While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the age at which Bavaria develop the ability to walk can be described by normal distribution model, find the mean and standard deviation of the normal model

Answers

Answer 1

Answer:

Mean is 12.13 months

Standard deviation is 1.29

Step-by-step explanation:

We need to use z-score here

Let the mean of the distribution be a while the standard deviation be b

Mathematically;

z-score = (x-mean)/SD

We can obtain the probability from the z-score

Now, for the 10th month

The z-score for a probability of P = 0.05(5%)

Can be obtained from the standard normal distribution table and that is;

-1.645

Hence;

-1.645 = (10 - a)/b

-1.645 b = 10 - a

a = 10 + 1.645b ••••••(i)

For the 13 month, we have a proportion of 75%

The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table

Hence;

0.674 = (13-a)/b

0.674b = 13 - a

a = 13 - 0.674b. •••••(ii)

Now equate both a;

10 + 1.645b = 13 - 0.674b

13-10 = 1.645 b+ 0.674b

3 = 2.319b

b = 3/2.319

b = 1.294

So the mean a will be

10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13

So mean is 12.13


Related Questions

You start at (-3,0). You move down 2 units and left 1 unit. Where do you end?

Answers

Answer: should end up on (-4 , -2)

Step-by-step explanation:

What is the equation of this graph?

A. y = 2x + 7
B. y = -2x + 7
C. y = -2/7x + 7
D. y = -7/2x + 7
E. y = -7/2x + 2

Answers

Uhh I’m not sure but I think it’s A. I’m not 100%
yes the answer is definitely A. y=2x+7

Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answers

Answer:

The correct option is;

Corresponding angles theorem

Step-by-step explanation:

Type of lines of lines a and b = Horizontal and parallel lines

The transversal to a and b = Line c

The angles between a and c labelled clockwise from the upper left quarter segment =  1, 2, 4 and 3

The angles between b and c labelled clockwise from the upper left segment =  5, 6, 8 and 7

Therefore, we have;

Statement   [tex]{}[/tex]                                                   Reason

1. a║b, c is a transversal   [tex]{}[/tex]                             Given

2. ∠6 ≅ ∠2       [tex]{}[/tex]                                              Corresponding angles theorem

3. m∠6 = m∠2       [tex]{}[/tex]                                         Definition of congruent

4. ∠6 is supp. to ∠8        [tex]{}[/tex]                               Definition of linear pair

5. ∠2 is supp. to ∠8        [tex]{}[/tex]                               Congruent supplement theorem

Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.                        

Are rational numbers closed under squaring?

Answers

Answer:

The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication

Step-by-step explanation:

which is a unit rate? plis help :c

Answers

Answer:

6 hours : 1 book

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

4(r + 20) = 1/5(20r + 400)

Answers

Answer:

r = r

Step-by-step explanation:

4(r + 20) = 1/5(20r + 400)

4r + 80 = 4r + 80

    - 80         - 80

4r = 4r

4      4

r = r

Answer:

no solution

Step-by-step explanation:

4(r + 20) = 1/5(20r + 400)

4r + 80= 4r+ 80

-4r           -4r

80= 80

Hope this helps

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of -36.14 degrees Celsius and a boiling point of 324.84 degrees Celsius . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid​ state?

Answers

Answer:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = [tex]\frac{9}{5}[/tex] θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C

⇒ F =  [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32

      = [tex]-33.052^{o}[/tex]F

The boiling point = [tex]324.84^{o}[/tex]C

F =  [tex]\frac{9}{5}[/tex] x  [tex]324.84^{o}[/tex] + 32

  = [tex]616.712^{o}[/tex]F

The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Steve and Brian are both avid bicyclists. Each week, Steve rides for a total of 2x hours at an average speed of x miles per hour.
sBrian rides 6 more hours a week than Steve, but at an average speed that is 4 miles per hour less than Steve's average speed.
Which of the following functions will give the total distance that Brian rides each week, in miles?

Answers

Answer:

m(x) = 2x^2 - 2x - 24

Step-by-step explanation:

We will use the speed formula for this.

d/t = s

d is distance

t is time

s is speed

since we are looking for a function that gives the distance, we must rewrite

the equation to have d on one side of the equation by itself. We will do this by multiplying both sides by t.

