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

To make a base for a jar of handmade cream, Barbara needs 3 tablespoons of coconut butter for every cup of beeswax. Which statement below is TRUE about this scenario?
a) The ratio of a jar of handmade cream to coconut butter is 3:1.
b) The ratio of beeswax to coconut butter is 3 to 1.
c) The ratio of beeswax to coconut butter is 1 to 3.
d) The ratio of coconut butter to beeswax is 1 to 3.

Answers

Answer:

c) The ratio of beeswax to coconut butter is 1 to 3.

Step-by-step explanation:

A ratio can be defined as a mathematical expression used for the comparison of two (2) values or quantities.

Basically, a ratio gives the relationship between two values or quantities by comparing them together. It is typically written in the form; x : y

In this scenario, to make a base for a jar of handmade cream, Barbara needs 3 tablespoons of coconut butter for every cup of beeswax. The statement which is true about this scenario is that, the ratio of beeswax to coconut butter is 1 to 3.

Given the following data;

Amount of coconut butter (X) = 3 tsp

Amount of beeswax (Y) = 1 cup

The ratio of beeswax to coconut butter is;

Y : X = 1 : 3

Hence, the ratio of beeswax to coconut butter is 1 to 3.

1. Identify the slope and y-intercept of the following equation: y = 9x - 3 ​

Answers

Answer:

Step-by-step explanation:

Hey :)

Keep in mind:

y = mx + b

Where m = slope and b = y-intercept

Since we are told:

y = 9x - 3

This means m = 9 and b = -3

Therefore the slope is 9 and y-intercept is at (0,-3)

anaya is viewing her bank account online. She only sees 3 entries

Answers

What is the full question? This is just a statement.

Need full questions

The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, the two machines will have filled a certain number of water barrels at about the same time. What is that number of barrels?
A) 45 barrels
B) 50 barrels
C) 80 barrels
D) 90 barrels

Answers

The answer is B!
Hoped I helped!

According to the graph, the number of barrels that the two machines would have filled at about the same time is; Option B; 50 Barrels

We are told that;

- Two machines fill water barrels

- One machine had filled 30 barrels before the faster machine started

- At a certain tile, they would have filled a number of water barrels at about the same time.

Now, from the graph, we see that;

The red line indicates the slower machine while the blue line indicates the faster machine.

Thus, the number of barrels they would have filled at about the same time is the number of barrels that corresponds to the point where both lines intersect each other.

From the graph, the number of barrels at intersection point is 50 barrels.

Read more at; https://brainly.com/question/13808262

A number is written with a base and an exponent. What is
another name for the exponent?
-rational number
-base
-exponent
-power

Answers

Answer:

power

Step-by-step explanation:

The another name for the exponent is power, the correct option is D.

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given;

A number is written with a base and an exponent

Now,

n exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself and exponent is also called index or power.

Therefore, the answer will be exponent.

Learn more about exponentiation here:

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Please I need help. It's urgent

Answers

Answer
A- (5,5), (5,1),( 2,1),(1,5)

a-b-c=9, solve for a

Answers

Answer:

d

Step-by-step explanation:

Answer: a = 9 +b + c

Steps: a - b - c = 9

Subtract -b and -c from both sides:  a - b - c - (-b -c) = 9 - (-b -c)

Simplify: a = 9 +b + c

Plz mark brainliest:)

terminating decimals are sometimes,never,always rational numbers ​

Answers

Answer: The answer is Always any number that can be made into a fraction or decimal is a rational number.

Step-by-step explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

Chari deposits $5,000 in a savings account earning 5.75% simple interest per year. Part A How much interest will Chari earn for a period of 10 years

Answers

Answer:

2,875

Step-by-step explanation:

$5000 • 5.75% ( or 0.0575 ) = $2,875

Pls help me I don't know what to do here

Answers

Answer:

3/9

1 x 3

1 x 9

Step-by-step explanation:

846 x (84) what is it?

Answers

If it’s simple multiplication, the answer should be 71,064. It can be solved by hand or by calculator

ima just give all my points away.

P.S
I don't like you brainly.

Answers

Answer:

interesting

Step-by-step explanation:

Answer:

thx!

Step-by-step explanation:

What is the decimal equivalent of 18/5

Answers

The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.

The decimal equivalent of 18/5 is 3.6.

What is the decimal equivalent of 18/5?

To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.

When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6

Learn more about decimal

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NO ONE IS HELPING ME PLEASE IM FINNA CRY
The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.
Which of the following functions can be used to find the nth term of the arithmetic sequence?

