Heights for 16-year-old boys are normally distributed with a mean of 68. 3 in. And a


standard deviation of 2. 9 in.


Find the z-score associated with the 96th percentile.


Find the height of a 16-year-old boy in the 96th percentile.

Answers

Answer 1

The height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches. The z-score associated with the 96th percentile is 1.75.



To find the z-score associated with the 96th percentile, we can use the following steps:

1. Locate the percentile in a standard normal distribution table or use a calculator that can compute percentiles (e.g., a graphing calculator or an online calculator).

2. For the 96th percentile, we find the corresponding z-score. Using a standard normal distribution table or an online calculator, the z-score is approximately 1.75.

So, the z-score associated with the 96th percentile is 1.75.

To find the height of a 16-year-old boy in the 96th percentile, we can use the following formula:

Height = mean + (z-score × standard deviation)

Here, the mean height is 68.3 inches, the z-score is 1.75, and the standard deviation is 2.9 inches. Plugging these values into the formula:

Height = 68.3 + (1.75 × 2.9) ≈ 68.3 + 5.075 ≈ 73.375 inches

So, the height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches.

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Related Questions

The following argument is missing a premise. some non-poodles are not non-cats and no cats are dogs so some poodles are dogsTrueFalse

Answers

The missing premise is "all dogs are non-cats." Therefore, the argument is true.

The given information and analyze the argument step-by-step.

1. Some non-poodles are not non-cats: This statement means that there are some animals that are not poodles and are also cats.

2. No cats are dogs: This statement means that there is no overlap between cats and dogs.

Now, let's try to determine if "some poodles are dogs" can be concluded from these premises:
Since no cats are dogs, it doesn't matter whether some non-poodles are not non-cats. Poodles are a breed of dog, so it's already a fact that poodles are dogs.

So, the answer is True: some poodles are dogs.

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The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
1,150 fish. Write an exponential decay function to model this situation. Then find the population in
2006.

Answers

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

What is the equation for the least square regression line where the independent or predictor variable is sepal length and the dependent or response variable is sepal width for iris setosa?

Answers

The equation for the least square regression line can be used to model the relationship between the independent variable (sepal length) and the dependent variable (sepal width) for the iris setosa species.

The least square regression line is represented by the equation:

y = mx + b

where y is the predicted value of the dependent variable (sepal width), x is the value of the independent variable (sepal length), m is the slope of the line, and b is the y-intercept. To find the values of m and b, you would need a dataset of sepal length and sepal width measurements for the iris setosa species. By using statistical software or calculators, you can perform a linear regression analysis on the dataset to obtain the values of m and b. These values can then be plugged into the equation to obtain the least square regression line for sepal width based on sepal length. The equation for the least square regression line with sepal length as the independent variable and sepal width as the dependent variable for iris setosa is y = mx + b, where y is the predicted value of sepal width, x is the sepal length, m is the slope of the line, and b is the y-intercept. The equation for the least square regression line, also known as the linear regression line, allows us to model the relationship between two variables by fitting a straight line to a given set of data points. In this case, we are interested in predicting the sepal width (dependent variable) based on the sepal length (independent variable) for the iris setosa species. To find the equation for the least square regression line, we need to perform a linear regression analysis on a dataset of sepal length and sepal width measurements for iris setosa. This analysis calculates the values of the slope (m) and the y-intercept (b) of the line that best fits the data. Once we have the values of m and b, we can plug them into the equation y = mx + b to obtain the least square regression line. This line represents the best-fit line that minimizes the sum of the squared differences between the observed values of sepal width and the predicted values based on sepal length.

In conclusion, the equation for the least square regression line with sepal length as the independent variable and sepal width as the dependent variable for iris setosa is y = mx + b. This equation allows us to predict the sepal width based on the sepal length by using the values of the slope (m) and y-intercept (b) obtained through a linear regression analysis on a dataset of iris setosa measurements.

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how many dimes are in 16 quarters

Answers

uhh....umm 4 .....6 no 16 .....uh no carrots

Answer:

40 dimes

Step-by-step explanation:

Anybody plz answer this world problem question thanks! Also (show work and steps how u get answer) hopefully u guys can see this 1 :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Anybody plz answer this world problem question thanks! Also (show work and steps how u get answer) hopefully

Answers

Answer:

Each package takes 3 feet so 1 yard.

So 20 packages

approximate the sum of the series correct to four decimal places. [infinity] (−1)n 2nn! n = 1 s ≈

Answers

The sum of the series correct to four decimal places is 7.0000

To approximate the sum of the series, we can use the ratio test. The ratio test states that if the limit of the ratio of consecutive terms approaches a number L, then the series converges if |L| < 1 and diverges if |L| > 1.

