Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 2.5 month. 34 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible.

Suppose The Age That Children Learn To Walk Is Normally Distributed With Mean 12 Months And Standard

Answers

Answer 1

Answer:

Step-by-step explanation:

a.) it's just mean, variance

so here it's just 12,6.25

b.) For the x bar thing just divide the variance by the number of people (mean stay the same)

the variance is then (2.5²/34)= .1838

which makes it (12,.1838)

c.) here we don't use x bar (and so it's normal (12,2.5²))

p(11.6) = (11.6-12)/(2.5)= -.16 = .4364

p(12.4)= (12.4-12)/2.5 = .16= .5636

.5636-.4364= .1272

d.) here we use x bar because it's asking for an average so it's normal (12, .1838)

same deal

p(11.6)=(11.6-12)/√.1838= -.93295= .1762

p(12.4)= (12.4-12)/√.1838= .93295= .8238

.8238-.1762= .6476

d.) no because they're probably IID

f.) It's average so here we use x bar

q1 is just the 25th percentile

the 25th percentile is -.6745

-.6745=(x-12)/(√.1838)= 11.711

q3 is the 75th percentile

.6745=(x-12)/√.1838

x=12.289

The interquartile range is just the difference between the two

12.289-11.711= .5784


Related Questions

For this problem what I did was add all the measurements and I got 48 m. However, it is wrong. How do I go about solving the perimeter then?

Answers

9514 1404 393

Answer:

  66 m

Step-by-step explanation:

The perimeter is the sum of the measures of all of the sides. There are two side measures that are missing from the diagram.

The missing horizontal measure is ...

  17 m - 8 m = 9 m

The missing vertical measure is ...

  16m -7 m = 9 m.

If you add these to the sum you already calculated, you will get the correct answer:

  48 m + 9 m + 9 m = 66 m . . . perimeter of the figure

_____

If you're paying attention, you see that the sum of the measures of the two shorter horizontal segments is the same as the measure of the longer horizontal segment. Likewise, the sum of the measurements of the two shorter vertical segments is the same as that of the longer vertical segment.

In other words, the perimeter of this (and any) L-shaped figure is the same as the perimeter of a rectangle having the same horizontal and vertical dimensions as the long sides of the figure.

  P = 2(17 m +16 m) = 2(33 m) = 66 m

A bag contains 7 red marbles, 11 blue marbles, and 7 yellow marbles.
Two marbles are selected, one at a time, without replacement.
Find the probability that the first marble is blue and the second marble is red.
Express your answer as a decimal, rounded to the nearest hundredth.
1 pts
Ounction 3

Answers

Answer:

the total of marbles = 7 red + 11 blue + 7 Yellow

= 25 marbles

P ( b n r) = 11/25 + 7/24

=0.732

Step-by-step explanation:

1. find the total marbles

2. find the probability of each without replacement means the demoinator will reduce

3.add the two probability

identify the largest value in fraction 3/4, 1/2, 3/5

Answers

Answer:

1/2

Step-by-step explanation:

The largest value in fraction it is 1/2 because the fraction is small amount .while the 3/4 is least amount .and 3/5 is greatest amount fractions

Helpppppppppppp!!!!!!!!!


If you apply the changes below to the absolute value parent function f(x) = |x|, which of these is the equation of the new function

• shift 4 units to the left
• shift 6 units up .

Answers

Answer: D

Step-by-step explanation:

Try to draw the X and Y axis: When you shift the function to left it translates as going to the left of the X axis. So what you want is that every value of X on the parent function to correspond to the same x value minus four.

You can apply the same logic to get the + 6

A board is 87 cm in length and must be cut so that one piece is 21 cm longer than the other piece. Find the length of each piece. Round your answers to the nearest centimeter, if necessary. * + 21?​

Answers

Thank you for answer Yey can I answer in my subject

One invests 100 shares of IBM stocks today. He expects that there could be five possible opening prices with the respective probabilities at 9:30 a.m. in NYSE the next day. The following table lists these possible opening prices and their respective probabilities:
Outcome 1 Outcome 2 Outcome 3 Outcome 4 Outcome 5
Possible Opening
Price of IBM, Xi $182.11 $163.88 $180.30 $216.08 $144.92
Probability, pi 13% 19% 33% 17% 18%
Let X represent the five random opening prices of IBM the next day, calculate the mean, variance, and the standard deviation of X. Make your comments on the results you obtain.

