3.1K]
3 years ago
5

Find all solutions of e^(e^z)=1

Mathematics
1 answer:
den301095 [7]3 years ago
8 0
Start by reviewing your knowledge of natural logarithms. If we take the ln of both sides we get e^z=ln(1). Do the same thing again and wheel about the ln(ln(1)). There's going to be complex solutions, Wolfram Alpah gets them but let me know if you figure out how to do it?
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Find the interquartile range (IQR) for the following data set:
german
The interquartile range is 5!

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8 0
3 years ago
Can please someone help me out and explain it step by step. Thank you
Anit [1.1K]

Answer:x=7, \ y=-2

Step-by-step explanation:

Given

Equations are 3x-y=23 and 2x+3y=8

take 3x-y=23

y=3x-23

Put the value of y in another equation

\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7

Put the value of x in y

y=3(7)-23=21-23=-2

Hence, x=7, \ y=-2

7 0
3 years ago
15% of 95? and 3 1/2% of 100?
NISA [10]

Answer:

15% of 95-14.25

3 1/2% of 100-3.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if
Tom [10]

The expected value of the game is $8.75.

----------------------

  • The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

  • The probability of spinning a 2 and a vowel is: \frac{1}{4} \times \frac{2}{8} = \frac{2}{32}.
  • Thus, \frac{2}{32} probability of getting $50.

  • The probability of spinning 2 and a consonant is: \frac{1}{4} \times \frac{6}{8} = \frac{6}{32}
  • Thus, \frac{6}{32} probability of getting $25.

  • The probability of spinning 1 and a vowel is: \frac{3}{4} \times \frac{2}{8} = \frac{6}{32}.
  • Thus, \frac{6}{32} probability of getting $5.

  • 32 - (6 + 6 + 2) = 18, thus, \frac{18}{32} probability of earning $0.

The expected value is:

E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)

E = \frac{100 + 150 + 30}{32}

E = \frac{280}{32}

E = 8.75

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

8 0
3 years ago
A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall
Volgvan

Answer:

The volume of the pill is V=452\ mm^{3}

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

so

we have

V=\frac{4}{3}\pi r^{3}+\pi r^{2}h

r= (18-12)/2=3\ mm\\ h=12\ mm

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}

8 0
3 years ago
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