The nth term of the series is given by

\(T_n = (-1)^n (3n)(n!)\)

The consecutive terms is

\(R_n = T_{n+1}/T_n = (-1)^{n+1} (3n+3)(n+1) / (-1)^n (3n)(n!) \\= (-1)^{n+1} * 3 * (n+1) / (n!)\)

Taking the limit as n approaches infinity:

\(L = lim_{n - > \infty} \ R_n = lim_{n - > \infty} (-1)^{n+1} * 3 * (n+1) / (n!)\)

Since \((-1)^{n+1}\) alternates between -1 and 1, the limit approaches 0 and |L| < 1, which means the series converges.

To approximate the sum of the series, we can use a numerical method such as the Euler-Maclaurin formula. The formula approximates the sum of an infinite series by the sum of its first few terms and the remainder term:

\(\Sigma_n^\infty=1T_n \approx \Sigma_{i=1}^m T_i + R_m\)

where \(R_m\) is the remainder term that decreases as m increases

For example, let's choose m = 5:

\(\Sigma_{i=1}^5 T_i = T_1 + T_2 + T_3 + T_4 + T_5\)

= -3! + (-1) * 3 * 2! + (-1) * 2 * 3 * 1! + (-1) * 3 * 4! + (-1) * 4 * 3 * 2! = -6 + 6 - 2 + 24 - 24 = -2

The remainder term \(R_m\) can be estimated using the Euler-Maclaurin formula:

\(R_m = -B_{2m} / (2m)! * T_{m+1}\)

where B_k are the Bernoulli numbers.

For \(m = 5, B_2m = B_{10} = -1/252\), so

\(R_m = -B_{10} / (10)! * T_{m+1} = -1/252 * (-1)^6 * 3 * 6! = 1/252 * 3 * 720 = 9\)

Therefore, the sum of the series is approximately

\(\Sigma_{i=1}^\Infty T_i \approx \Sigma_{i=1}^5 \ T_i + R_m \\= -2 + 9 = 7\)

To four decimal places, this is 7.0000

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Answer dis for me ASAP

Answer dis for me ASAP

Answers

the answer is B 87.5

HELP!!!! I can’t figure this out

HELP!!!! I cant figure this out

Answers

Answer:

\(A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}\)

Step-by-step explanation:

\( \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}\)

Pls give me brainliest

Do all 3 to get brainliest

Pls give me brainliest Do all 3 to get brainliest

Answers

Answer:

1.C

2. C

3.D

Step-by-step explanation:

Answer:

CCD

Step-by-step explanation:

Olives garden is only 10 yd and the watermelon plants she wants to grown requir 2.5yd each how many watermelon plants can she grows

Answers

Answer:

4

Step-by-step explanation:

10÷2.5

Answer:

4 plants

Step-by-step explanation:

She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants.

how many ways can a conference of 4 boys and 4 girls be seated around a table so that boys and girls are alternate?​

Answers

They can be seated 144 different ways

Solve each equation by factoring.
17) 2x^2-7x-15=0
I don't know the factors can someone help me? What goes into -15 but adds up to -7?

Answers

Hello, I understand why you did -15 but you are meant to multiply the numbers under the arrow. This may seem very confusing but I’m sure with practice you will get used to these types of questions, thanks.
Solve each equation by factoring.17) 2x^2-7x-15=0I don't know the factors can someone help me? What goes

Emily purchased a pack of 6 shirts for $18. What was the cost per shirt? someone answer this please.

Answers

Answer:

$3

Step-by-step explanation:

Divide 6 from 18 to find the cost per shirt.

18/6=3

3 dollars per shirt.

Hope this helps!

Please mark as brainliest if correct!

PLSSS HELP IF YOU TRULY KNOW THISSS

PLSSS HELP IF YOU TRULY KNOW THISSS

Answers

Answer: 1/50

Step-by-step explanation:

Step 1: We need to multiply the numerator and denominator by 100 since there are 2 digits after the decimal.

0.02 = (0.02 × 100) / 100

= 2 / 100 [ since 0.02 × 100 = 2 ]

Step 2: Reduce the obtained fraction to the lowest term

Since 2 is the common factor of 2 and 100 so we divide both the numerator and denominator by 2.

