Given that some normally distributed data has a mean of 857.518 and a standard
deviation of 113.181. What is the probability that a randomly sampled datapoint wil
be greater than 1007.174?

Answers

Answer 1

Answer:

10%

Step-by-step explanation:

(1007.174 - 857.518) / (113.181) means that

1007.174   is  1.32 standard dev ABOVE the mean

z-score = .9066    from z-score chart    

  means 90% are less and ~~ 10% are this value or more


Related Questions

Write an equation for the translation of "left 7 units

Y=|x|

Answers

i need the answer to this lol

Which one has a greater quantity:

The volume of a prism with a base area of 24.3 cm2 and height 14 cm or

The volume of a pyramid with a base area 24.3 cm2 and height 14 cm

Answers

Answer:

The volume of a prism with a base area of 24.3 cm2 and height 14 cm

PLEASE HELP ASAP

Subtract 5y2 – 64 – 11 from 6y2 + 2y + 5.
Your answer should be a polynomial in standard
form.

Answers

Answer:

[tex]y^2 + 2y + 80[/tex]

Step-by-step explanation:

[tex]6y^2 + 2y + 5 - (5y^2 - 64 - 11)[/tex]

[tex]6y^2 + 2y + 5 - 5y^2 + 64 + 11[/tex]     [pay attention to the signs :)

[tex]y^2 + 2y + 80[/tex]

Help help math math maths

Answers

4(x - 2)/5 = 4
(4x -8)/5 = 4 , cross multiply
(4x-8) = 20
4x = 20 + 8
4x = 28
Divide through by 4
x= 28/4 = 7
x=7

Answer: X = 7

Step-by-step explanation:

1) 20 / 5 = 4

2) X - 2 = 5

3) 7 - 2 = 5

4) 4 x 5= 20

6) 20 / 5 = 4

7) X = 7

# 5 pls !!
find dy/dx by implicit differentiation

Answers

Step-by-step explanation:

[tex]5. {x}^{3} - xy + {y}^{2} = 4[/tex]

[tex] \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)[/tex]

[tex]3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} [/tex]

Combine the dy/dx.

[tex] \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} [/tex]

[tex] \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y[/tex]

[tex] \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} [/tex]

[tex] \frac{3 {x}^{2} + y }{x - 2y} [/tex]

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]

Step-by-step explanation:

using the product rule to differentiate - xy then

3x² - (x[tex]\frac{dy}{dx}[/tex] + y(1) ) + 2y[tex]\frac{dy}{dx}[/tex] = 0

3x² - x[tex]\frac{dy}{dx}[/tex] - y + 2y[tex]\frac{dy}{dx}[/tex] = 0

3x² + [tex]\frac{dy}{dx}[/tex] (2y - x) - y = 0 (subtract 3x² - y from both sides )

[tex]\frac{dy}{dx}[/tex] (2y - x) = y - 3x² ← divide both sides by (2y - x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]


Lucy is 15 years old and has $1000, she invests in a CD paying 8% interest. How many times will her money double by the time she is 60?

Answers

Answer:

5

Step-by-step explanation:

(1 + i ) ^45     i = interest in decimal    45 = years

(1.08)^45 = ~~ 32    

when she is 65 it will be worth  32 000

  so it doubles  5 times   (1000  2000  4000  8000 16000 32000)

What is the height of the building? (show your work) GIVING BRAINLIEST!

Answers

Answer:

so

Step-by-step explanation:

what I did was count the lines start from 5m and go on from there hope this helps :)

The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is important. Using the diagram below identify the specific rigid motions used for the following shapes.

Answers

Answer:

a rigid motion does not affect the overall shape of an object but  moves an object from a starting location to an ending location the resultant figure in cogruent to the original figure.a rigged motionis when an  object is  moved  from one location to another  and the size and shape have not changed.hope it helps :)

Find the surface area of each of the following figures using the given values.

