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


Related Questions

Help me please, thank you :)​

Answers

Answer:

300 children

Step-by-step explanation:

half hour: 25 children

1 hour: 25×2= 50 children

6 hours: 50×6= 300 children

hope it helps ☺️!

300 kids in 6 hours

HELP ASAP what's the reason for statement 3, WILL GIVE BRAINLIEST​

Answers

Answer:

From prove

Step-by-step explanation:

from prove

Explanation

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

Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd

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

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

Which translation moves point Z so that the whole image is only in quadrant 1 and 2
Captionless Image

Answers

Answer:

I can’t see the picture!

Step-by-step explanation:

Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.

Answers

Answer:

57.00

Step-by-step explanation:

welcome

Answer:

1.80

Step-by-step explanation:

60 x .03=1.80

If xy =1 show that dy/dx=-1/x²​

Answers

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

→   dy/dx = -(1/x)/x = -1/x²

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:

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)

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

The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis

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.

Find the maximum value of the function
f(x) = –22 – 15.9x – 57 to the nearest hundredth.

Answers

8 fishi i ndrysheses se nje numrime 7

i need help with this asap! i will give brainliest!!

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.

this is due in a few hours can yall help me

Answers

Answer:

18%, 34%, 9/25, 0.25

Step-by-step explanation:

36% = 18%

17/50 = 34%

0.18 = 9/25

1/4 = 0.25

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

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

Fine the values of x and y. Please explain .

Answers

.hhdjekekeke kekelekwkwkwkww

Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?

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

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
Line A"C" = —————
2

Answers

Answer: i dont understand the question can you please elaborate

Step-by-step explanation:

I can see the problem sir

HELP I WILL RATE !!!!!!!

Answers

No picture, nothing to rate here.

a(-1, 1)b(1, -2)c(0, -4) rotated 270 degrees by the origin

Answers

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

Does the table represent y as a function of x?

Answers

Answer:

yes

Step-by-step explanation:

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

Helpppppppppppppppppp

Answers

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

PLS HELPPPPP!!!!!!!!!!!!!!!!!!
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

What is 2,356 divided by 27​

Answers

Answer:336.57

Step-by-step explanation:

Answer:

87.259.

Step-by-step explanation:

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

Complete the table to show the number of books she bought or the price she paid
(Put your answers in the Order of a,b,c)

Answers

Answer:

A) $15

B) 8

C) $25

Step-by-step explanation:

hwo wants brainlist?
567x357+65-76=?

Answers

Answer:

Hewo, Mee

202408

Answer:

202408

Step-by-step explanation:

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y- 4x= 6
y- 2x=7
A. No solution
B. More than 1 solution
C. x= 4, y=-2
D. X= -1, y= 1

Answers

48 hdjehddhbeebjehrebbrrbrbfbfbfbfbfnfbf

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...
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