2/100 = (2 ÷ 2) / (100 ÷ 2) = 1/50

Solve the following equation by completing the square.
4x²-16x + 8 = 0

A. x = 2 + √2 or x = -2 + √2
B. x = 2 + √2 or x = 2-√2
C. x = -2 + √2 or x = -2-√2
D. x = 4 or x = 0

Answers

Answer:

B )  x = 2 + √2 or x = 2-√2

Step-by-step explanation:

See attachment...

Hope this helps! :)

Solve the following equation by completing the square.4x-16x + 8 = 0A. x = 2 + 2 or x = -2 + 2B. x =

A small town has 3000 inhabitants. At 8 AM, 240 people have heard a rumor. By noon half the town has heard it. At what time will 90% of

Answers

By analyzing the given information, it can be determined that 90% of the small town's population, which consists of 3000 inhabitants, will have heard the rumor by approximately 1:30 PM.

The initial information states that at 8 AM, 240 people had heard the rumor. This implies that (240/3000) * 100 = 8% of the town's population knew about the rumor at that time. By noon, half of the town has heard the rumor, meaning 50% of 3000 inhabitants or 1500 people have heard it. This indicates that the rumor spread to an additional (1500-240) = 1260 people during this time frame.

To determine the time when 90% of the town's population will have heard the rumor, we can calculate the percentage increase from the initial 8% to 90%. The difference between these percentages is 90% - 8% = 82%. Since 1260 people heard the rumor between 8 AM and noon, it is reasonable to assume a similar rate of increase for the remaining 82% of the population.

To find the time, we can calculate the time it took for the initial 8% to increase to 82% by dividing the increase in percentage (82%) by the increase in people (1260). This gives us (82/1260) = 0.0651 percentage increase per person. To reach 82% (90% - 8%) of the population, we can divide 82% by 0.0651, resulting in approximately 1260 / 0.0651 = 19344 people.

Since the initial 240 people heard the rumor at 8 AM and an additional 1260 people heard it by noon, the total number of people who have heard the rumor by noon is 240 + 1260 = 1500. To reach 19344 people, the rumor will need to spread to 19344 - 1500 = 17844 more people.

Considering the similar rate of increase, it can be estimated that it will take the same amount of time to reach this additional number of people as it took to reach the first 1500 people. Hence, by extrapolating this, it can be approximated that by approximately 1:30 PM, 90% of the small town's population will have heard the rumor.

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ive been stuck on this for days PLEASE help

ive been stuck on this for days PLEASE help

Answers

Answer:

A 2,7

B -4,6

C cant find pls give

D -3-3

E 0,2

F 7-5

Step-by-step explanation:

ive been stuck on this for days PLEASE help

what is the true size of a block with nominal size of 6x4x16?

Answers

The true size of a block with a nominal size of 6x4x16 may vary. The nominal size refers to the intended dimensions, but the actual size can differ due to manufacturing tolerances and other factors.

The nominal size of 6x4x16 indicates the intended dimensions of the block, with a length of 16 units, width of 6 units, and height of 4 units. However, the true size of the block can vary from the nominal size due to manufacturing tolerances and other factors.

Manufacturing processes may introduce slight variations in the actual dimensions of the block. These variations are commonly referred to as tolerances. Tolerances account for potential deviations from the intended dimensions and are necessary to accommodate practical considerations during manufacturing.

Therefore, without specific information on the tolerances or manufacturing specifications, it is not possible to determine the true size of a block with a nominal size of 6x4x16. The true size can vary within an acceptable range based on manufacturing tolerances and other factors.

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During the current year, merchandise is sold for $114,000 cash and $548,100 on account. The cost of the goods sold is $423,700. What is the amount of the gross profit? $fill in the blank 1

Answers

During the current year, merchandise was sold for $662,100. Of this amount, $114,000 was cash sales and $548,100 was on account. The cost of goods sold was $423,700. Therefore, the gross profit was $238,400.

The gross profit is calculated by subtracting the cost of goods sold from the total sales. The cost of goods sold is the direct cost of producing the goods that were sold. It includes the cost of materials, labor, and overhead.

The gross profit is an important measure of a company's profitability. It shows how much money the company makes from its core business activities, before deducting other expenses.

In this case, the company's gross profit margin is 35.8%. This means that for every $100 of sales, the company makes $35.80 in gross profit. A high gross profit margin is generally considered to be a sign of a healthy business.

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Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except length: ; width: 10; height: 3 length: 1; width: 5; height: 7 length: 2; width: 5; height: 3 length: 4; width: 2 ; height: 3

Answers

The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

How do we calculate?