Answers

Answer:

Step-by-step explanation:

1. the surface area of a square is 6 * s^2

a. 6 * 5^2 = 150 sq ft

b. 6 * 6^2 = 216 sq in

c. 6 * 12^2 = 864 sq mm

2. the surface area of a rectangle is 2(l*w + w*h + l*h)

a. 2(2*5 + 5*7 + 2*7) = 118 sq ft

b. 2(16*11 + 11*10 + 16*10) = 892 sq in

3. the surface area of a sphere is 4pi * r^2

a. 4pi * 12^2 = 576pi or 1809.6 units sq

b. 4pi * 16^2 = 1024pi or 3216.99 units sq

c. d = 2r, r = 5, 4pi * 5^2 = 100pi or 314.2 units sq

4. the surface area of a cylinder is (2pi * r^2) + (2pi*r * h)

a. (2pi * 6^2) + (2pi * 6 * 12) = 216pi or 678.6 units sq

b. (2pi * 2^2) + (2pi * 2 * 10) = 48pi or 150.8 units sq

c. (2pi * 3^2) + (2pi * 3 * 5) = 48pi or 150.8 units sq

5. r = d/2 = 0.5, using formula from question 4:

(2pi * 0.5^2) + (2pi * 0.5 * 4) = 4.5pi or 14.14 ft sq

Solve for 1/4 of x is 6

Answers

Answer: x=24

Step-by-step explanation:

1/4x=6x=6/0.25x=24Other way to do it is 6x4=24

Me sucking at math needs help again
10 Points

Answers

Answer:

1 is alternate exterior

2 is none of these

3 and 5 are corresponding

4 is alternate interior

Step-by-step explanation:

Help help help math math math

Answers

S = 3

Because angle B = Y as stated at the top we can assume triangle 2 is a smaller version of triangle 1.

Because the length of the same side on triangle 2 = 2 and on triangle 1 it = 4 we can assume triangle 2 is half the size of the first triangle.

So to find the length of s we divide 6 by 2 because triangle 2 is half the size of triangle 1.

This gives us 3 meaning s = 3

Answer:

uhmm i don't know sorry I am just kind of doing this so I get the credit for answering a question:)

if i have 2489 friends and 72% of those friends want burgers, and 25% of the 72% want chips too, how many want chios

Answers

Answer:

448.02

Step-by-step explanation:

72% of 2489 is 1,792.08

25% of 1,792.08 is 448.02

Lester bought 6.16 pounds of bologna at the deli. Renee bought 1.33 pounds
of bologna. How much more bologna did Lester buy than Renee? Do not
include units in your answer.

Answers

Answer:

5.32

Step-by-step explanation:

MARK A BRAIN LESS

CARRY ON LEARNING

B BRAIN LY FAST

find the measures of the missing angles

Answers

Answer:

I cannot see the attachment

Step-by-step explanation:

Please Help!!!!
A ball was thrown upward into the air. The height in feet of the ball, above the ground, t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression?
A.) the ball took three seconds to reach its maximum height
B.) the ball took three seconds to reach the ground
C.) the ball was thrown from a height of three feet
​D.) the ball reached a maximum height of three feet

Answers

Answer:

The ball was thrown from a height of [tex]3\; {\rm ft}[/tex].

Step-by-step explanation:

The expression for the height of this ball, [tex]h(t) = -16\, t^{2} + 40\, t + 3[/tex], represents a parabola (with respect to time [tex]t[/tex].)

In this expression, "[tex]3[/tex]" represents the [tex]y[/tex]-intercept of the parabola- the output of the parabola when the input is [tex]t = 0[/tex]. The reason is that when [tex]t = 0\![/tex], terms of this parabola that include [tex]t[/tex] ([tex](-16\, t^{2})[/tex] and [tex]40\, t[/tex]) would evaluate to [tex]0[/tex]:

[tex]\begin{aligned}h(0) &= -16\times 0^{2} + 40\times 0 + 3 = 3\end{aligned}[/tex].

In the case of this ball, the term "[tex]3[/tex]" means that height of this ball is [tex]3\; {\rm ft}[/tex] when [tex]t = 0[/tex] (right when the ball was thrown.) Thus, the ball was thrown from a height of [tex]3\; {\rm ft}[/tex].

