1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ivahew [28]
3 years ago
12

if a normal distribution has a mean of 132 and a standard deviation of 20 what is the value that has a z score of 1.8?

Mathematics
2 answers:
klasskru [66]3 years ago
3 0

Answer:

168 = x

Step-by-step explanation:

mean  = u=132

standard deviation =sigma = 20

z score =z=1.8

The formula is

z = (x-u)/ sigma

Substituting what we know

1.8 = (x-132)/20

Multiply by 20

1.8*20 = (x-132)/20 *20

36 = x-132

Add 132 to each side

36+132 = x-132+132

168 = x

Alik [6]3 years ago
3 0

Multiply the standard deviation by the z-score and add that to the mean:


Value = 132 + (20*1.8) = 132 + 36 = 168

The value would be 168.

You might be interested in
A submarine has a radius of 920 meters and a height of 85 meters. Find the volume of the submarine.
Svetlanka [38]

Answer:

V = 71944000pi

Step-by-step explanation:

V = 226,018,741.869864

The approximate volume of this cylindrical sub is 226,018,741.869864 cubic meters

5 0
3 years ago
Read 2 more answers
Need help with both of these please!! ASAP
Alik [6]

x = 1

Answer:

m\angle XVW = 100\degree

Step-by-step explanation:

In the first figure, FP is the bisector of \angle DFE

\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}

In the second figure, VP is the bisector of \angle XVW

\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x  = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

8 0
3 years ago
Which of the following correctly completes the square for the equation
sveticcg [70]
The answer will be B
4 0
2 years ago
A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>
6 0
3 years ago
The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow
Reika [66]
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now    \bf \begin{cases}&#10;A=l\cdot w\\\\\&#10;A=3000000\\&#10;----------\\&#10;3000000=l\cdot w\\\\&#10;\frac{3000000}{w}=l&#10;\end{cases}\qquad thus&#10;\\\\\\&#10;P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}&#10;\\\\\\&#10;P=3w+6000000w^{-1}\\\\&#10;-----------------------------\\\\&#10;now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}&#10;\\\\\\&#10;\textit{so the critical points are at }&#10;\begin{cases}&#10;0=w^2\\\\&#10;0=\frac{3w^2-6000000}{w^2}&#10;\end{cases}

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the 0=w^2\implies 0=w   so.  you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0
3 years ago
Other questions:
  • 2,5,8,11,14 write down in terms of n , an expression for the nth term for this sequence
    10·1 answer
  • 32.76 is what percent of 10.5
    14·2 answers
  • A survey of 73 students found that 37% were in favor of raising tuition to pave new parking lots. The standard deviation of the
    11·1 answer
  • What are the factors of x2 – 4x – 5? Check all that apply.
    12·2 answers
  • What's the answer for 99 help
    10·1 answer
  • BRAINLIEST TO RIGHT ANSWER!
    13·2 answers
  • If a 4.0 cm X 5.5 cm photo is enlarged so that is length is 8.5 what s the new width?
    11·1 answer
  • Solve: 4x – 6 = 42 <br> A)9 <br> B)8 <br> C)63 <br> D)12
    8·2 answers
  • Which of the functions below have period pie check all that apply
    9·1 answer
  • Find the distance between the points (-6,-4) and (-6,-18)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!