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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Can some one help me with this

Can some one help me with this

Answers

Answer:

C) y = 2x + 3

Step-by-step explanation:

In slope intercept form(y = mx + b), b is the y intercept and m is the slope. The y intercept is y variable when the x variable is 0. In the chart, the y-intercept(b) is 3. Slope is identified by the different in y by the difference in x. In this chart the slope is 2. Now plug in the number into slope intercept form( y = 2x + 3).

Please help me. Due today. Please show work so I can get it correct!!!!

Please help me. Due today. Please show work so I can get it correct!!!!

Answers

Applying the inscribed angle theorem, the value of x in the circle is: 126°.

What is the Inscribed Angle Theorem?

According to the inscribed angle theorem, the measure of the inscribed angle, 63° is one-half of the measure of central angle, x, as shown in the circle given.

Therefore, we would have the following equation:

1/2(x) = 63

x = 2(63)

x = 126°

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if you are traveling at 60 mph you will travel almost the length of a football field in how many seconds

Answers

Time taken to cross the field will be 3.36 seconds.

What does physics mean by speed?

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. There are four different types of speed. constant speed, varying speed, an average rate, instantaneous speed.

Solution,

Given,

speed=60 mph

length of football field=0.056 miles

time taken to cross it = distance/speed

time=0.056/60=0.00093 hour = 3.36 seconds.

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PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!

PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!
PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!
PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!

Answers

Answer:

(a)it is

Step-by-step explanation:

this is because ABC and SDC are both right angle triangles

PLZ HURRY IT'S URGENT!!

Which inequality represents the scenario if t represents the number of touchdowns? Charlie Brown's team needs at least 2 touchdowns to win the game. Question options: t>2 t<2 t≥2 t≤2

Answers

Answer:

t≥2

Step-by-step explanation:

because you need at least 2 touchdowns, t must be equal to 2 or more (greater) than 2.

Plz help me you don’t have to do all of them I just need it to be in frame ._.

Plz help me you dont have to do all of them I just need it to be in frame ._.

Answers

Answer:

x axis D=1,4 F,E,and G lies On x axis

Step-by-step explanation:

l am from viswa sai vidyanikethan

Ifyou improves your typing speed 80% from 50 words per minutes. Who many words youcan type now in one minutes.

Answers

With an 80% improvement in typing speed from an initial rate of 50 words per minute, you will be able to type 90 words per minute.

Increasing your typing speed by 80% means you will be able to type 80% more words in the same amount of time. Therefore, if your initial typing speed is 50 words per minute, an 80% improvement would result in a typing speed of 90 words per minute.

To calculate the new typing speed, we first find 80% of the initial typing speed.

80% of 50 is (80/100) * 50 = 0.8 * 50 = 40.

This means that your typing speed will increase by 40 words per minute.

To determine the new typing speed, we add the increase to the initial typing speed:

50 + 40 = 90.

Thus, after the 80% improvement, you will be able to type 90 words per minute.

In summary, with an 80% improvement in typing speed from an initial rate of 50 words per minute, you will be able to type 90 words per minute.


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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP

Answers

C, just substitute the n=1 to get 2, then n=2 to get -3 and so one

Answer:

Its C

Step-by-step explanation:

1

2

cups of

3

Monica and Veronica are making strawberry pineapple smoothies. For every 1 cups of strawberries, they use

pineapple. Monica and Veronica have already put 1 cup of pineapple into the blender. The girls cannot agree how many

cups of strawberries to add to the blender to keep the same ratio, so they each did some work to determine the number

of cups of strawberries necessary for the smoothie.

(a)

Monica's Work:

3

13:

3- 3

a

ONU WOT

Veronica's Work

Answers

Answer:

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

Step-by-step explanation:

This question can be solved by using ratios

Strawberry       :      Pineapple

1     cup              :          2/3 cup

x cup                  ;            1 cup

Using the cross product rule

2/3 * x= 1*1

x= 1*1 ÷ 2/3

x= 1*3/2= 1 1/2= 1.5

For 2 cups of pineapple 3 cups of strawberries are used.

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

For 3 cups of pineapple 4.5 cups of strawberries are used.

m a t h

Choose all of the expressions that are equal to −9.


the distance from zero to nine
−(−9)
the opposite of nine
|−9|
−|9|
−|−9|

Answers

Answer:  -|-9|, -|9|, and the opposite of nine

Step-by-step explanation:

The absolute value symbol is | |. |-9| is 9 but add that - to it and it's -9. The absolute value of 9 is 9, add the - to it to get -9.

the opposite of 9 is -9.


Mark Me Brainliest Please ヾ(≧▽≦*)o twank yoww ~uwu :W

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