Calculate the interest rate for an account that was
compounded semi-annually, had an initial deposit of
$9,000 and was worth $13,373.53 after 10 years.

Answers

Answer:

Intrest rate is 3645%

20(36.45%) = $4374

Step-by-step explanation:

Semi-annualy = 6 months

Start: $9,000

After 10-years (120 months): $13,373.53

Since it's gaining money every 6 months, it gains money over 20 months.

(120/6 = 20)

After removing the starting cost, it gains $4,373.53 over 20 months.

(13,373.53 - 9,000 = 4,373.53)

$4,373.53 spread out over 20 months equals around $218.68 every 6 months.

(4,373.53 ÷ 20 = 218.6765)

(218.6765 218.68)

$218.68 over 6 months equals about $36.45 every month

(218.68 ÷ 6 = 36.44666)

(36.4666 36.45)

The intrest rate is 3645%

(3645% ÷ 100% = 36.45)


can someon3 help me with this it like 4 or 5 minutes ​

Answers

Answer:

C. 360-85=12h

Step-by-step explanation:

360=85+12h

360-85=12h

On a standardized exam, the scores are normally distributed with a mean of 450 and a standard deviation of 25. Find the z-score of a person who scored 470 on the exam.

Answers

A Z-score helps us to understand how far is the data from the mean. The z-score of a person who scored 470 on the exam is 0.8.

What is Z-score?

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

Given the mean is 450, while the standard deviation is 25, therefore, the value of the z-score can be written as,

[tex]Z = \dfrac{X- \mu}{\sigma}\\\\Z(X=470) = \dfrac{470- 450}{25} = 0.8[/tex]

Hence,  the z-score of a person who scored 470 on the exam is 0.8.

Learn more about Z-score:

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James bought a car for $17.528 which included a 4.5% tax
a) How tax did he pav? b) He received a 15% discount off the
original price of the car. What was the original price?

Answers

Answer:

(1) the tax is 788.76

(2) 19312.23

Step-by-step explanation:

Hope this helps

(3×1/2) + (6×3/4) + (3×1) + 1 1/4 +1 1/2=

Answers

(3×1/2) + (6×3/4) + (3×1) + 1 1/4 +1 1/2=11.75

A summer camp has a boy-girl ratio of 8:11 if the camp has 88 boys, what is the total number of children in the camp? ​

Answers

There are 111 girls+the 88 boys=199 kids total

Answer:



Step-by-step explanation:

8:11

A company makes three sizes of juice bottles: small, medium, and large.


• The ratio of small bottles to medium bottles made is 2:3.

• The ratio of medium bottles to large bottles made is 3:5,


The company makes s small bottles every minute.


Enter an expression in terms of s to represent the number of large bottles the company makes every minute.

Answers

An expression in terms of s that represents the number of large bottles is :  L = [tex](\frac{15s}{2} /3})[/tex]

Ratio of different sizes of bottles

The company makes s small bottles every minute

let ; M represent the number of medium bottles made every minute

L represent the number of large bottles made every minute

small bottles to medium =  2 : 3

small bottles to medium =  s : M

M is the unknown, so to find how many medium bottles that has been made,  we must cross multiply

2M = 3s

M = [tex]\frac{3s}{2}[/tex]  medium bottles made every minute

medium bottles to large bottles =  3 : 5

medium bottles to large bottles =  M : L

where M = [tex]\frac{3s}{2}[/tex]

The equation becomes:

           3 : 5

           [tex]\frac{3s}{2}[/tex] : L

L is the unknown, so to find how many Large bottles that has been made,  we must cross multiply

3L =( [tex]\frac{3s}{2}[/tex] ) * 5

L = [tex](\frac{15s}{2} /3})[/tex]

L = ( [tex]\frac{5}{2}[/tex] s)

L = 2.5 s

therefore the large bottles the company makes every minute is 2.5s large bottles

we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s

Learn more about Ratio : https://brainly.com/question/1509142

SOLVE THE EQUATION and explain YOUR ANSWER

Answers

Using the given quadratic function, it is found that:

a) The vertex is (-2.5, -15.5).

b) The y-intercept is of -3.

c) The solutions are x = -0.28, x = 5.28.

