Find the standard normal area for each of the following (Round your answers to 4 decimal places.): Standard normal area a.P(1.26 < Z < 2.16) b.P(2.05 < Z < 3.05) c.P(-2.05 < Z < 2.05) d.P(Z > .55)

Answers

Answer 1

Answer:

The correct answer is:

(a) 0.0884

(b) 0.0190

(c) 0.9596

(d) 0.2921

Step-by-step explanation:

(a)

= [tex]P(1.26<Z<2.16)[/tex]

= [tex]P(Z<2.16)-P(Z<1.26)[/tex]

= [tex]0.9846-0.8962[/tex]

= [tex]0.0884[/tex]

(b)

= [tex]P(2.05<Z<3.05)[/tex]

= [tex]P(Z<3.05)-P(Z<2.05)[/tex]

= [tex]0.9989-0.9798[/tex]

= [tex]0.0190[/tex]

(c)

= [tex]P(-2.05<Z<2.05)[/tex]

= [tex]P(Z<2.05)-P(Z<-2.05)[/tex]

= [tex]0.9798-0.0202[/tex]

= [tex]0.9596[/tex]

(d)

= [tex]P(Z>0.55)[/tex]

= [tex]1-P(Z<0.55)[/tex]

= [tex]1-0.7088[/tex]

= [tex]0.2912[/tex]


Related Questions

answer plz pix inside plz find both answers

Answers

Answer:

pixxer

Step-by-step explanation:

please pick inside please

Answer:

I dont now

Step-by-step explanation:

plz conprendation

Answer my question you heathens

Each month your cell phone company charges you $ 40 for your plan plus 2 cents for each text you send. You have $ 120 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send __________ _______________ texts this month in order to stay within your budget.

Answers

Answer:

50 text messages would have to be sent or received in order for the plans to cost the same each month.

Step-by-step explanation:

x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.

What are the solutions to the system of equations graphed below

Answers

Yes I should be about 50!593

Evaluate the expression below for x = 2, y = -3, and z = -1.
x?2? - y? (x +z)
A. -23
B. -5
C 13
D
27
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD

Answers

B -5
The answer is -5

The value of the expression for the given values of x, y and z is B. -5.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

x²z² - y²(x + z)

We have certain values for x, y and z.

x = 2, y = -3 and z = -1.

Substituting the values,

(2²)(-1²) - (-3²) (2 + -1) = (4 × 1) - (9 × 1)

                                 = 4 - 9

                                 = -5

Hence the value of the expression is -5.

Learn more about Expressions here :

https://brainly.com/question/17969812

#SPJ7

Suppose a line parallel to side BC of triangle ABC intersects AB and AC at point D and E, respectively. Find the length of AE if DB = 32, AB= 48 and AC = 39

Answers

Answer: AE=13

Step-by-step explanation: took test

match the description in column a to its corresponding word in column b.
help me plsssss​

Answers

Answer:

1-a

2-h

3-g

4-d

5-c

6-j

7-f

8-k

9-b

10-i

numbers are column A and alphabets are column B!

In an examination every student took history or geography or both of 500 candidates 60% took history whiles 72% took geography. How many students took both subjects

Answers

Answer:

80 students

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

60% of 500 = 300

72% of 500 = 360

40% of 500 = 200

28% of 500 = 140

300+360 = 660

660 - 2x = 500

660 - 500 = 2x

160 = 2x

2x = 160

x = 80

When four times a number is added to 8 times the number, the result is 36. What is the number

Answers

Let the number = X

4x + 8x = 36

Simplify:

12x = 36

Divide both sides by 12:

x = 3

The number is 3

4x + 8x = 36
12x = 36
X=?
Answer of the question

Cuanto es 91972×898972819

Answers

Answer:

82,680,328,109,068

Step-by-step explanation:

Use the on-line Big Number calculator

Chris is riding her bike for 10 miles. She averages 12 mi/h. how many more minutes must she ride before she travels 60 miles?

Answers

Answer:

5 Minutes

take 10 and add 12 for each minute until you pass 60

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected (without replacement).

Answers

Answer:

The probability of getting two good coils is 77.33%.

