For the women age 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:

Answers

Answer 1

Answer:

For a height of 66 inches, Z = 0.65.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average height was about 64.3 inches; the SD was about 2.6 inches.

This means that [tex]\mu = 64.3, \sigma = 2.6[/tex]

66 inches:

The z-score for a height of 66 inches is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66 - 64.3}{2.6}[/tex]

[tex]Z = 0.65[/tex]

For a height of 66 inches, Z = 0.65.


Related Questions

What options are available to the decision maker if the probabilities of the states of nature are unknown?

Answers

Answer:

The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.

-1/5(-2 1/4)? (-1/5 x -2 1/4)=?? Brainilist

Answers

[tex] - \frac{1}{5} \times - 2 \frac{1}{4} \\ - \frac{1}{5} \times ( - 2) \times \frac{1}{4} \\ \frac{1}{5} \times 2 \times \frac{1}{4} \\ \frac{1}{5} \times \frac{1}{2} \\ \\ answer = \frac{1}{10} \\ [/tex]

Final Answer: 1/10

Alternate Forms:

Decimal: 0.1

Hope it helps

Answer:

-1/5(-2 1/4)=

Step-by-step explanation:

-1/5(-2 1/4)=1/5(2 1/4)

=1/5(9/4)

=9/20 , 0.45

A train leaves at 15:43 and arrives at 17:13. It travelled at an average speed of 75 km/h.
How far did it travel? Give your answer in km to 1DP.
Can anyone answer this

Answers

Answer:

Distance cover by train = 112.5 km

Step-by-step explanation:

Given;

Speed of train = 75 km/h

Time started = 15:43 min

Time ended = 17:13 min

Find:

Distance cover by train

Computation:

Time started = 15:43 min = 15.716 hour

Time ended = 17:13 min = 17.216 hour

Total time taken = 17.216 - 15.716

Total time taken = 1.5 hour

Distance cover by train = Total time taken x Speed of train

Distance cover by train = 75 x 1.5

Distance cover by train = 112.5 km

Mrs. Banks was just given 2mL of morphine solution. How many milligrams of morphine did she receive

Answers

Answer:

2000 milligrams

Step-by-step explanation:

You do conversion and it make sense.

substituting the equation x=4y - 12 into the equation -2y= x- 6. will produce what equation?

Answers

Step-by-step explanation:

Given that,

x=4y - 12 ....(1)

And

-2y= x- 6 ....(2)

Put equation (1) in equation (2). So,

-2y= (4y - 12)- 6

-2y = 4y - 12 -6

-2y-4y = -12-6

-6y = -18

y = 3

So, substituting x=4y - 12 into the equation -2y= x- 6 will produce y = 3.

A net of a square pyramid is shown. The total area of the pyramid's triangular faces is 80 cm'. What is the area of the pyramid's square base in centimeters squared?​

Answers

Answer:

I think it will be 400 cm^2

Step-by-step explanation:

8cm x 20cm/ 2 = 80cm^2  this is for the triangle

So the base is 20cm^2 and so me multiply that x2  which will give us 400cm^2 for the square

Simplify 4(3 − 2) − 7( + 5) Show work

Answers

Answer:

- 31

Step-by-step explanation:

4(3 − 2) − 7(5)

Subtract 3 - 2

4(1) - 7(5)

Multiple -7 and 5

4 - 35

Subtract 4 - 35

The correct answer is -31.

The simplified form of 4(3 − 2) − 7( + 5) is -31.

To simplify the given expression, using (PEMDAS/BODMAS) and simplify each part step by step.

4(3 − 2) − 7( + 5)

First, simplify the expressions inside the parentheses:

3 − 2 = 1

+ 5 = 5

then, the expression becomes:

4(1) − 7(5)

Next, let's perform the multiplications:

4(1) = 4

7(5) = 35

The expression now becomes:

4 − 35

Finally, let's perform the subtraction:

4 − 35 = -31

Therefore, the simplified form of 4(3 − 2) − 7( + 5) is -31.