A.
f(n) = -n

B.
f(n) = n + 4

C.
f(n) = -3n + 8

D.
f(n) = 0.5(n+5) + 2

Answers

The answer will be d luv❤️

What is the length of the third side of the window frame below?
A. 10 inches
B. 12 units
C. 16 units
D. 20 units

Answers

Answer:

20 units

Step-by-step explanation:

a^(2)+b^(2)=c^(2)

48^(2)+b^(2)=52^(2)

2304+b^(2)=2704

2304-2304+b^(2)=2704-2304

b^(2)=400

\sqrt(b^(2))=\sqrt(400)

b=20

therefore,20 is the length of the unknown side

-plz mark brainliest-i try hard to help u guys

if you have a question on som else let me know

State the degree of the polynomial.
3x2y + 4xy + 1 − 5x4y − 6y,

Answers

Answer:

The degree of the given polynomial is 5

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

The degree of a monomial is the sum of the exponents of the variables that appear in it.

We have the following polynomial:

[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]

Degree of the first monomial: 2+1=3

Degree of the next monomial: 1+1=2

Degree of the next monomial: 0

Degree of the next monomial: 4+1=5

Degree of the next monomial: 1

Thus, the degree of the given polynomial is 5

what is Evaluate 4/5-3/7​

Answers

Answer:

[tex] \frac{13}{35} [/tex]

Step-by-step explanation:

To add or subtract two or more fractions from each other, the denominators have to be the same. To make the denominators the same, we should find the least common multiple of 5 and 7. The least common multiple of 5 and 7 is 35. 5 should be multiplied with 7 to get 35 and 7 should be multiplied with 5 to get 35 (with both numerators).

[tex] \frac{4}{5 } - \frac{3}{7} [/tex]

[tex] \frac{4 \times 7}{5 \times 7} - \frac{3 \times 5}{7 \times 5} [/tex]

[tex] \frac{28}{35} - \frac{15}{35} [/tex]

[tex] \frac{13 }{35} [/tex]

When subtracting, only subtract the numerators (the denominators are kept as is).

Answer:

the answer is 13/35

Step-by-step explanation:

Question 3
If a = -3, b = 2 and c = -4 find the value of the expression.
6a – 3b + 2c

Answers

Answer: -32

Step-by-step explanation:

You just have to plug in where you see the variables

6(-3) - 3(2) + 2(-4)

-18 - 6 - 8

Answer:

-32

Step-by-step explanation:

An ice cream shop is testing some new flavors of ice cream they invent 25 new flavors for customers to try and throw out the 13 least popular flavors the shop makes 80 cartons of each of the remaining flavor it takes two cartons to get on liter of ice cream. How much total ice cream is in the cartons

Answers

Answer:

480

Step-by-step explanation:

25-13=12

12 x 80=960

960 divided by 2=480

Cathy buys 7 ounces of dried cherries in bulk. If dried
cherries cost $0.41 per ounce, how much will she pay?
$2.87
B $0.28
C $2.15
D $3.07

Answers

Answer:

A. $2.87

Step-by-step explanation:

A because it’s the answer

Which list shows the absolute values in order form least to greatest?

Answers

I believe the answer is D

Why do you think Priya and Noah may have found different measurements for the same desk?

Answers

Answer:

Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.

Answer:Priya used cm to measure the desk while Noah used inch to measure the desk that is why they found different measurement for same desk.

what is the Greatest common factor shared by 80 and 100

Answers

Answer:

20

Step-by-step explanation:

[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]

so for two is

[tex]2^2[/tex]

and for 5 is

[tex]5[/tex]

so we multiply both

[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]

we can use the euclidean algoritm as follows

[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]

A line contains the points (-26, -37) and (-32, -61). What is the slope of the line in simplified form? -3 −14 14 3

Answers

M=4
Pls mark me brainliest

I need help please!!

Answers

Answer:

rotation

Step-by-step explanation:

tis is a rotation around line x=y

Help plsssss!!!!!!!!!!!!!

Answers

Answer:

The second option

Step-by-step explanation:

AIJK = APQR. If mZI = 3x + 4

Answers

X = 17

Hope this helped :)

If 4x = 64,
find the value of 2x + 3.

Answers

Answer:

35

Step-by-step explanation:

4x=64

divide that: =16

x=16

2(16)+3

35

given the diagram prove that m

Answers

Answer:

prove that it doesn't even exist lol

there’s no diagram & the question isn’t finished lol

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y=-8x² + 539x – 3710

Answers

8^2 gives you 64. 64x + 539x=603.

Step-by-step explanation:

Your answer would be y=603x-3710

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