Step-by-step explanation:

Since a batch consists of 12 defective coils and 88 good ones, to determine the probability of getting two good coils when two coils are randomly selected (without replacement), the following calculation must be performed:

88/100 x 87/99 = X

0.88 x 0.878787 = X

0.77333 = X

Therefore, the probability of getting two good coils is 77.33%.

Can anyone help me with the question?

Answers

Answer:

-9

Step-by-step explanation:

(f-g) (x) = 2x²-7x+24-5x²-5x+3

= -3x²-12x+27

(f-g) (2) = -3(2)²-12(2)+27

= -12-24+27

= -9

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(3, 3) B(5, 3) C(8,1) D(1,1)

Answers

Answer:

No, a quadrilateral with the given vertices is not  an isosceles trapezoid.

Step-by-step explanation:

We are given that

A(3,3), B(5,3), C(8,1), D(1,1)

Slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB=[tex]\frac{3-3}{5-3}=0[/tex]

Slope of BC=[tex]\frac{1-3}{8-5}=\frac{-2}{3}[/tex]

Slope of CD=[tex]\frac{1-1}{1-8}=0[/tex]

Slope of AD=[tex]\frac{1-3}{1-3}=1[/tex]

Slope of AB=Slope of CD

When slopes of two lines are equal then the lines are parallel.

Therefore, AB is parallel to CD.

When one pair of quadrilateral is parallel then the  quadrilateral is trapezoid.

[tex]\implies [/tex]ABCD is a trapezoid.

Distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

Length of BC=[tex]\sqrt{(8-5)^2+(1-3)^2}[/tex]

Length of BC=[tex]\sqrt{9+4}=\sqrt{13}[/tex] units

Length of AD=[tex]\sqrt{(1-3)^2+(1-3)^2}[/tex]

Length of AD=[tex]\sqrt{4+4}=2\sqrt{2}[/tex]

Length of AD is not equal to length of BC.

Hence, trapezoid is not an isosceles trapezoid.

What is the smallest three-digit number that is divisible by 3? Explain how you know without multiplying or dividing.

Answers

Smallest 3 digit number is 100, divisible by 3 would be 102??

Help asap!!!!!!
A.
B.
C.
D.

Answers

Answer:

Function has a minimum value

So, f(x)=0 and f(4)=-3

f(x)= - 1/2x^2+4x-11

f(4)=-3 and f(x)=-x+4

f(4)=0

OAmalOHopeO

Which statement best compares the two functions? The minimum of function A occurs 1 unit higher than the minimum of function B. The minimum of function A occurs 3 units higher than the minimum of function B. The minimum of function A occurs 5 units lower than the minimum of function B. The minimum of function A occurs 7 units lower than the minimum of function B.

Answers

Answer: D: The minimum value of A occurs 7 units lower than minimum of function B.

Step-by-step explanation: The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.

The minimum value of A occurs 7 units lower than the minimum of function B.

We have given that,

Statement best compares the two functions

What is the minimum and maximum function?

The maxima and minima of a function, known collectively as extrema, are the largest and smallest value of the function, either within a given range, or on the entire domain.

The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.

To learn more about the minimum visit:

https://brainly.com/question/26699459

#SPJ2

a + b·c = a + c·b is an example of the associative property.

Answers

Answer:

yes , This is an example of the associative property.

Step-by-step explanation:

How long will it take 500 dollars to double if it is invested at 7% interest compounded semi-annually

Answers

Answer:

11 half years

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n)^(nt), with r representing the interest rate, n being the number of times interest is applied over the time period, and t being the amount of time periods.

If we make the time period a half year (so interest is compounded once per time period), n=2. Then, our interest rate is 7%, or 0.07 (to convert from percent to decimal, simply divide by 100). Our starting amount is 500, and we want it to double, making it 1000. Our formula is thus

1000 = 500 (1+0.07)^(t)

divide both sides by 500

2 = (1+0.07)^(t)

2 = (1.07)^(t)

Using logarithms, we can say that

[tex]log_{1.07} 2 = t[/tex]

and using a calculator, we get

10.24 = t

Since interest is only compounded once per time period, though, we have to round up to make sure it doubles, so t = 11


Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?