Answers

Answer:

[tex]E(x) = 177.130[/tex]

[tex]Var(x) = 484.551[/tex]

[tex]\sigma = 22.013[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): The mean

This is calculated as:

[tex]E(x) = \sum x * p(x)[/tex]

So, we have:

[tex]E(x) = 182.11 * 13\% + 163.88 * 19\% + 180.30 * 33\% + 216.08 * 17\% + 144.92 * 18\%[/tex]

Using a calculator, we have:

[tex]E(x) = 177.1297[/tex]

[tex]E(x) = 177.130[/tex] --- approximated

The average opening price is $177.130

Solving (b): The Variance

This is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where:

[tex]E(x^2) = \sum x^2 * p(x)[/tex]

[tex]E(x^2) = 182.11^2 * 13\% + 163.88^2 * 19\% + 180.30^2 * 33\% + 216.08^2 * 17\% + 144.92^2 * 18\%[/tex]

[tex]E(x^2) = 31859.482249[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 31859.482249 - 177.1297^2[/tex]

[tex]Var(x) = 31859.482249 - 31374.9306221[/tex]

[tex]Var(x) = 484.5516269[/tex]

[tex]Var(x) = 484.551[/tex] --- approximated

Solving (c): standard deviation

The standard deviation is:

[tex]\sigma = \sqrt{Var(x)}[/tex]

[tex]\sigma = \sqrt{484.5516269}[/tex]

[tex]\sigma = 22.0125418796[/tex]

Approximate

[tex]\sigma = 22.013[/tex]

PLEASE HELLPP!!! Choose the best graph that represents the linear equation:
-x = 2y + 1
Graph A
On a coordinate plane, a line goes through (negative 1, 0) and (1, negative 1).
Graph B
On a coordinate plane, a line goes through (negative 3, negative 1) and (1, 1).
Graph C
On a coordinate plane, a line goes through (1, 0) and (5, negative 2).
Graph D
On a coordinate plane, a line goes through (negative 3, negative 2) and (1, 0).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

C

Step-by-step explanation: just C-

Answer: Its not c

Step-by-step explanation: It is A

For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers


This is due on 7/1/2021 at 8AM PST. Someone please help?

Answers

5x-3=12 I hope this is right I tried my best I am sorry if you get it wrong

I need help. What’s the answer and how do you do this?

Answers

Scale factor is 1/2 or 0.5

One of the sides of figure A is 4 units, Same side for Figure B has TWO units.
Which is basically half the size of the original (figure A)

Find the width of a photograph whose length is 24 inches and whose proportions
are the same as a photograph that is 3 inches wide by 4 inches long.

Answers

A photograph having length of 24 inches which is proportionate to another photograph having dimensions 3 × 4 inches, has width of 18 inches.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

Let the width of the photograph be x inches.

The length of the photograph is 24 inches.

A similar proportion photograph has width as 3 inches.

A similar proportion photograph has length as 4 inches.

The equation to find the width of photograph is -

x / 24 = 3 / 4

Simplify the equation -

x = (24 × 3) / 4

x = 72 / 4

x = 18

Therefore, the width value is 18 inches.

To learn more about proportion from the given link

https://brainly.com/question/19994681

#SPJ1

please help me out with this.

Answers

Answer:

B. -infinity < x < infinity

Step-by-step explanation:

Since it's linear and kind of horizontal, it stretches to infinity on both sides (indicated by arrows on both sides of the line.

write the equation of the line shown in the graph above in slope-intercept form

Answers

y = mx + c
y= -2/3x + 1
1= c
Answer: y= -2/3x+1


Step 1: Write slope-intercept form equation

To start answering this question, it helps to write out the example equation for slope-intercept form. Let’s do this now.

y=mx+b

Keep in mine that the y represents the answer, the m represents the slope, the x represents the variable, and the b represents the y-intercept.

Step 2: Determine the y-intercept

I find that it is easiest to determine the y-intercept first. This is the b in the equation. The y-intercept can be find by looking at the y-axis, and seeing where the line intersects with the axis. In this case, it seems to be at 1. Let’s substitute this into our equation now.

y=mx+b
y=mx+1

Step 3: Determine slope

For the final thing that we need to fill in, we need to find the slope. The slope is the m in the equation, and can be found by the formula of rise/run. Choose any two points, and see how far they are from each other up and down (rise), as well as left and right (run).
For the sake of this problem, we will work with (0,1) and (-3,3). There is a difference in the rise of 2 and in the run of 3. This makes the rise/ run be 2/3. Let’s substitute this now.

y=mx+1
y= 2/3x+1

The slope will also need to be negative since the line on the graph descends. Let’s change this to a negative now.

y= -2/3x+1


This is your answer. Hope this helps! Comment below for more questions.

is there a formula for this?
help asap!!