Learn more about PEDMAS here:

https://brainly.com/question/24086845

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5. The volume of a rectangular prism is 2058 cm3. The length is three times
the width. The height is twice the width. Find the width, length and height of the prism.
a. L- 18 cm, W-6 cm, H- 12 cm
c. L-20 cm, W-6 cm, H-12 cm
b. L- 21 cm, W- 7 cm, H- 14 cm
d. L- 22 cm, W-8 cm, H- 15 cm​

Answers

Answer:

c

Step-by-step explanation:

Which sequences are geometric?

Check all that apply.

Answers

Answer:

3, 12, 48, 192, ...

3, 15, 75, 375, ...

2, 10, 50, 250, ...

This morning, the cafe served 8 coffees in all, 75% of which were regular. How many regular coffees did the cafe serve?

Answers

Answer:

6 regular coffees. Thank it if its helpful, thank you!

Step-by-step explanation:

75% of 8 is 6

Reasoning:

75/100*8/1=600/100

600/100=6!

Answer:

Regular coffee served by cafe = 75%* 8

                                                   = 75/100*8 =  6 coffees

Step-by-step explanation:

The greatest common factor (GCF) of x^3, x^7, x^9 is ?
Please help

Answers

Answer:

[tex]x^3[/tex]

Step-by-step explanation:

Let the greatest common factor of [tex]a,b,c[/tex] such that [tex]a,b,c \in\mathbb{Z}[/tex] and they are not all equal to zero, [tex]d[/tex] is the common divisor of [tex]a[/tex] and [tex]b[/tex]. Therefore, [tex]d \mid a[/tex] and [tex]d \mid b[/tex]

You can write

[tex]D(a) = \{d \in\mathbb{Z} : d \mid a\}[/tex]

[tex]D(b) = \{d \in\mathbb{Z} : d \mid b\}[/tex]

The greatest common factor of [tex]a,b[/tex] is given as

[tex]D(a,b) = \{d \in\mathbb{Z} : d \mid a \text{ and } d \mid b\}[/tex]

and

[tex]D(a, b) = D(a) \cap D(b)[/tex]

This happens because [tex]D(a,b)[/tex] is upper bounded because if [tex]a\neq 0[/tex] then [tex]d \leq |a|[/tex]

for all [tex]d\in D(a, b)[/tex]. Therefore, the set [tex]D(a, b)[/tex] has the greatest elements.

Taking [tex]x^3, x^7, x^9[/tex] such that [tex]x>0[/tex]

You can note that [tex]x^7 = x^3 \cdot x^4[/tex] and [tex]x^9 = x^3 \cdot x^6 = x^3 \cdot x^3 \cdot x^3[/tex]

Therefore, the greatest common factor is [tex]x^3[/tex]

Note: [tex]x^3 \cap x^7 \cap x^9 = x^3[/tex]


f(x) = 3 - 2x and g(x) =
1/X+5 what is the value of
(f/g)(8)

Answers

9514 1404 393

Answer:

  (f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

  f(8) = 3 -2·8 = 3 -16 = -13

  g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

  (f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

  (f/g)(8) = -104/41

I am Looking For help with applications of inductive reasoning
1=1*1
1+9=2*5
1+9+17=3*9

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]

[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]

[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help also due in morning THE WHOLE PAGE. 50 points for right now

Answers

61) 75.4in^2
62) 88.0in^2
63) F
64) 144cm^2
65) 144 + 24√3cm^2
66) 1017.9 units^2
:)

A two-way frequency table is shown below that displays the relationship between the region of the country in which people live and the type of music preferred. We took a sample of 193 people and recorded the following results: Country Music Rock Total West 26 15 41 East 24 22 46 South 7 33 40 North 41 25 66 Total 98 95 193 What is the probability (rounded to the nearest whole percent) that a randomly selected person is from the western region of the country if he or she prefers country music? (

Answers

Answer:

13%

Step-by-step explanation:

Given the two way frequency table :

Country Music Rock Total

West 26 15 41

East 24 22 46

South 7 33 40

North 41 25 66

Total 98 95 193

From. The table :

n(West n Country music) = 26

n(Total) = 193

P(West n Country music) = n(West n Country music) / n(Total)

P(West n Country music) = 26 / 193

= 0.1347

= 13.47%

= 13%

An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and five outcomes possible for the third step. How many experimental outcomes exist for the entire experiment

Answers

Answer:

30 experimental outcomes exist for the entire experiment.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Three outcomes possible for the first step.