(d/t)t = (s)t

which simplifies to:

d = st

Now we must find out what s and t are.

t: Steve's time riding is 2x hours, and Brian's is 6 more hours, so

Brian's time riding is 2x + 6.

so t = 2x + 6.

s: Steve's speed is x mph. Brian's is 4 less than that so

s = x - 4.

Now we can plug in what we know the the formula we made: d=st

d = (2x + 6)(x-4)

now we can FOIL.

(2x)(x)= 2x^2

(2x)(-4)= -8x

(6)(x) = 6x

(6)(-4) = -24

d = 2x^2 - 8x + 6x - 24

simplify:

Answer: d = 2x^2 -2x - 24

p.s. This was my first time answering a question on Brainly, sorry if it

was not explained well. Let me know if you have questions.

help me please !! ❤️❤️

Answers

Answer:

Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.

Step-by-step explanation:

What is the answer to the meaning of life, the universe, and everything

Answers

Answer:

no idea

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The answer to this question is 42 this is calculated by a super computer named deep for over 7.5 million years.

2
The units of the floor plan at the right are in feet. Find the
perimeter and area of each room.
a. the kitchen
Kitchen
Bedroom
b. the bedroom
c. the bathroom
20 ft
Main
hallway
d. the closet
Closet
Bathroom
e. What is the area of the main hallway? Explain how
you could find this area using the area of each room
20 ft

Answers

Answer:

Step-by-step explanation:

a). Perimeter of the kitchen = total length of all sides

                                              = 4 + 2 + 2 + 6 + 6 + 12 + 10  (Since side of one smallest square = 2 feet)

                                              = 42 ft

   Area of the kitchen = Area of the composite figure

                                     = 4² + 2² + (6 × 12)

                                     = 16 + 4 + 72

                                     = 92 square feet

b). Perimeter of bedroom = 2(length + width)

                                          = 2(12 + 8)

                                          = 40 feet

    Area of the bedroom = Length × Width

                                         = 12 × 8

                                         = 96 square feet

c). Perimeter of the bathroom = 2(9 + 4) = 26 feet

   Area of the bathroom = 9 × 4 = 36 square feet

d). Perimeter of the closet = 2(6 + 8) = 28 feet

   Area of the closet = 6 × 8 = 48 square feet

e). Area of the hallway = Total area of the floor plan - area of the (kitchen + bathroom + bedroom + closet)

  Area of the floor plan = 20 × 20 = 400 square feet

  Area of the hallway = 400 - (92 + 96 + 36 + 48)

                                    = 400 - 272

                                    = 128 square feet

What is 0.233 as a fraction in simplest form.

Answers

Answer:

233/1000

Step-by-step explanation:

(i think) probably wrong

Answer:

i thing it's 236/1000

Step-by-step explanation:

i am not sure!!!

Select the correct answer.
Which statement is true about the slope of the graphed line?

Answers

Answer:

A

Step-by-step explanation:

umm so for some reason I cant submit my answer unless theres 20 characters. :)

Last year at a certain high school, there were 50 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 8% and the number of girls on the honor roll decreased by 15%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). pls help

Answers

Answer:

46 for boys and 85 for girls

Step-by-step explanation:

6^9 divided by (6^3)^2

Answers

Answer:

6^9 over 6^9 is 1

The answer is 216
Hope that helps

4. 700 J of work is used to push an object for 12 seconds. What is the power of this machine?

Answers

Answer:

58.3333333333

Step-by-step explanation:

A number x minus 7 is at most 22?

Answers

29 (greater than or equal to symbol) x

What is the solution to

−(6m+8) =4(17−m)

Answers

Answer:

[tex]\boxed{m = -38}[/tex]

Step-by-step explanation:

[tex]-(6m+8) =4(17-m)[/tex]

→ Expand brackets

[tex]-6m-8=68-4m[/tex]

→ Add 8 to both sides to collect the whole numbers

[tex]-6m = 76-4m[/tex]

→ Add -4m to both sides to collect the m terms

[tex]-2m=76[/tex]

→ Divide both sides by -10 to isolate m

[tex]m=-38[/tex]

The value of 30 - (2 - 4) ÷ (-2) is _____.