Answers

Answer:

yes

Step-by-step explanation:

the answer is c well thats what my teacher said

Answer:

B

Step-by-step explanation:

using sine rule

[tex] \frac{y}{sin \: 45} = \frac{5}{sin \: 45} \\ y = 5[/tex]

using sin rule

[tex] \frac{x}{sin \: 90} = \frac{5}{sin \: 45} \\ \\ 5sin90 = xsin45 \\ \\ x = \frac{5 \: sin \: 90}{sin \: 45} \\ x = \frac{5}{0.7071} \\ x = 7.071[/tex]

x=5√2

lenguaje coloquial de x-y

Answers

Answer:

Uhh what??

Step-by-step explanation:

I dont understand you ●___●

a) Read section 1.5 in the Yakir textbook. If you were a teacher and had 30 students in your class and wanted to know the class average on the first quiz, would you use a parameter or a statistic

Answers

Answer:

Parameter

Step-by-step explanation:

Required

Parameter of Statistic

From the question, we understand that the teacher is to calculate the class average.

To calculate the class average, the teacher will use the mean function/formula, which is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

Generally, mean is an example of a parameter.

So, we can conclude that the teacher will use parameer

PLEASE HELP: A standard six-sided die is rolled.
What is the probability of rolling a number greater than 4? Express your answer as a simplified fraction or a decimal rounded to four decimal
places.

Answers

Answer in fraction form is 1/3

Answer in decimal form is 0.3333

Pick one answer only.

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

Explanation:

The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6

S = sample space

S = {1,2,3,4,5,6}

There are 6 items here. Let B = 6.

We want to roll a number greater than 4, so the event space we're after is

E = {5,6}

which consists of 2 items. Let A = 2.

The probability we want is A/B = 2/6 = 1/3 = 0.3333

So if you go with the fraction option, then you'll type in 1/3

If you go with the decimal option, then you'll type in 0.3333

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation below. The value of x in terms of b is . The value of x when b is 3 is .

Answers

Answer: x=-3/3=-1

Step-by-step explanation:

To solve for x in terms of b, simply treat b as a number, and solve for x as usual: first of all, we expand the left hand side:

-2bx+10=16

Subtract 10 from both sides:

-2bx=6

Divide both sides by -2b:

x=6/-2b=-3/b

This means that in particular, if we set b=3 , we have

x=-3/3=-1

15. The area of a triangle is 72 in the base is 12 in. Find the height.​

Answers

Answer:

[tex]hright =12[/tex]

Step-by-step explanation:

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

The formula to find the area of a triangle is  [tex]A=\frac{1}{2}bh[/tex]  where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.

But we already know the area and the base. So to find the height, let's substitute 72 for [tex]A[/tex] and 12 for [tex]b[/tex], and solve.

[tex]72=\frac{1}{2}(12)(h)[/tex]

[tex]72=6h[/tex]

Here, divide both sides by 6

[tex]12=h[/tex]

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

Hope this is helpful.

Answer:

height = 12

Step-by-step explanation:

.............

If s(x)= 2 -x^2 and f(x)=3x, which value is equivalent to (s°f)(-7)

Answers

I got ((sof)-7) = -439

If F is the function defined by F(x)=3x−1, find the solution set for F(x)=0.

Answers

The solution for set F(x) is -1


If llm and m<6 = 4x - 15 and m<7 = x + 30, then m<6=

Answers

Answer:

Step-by-step explanation:

There are only 2 angle values  that <1 to <8 can be. The two values add up to 180

In this case <6 and <7 are equal.

<6 = 4x - 15

<7 = x + 30

4x - 15 = x + 30             Subtract x from both sides

4x-x - 15 = 30                Add 15 to both sides

3x = 30 + 15

3x = 45                         Divide by 3

x = 45 / 3                          

x = 15

<6 = 4x - 15

<6 = 4*15 - 15

<6 = 60 - 15

<6 = 45

The last dividend paid by Wilden Corporation was $1.55. The dividend growth rate is expected to be constant at 1.5% for 2 years, after which dividends are expected to grow at a rate of 6.0% forever. The firm's required return (rs) is 12.0%. What is the best estimate of the current stock price?

