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klasskru [66]
2 years ago
11

I need help on this question ​

Mathematics
2 answers:
Anna [14]2 years ago
4 0
In order for x to be alone first you have to add 4 to both sides(which would cancel out -4) making it 2x=22 now you have to divide 2 from both sides making it x=11 so for the operations used I am sure it’s addition and division. Hope that helped!
Musya8 [376]2 years ago
3 0
1. added four to both sides
2. divided both sides by two
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The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard
zvonat [6]

Answer:

a) 0.59871

b) 0.22663

e) 0.95994

Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

This means x > 64

Hence,

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x<64) = 0.40129

P(x>64) = 1 - P(x<64) = 0.59871

b.) shorter than 62 inches

Hence,

62 - 65/4

=- 3/4 =- 0.75

P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

For 68 inches

Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

e.) taller than 58 inches

Hence,

58 - 65/4

= -6/4 = -1.5

P-value from Z-Table:

P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

7 0
3 years ago
A colony of bacteria has 10,000 bacteria and is growing exponentially. The inequality 10,000(4x) ≥ 320,000 represents the hours,
dexar [7]

Answer:

A [2.5, ∞)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
In a race, if my time beat your time by 12 fewer seconds than my time beat Pat's time, then your time beat Pat's time by
Margarita [4]
I'm pretty sure its b

6 0
2 years ago
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Which situation is best represented by the following equation?
Gennadij [26K]

Answer:

D

Step-by-step explanation: because W in the equation is the number of weeks she paid for the self defense class. and the 12.50 would be the registration fee because that  is added on top of the number of 40w.

40w + 12.50 = 492.50

         -12.50       -12.50

40w = 480.00

w = 12 which is how many weeks she paid

5 0
3 years ago
Look at the image. (calculus)
mash [69]
<h3>Answer: Choice H)  2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is \sin^2 x + \cos^2x = 1

If we were to isolate sine, then,

\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, \cos x = \sqrt{1-\sin^2x}\\\\

Cosine is also positive in this quadrant.

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

So,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2

Therefore,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2

is an identity as long as 0 < x < pi/2

5 0
2 years ago
Read 2 more answers
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