What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?

Answers

Answer 1

Answer:

P( -1.96 ≤ Z≤ 1.96) = 0.95

Step-by-step explanation:

Explanation:-

Given that the z -scores -1.96 and 1.96

we have to find   P( -1.96 ≤ Z≤ 1.96)

P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

                              = |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

                            =  0.4750+0.4750

                            = 2×0.4750

                           = 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

             


Related Questions

Three consecutive integers have a sum of 48. Find the integers.

Answers

Answer:

15,16,17

Step-by-step explanation:

Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)

x+x+1+x+2=48

3x+3=48

3x=45

x=15

15,16,17

1. Given: Angle 2 is 65 degrees.

(a) What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
(b) What is the angle measurement of Angle 7. Explain the angle relationship used and show your work.
(c) What is the angle measurement of Angle 3. Explain the angle relationship used and show your work.

Answers

Answer:

Part A. Angle 4 is 115         Part B. angle 7 is 65        Part C angle 3 is 65

Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4         Part B. alternate exterior angle of 2      Part C. corresponding angle of 7

John plans a journey to visit his sister in Newcastle.
He wants to fill up the bottle for the windscreen washer before he starts the journey.
John mixes 1 part screen wash with 5 parts water.
He uses 125 ml of screen wash.
(a) How much water should John use?​

Answers

Step-by-step explanation:

For the series-parallel network: a. Find the current I. b. Find the currents /3 and 19.

13° N What is the measurement of N? es​

Answers

Answer: ..The 13 N + 12,13 C elastic scatterings have been measured at laboratory energies of 16.3, 20. and 29.5 MeV.

Step-by-step explanation:

SOLVE FOR w
-3(w + 5) = -6

Answers

Answer:

Step-by-step explanation:

-3w - 15 = -6

-3w = 9

w = -3

Answer:

w = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-3(w + 5) = -6

Step 2: Solve for w

[Division Property of Equality] Divide -3 on both sides:                              w + 5 = 2[Subtraction Property of Equality] Subtract 5 on both sides:                     w = -3

11z > -33 help please

Answers

11z > -33

11z / 11 > 33 / 11

z > 3

Hope it helps!

If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?

Answers

p=282 pounds per square foot =1 376.8 kg/m2

d- density of water

d≈997 kg/m³

p=d*h

h=p/d

h=1 376.8/997

h=1.38 m (about 4530 feet 105⁄64 inches)

HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10

Answers

Answer:

A, C, and D

Step-by-step explanation:

Answer: A - C - D  

Step-by-step explanation:

A= 21

B= 19

C= 21

D= 21

E= 20

A rectangle has a length of (x+3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle?

Answers

Answer:

Step-by-step explanation:

Perimeter = 2L + 2W = 24

L+W = 12

(x+3)+(x/2) = 12

2x+6 +x = 24

x = 6 cm

L = x+3 = 9 cm

n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46

Answers

Answer:  D) 46

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

Explanation:

We have these 8 given facts

N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36

Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.

Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.

Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.

Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.

If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.

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

So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17

In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.

From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.

The last value to fill in is the 36 from fact 8. This goes outside all of the circles.

The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.

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

Using that diagram of filled in values, add up every number written down:

17+9+39+12+10+36 = 123

We have 123 items so far in the universal set

We're told that n(U) = 147, meaning there are 147 items total in the universal set.

This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.

That 24 adds to the other numbers inside circle C to get to the final answer

12+10+24 = 46

Choice D is the answer.

Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.

In a school,2/15 of the students are boys and the rest are girls .If the number of girls is 1950,Find 5he number of boys​

Answers

Answer:

300

Step-by-step explanation:

[tex]5x/x-4=20/x-4+3[/tex]

Answers

Answer:

x=4

Step-by-step explanation:

multiplying everything by x-4 we get

5x=20+3x-12

2x=8

x=4

if my answer helps please mark as brainliest.

Find the missing lengths or missing angles.

