z is a standard normal random variable. The P (1.41 < z < 2.85) equals a.0.4978 b.0.0771 c.0.9185 d.0.4207

Answers

Answer 1

Answer:

[tex]P (1.41 < z < 2.85) = 0.0771[/tex]

Step-by-step explanation:

Required

[tex]P (1.41 < z < 2.85)[/tex]

This is calculated as:

[tex]P (1.41 < z < 2.85) = P(z < 2.85) - P(z < 1.41)[/tex]

From z probabilities:

[tex]P(z < 2.85) = 0.99781[/tex]

[tex]P(z < 1.41) = 0.92073[/tex]

So, we have:

[tex]P (1.41 < z < 2.85) = 0.99781 - 0.92073[/tex]

[tex]P (1.41 < z < 2.85) = 0.07708[/tex]

Approximate

[tex]P (1.41 < z < 2.85) = 0.0771[/tex]


Related Questions

Find the equation of a line parallel to y'= -8x+6.

Answers

Answer:

The equation must include -8 as the slope

Step-by-step explanation:

Hi there!

Two key points to keep in mind:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).Parallel lines always have equal slopes

Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.

For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.

I hope this helps!

Hello! i really need help with this question.

Answers

Answer:

Option C

Step-by-step explanation:

Since,

Ray starts from point O and goes endlessly through point M so, the direction of Ray will be ---> on OM.

Answer:

C

Step-by-step explanation:

Starting from O then moving towards M

is 16 the decimal value of 1000​

Answers

Answer:

0.016

Step-by-step explanation:

Answer:

0.016

Step-by-step explanation:

1. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls: (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll? 2. If the die in Problem 1 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d).

Answers

Answer:

hat mather chosen to be mather

What are the coordinates of the vertex of the parabola described by the
equation below?
y= 2x+52-3
O A (-5.3)
0
B. (-3.-5)
C. (3.5)
O D. (5-3)
ANSWER ASAP!

Answers

Step-by-step explanation:

please type the question properly

Did you mean y = (2x +5)^2 - 3 ?
The answer would then be (-2.5, -3)

solve for x in the equation 9- x/4=2

Answers

Answer:

9-x/4=2

[tex] \frac{36 - x}{4} = 2[/tex]

[tex]36 - x = 2 \times 4[/tex]

[tex]36 - x = 8[/tex]

[tex] 36 - 8 = x[/tex]

[tex]28 = x[/tex]

[tex]x = 28[/tex]

9 - x/4 = 2

(36 - x)/4 = 2

36 - x = 8

36 - 8 = x

x = 28

I hope you understand...

Mark me as brainliest...

A TRIANGLE HAS SIDE LENGTH 3, 8 AND 9. FIND THE ANGLE MEASUREMENTFOR THE ANGLE CROSS FROM THE SIDE WITH LENGTH OF 8.

Answers

Answer:tu culo

Step-by-step explanation:

What are some easy ways to find the value of

(2017^4−2016^4)/(2017^2+2016^2) without calculator

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
The area of the parallelogram is 1 m?.
(1) Show that 4x? - 9x + 3 = 0.
Answer (a)(i)
(*) Solve the equation 4x² – 9x + 3 = 0.
Show all your working and give your answers correct to 2 decimal places.

Answers

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

Jennifer’s pie shop recorded how many pies it recently sold in each flavor. Lemon meringue pies 2 apple pies 3 peach pies 2 blueberry pies 4 coconut cream pies 1 considering this data, how many of the next 15 pies sold should you expect to be blueberry pies?

Answers

Answer:

correct me if im wrong but im assuming four just cause if you count what you have all ready not couting the 15 pies. You have at leat 12 and not couting the lemon pies. And from there you basically have to just thing and do the math and I got at least 3 to 5 pies that should be blueberry. srry for my spekling it ducks

We can expect that out of the next 15 pies sold, approximately 5 of them will be blueberry pies.

What is a relative frequency?

Relative frequency is a statistical measure that expresses the proportion or percentage of times an event occurs in relation to the total number of events.

We have,

To estimate how many of the next 15 pies sold should be blueberry pies, we can use the relative frequency of blueberry pies in the given data.

The relative frequency of a pie flavor is the ratio of the number of pies of that flavor to the total number of pies.

The total number of pies sold in this data is:

= 2 + 3 + 2 + 4 + 1

= 12

The number of blueberry pies sold is 4.

The relative frequency of blueberry pies.

= 4/12

= 1/3

This means that 1/3 of the pies sold were blueberry pies.

To estimate the number of blueberry pies out of the next 15 pies sold, we can multiply 15 by the relative frequency of blueberry pies.

= 15 x (1/3)

= 5

Therefore,

We can expect that out of the next 15 pies sold, approximately 5 of them will be blueberry pies.

Learn more about relative frequency here:

https://brainly.com/question/29739263

#SPJ2

What are the rational roots of f(d) = 5d - 6 + d-8?

Answers

5d - 6 + d - 8 = 0

6d - 14 = 0

6d = 14

d = 14/6

d = 2 and a third

What’s the answer to these

Answers

Answer:

B. [tex]\sqrt{16} *\sqrt{4}[/tex]

Step-by-step explanation:

[tex]=\sqrt{16*4}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

--------------------

[tex]=\sqrt{16} *\sqrt{4}[/tex]

[tex]=4*2[/tex]

[tex]=8[/tex]

--------------------

Hope this helps.

what do you call the middle value in the set of the data or quantities a mean b. median c.mode d.range​

Answers

Answer:

median is the middle value

mean is the average

mode is the one that occurs most

range is the highest number - lowest number

what of the following functions is graphed below
being timed help quickly will mark brainliest !!!​

Answers

The correct answer is C

Help me complete this

Answers

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

[tex]\sqrt{98}[/tex] = x

[tex]7\sqrt{2}[/tex] = x

9.9 = x

Find the zero of the polynomial 2y – 3​

Answers

Answer:

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Step-by-step explanation:

Zero of a polynomial:

The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.