Two for the second step.

Five for the third step.

How many experimental outcomes exist for the entire experiment?

Steps are independent, so, by the fundamental counting principle:

3*2*5 = 6*5 = 30

30 experimental outcomes exist for the entire experiment.

Which line segment is only a chord of F

Answers

df sorry is i wrong

What is the perimeter of ABC?

Perimeter = ___ units.​

Answers

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

Which choice is equivalent to the product below for acceptable values of x?
√x+3. fx-3

Answers

Answer:

B

Step-by-step explanation:

Which choice is equivalent to the product below for acceptable values of x?

√x+3. fx-3

The answer is "B"

PLEASE HELP I WILL AWARD BRAINLY

Eight pipes were turned on to fill the pool in 36 hours. Then, after 12 hours some of the pipes were turned off, and the rest of the pool was filled in 32 hours. How many pipes were turned off?

Answers

Answer:

2 pipes

Step-by-step explanation:

So.. I'm not too sure either, but I'll try to solve it.

Equation: 4x=8 when x=number of pipes turned off after 12 hours

Since there were initially 8 pipes and there are 4 hours between 36 planned hours to fill the whole pool and 32 actual hours passed to fill the rest of the pool, you multiply them.

what is the best teaching learning material in mathematics for kids?​

Answers

Answer:

Step-by-step explanation:

Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.

Use the Binomial Theorem to find the indicated coefficient or term.

The 3rd term in the expansion of (5x + 2) 3

Answers

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

Suppose we want to write 2/3 as an equivalent fraction with a denominator of 15. What number must we multiply both the numerator and the denominator by?

Answers

Answer:

5

Step-by-step explanation:

Enter the value that belongs in the green box

Answers

Answer:

0,83

Step-by-step explanation:

tan(40)=0,83

0.8390996312tep-by-step explanation:

Solve the inequality. k - 3 < 5

Answers

Answer and Step-by-step explanation:

To solve the inequality, we have to get k by itself.

Add 3 to both sides of the inequality.

k < 8 is the answer.

#teamtrees #PAW (Plant And Water)

help me pelaseeeeeeeee

Answers

Answer:  1. x=18

2. x=21

Step-by-step explanation:

1.Q 114=7x-12

7x=126

x=18

2.Q 4x-2=3x+19

4x-3x=19+2

x=21

Answer:

Step-by-step explanation:

if im right but i think

7x-12=144 opposite sides are congruent

7x/7=156/7

X= 22.285

waht is 3.50 times 43.5

Answers

Answer:152.25

Step-by-step explanation:

3.5""""""""""""""""""""43.5

152.25

The 3.50 times of the 43.5 will be 152.25.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number which will be very big as compare to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

For example 2 × 9 = 18 in this the number 18 is very big as compared to 2 and 9.

A another example is 0.5 × 9 = 4.5 in this case the number 4.5 is less than 9 because of the 0.5 is less than 1.

Given that 3.50 times 43.5

3.50 × 43.5

152.25 hence, 152.25 will be the correct option.

For more information about multiplication

https://brainly.com/question/14059007

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PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch.Graph a line on the coordinate plane to represent this relationship.

PART B. Create an equation to represent this relationship let X represent ounces of pineapple juice. Let Y represent ounces of fruit punch. the picture is apart of Part A​

Answers

Answer:

(B) The equation of line is 5 X = 2 Y.

Step-by-step explanation:

2 ounces of pineapple juice

5 ounces of fruit punch

Other is 4 ounces pineapple juice and 10 ounces fruit punch

(A) Graph is shown below:

(B) Let X is the pineapple juice and Y is the fruit punch

(2, 5)  and (4, 10)

So, the equation of line is

[tex]Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y[/tex]

If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)

Answers

Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

I have had this question and the guy who answered was correct

Which of the following theorems verifies that triangle STU is congruent to triangle XYZ

Answers

Answer:

B. HL

Step-by-step explanation:

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