Answers

Answer:

M = 70° ( base angles of isosceles triangles are equal)

Answer: M = 70° ( base angles of isosceles triangles are equal)

Step-by-step explanation:

Reduce to simplest form
+

Answers

Answer:

?

Step-by-step explanation:

What is the question?

how do you express 90 inches in yards and inches.

Answers

2.5 yards ahbdjxnejs

Answer:

90 inch=2.5 yard

Step-by-step explanation:

divide the length value by 36

happy to help ya :)

Which sign makes the following statement true? 2/5 _____ 6/15

Answers

Answer:

2/5=6/15

Step-by-step explanation:

2/5

3x2=6

3x5=15

compare they are same

give me brainliest pls

The equal sign completes the give incomplete mathematical statement.

What is a mathematical function, equation and expression?            function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

The given incomplete expression is -

2/5 _____ 6/15

The given expression is -

2/5  ____  6/15

2/5  ____ 2/5

0.4  ____ 0.4

0.4 = 0.4

Therefore, the equal sign completes the give incomplete mathematical statement.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

que pasa si un objeto imparable choca con uno inabobible​

Answers

English Answer: No object can resist an irresistible force. No force can move an immovable object. So if an immovable object meets an irresistible force it will move and not move.English:

Spanish Answer: Ningún objeto puede resistir una fuerza irresistible. Ninguna fuerza puede mover un objeto inamovible. Entonces, si un objeto inamovible se encuentra con una fuerza irresistible, se moverá y no se moverá.

Step-by-step explanation:

¿Qué pasaría si una fuerza imparable chocara contra un objeto inamovible? Las respuestas comunes a esta paradoja recurren a la lógica y a la semántica.

Lógica: Si existe una cosa tal como una fuerza imparable, entonces no puede existir un objeto inamovible y viceversa. Es lógicamente imposible la existencia de los objetos (una fuerza imparable y un objeto inamovible) en un mismo universo al mismo tiempo.

Semántica: Si existe una cosa tal como una fuerza imparable, entonces hablar de un objeto inamovible no tendría sentido en ese contexto y viceversa, con lo cual el asunto vendría a ser algo así como preguntar, por ejemplo, por un triángulo de cuatro lados.

Write the fraction as a decimal and percent (two answers)
144/200 of the tickets

Answers

Answer:

Answers: 0.72 and 72%.

Step-by-step explanation:

144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.

pls plz plz plz plz plz help me pls

Answers

Answer:

7 i think

Step-by-step explanation:

Answer:

8 square units I believe!

Step-by-step explanation:

Hope that helps!

2,5 1,3. 9,20. 13,30. ​

Answers

Answer:

13/10  < 25/10  < 92/10  < 133/10

Step-by-step explanation:

13/10 is less than 5/2 is less than 46/5 is less than 133/10

Complete the square to: n2 + 4n - 8 = 0

Answers

Answer:

(n + 2)² = 12

Step-by-step explanation:

[tex] {n}^{2} + 4n - 8 = 0 \\ {n}^{2} + 4n = 8 \\ {n}^{2} + 4n + 4 = 8 + 4 \\ {(n + 2)}^{2} = 12[/tex]

How do you graph y = (4 – x)(x + 2)?

Answers

Answer: look at the picture

Step-by-step explanation: hope this help

Kaliq and Maria ench improved their yards by planting grass sod and shrubs. They bought their supplied from the same store. Kali spent $119 on 14ft^2 of grass sod and 3 shrubs. Mana spent 398 on 7ft^2 of grass sod and 7 shrubs. Find the cost of one ft^2 of grass sod and the cost of one shrub​

Answers

Answer:

i dont get it

Step-by-step explanation:

A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?

Answers

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4  1/4 of 90= 22.5  90-22.5=67.5

Step-by-step explanation:

Whoever answers first gets brainliest

Answers

Hi , what I should answer ??

