Given a normal distribution with a mean of 120 and a standard deviation of 12, what percentage of values is within the interval 96 to 144

Answers

Answer 1

Answer:

0.9545

Step-by-step explanation:

Given that :

Mean (m) = 120

Standard deviation (s) = 12

what percentage of values is within the interval 96 to 144

P(96 < x < 144)

P(x < 96)

obtain the standardized score (Z) :

Z = (x - m) / s

Z = (96 - 120) / 12 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 144)

obtain the standardized score (Z) :

Z = (x - m) / s

Z = (144 - 120) / 12 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

p(Z < - 2) - p(Z < 2) = 0.97725 - 0.02275 = 0.9545


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Using the graphing function on your calculator, find the solution to the system
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2y- 4x= 6
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Answer:

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Step-by-step explanation:

from prove

Explanation

Two angles are called complementary when their measures add to 90 degrees

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Step-by-step explanation:

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87.259.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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If xy = 1, then differentiating both sides with respect to x gives

x dy/dx + y = 0

(use the product rule)

Solve for dy/dx :

dy/dx = -y/x

Solve the starting equation for y and substitute that into the derivative.

xy = 1   →   y = 1/x

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Answer:

ik that problem gimmie a sec

Step-by-step explanation:

Step-by-step explanation:

since 1 and 2 are same the lines which create 1(g and p) and 2(h and r)

the lines g h and p r shoul be parallel. we also know that g h is parallel which proves that p and r should be parallel as well

Find the maximum value of the function
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Answers

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Answers

Answer:

P(-2,4)

Q(2,5)

R(-1,8)

Step-by-step explanation:

The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.

HELP I WILL RATE !!!!!!!

Answers

No picture, nothing to rate here.

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

2nd

Step-by-step explanation:

The 2nd one is the correct one because it is true and that is the best way to get your solution.

Hope this helps:)

Pls mark brainly

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Answers

.hhdjekekeke kekelekwkwkwkww

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Answers

Answer:

97

Step-by-step explanation:

Angle on a straight line = 180

106 + ∠st = 180

∠st = 180 - 106 = 74

x = ∠st + 23

= 74 + 23

= 97

Answer:

51 degrees

Step-by-step explanation:

This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.

What is the equation of the line that passes through the point (2,0) and has a slope of 5/2

Answers

Answer :

y = 5/2x - 5

Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5/2 , thus
y = 5/2x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = 5/2x - 5 ← equation of line

A reading teacher brought sets of different numbers of books for her class. She paid the same price for each book

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Answers

Answer:

A) $15

B) 8

C) $25

Step-by-step explanation:

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Answers

Answer:

300 children

Step-by-step explanation:

half hour: 25 children

1 hour: 25×2= 50 children

6 hours: 50×6= 300 children

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Answers

Answer:

18%, 34%, 9/25, 0.25

Step-by-step explanation:

36% = 18%

17/50 = 34%

0.18 = 9/25

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hwo wants brainlist?
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Answer:

Hewo, Mee

202408

Answer:

202408

Step-by-step explanation:

Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
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Answers

Answer:

57.00

Step-by-step explanation:

welcome

Answer:

1.80

Step-by-step explanation:

60 x .03=1.80

write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)

Answers

Answer:Find the slope of the original line and use the point-slope formula  

y

y

1

=

m

(

x

x

1

)

to find the line parallel to  

y

=

3

x

+

6

.

y

=

3

x

5

Step-by-step explanation:

A waiter earned a 7% tip. What decimal is equivalent to 7%?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.

Answers

7% in decimal form is 0.07

Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
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Answers

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s

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Answers

Answer:

yes

Step-by-step explanation:

PLEASE HELP. WILL MARK BRAINLIEST. !!50 points!!

Triangle A"B"C" is formed using the translation (x +0, y+ 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line
AC and line A"C"?

A. Line AC
——————- = 2
A"C"

B. Line A" C" 1
————— = —
AC 2

C. Line A"C"
Line AC = —————-
2



D. Line AC
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Answers

Answer: i dont understand the question can you please elaborate

Step-by-step explanation:

I can see the problem sir

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what is 2/5 times 11 in simplest form?

Answers

Answer:

4.4 would you let me know if you need an explanation and pls don't delete.

Hmmmm i think its 5/22

Step-by-step explanation:

So basically how i got it was 2/5*11

And that got me 5/22

I do not think you could simplify this

Either I'm very smooth brain or you can't simplify 5/22

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Answers

use the formula (y,-x)
a: (1,1)
b’(-2,-1)
c’(-4,0)

4x^2+x^3 factorised





How do you do this?...

Answers

Answer:

X²(4+x)

Step-by-step explanation:

You pick out the common term

Greetings.

The answer is x²(4+x)

Explanation:

[tex]4x^2+x^3\\[/tex]

By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.

When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)

Similar to dividing, but we pull x² out.

[tex]4x^2+x^3\\x^2(4+x)[/tex]

Therefore, the answer/factored form is x²(4+x)

Equation for (-2,-5) and (1,-3) in slope-intercept form

Answers

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

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Answers

Answer:

Add 3 to both sides.

2x=9+3

simplify 9+3 to 12

2x=12

Divide both sides by 12

x= 12

     2

simplify

x=12

which equation is equivalent to y= Ax + By = C

Answers

Answer:

slope intercept form

Step-by-step explanation:

that's what ax + by = c is

xoxo, your highness...

A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

Answers

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

[tex]60\:\times 2^{-2}[/tex]

[tex]=60\times \frac{1}{2^2}[/tex]             ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=\frac{1\times \:60}{2^2}[/tex]

[tex]=\frac{60}{2^2}[/tex]

[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]

[tex]=3\times \:5[/tex]

[tex]=15[/tex] gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

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