A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.3 in. The survey also found that men's heights are normally distributed with a mean 67.6 in. and standard deviation 2.9. Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.)​

Answers

Answer 1

Answer:

98.93

Step-by-step explanation:

we're looking for

4 ft 9 <x<6 ft 4

Let's convert this into inches

4 ft 9 = 57 in

6 ft 4= 76

so we're looking for

57<x<76

which is equal to

p(76)-p(57)

let's start by p(76)

(76-62.3)/2.3= 5.946521 which on a ztable is equal to 1

p(57)=

(57-62.3)/2.3= -2.3

which is equal to 1-.9893= .0107

Finally,

1-.0107= .9893 = 98.93%


Related Questions

determine the 2nd and 3rd terms of a geometric sequence of which T1 =5 and T4=40​

Answers

Answer:

Second term of this sequence: [tex]10[/tex].

Third term of this sequence: [tex]20[/tex].

Step-by-step explanation:

The first step is to find the common ratio of this sequence.

In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let [tex]r[/tex] denote the common ratio of this sequence. For this sequence:

The first term of this sequence is [tex]5[/tex]. Multiply the first term by the common ratio to find an expression for the third term: [tex]5\, r[/tex].Multiply the second term by the common ratio to find an expression for the fourth term: [tex]5\, r^{2}[/tex].Similarly, an expression for the the fourth term would be: [tex]5\, r^{3}[/tex].

However, the question states that the value of the fourth term is [tex]40[/tex]. In other words, [tex]5\, r^{3} = 40[/tex].

Solve this equation for [tex]r[/tex]:

[tex]r^{3} = 8[/tex].

[tex]r = 2[/tex].

(Since the power of [tex]r[/tex] is non-even in the equation, there's no need to consider the sign of [tex]r\![/tex] when taking the cube root.)

Substitute [tex]r = 2[/tex] into the expression for the second term and the third term to find their values:

Second term: [tex]5\, r = 10[/tex].Third term: [tex]5\, r^{2} = 20[/tex].

Will give brainliest answer, there has to be two answers to give one of you the brainliest

Answers

Answer:

C

Step-by-step explanation:

[tex] ({8}^{ { - 9})^{ \frac{ - x}{9} } } [/tex]

when putting a power to another power, then these two powers are multiplied.

so, -9 × (-x/9) = (-9 × -x) / 9 = 9x/9 = x

so, this reduces to the original

[tex] {8}^{x} [/tex]

and therefore C is the right answer.

what is the sum of the geometric series 4∑ t=1 6t-1​

Answers

Answer:

Hello friend kya in snap and p to Trisha

If u get a negative answer for exponents is it correct?

Answers

9514 1404 393

Answer:

  maybe

Step-by-step explanation:

It can be. It depends on the problem.

__

The rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

Clearly, for division problems if the denominator exponent is larger, the difference 'b-c' will be negative.

__

You recall that an exponent is the way we show repeated multiplication.

 x·x·x = x³

In division, like factors cancel, so ...

  [tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=\dfrac{x^3}{x^2}=\dfrac{x}{1}\cdot\dfrac{x\cdot x}{x\cdot x}=x^{3-2}=x^1=x[/tex]

Now, consider the same problem "upside down."

 [tex]\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{x^2}{x^3}=\dfrac{1}{x}\cdot\dfrac{x\cdot x}{x\cdot x}=x^{2-3}=x^{-1}=\dfrac{1}{x}[/tex]

What is the tangent of 0?

Answers

Answer: Tis 0

Step-by-step explanation:

A researcher designs an experiment by manipulating the following variables: temperature (low or high), illumination level (low or high), and time of testing (day or night). For a repeated measures design, how many participants would the researcher require in order to have 10 participants per condition?

Answers

Answer:

10

Step-by-step explanation:

As it could be inferred from the name, repeated measure design may be explained as experimental measures involving multiple (more than one) measures of a variable on the same observation, subject or participants which are taken at either various times or periodic intervals, different levels, different conditions. Hence, a repeated measurement taken with the same sample but under different treatment conditions. Therefore, since the measurement will be performed on a the same subjects(paired) , then the number of subjects needed will be 10. As it is this same samples that will be used for the other levels or conditions.