Step-by-step explanation:

nasaan po ang tanong, where is the question

Can someone help me some of my answer are Incorect thank you

Answers

Answer:

just to help you i dont know the answers but you should hide the link because everyone can  find your location

answer asap please!!

Answers

Answer:

61.6 units

Step-by-step explanation:

C (-8,-10)

D (8,10)

E (-8,10)

find the distance between the following points

CD = 25.6

DE = 16

EC = 20

Add them all up

61.6 units

Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?​

Answers

Answer:

80 miles in 4 days.

Step-by-step explanation:

48/12 = 4

4 miles per day

4 × 20 = 80

80 miles in 4 days

help math eeekkkkkkk

Answers

Answer:

Step-by-step explanation:

A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form

Answers

The answer is 3(x−2)
Other Questions
BRAINLIEST GOES TO THE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Ben is an aeronautical engineer who helps build rockets. What talent might help Ben in his career?A. Ben is outgoing and friendly.B. Ben loves to create art.C. Ben is patient with others.D. Ben is great at math calculations. In solving quadratic equation, if the constant term is missing what is the best method touse? multiples that are shared by two or more numbers called I need help with this question These are congruent. What is the measurement of E? In the number 8246315 what sigit is in the ones place the given passage has errors it's a edition passagesolve it correctly and I'll mark you the brainliast (GIVING BRAINLIEST!!)Which component of weather describes the weight of the atmosphere pressing down on Earth?A) Air pressureB) Air temperatureC) PrecipitationD) Wind direction If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (gf)(8) In which court is the decision of the court always final?US Supreme CourtDistrict CourtsCourt of AppealsCircuit Court "How has science fiction influenced technology?" Read what others have to say on the topic, and then form your own opinion.Write a response of at least 150 words that states your position on the topic and give two reasons that support your conclusion.Credible and reputable websites include library databases, university websites, and website addresses ending with a ".edu" or ".gov"." Make sure to cite your sources in accordance with MLA guidelines. View the MLA Style Guide. Papa Johns is one of the fastest-growing pizza delivery and carry-out restaurant chains in the country. Presented here are selected income statement and balance sheet amounts (dollars in thousands). Current Year Prior Year Net sales $ 1,242,087 $ 1,242,087 Net income 51,796 22,735 Average shareholders' equity 121,445 134,536 Average total assets 390,143 397,728 Required: 1. Compute ROA for the current and prior years. (Round your answers to 3 decimal places.) Harry got a raise. He now makes 105% of his old salary.If his old salary was $55,000, what is his new salary?helppp PLEASE HELP ASADWhich statements are correct? Select all that apply.Multiply g by 23 to get m.Multiply m by 23 to get g.The missing value in the last row is 70.The missing value in the last row is 92.A real-world situation that is represented in the table is Rios car gets 23 miles per gallon..A real-world situation that is represented in the table is Rios car gets 1 mile per 23 gallons.. Read the Greek and Latin words and definitions. alma mater: a school at which one has studied at and graduated from et cetera: and more; and so forth per diem: by the day; daily ad hoc: improvised Choose the Latin or Greek phrase that best fits each sentence. My music teacher is always talking about pitch, tone, melody, . When the neighbors showed up for dinner, my father made a[n] meal. I want to go to Harvard University because it's my mother's . Rugen's first job paid his paycheck , rather than weekly. 4.Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f)Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context. A round swimming pool has a radius of 12 feet. What is its circumference? Question 11A house is currently worth $120,000 and is increasing in value at a rate of 6% per yearWhich explicit expression would model the value of the house after 3 years?A120,000(0.94)3B120,000(1.06)120,000 + 0.94 (3)120,000 + 1.06 (3)D You are boiling water to cook some noodles. You notice bubbles forming on the bottom of the pot. Your brother thinks it is a chemical change. Is he correct?Yes. The bubbles contain hydrogen and oxygen that separated from the water.Yes. The bubbles are now filled with air.No. The water changes into carbon dioxide.No. It is a physical change when water is heated and is converted into water vapor.