Students who have completed a speed reading course have reading speeds that are normally distributed with a mean of 950 words per minute and a standard deviation equal to 220 words per minute. Based on this information, what is the probability of a student reading at more than 1400 words per minute after finishing the course

Answers

Answer 1

Answer:

0.020405

Step-by-step explanation:

We solve this question, using z score formula.

z-score formula =

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the above question:

x = 1400, μ = 950, σ = 220

z = 1400 - 950/220

z = 2.04545

Determining the probability from Z-Table:

P(z = 2.04545) = P(x<1400) = 0.97959

P(x>1400) = 1 - P(x<1400)

= 1 - 0.97959

= 0.020405

Therefore, the probability of a student reading at more than 1400 words per minute after finishing the course is 0.020405


Related Questions

SHOW WORK !!! ILL GIVE YOU BRAINLIST !!!

Answers

Answer:

35y

Step-by-step explanation:

4 by the 5 power is 20

20 - 6 cause the 6 is negative but you could say 20 +-6 you'll still have to subtract

8 by the 2 power =16

then you take the plus sign and you add 20 + 16 = 36

then it says -1 for y

so you take out 1y

then that leave you with 35y

Answer:

Step-by-step explanation:

4(1)^5 - 6(1) + 8(1)^2 - 1

4 - 6 + 8 - 1

-2 + 8 - 1

6 - 1 = 5

What time do you wake up? Is it Quantitative data or categorical data?

Answers

Answer:Quantitative data

Step-by-step explanation:

Answer:

Quantitative data

*YELLS* Have A GOOD DAY SIR *SLAMS DOOR*lol I watch way to much Willy Wonka

|6x|+3=21 solve for X (absolute value)​

Answers

Answer:

[tex]x=3\text{ or } x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|6x|+3=21[/tex]

First, subtract 3 from both sides:

[tex]|6x|=18[/tex]

Definition of absolute value:

[tex]6x=18\text{ or } 6x=-18[/tex]

Divide both sides by 6 for both equations:

[tex]x=3\text{ or } x=-3[/tex]

And we're done!

Answer:

[tex]x=3[/tex] and [tex]x=-3[/tex]

Step-by-step explanation:

[tex]\left|6x\right|+3=21\\[/tex]

Subtract 3 to both sides:

[tex]\left|6x\right|+3-3=21-3\\|6x|=18[/tex]

Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.

Thus,

Case 1:

[tex]6x=18[/tex]

Divide both sides by 6:

[tex]x=3[/tex]

Case 2:

[tex]6x=-18[/tex]

Divide both sides by 6:

[tex]x=-3[/tex]

Can you please help me with this

Answers

Answer:

im not sure on that one sorry

Step-by-step explanation:

Answer:

Q = 110

ST = 9

Step-by-step explanation:

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v>=2i-4tj^
. Find
A. The vector position of the particle at any time t,
B. The acceleration of the particle at any time t,​

Answers

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

[tex]d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j[/tex]

B )

Acceleration a is given by :

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j[/tex]

Hence , this is the required solution .

If you cannot see the pic:

Points A,B, and C are collinear. Point B is between A and C. Find the length indicated.
BC = x + 15, AC = 14, and AB = x + 7.
Find AB

a) 4
b) 5
c) 3
d) 6​

Answers

Answer:

A. 3

Step-by-step explanation:

Given,

[tex] BC = x + 15 [/tex],

[tex] AC = 14 [/tex]

[tex] AB = x + 7 [/tex], since A, B, and C are collinear, therefore, based on the segment addition postulate:

[tex] AB + BC = AC [/tex].

Thus, substituting the values into the equation, we have:

[tex] (x + 7) + (x + 15) = 14 [/tex]

Solve for x.

[tex] x + 7 + x + 15 = 14 [/tex]

[tex] 2x + 22 = 14 [/tex]

Subtract 22 from both sides

[tex] 2x = - 8 [/tex]

Divide both sides by 2

[tex] x = -4 [/tex]

[tex] AB = x + 7 [/tex]

Plug in the value of x

[tex] AB = -4 + 7 = 3 [/tex],

Please and thank you!