In parallelogram ABCD, line AC is congruent to line BD. Is ABCD a rectangle?
A. Yes
B. No
C. Cannot be determined

Answers

9514 1404 393

Answer:

  A.  yes

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other.

The diagonals of a parallelogram bisect each other. If they are also congruent, then the parallelogram is a rectangle.

Answer:

Yes.

Step-by-step explanation:

Press option yes

what term can you add to
[tex] \frac{5}{6} x - 4[/tex]
to make it equivalent to
[tex] \frac{1}{2} x - 4[/tex]

Answers

9514 1404 393

Answer:

  -1/3x

Step-by-step explanation:

We want to find the term 'a' such that ...

  (5/6x -4) + a = (1/2x -4)

Add 4-1/2x to both sides.

  (5/6 -1/2)x -4 +4 +a = 0

  (5/6 -3/6)x + a = 0 . . . . . . express the fractions using a common denominator

  1/3x + a = 0 . . . . . . . . . . simplify the difference

  a = -1/3x . . . . . . . . . . .subtract 1/3x

The term you can add to make the desired equivalent is -1/3x.


A line has a slope of -2/3 and passes through the point (-3, 8). What is the equation of the line?
y= -2/3x + 6
y= -2/3x + 8
y= 6x- 2/3
y= 8x- 2/3

Answers

Answer:

y= -2/3x+6

Step-by-step explanation:

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2/3x +b

Substitute the point into the equation

8 = -2/3(-3) +b

8 = 2+b

8-2 =b

6=b

y= -2/3x+6

Think of 5 positive integers that have a mean, median, mode, and range of 6.

Answers

3,6,6,6,9
To have a mode of 6 there has to be more 6’s than any number
To have a median of 6 it has to be in the center of a list of integers listed from smallest to largest
To have a range of 6 the largest integer subtracted by the smallest should equal 6
To have a mean of 6 there must be 5 numbers that add up to 30

The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 61.0 in.
(Round to the nearest whole number as needed.)
Bear Lengths
36.0 37.0 39.5 40.0 40.5 43.0 44.0 45.5 45.5 46.5 48.0 48.00 49.0 50.0 51.5 52.5 53.0 53.5 54.0 57.3 57.5 58.0 58.5 59.0 59.5 60.0 61.0 61.0 61.0 61.5 62.0 62.5 63.0 63.0 63.5 64.0 64.0 64.0 64.5 65.0 66.0 67.5 67.5 68.5 70.0 70.5 71.5 72.0 72.5 72.5 72.5 73.5 74.5 77.5

Answers

Answer:

52nd percentile

Step-by-step explanation:

The sorted data :

36.0, 37.0, 39.5, 40.0, 40.5, 43.0, 44.0, 45.5, 45.5, 46.5, 48.0, 48.00, 49.0, 50.0, 51.5, 52.5, 53.0, 53.5, 54.0, 57.3, 57.5, 58.0, 58.5, 59.0, 59.5, 60.0, 61.0, 61.0, 61.0, 61.5, 62.0, 62.5, 63.0, 63.0, 63.5, 64.0, 64.0, 64.0, 64.5, 65.0, 66.0, 67.5, 67.5, 68.5, 70.0, 70.5, 71.5, 72.0, 72.5, 72.5, 72.5, 73.5, 74.5, 77.5

The total size of the data = 54

The value 61.0 occurs in position ; 27th, 28th and 29th

Taking the position average :

(27+28+29)/3 = 84/3 = 28th position

This means the percentile score of 61 is :

(Position average / total size) * 100%

(28/54) * 100%

0.5185185 * 100%

= 51.85%

This means that 61 inch length falls in the 52nd percentile

I need help with question 9

Answers

9514 1404 393

Answer:

  a) yes

  b) see attached

  c) see discussion

  d) neither

  e) increasing (2,5); decreasing (-2, 2)

Step-by-step explanation:

a) The graph passes the vertical line test, so is the graph of a function.

__

b) A table of values is attached

__

c) Generally, this sort of function would be defined piecewise:

  [tex]\displaystyle f(x)=\begin{cases}-\dfrac{1}{2}x+1&\text{for }-2\le x<2\\2x-4&\text{for }2\le x \le5\end{cases}[/tex]

In the attachment, we have shown the use of the "maximum" function to define it. The effect is the same.