Answers

9514 1404 393

Answer:

Keiko: 17Chang: 24Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

  c + (c -7) +4(c -7) = 109

  6c -35 = 109 . . . . . . . . . . simplify

  6c = 144 . . . . . . . . . . . add 35

  c = 24 . . . . . . . . . . . divide by 6

  c-7 = 17

  4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

Evaluate 12 sin 85° correct to two decimal places.​

Answers

Answer:

12 x sin(85)

12x 0.99619

155.40

Solution:

12 x sin (85) = 11.95 (Since sin85 is 0.996194)

So, the answer is 11.95.

Simplify (6 + 4i) + (3 - 3i)

Answers

Answer:

9 + i

Step-by-step explanation:

You just simplify by combining the real and imaginary parts of each expression.

Hope this helps you!!

Which of the following is an acute triangle?
70
30*
24°
45
126
132
36°
90°
45
559 55°
Triangle A
Triangle B
Triangle C
Triangle D
A. Triangle B
B. Triangle A
O
C. Triangle C
O.
D. Triangle D

Answers

Triangle A.
The angle is less that 90 degrees.

The correct answer will be option (B) Triangle A

Acute triangle

An acute-angled triangle is a type of in which all the three internal angles of the triangle are acute, that is, they measure less than 90°

How to solve this problem?

The steps are as follow:

In acute triangle the the internal angle should not or greater than 90 degreeIn triangle B one of internal angle is 126 degree which is greater than 90 degree so it is not acute triangleOne internal angle of triangle C is 90 degree so it is also not acute triangleFor triangle D one angle is 132 degree which is greater than 90 degree so it also not acute triangleIn triangle A all the internal angle is less than 90 degree so it is acute triangle

So the triangle A is acute triangle

Learn more about Acute triangle here:

https://brainly.com/question/1058720

#SPJ2

4
On a plan with a scale of 1:50, the floor of a rectangular cupboard is
shown with dimensions 25 cm by 3.6 cm. What are the actual dimensions
of the floor? Give your answers in metres.



Anyone know the answer ?

Answers

Answer:

The actual dimensions of the floor are 12,5m by 1,8m.

Step-by-step explanation:

Scale problems are solved by proportions, using a rule of three.

Scale of 1:50

This means that each cm on the cupboard has a real dimension of 50 cm

25 cm on the cupboard:

So the real dimension is:

25*50 = 1250 cm = 12,5m

3.6 cm

The real dimension is:

3.6*50 = 160 cm = 1,8 m

The actual dimensions of the floor are 12,5m by 1,8m.

Simplify
b. 3a + 4b-2a-b
4 나
V
216 x
Х
18

Answers

Answer:

a+3b

Step-by-step explanation:

3a+4b-2a-b

=3a-2a+4b-b

=a+3b

Not sure I would solve this problem or where to start? Can someone help me out here please?

Answers

Answer:

$2419469.58

Step-by-step explanation:

You are given the original player salary and told that there is a pay decrease of 2.7%.

So New Salary= Original Salary-Pay Decrease.

If original is 100% and pay decrease is 2.7% then the new salary is 97.3% of original.

New Salary= 0.973*2486609=$2419469.58

I need at least two more sentences in regards with this assignment. Note the included photo. Please come up with two proper sentences following the assignments instructions. Ps. Don’t try to steal points from this or you will be reported

Answers

Answer:

A={x: x is a cat}

B={x: x likes climbing on trees}

My little cat Louis likes climbing on trees (Louis is in the intersection of the two sets)

A={x: x is a town in the USA}

B={x: x is a town in the UK}

To improve my English I'd like to go on holiday to a town in the USA, but a town in the UK would work too (the town shall be in the union of the two sets)

An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equation
represent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning why
you chose this equation for your example.)

Answers

Answer:

f is not a function

Step-by-step explanation:

Given

Domain: Whole numbers

Range: Real numbers

Required

Is f a function

Base on the given parameters, f is not a function because:

There are more real numbers than whole numbers

And this implies that at least one element in the domain will have more than one corresponding elements in the range. i.e. one-to-many or many-to-many relationship

For a relation to be regarded as a function, the relationship has to be one-to-one or many-to-one

i.e. 1 or many domain elements to 1 element in the range.