-16
31
-14
29

Answers

Answer:

29.

Step-by-step explanation:

There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students?​

Answers

you’re mommmmmmmmmmmmmmmmmm

Answer:

4:141

Step-by-step explanation:

first, wright out a ratio with what's given

20(teachers):705(students)

next, simplify the ratio by dividing both sides by the gcf

20: 705

20/5 : 705/5

4 : 141

place the items in order from lowest to highest degree of internal organization


stomach
digestive system
epithelial stomach cell
stomach lining tissue​

Answers

Answer:

Simplest

1)Epithelial stomach cell

2)Stomach lining tissue

3)Stomach

4)Digestive system

Most complex

Answer:

1)Epithelial stomach cell

2)Stomach lining tissue

3)Stomach

4)Digestive system

I hope this helps

The length of a violin string varies indirectly with the frequency of vibrations of the string. When the length is 50 centimeters, the
frequency is 2 Hz
What is the frequency of a string 40 centimeters long?
Enter your answer in the box

Answers

Answer:

The answer is 2.5

Step-by-step explanation:

On the quiz I just type anything and that was the answer

Please help!! I don’t know it

Answers

1) m=2
B=8
Y=2x+8
2) the slop is 2
3)the slope is 0
4)the slop is -4/3

0
What is the value of 12?

Answers

Answer:

1

Step-by-step explanation:

[remember: any number raised to the power of 0 is 1]

∴ 12^0 = 1

hope it helps you!!

12 0 has the value of 1

Lois Lane leaves Metropolis driving 50 km/h. Three hours later, Superman leaves Metropolis to catch up to her, flying at 300 km/h.

When does Superman catch up with Lois?

Superman will catch up ____ hours after Lois left Metropolis.

Answers

Answer:

0.6 hours

Step-by-step explanation:

50t=300(t-3)

50t= 300t - 900

-250t=-900

t=3.6

dont forget to subtract supermans time as well

3.6-3= 0.6

Answer:

0.6 hours

Step-by-step explanation:

3. A new a bank customer with $3,000 wants to open
a money market account. The bank is offering a
simple interest rate of 1.9%
a. How much interest will the customer earn in 20 years?

Answers

Answer:

In 20 years, the customer earns 1330

Step-by-step explanation:

I =Prt

the formula for simple interest

P= 3000

r = 1.9% (0.019)

t = 20 years

(3500)(0.019)(20)= 1330

what is the formula for areas of a circle?​

Answers

Answer: (A = π r²)

Hope this helps!

What is the x-intercept ?

Answers

Answer:

-3

Step-by-step explanation:

Solve for a
3a +1=4. With a 7 under it

Answers

Answer:

a=9

Step-by-step explanation: 

(3a+1)/7=4

This deals with linear equations with one unknown.

Overview

Steps

Terms and topics

1 result(s) found

a=9

See steps

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3*a+1)/7-(4)=0  

Step by step solution :

STEP

1

:

           3a + 1

Simplify   ——————

             7    

Equation at the end of step

1

:

 (3a + 1)    

 ———————— -  4  = 0  

    7        

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

        4     4 • 7

   4 =  —  =  —————

        1       7  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3a+1) - (4 • 7)     3a - 27

————————————————  =  ———————

       7                7    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3a - 27  =   3 • (a - 9)  

Equation at the end of step

3

:

 3 • (a - 9)

 ———————————  = 0  

      7      

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(a-9)

 ——————— • 7 = 0 • 7

    7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (a-9)  = 0

Equations which are never true:

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    a-9 = 0  

Add  9  to both sides of the equation :  

                     a = 9

One solution was found :

a = 9

Hope this helps! Please mark Brainliest!

subtract the 1 multiply by 7 on each side and divide by 3 a=7

us
How many milliliters are in
12 teaspoons?
1 tsp = 5 mL
12 tsp = [?] mL
Enter

Answers

answer: 60 mL


explanation: 12x5=60
59.147 milliliters are in 12 tsp because 4.929 milliliters are in one
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