__

d) The function has no symmetry about the origin or the y-axis, so is neither odd nor even.

__

e) The function is increasing where the line has positive slope, on the interval (2, 5). The function is decreasing where the line has negative slope, on the interval (-2, 2).

Which graph has a domain of all real numbers?

Answers

Nit sure but it is the second one

when solving 4x-3=5 the property used in the first step is the____ property of equality

Answers

Answer:

x = 2

Step-by-step explanation:

4x-3 + 3 =  5 + 3

4x = 8

4x ÷ 4 = 8 ÷ 4

x = 2

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

"When solving 4x-3=5 the property used in the first step is the addition property of equality."

[tex]\boxed{x = 2}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

We would 'undo' operations to solve for x. We would have to remove the '-3' first. Since the opposite of subtraction is addition, we would use the addition property of equality.

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or same column

Answers

Answer:

1200

Explanation:

Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:

nCr = n! / r! * (n - r)!

where n= total number of items

r= number of items chosen at a time

Combinations are used when the order of events do not matter in calculating the outcome.

We calculate using the formula:

(30×20×12)÷3!=1200

There are therefore 1200 ways for the three distinct items to not be in same row or column

24. What are the intercepts of -3x + 5y - 2z = 60?
(-20, 0, 0), (0, 12,0), (0, 0, -30)

(-60, 0, 0), (0, 60, 0), (0, 0, -60)
(-180, 0, 0), (0, 300, 0), (0, 0, -120)
(-3, 0, 0), (0,5, 0), (0, 0, -2)

Answers

I choose (-20,0,0) , (0,12,0), ( 0,0,-30)

Bindi is buying pet food with a coupon for 20% off. The original price of the bag of food is $39.
Which answer gives the best estimate for the price after the discount?

$48
$19
$34
$32

Answers

I think its $32.
.20 x 39 = 7.8
39 - 7.8 = $31.2

Simplify the radical expression below square root of 5/64
A square root 5/8
B 5/64
C square root 5/64
D 5/8

Answers

Answer:

a

Step-by-step explanation:

square root distribute to numerator and denominator so both get square rooted [tex]\sqrt{5}[/tex]/8

For this problem I believe the answer is option A, B and C. But just wanted to confirm. Is that correct or is my answer wrong?

Answers

Answer:

Just A and C

Step-by-step explanation:

B doesn't count because you would not be looking at the 9. Only the 4.

You only look at one number to the right.

Answer:

A and C are correct, but not B

Step-by-step explanation:

When you round, you only look at the number behind the place you are rounding.

6.04 doesn't round to 6.1, so that is not correct


1 point
What is the slope of a line perpendicular to 3x + 4y = -2?

Answers

Answer:

4/3

Step-by-step explanation:

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line.

Let's write [tex]3x+4y=-2[/tex] in slope-intercept form by isolating [tex]y[/tex]:

[tex]3x+4y=-2,\\4y=-3x-2,\\y=-\frac{3}{4}x-\frac{1}{2}[/tex]

Therefore, the slope of this line is [tex]\frac{-3}{4}[/tex]. To find the slope of a line perpendicular to it, multiply the reciprocal of the slope by -1 (take the negative reciprocal).

Therefore, the slope of a line perpendicular to [tex]3x+4y=-2[/tex] is:

[tex]m_{perp}=-(-\frac{4}{3})=\boxed{\frac{4}{3}}[/tex]

Answer:

4/3

Given equation :-

3x + 4y = -2 4y = -3x - 2 y = (-3x - 2)/4 y = -3/4 x - 1/2

Slope :-

m = -3/4

Slope of perpendicular line :-

m' = -(1/m )m' = -( 1 ÷ -3/4 ) m' = -1 * -4/3 m = 4/3

Of the at-home games, what proportion of games were wins? (Note: Some answers are rounded to two decimal places

Answers

Answer:

0.33

Step-by-step explanation:

See comment for complete question

Given

[tex]H = 60\%[/tex]

[tex]W=25\%[/tex]