An example is:

[tex]\begin{array}{ccccc}x & {1} & {9} & {9} & {0} \ \\ f(x) & {1.5} & {3.2} & {-3.5} & {0.1} \ \end{array}[/tex]

In the above function

The domain (i.e. x values) are whole numbers

The range (i.e. y values) are real numbers

However,

9 points to 3.2 and -3.5

So, the relation is not a function.

The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in as
x 01234
f(x) 0.41 0.37 0.16 0.05 0.01
Find the average number of imperfections per 10 meters of this fabric.

Answers

Answer:

0.88

Step-by-step explanation:

x 01234

f(x) 0.41 0.37 0.16 0.05 0.01

The mean or average is the expected value :

E(X) = Σ(x * p(x)) = (0 * 0.41) + (1 * 0.37) + (2 * 0.16) + (3 * 0.05) + (4 * 0.01)

E(X) = 0 + 0.37 + 0.32 + 0.15 + 0.04

E(X) = 0.88

Please help with this

Answers

Answer:

i think you answer is correct as it has to be less that 64 yards since it is not on a big slant. using reference from the first section forty yards is not as big as the sectuon you are looking for therefore using estimation, the answer is most likely b 53 and 1 thirds

Find the values of X and Y that makes these triangles congruent by the HL theorem

Answers

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

y + 4 = 3y

y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

Other Questions
Emily is standing 150 feed from a circular target with a radius of 3 inches. To hit a bulls's eye, she must hold the gun perfectly level. Will she hit the target if her aim is off by two-tenths of a degree in any direction? (please show work - not just answer the question yes or no). A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10 rev/s; 60 revolutions later, its angular speed is 15 rev/s. Calculate (a) the angular acceleration, (b) the time required to complete the 60 revolutions, (c) the time required to reach the 10 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 10 rev/s angular speed. Select the correct answer.Terry and Pat are on their third date, and Terry is pressuring Pat to engage in oral sex. Which statement is the first step in Pat effectively refusing?A. Don't you know the latest statistics? Oral sex is responsible for approximately 40 percent of the instances of HIV infection in our country today!B. You know, I'd like to go back to that theater and see the second feature after all. We should probably call up some friends to join us. C. Terry, I will not engage in oral sex because I am not ready yet. I enjoy spending time with you, but I think we need to discuss our boundaries. 280L of water consumed my 7 people. water consumed by 50 people =___L alvin is 5 years older than elga. the sum of their age is 85. what is elga age Batter boards (if properly offset) will allow for the end user to continually re-string the layout to double check accuracy without having to continually set up an instrument True False 14.8 = n minus 0.3n = negative 15.1n = negative 14.5n = 14.5n = 15.1 Is (0,0) a solution of the graphed inequality?Choose 1 answer:YesNo A 4 metre ladder is placed against a vertical wall.The base of the ladder is 1.5 metres from the base of the wall. Find the area enclosed by the figure. simplify the following.(2x-y)(x+2y) What isAandAfor a setA? Help me :( plzzzz :( "Time is but the stream I go a-fishing in. I drink at it; but while I drink I see the sandy bottom and detect how shallow it is. Its thin current slides away, but eternity remains." What is the meaning of this passage?A. A day standing in the sand near a stream fishing feels like the time is an infinite resource.B. Time is fleeting and eternity can not be contained by time.C. A day in nature is so peaceful, it seems like it goes on forever.D. Drinking water is essential for life What is a migrant worker? traveling agriculture worker a skilled factory workerlaborer with permission to work in a foreign nationO a worker in a maquiladora What is the slope of (-1,3) and (3,1) Calculate the molality of a solution containing 22.75 g of glycerol (C3H8O3) in 79.6 g of ethanol (C2H5OH). Give me a summary of Thomas Hobbes philosophy and beliefs. which values are soloutions to the inequality -3x - 4 < 2 ? check all of the boxes that apply 9. Rewrite the following sentences changing the voice:1. Did you buy the new English MCB? MOTS2. Let the door be opened. [LOTS]3. Cows eat grass. [LOTS]4. Farmers depend on Monsoon to sow the seeds. MOTS5. Teachers will have prepared a detailed note of the lesson. HOTS6. We must obey the rules. HOTS7. Crops were harvested before the rain by them. [LOTS]