Answers

Answer:

b

Step-by-step explanation:

Write an equation in slope-intercept form that passes through the point (3,7) and has a y-intercept of 4

Answers

Answer:

Step-by-step explanation:

(0, 4) (3, 7)

(7 - 4)/(3-0) = 3/3 = 1

y - 1 = x - 0

y = x + 1

Four hundred and seventy three thousand as a value of digits

Answers

473,000 that is the core answer

Answer:

473,000

Step-by-step explanation:

:D

What is an equation of the line that passes through the points (5,8) and (5,3)

Answers

Answer:

X= 5

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.

Hope this helps!

The area of a square is numerically 60 more
than the perimeter. Find the length of the side.
A) 200 units B) 10 units
C) 50 units D) 40 units
Step by Step for this please.
Thank you, have a nice day.

Answers

Answer:

B) 10 units

Step-by-step explanation:

Area of a square is A = s², and perimeter of a square is P = 4s.

A = P + 60

s² = 4s + 60

s² − 4s − 60 = 0

(s + 6) (s − 10) = 0

s = -6 or 10

Since s can't be negative, s = 10 units.

Need help please and other questions

Answers

Answer: Gear 14 or 14.3

Step-by-step explanation:

please see image above. can someone please explain how C and E are correct? i don’t understand because i thought it was B. tysm

Answers

Step-by-step explanation:

All u have to is subject t from that formula.

D=C( 1 + rt/100)

D/C = 1+ rt/100

D/C - 1 = rt/100

So,

When u multiply the equation by 100 and divide by r it will be as follows.

(D/C -1)100/r = t

It is the answer C.

And now to get the answer E,

we have the equation as t = (D/C-1) 100/r

First solve what inside the bracket.

D/C - 1

D/C - C/C

(D-C)/C

So when u put that to the above,

t= (D-C/C) 100/r

Now all u have to do is just multiply

t= 100(D-C) / Cr

A carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs
179 lb, how much wool is in the carpet?
Ib

Answers

Answer: 134.25 lb of wool in the carpet

Step-by-step explanation:

You must find 75% of the total weight.

FIND THE RATE


PLSSSS HELPP ASSPPPP!!!!

Answers

Answer:

13

Step-by-step explanation:

26/2

39/3

78/6

130/10

146/12

All = 13

Answer: 13

Step-by-step explanation:

26/2

Simplify the expression of 23+4(x+2)

Answers

Answer:

31+4x

Step-by-step explanation:

23+4(x+2)

23+4x+8

23+8=31

31+4x

hope this helps you :)

pls give me brainlest ;)

Answer:

Simplify the expression of 23+4(x+2)

We distribute 4 (x+2)

So 23+ 4×x+4×2

So 23 +4x+8

We simplify

(we calculate the numbers with the numbers and we leave 4x like that because there is no other x with which to calculate)

SO 4x+31

Why are the following expressions not
monomials?
3xy^Z
1-2s
(ab)^1/2

Answers

3xy^z: exponent is not a nonnegative int.

r-2s: it is not a product

(ab)^1/2: exponent is not a nonnegative int.

Answer:

✔ exponent is not a nonnegative integer

   

✔ it is not a product

✔ exponent is not a nonnegative integer

Classify the polynomial 2x3 + 6x2 - 4 by the number of terms.
cubic
quadratic
binomial
trinomial

Answers

Answer:

cubic

Step-by-step explanation:

the highest degree is 3, so therefore it is cubic.

Answer:

Trinomial

Step-by-step explanation:

helpppppp nobody does this one either I don’t know whyyyyy

Answers

Answer:

-6±3i√2

Step-by-step explanation:

First we need to simplify the radical here which is √-288. We can make this i√288, and then further simplify by taking out 12 giving us 12i√2. Now we have

-24±12i√2/4

From here we just divide all the terms in the numerator by 4 and get -6±3i√2

hellppp I have to do estimate ​

Answers

That’s tuff ££%#|€}{^*==}\]}%¥=~

The given point in on the graph of y=f(x). Find a point on the graph of y=g(x)
g(x) = f(x - 1); (7, 18)

Answers

Answer: b

Step-by-step explanation:

anser is b

What does the ordered pair (5, 110) represent in the context of this problem?

Answers

Answer:

A.  (1,22), (2,44), (3,66)

B. 5 shirts were bought and the total was $110

C. 4

Step-by-step explanation:

A.