[tex]HW = 20\%[/tex] --- at-home wins

Required

The proportion of at-home games that were wins

This proportion is represented as:

[tex]Pr = HW : H[/tex]

Substitute values for HW and H

[tex]Pr = 20\% : 60\%[/tex]

Divide by 20%

[tex]Pr = 1 : 3[/tex]

Express as fraction

[tex]Pr = 1 /3[/tex]

[tex]Pr = 0.33[/tex]

I am Your Crush boy you have never seen a boy like me if you will see me you will fall in my love. come zom Id- 6622308635 pas- 6UC3yE​

Answers

Answer:

I don't know the answer to ur question. LOL

Answer:

stop being desperate

nobody is gonna fall in love with some desperate weirdo

Solve for the following equation for x. l x/4 + 3 l < 6

Answers

Answer:

this is the answer I got! i don't know if it helps, but I hope it does

1+1/2+1/4+1/8+1/16+1/32+1/64
if you continue adding on fractions according to this pattern, when will you reach a sum of 2?​

Answers

Answer: You will never reach a sum of 2. You would need infinitely many terms to sum up.

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

Explanation:

We have this sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

which is geometric with the following properties

a = first term = 1r = common ratio = 1/2 = 0.5

Notice how we multiply each term by 1/2 to get the next term. Eg: (1/4)*(1/2) = 1/8 or (1/16)*(1/2) = 1/32.

Since r = 0.5 is between -1 and 1, i.e. -1 < r < 1 is true, this means that adding infinite terms of this form will get us to approach some finite sum which we'll call S. This is because the new terms added on get smaller and smaller.

That infinite sum is

S = a/(1-r)

S = 1/(1-0.5)

S = 1/0.5

S = 2

So if we keep going with that pattern 1+1/2+1/4+... and do so forever, then we'll reach a sum of 2. However, we cannot go on forever since it's asking when we'll reach that specific sum. In other words, your teacher wants finitely many terms to be added.

In short, we'll never actually reach the sum 2 itself. We'll just get closer and closer.

Here's a list of partial sums

1+1/2 = 1.51+1/2+1/4 = 1.751+1/2+1/4+1/8 = 1.8751+1/2+1/4+1/8+1/16 = 1.93751+1/2+1/4+1/8+1/16+1/32 = 1.968751+1/2+1/4+1/8+1/16+1/32+1/64 = 1.9843751+1/2+1/4+1/8+1/16+1/32+1/64+1/128 = 1.99218751+1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256 = 1.99609375

We can see that we're getting closer to 2, but we'll never actually get there. We'd need to add infinitely many terms to get to exactly 2.

A.109
B.87
C.98
D.69

Answers

Answer:

hey what's

Step-by-step explanation:

a question wow okay the answer is

I think it’s b because the other ones are different

Which of the following expressions has a Value of 6.18???

Answers

Answer:

B. -21.012÷ -3.4

its yr correct ans.

hope it helps

stay safe healthy and happy.
B) -21.012/-3.4= 6.18

if triangle TAN has vertices T(0, 2), A(-1,3), and N(-2,-4), which of the following coordinates is N' of the dilation from the origin using the scale factor 3?

Answers

Answer:

(-6,-12)

Step-by-step explanation:

A dilation makes a figure gets bigger so just multiply 3 to point N to find N prime.

[tex] - 2 \times 3 = - 6[/tex]

[tex] - 4 \times 3 = - 12[/tex]

So our new coordinates is

(-6,-12)

Answer:

(-6,-12)

Step-by-step explanation:

A dilation makes a figure gets bigger so just multiply 3 to point N to find N prime.

So our new coordinates is

(-6,-12)

Step-by-step explanation:

Angles PTQ and STR are vertical angles and congruent.

Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent.

Which chords are congruent?