What is the quadratic function?

It is modeled by:

f(x) = 2x² - 10x - 3.

Which means that the coefficients are a = 2, b = -10, c = -3.

What is the vertex of the function?

It is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Hence:

[tex]x_v = -\frac{-10}{4} = -2.5[/tex]

[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]

The vertex is (-2.5, -15.5).

What is the y-intercept of the equation?

It is the value of coefficient c, hence it is of -3.

What are the solutions?

[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]

[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]

[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]

The solutions are x = -0.28, x = 5.28.

More can be learned about quadratic functions at https://brainly.com/question/24737967

HELP ASAP!!
Person A leaves a $16 tip for a meal that costs $123. Person B leaves a tip of $12 for a meal that costs $89. Who is the better tipper? Explain.

Answers

16 is 13% of 123. 12 is 13.4% of 89. Therefore, Person B is the better tipper(barely).

What are the dimensions of the large rectangle and the small rectangle?

Answers

Answer:

there is no picture to give an answer

Answer:

I need the picture to answer the question...

Step-by-step explanation:

Help help help math math

Answers

[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]

[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]

[tex]2 |x - 3| = 30[/tex]

[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]

[tex] |x - 3| = 15[/tex]

[tex]x - 3 = 15[/tex]

[tex]x - 3 + 3 = 15 + 3[/tex]

[tex]x = 18[/tex]

OR

[tex]x - 3 = - 15[/tex]

[tex]x - 3 + 3 = - 15 + 3[/tex]

[tex]x = - 12[/tex]

2|x-3|=30
|x-3|=15
x-3=-15
x-3=15
x=-12
x=18

A bag with 8 marbles has 4 yellow marbles, 3 blue marbles, and 1 red marbles. What is the probabillity that it chosen at random and is yellow?

Answers

Answer:

1/2 = 0.5 = 50%

Step-by-step explanation:

Given:

Yellow marbles = 4Blue marbles = 3Red marbles = 1Total marbles = 8

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(yellow) = \dfrac{4}{8}=\dfrac12[/tex]

This can also be written as 0.5 or 50%

Total marbles=8Yellow marbles=4

Probability of yellow:-

P(Y):-

4/81/20.5

What kind of transformation converts the graph of f(x) = -8x2 - 8 into the graph of g(x) =
-x² – 1?
vertical stretch
vertical shrink
horizontal stretch
horizontal shrink
Submit

Answers

Answer:

horizontal stretch

Step-by-step explanation:

For f(x) to turn into g(x), you must divide the function by 8. When we divide a function, this is known as a horizontal stretch because as you can see, the function gets wider. See the help image below with different examples.

Just a future tip: when you're in doubt, graph it out!

Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.  Option C is correct.

The general form of the quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

In this case, for f(x) = -8x² - 8, the vertex is at (0, -8).

For g(x) = -x² - 1, the vertex is at (0, -1).

Comparing the two functions, you can see that the coefficient in front of x² changes from -8 to -1.

This change in the coefficient results in a horizontal stretch or compression of the parabola.

In this case, the graph has been horizontally stretched to transform from f(x) to g(x).

Hence, Option c is correct. Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.

To learn more on Graph click:

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Grayson surveyed some students at his school about their favorite colors. Of the students surveyed, 2 said orange was their favorite color, while 36 of the students had other favorite colors. What is the experimental probability that the next student Grayson talks to will pick orange?

Answers

Using it's concept, it is found that there is a 0.0526 = 5.26% experimental probability that the next student Grayson talks to will pick orange.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 2 out of 38 students picked orange as their favorite color, hence the probability that the next student picks orange is given by:

p = 2/38 = 1/19 = 0.0526.

More can be learned about probabilities at https://brainly.com/question/14398287

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