Answers

Answer:

Net present value= $25.17

Step-by-step explanation:

We are told that The last dividend paid was $1.55 and that the dividend growth rate is constant at 1.5% for 2 years.

Thus;

1) After 1st year;

1.55 × (1 + 0.015) = 1.57325 Div1

After 2nd year;

1.57325 × (1 + 0.015) = 1.59685 Div2

After that 2 years it grows at 6% Constant rate forever;

1.59685 × (1 + 0.06) = 1.69266 Div3

Let's now use the dividend formula which grows in perpetuity at a rate of "g" since required return is 12%:

Thus;

V = 1.69266/(0.12 - 0.06) = 28.211

Thus; Div2 = 28.211 + 1.59685 ≈ 29.80785

Now, using the financial calculator of the Cash Flow function, we have:

Div0 = 0

Div1 = 1.57325

Div2 = 29.80785

i% = 12

Net present value = (1.57325/(1 + 0.12)) + ((1.59685 + 28.211)/(1 + 0.12)²)

Net present value= $25.17

What is the value of y?

Enter your answer, as an exact value, in the box.

Answers

Answer:

y=4√3 units

Step-by-step explanation:

Hi there!

We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y

We need to find the value of y (BC)

The side AB is the hypotenuse of the  (the side opposite from the right angle).

BC is a leg, which is a side that makes up the right angle.

Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to [tex]\frac{a\sqrt{3}}{2}[/tex], where a is the length of the hypotenuse

Since we have the hypotenuse given as 8, the length of BC (y) is [tex]\frac{8\sqrt{3}}{2}[/tex], or 4√3

so y=4√3 units

Hope this helps!

Simplify your answer

Answers

Answer:

= F^2 x^2

Step-by-step explanation:

(F(x))^2

Apply the rule: (a) =a     (x) = x

= (Fx)^2

Apply exonent rule: (a . b)^n = a^n b^n      (Fx)^2 = F^2 x^2

= F^2 x^2

How many voters should be sampled for a 95% confidence interval? Round up to the nearest whole number.

Answers

Answer:

467 voters

Step-by-step explanation:

Given

See attachment for complete question

Required

Sample size at 95% confidence interval

From the attachment, we have:

[tex]p = 65\% = 0.65[/tex]

[tex]E = 4.33\% = 0.0433[/tex]

[tex]CL = 0.95[/tex]

[tex]\alpha = 0.05[/tex] i.e. 1 - CL

First, we calculate the critical level

At [tex]CL = 0.95[/tex] and [tex]\frac{\alpha}{2}[/tex]

[tex]z^* = 1.96[/tex] --- the critical level

So, we have:

[tex]n = p * (1 - p) * (\frac{z^*}{E})^2[/tex]

[tex]n = 0.65 * (1 - 0.65) * (\frac{1.96}{0.0433})^2[/tex]

[tex]n = 0.65 * (1 - 0.65) * (45.3)^2[/tex]

[tex]n = 0.65 * 0.35 * 2052.1[/tex]

[tex]n = 466.9[/tex]

[tex]n = 467[/tex] --- approximated

How long will it take the same crew to clear the entire plot of 2 1/2 acres?

Answers

Answer:

It will take 15 days for the same crew to clear the entire plot of 2 1/2 acres.

Step-by-step explanation:

Given that a crew clears brush from 1/3 acre of land in 2 days, to determine how long will it take the same crew to clear the entire plot of 2 1/2 acres, the following calculation must be performed:

1/3 = 0.333

1/2 = 0.5

0.333 = 2

2.5 = X

2.5 x 2 / 0.333 = X

15 = X

Therefore, it will take 15 days for the same crew to clear the entire plot of 2 1/2 acres.

Which of the following is NOT true of a perpendicular bisect or?

Answers

Answer:

The forth option

It forms a right angle with the segment.


Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.


Answers

Answer:

Step-by-step explanation:

Um where is the diagrahm

1/3=?/24
Which number is missing to make the equation true?​

Answers

Answer:

8

Step-by-step explanation:

Your answer is 8 multiply each by 3

(6a/8+3) + 7a/8...........

Answers

Hello!

(6a/8+3) + 7a/8 =

= 6a/11 + 7a/8 =

= 125/88 × a

Good luck! :)

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