For every 1 increase in the x variable(the first number) the y variable(the second number) increases by 22

B.

The pair represents that he got 5 shirts and that he paid $110. you can check your work by seeing that if yoiu divide 110 by 5 you get the price of the t-shirt; $22

C.

If each shirt is $22 you divide $88 by $22 and get the amount of t-shirts bought; 4

The answer to your question is A

Solve this plss I need help :c
2/3(3х + 9) = - 2(2x + 6)

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}\left(3x+9\right)=-2\left(2x+6\right)[/tex]

Expand:

[tex]\frac{2}{3} *3x+\frac{2}{3} *9=-2*2x+(-2)(6)[/tex]

[tex]2x+6=-4x-12[/tex]

Subtract 6 from both sides:

[tex]2x+6-6=-4x-12-6[/tex]

[tex]2x=-4x-18[/tex]

Add 4x to both sides:

[tex]2x+4x=-4x-18+4x[/tex]

[tex]6x=18[/tex]

Divide both sides by 6:

[tex]\frac{6x}{6}=\frac{-18}{6}\\[/tex]

[tex]x=-3[/tex]

I hope this is helpful. Good luck

What is the value of x?

Answers

Answer:

12

Step-by-step explanation:

As we can see in the picture, the bigger pentagon is a scale copy of the smaller one with a scale factor of 2. Hence, all the sides on the smaller pentagon multiplied by 2 gives us the bigger pentagon. We can find the scale factor by looking at the biggest side of the pentagon. Hope this helped, Thank you.

If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs of age and height represent a function? A. Yes B. No

Answers

Answer:

Yes.

Step-by-step explanation:

First, make a graph, or imagine one.

I'll be making an example graph that only goes up to 13 here.

           Age - 10    11     12    13

Height

v

6ft

5ft

4ft    

           

If we mark this graph with points, you will find that there is only 1 point on each age line!

           Age - 10    11     12    13

Height

v

6ft                                          *

5ft                          *       *

4ft                  *

This means the answer is yes!

Answer:

yes

Step-by-step explanation:

i got the answer right on my test so i know its right

A chemist mixes 10 liters of 20% solution with x liters of a 35% solution. Which of the folling expressions represents the total number of

liters in the mixture?

Answers

Answer:

(10 + x) liters represents the total number of liters in the mixture

Step-by-step explanation:

Here, we want to find and expression representing the total number of liters in the solution; we proceed as follows;

The simple answer here is the sum of the liters of both solutions.

Mathematically, that would be 10 + x liters

We should understand that we do not have anything to do with the concentration of either solution and thus, the total amount in liters of both will be 10 + x liters

what is the differnce between ║-3║ and - 3.
the first number is only suppoased to have one line on each side

Answers

Answer:

l-3l=3 and -3=-3

Step-by-step explanation:

The two bars mean you are finding the absolute value of a number. Absolute value is the distance from zero a number is. Since distance is always positive it basically just means take away the negative if there is one. For example,

l-7l=7 and l8l=8. So the difference is -3 is negative while l-3l is positive.

Answer:

the first tem is greater than the second term so 3>-3

Step-by-step explanation:

you have to simplify the terms first.

3 is greater than -3

lim
t—>0 1-cos(2t) / sin^2 (11t)


Answers

Answer:

2/121

Step-by-step explanation:

Hello,

Hôpital's rule will help here.

[tex]\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2[/tex]

So the limit is 4/(2*121)=2/121

Thanks

Question 2
In Question 1, what do you notice about the y-coordinates before and after a horizontal stretch? What do you notice about the x-coordinates
before and after a vertical stretch?

Answers

Answer:

The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.

Step-by-step explanation:

PLATO sample answer

Mark me Brainliest plz

Answer:

The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.

Step-by-step explanation:

plato answer

|-2x+8|-5=-7 i need to find the value of variable

Answers

Answer:

x = -5

Step-by-step explanation:

Simplify: 2x + 8 - 5 = -7Subtract 8 from each side, so it now looks like this: 2x - 5 = -15Add 5 to each side, so it now looks like this: 2x = -10Divide each side by 2, to cancel out the 2 next to x. It should now look like this: x = -5

I hope this helps!

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