QP and SR
QR and
PR and RS
PR and PS

Answers

9514 1404 393

Answer:

  (a)  QP and SR

Step-by-step explanation:

The congruent central angles intercept congruent arcs QP and SR. Chords of congruent arcs are congruent.

chords QP and SR are congruent

Answer: its A

Step-by-step explanation:

CLB is better than DONDA

if my child had 115 of 149 questions right what percentage is the grade

Answers

Answer:

77.18%

Step-by-step explanation:

115:149*100 =

(115*100):149 =

11500:149 = 77.18

The Cougar Swim Club acquired some Speedo Fastskin bodysuits and decided to test them out. A number of the club's fastest swimmers performed a 50m freestyle swim in a regular spandex bodysuit and in a Speedo Fastskin suit. The table below summarizes their times in seconds.Swimmer Spandex Speedo Fastskin1 31.1 29.12 28.9 30.43 31.4 32.04 34.9 31.75 27.7 28.26 36.7 32.97 33.3 28.68 30.8 26.2Perform a t-test for dependent means to determine if there is a difference between the regular spandex suit and the Fastskin bodysuit in terms of performance.t = _____df = _____Critical value of t = _____ (use alpha = 0.05)Would you reject the null hypothesis?

Answers

Answer:

T = 2.215

df = 7

Critical value = 2.364

Fail to reject the null

Step-by-step explanation:

Swimmer __Spandex __Speedo Fastskin__ d

1 __________31.1 _______29.1 __ 2

2_________ 28.9 ______30.4 __ -1.5

3_________ 31.4 ______ 32.0 __ - 0.6

4_________ 34.9 ______31.7 __ 3.2

5 _________27.7 ______28.2 __ - 0.5

6_________ 36.7 _____ 32.9 ___ 3.8

7 _________ 33.3 _____28.6 ___ 4.7

8_________ 30.8 _____26.2 ___ 4.6

The mean difference = Σd / n

2, - 1.5, - 0.6, 3.2, - 0.5, 3.8, 4.7, 4.6

μd = Σd / n = 15.7 / 8 = 1.9625

Sd = standard deviation of difference = 2.5065 (using calculator)

H0 : μd = 0

H1 : μd ≠ 0

The test statistic:

T = μd / (Sd/√n)

T = 1.9625 / (2.5065/√8)

T = 2.2145574

The degree of freedom, df = n - 1 = 8 - 1 = 7

Using a Pvalue calculator :

α = 0.05

Critical value, Tcritical = 2.364 (T distribution table)

Since Test statistic < Critical value

we fail to reject H0 ;

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Evidencia de aprendizaje Se desea obtener 80 kilogramos de caf molido mezclando caf arbico de S/18 el kilogramo y caf torrado de S/10 el kilogramo. Si se quiere que el precio del kilogramo de mezcla sea de S/13, Qu cantidad de caf de S/18 debe usar? Responde las siguientes preguntas: Qu estrategias utilic para validar la solucin al sistema de ecuaciones? Para qu me servir lo que aprend?, Qu dificultades encontraron en este aprendizaje? A partir de la situacin planteada A qu conclusin puedo llegar? URGENT!!!!!!HELP NOW PLEASE!!!!!!!!! A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e- and only one correct answer. What is the probability that she answered neither of the problems correctly? Do not round your answer. (If necessary, consult a list of formulas.) The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units escribe una situacion de la vida de uno de los artistas que haya sido transcendental What is the area of this figure 1. Draw four illustrations of a globe and paper that are positioned to yield equatorial, transverse, oblique, and polar aspect projections. Label the equator in each. Use your textbook or lecture material if you need a reference.2. On any map, why is there distortion at areas that do not fall on lines of tangency or secancy? i gave someone a Brainliest pls Based on the Punnett square, what is the probability that the offspring will have freckles?25 percent50 percent75 percent100 percent Who created this piece of art? the chemicals used in the preparation of carbondioxide gas are??? What did Paul Revere shout on his midnight ride in 1775? The first civilization likely formed in Mesopotamia because:that was the birthplace of modern man.its two rivers provided water for crops.the first alphabet was invented there.there were many trees for building houses. On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4). Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? Please help, Consider the line 5x - 3y = -4.What is the slope of a line parallel to this line?What is the slope of a line perpendicular to this line? Which descriptions from the list below accurately describe the relationship between QRS and TUV? check all the apply. Help and explain please and thank you !!!!!!! Determine how much simple interest you would earn on the following investment:$13,400 invested at a 6 1/2% interest rate for 4 years. solve |5x+30|=10x ......