Polynomial 2y - 3

The zero is given by:

[tex]2y - 3 = 0[/tex]

[tex]2y = 3[/tex]

[tex]y = \frac{3}{2}[/tex]

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

After sales tax, a $90 lamp costs
$95.40. What is the sales tax
percentage?

Answers

Answer:

the sales tax percentage is 6%

Step-by-step explanation:

To solve this you want to first find what percent $95.40 is of $90. Then we can subtract 100% to find the extra percent (the sales tax).

95.40 is what percent of 90?

95.40 = X · 90

Divide by 90 on both sides.

1.06 = X

So now we know that 95.40 is 106% of 90. We subtract 100% from 106% to get 6%. Therefore the sales tax percentage is 6%.

What is the reflection across y=x and y=-x. Just the general definition of what it means.

Answers

Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Reflection in the y -axis:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

More information for you..

https://youtu.be/TPU5IyCUGuA

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[tex]\color{yellow}{}[/tex]

Express the given situation as a linear inequality. needs at least units of a nutritional supplement per day. Red pills provide units and blue pills provide. Let x be the number of red pills and y be the number of blue pills.
A. 6x+ 5y ≥ 32
B. 11(x + y) ≥ 32
C. 320X+ y) ≥ 11
D. x+y≥32

Answers

Wiener eejnejene jenejeeb ewj



Jenejeneb Jenner be.



Hope the helps

DO,-2(x, y)(3, 5).
The point (x, y) is

(1, 3)
(-3/2, -5/2)
(-6, -10)

Answers

(1,3) ez la respuesta

Calculate the mean and median of the list of numbers below: 3, 5, 2, 10, 6, 3, 7, 3

Answers

Answer:

Step-by-step explanation:

mean = sum of data / no of data

=3 + 5 + 2 + 10 + 6 + 3 + 7 + 3/8

=36/8

4.5

to calculate the given data must be arranged in ascending to descending order . So , the data are

2 , 3 , 3 , 3 , 5 , 6 , 7 , 10

Median = N + 1/2    (N means no of data)

=8 + 1/2

=9/2

=4.5

=(4 + 5) th term / 2

=3 + 5/2

=8/2

=4

Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 tickets were sold in the amount of $176.50. If adult tickets cost $3.75 and student tickets cost $2.00, how many adult tickets and student tickets were sold?​

Answers

Answer:

Adult ticket = 38

Student ticket = 17

Step-by-step explanation:

Let :

Adult ticket = x

Student ticket = y

x + y = 55 - - - - (1)

Cost per x = 3.75

Cost per y = 2

3.75x + 2y = 176.50 - - - (2)

From (1):

x = 55 - y

Put in (2)

3.75(55 - y) + 2y = 176.50

206.25 - 3.75y + 2y = 176.50

-1.75y = - 29.75

y = - 29.75 / - 1.75

y = 17

From :

x = 55 - y

x = 55 - 17

x = 38

Please help me
Thank you.

Answers

Answer:

(8, -1)

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations. The systems of equations intersect at (8, -1).

In Problem, p is in dollars and q is the number of units.
(a) Find the elasticity of the demand function
p2 + 2p + q = 49 at p = 6.
(b) How will a price increase affect total revenue?

Answers

Answer:

-14

Explanation:

Elasticity of demand is the degree of change in demand after a change I'm price, basically demand's sensitivity to price change.

Formula for calculating price elasticity is: change in price/change in quantity =dq/dp

Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:

2p+2+dq/dp=0

dq/dp=-2p-2

Given p =6, we substitute:

dq/dp=-2×6-2

dq/dp=-12-2

dq/dp=-14

With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.

Please help! Which interval describes where the graph of the function is positive?

Answers

Answer:

c. -oo < x < -1

Step-by-step explanation:

according to the graph the function possitive

=> y > 0 , and x < -1

3 tons of topsoil cost $2,040.00. What is the price per pound?

Answers

Answer:

$0.34/pound

Step-by-step explanation:

1 ton = 2000 pounds

3 tons = 6000 pounds

-------------------------

2040/6000 = $0.34/pound

The circumference of the base of the cone is 8.5 inches. What is the volume of the cone in term of pi? Round to the nearest hundredth

Answers

Answer:  V = 270.94/pi

========================================================

Work Shown:

C = 2*pi*r  ......... circumference of the circular base

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

-------------

V = pi*r^2*h ...... volume of the cone

V = pi*(4.25/pi)^2*15

V = pi*(18.0625/pi^2)*15

V = (18.0625*15)/pi

V = 270.9375/pi ..... exact volume in terms of pi

If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi

How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution

Answers

Answer:

10 quarts

Step-by-step explanation:

.1(8) + 1(x) = .6(x + 8)

.8 + x = .6x + 4.8

.4x = 4

x = 10

10 quarts

What are the solutions to x2 -8x =13

Answers

x2 - 8x + 16 = 13 + 16
(x - 4)^2 = 29
x - 4 = sr(29)
x = 4 +- sr(29)

Answer:

See image below for answer:)

Step-by-step explanation:

What would be the amount of his last monthly bill in order. The bill amount to be 110 for all 12 months

Answers

Add up all the numbers the divide by the amount of numbers in the set.
1199/11 = 109
B. 109 answer
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