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3 years ago

About ______% of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? How do you solve this?

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

Answer:

68%

Step-by-step explanation:

68-95-99.7% Rule:

This is the empirical rule which is used to remember the percentage of values that is within a band of the mean. We say:

68% of the data fall within 1 standard deviation of the mean
95% of the data fall within 2 standard deviation of the mean, and
99.7% of data falls within 3 standard deviations of the mean

Clearly, from the empirical rule, we see that about 68% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean)

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Evaluate log 2 base 8

iren2701 [21]

Answer: The correct answer is: " 3 " .

_______________________________

Step-by-step explanation:

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The problem given is:

_______________________________

Evaluate: log 2 base 8 .

_______________________________

Rewrite as: " $log_2}8 = ? _______________$ " ; $log_2}8 = ? _______________$

_______________________

Take note of the following definition of a logarithm:

_______________________

" $log_{m}n = a$ " ; ↔ " $m^{a} =n$ " ;

_______________________

in which: $m$ refers to the "base" ;

$n$ refers to the "argument" ;

$a$ refers to the "exponent" ;

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As such:

" $log_2}8 = ? _______________$ "

⇔ " $2^{x} = 8$ " ; Solve for "x" ;

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Note:

2⁰ = 1 ;

2¹ = 2 ;

2² = 2 * 2 = 4 ;

2³ = 2 * 2 * 2 = 8 .

___________________

→ " $2^{x} = 8$ " ;

→ " $2^{3} = 8$ " ; since: " $2^{3} = 2 *2 *2 = 8$ " ;

→ as such: " x = 3 " ;

______________________

Thus:

"log 2 base 8 " ;

= $log{_{2}}8 = 3$ .

_______________________

Hope this helps!

Best wishes to you!

3 0

3 years ago

What system of equation represents this situation?

Mashutka [201]

Answer:

It's choice A.

Step-by-step explanation:

Kevin is 3 years older than Daniel gives:

k = d + 3.

2 years ago kevin is aged k - 2 and daniel d - 2 years.

So:

k - 2 = 4(d - 2).

8 0

4 years ago

describe the correct error a student made when solving the equation 4=-2(x-3) what is the correc scolution?

Free_Kalibri [48]

Answer:

x =1

Step-by-step explanation: Correct solution

$4=-2(x-3) \\\\\mathrm{Switch\:sides}\\-2\left(x-3\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x-3\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x-3=-2\\x-3+3=-2+3\\\\Simplify\\x = 1$

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3 years ago

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75 with the ground. The height of the

GuDViN [60]

You don't say if the answer needs to be rounded
the height is 77.27 meters ( not rounded)

see attached picture for solution:

6 0

3 years ago

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Your utility company charges 12 cents per kilowatt-hour of electricity. How much does it cost to keep a 150-watt light bulb on f

yan [13]

Answer:

5 x 75 = 375w (5 bulbs added up) 1.5 x 375 = 562.5w (running for an hour and a half) 562.5/1000 x 10 = 5.525 cents. 1 Kwh is 1000w running for 1 hour.

Step-by-step explanation:

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3 years ago

About​ ______% of the area is between z= -1 and z= 1 ​(or within 1 standard deviation of the​ mean)? How do you solve this?

About ______% of the area is between z= -1 and z= 1 (or within 1 standard deviation of the mean)? How do you solve this?