Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard
deviation of 2.9 in.
The area greater than the Z-score is the probability that a randomly selected 14-year
old boy exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in.?

Answers

Answer 1

Answer:

P(Z>2.24) = P(70<X<1e99) = 1.25%

Step-by-step explanation:

Calculate Z-score:

Z=(x-μ)/σ

Z=(70-63.5)/2.9

Z=6.5/2.9

Z=2.24

Find area greater than Z-score:

P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.


Related Questions

1) 1Find the measure of the arc or angle indicated by a question mark (?). Assume that lines that appear to be tangent are tangent. ​

Answers

Answer:

120 degrees

Step-by-step explanation:

55+ 185/2 = 120

PLS HELP SHOW ALL UR STEPS AND PLZ DONT GIVE ME A LINK TO FOLLOW IM JUS A LITTLE KID TRYNNA GET THIS RIGHT

Answers

third side =√{30²+16²)=34

sin theta/2=16/34

theta/2=sin-¹(16/34)

theta=28.07×2=56.14

The area of a triangle is 108 square meters. If the height is 12 meters, what is the length of the base?

Answers

Answer:

area of triangle = 1/2 b×h

Step-by-step explanation:

108=1/2×b×12

108×2=12b

216/12=b

18=b

find the length of the third side. if necessary, round to the nearest tenth. 12 5

Answers

Answer:

The Answe for the third side is 60

How Do You Know a Solution is a Solution

Answers

Solution in terms of general solution of an equation means the final answer that is gotten for solving the equation

how can you tell two objects are similar when all you did is make the the object smaller by a scaled factor?

if good answer... will give brainly and also 5 stars and everything​

Answers

Answer:

You can tell if they are similar if all the angles correspond and the sides are all scaled down by the same factor. For instance, a triangle with sides of 30, 40, and 50 scaled down by a factor of 2 would have sides of 15, 20, and 25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

el acensor de 8 es 7'?

Answers

Answer:

La planta de la que ha salido el ascensor es: -1(planta del sótano)

Datos:

Subió 8 pisos

Piso final= 7

Explicación:

Para resolver el enunciado, se debe tener en cuenta que:

Piso final - Piso inicial= 8

Reemplazando y despejando:

7-Piso inicial= 8

Piso inicial= 7-8

Piso inicial= -1

Por lo tanto, ha salido de la planta del sótano

Verificando:

Piso inicial +8= piso final

-1+8= Piso final

7= piso final

Profundiza en matemáticas en brainly.lat/tarea/10834640

Step-by-step explanation:

Answer:

¡Eso es extraño! Espero nunca llegar a ver que me perdería. ¿Sería como si el octavo piso fuera en realidad siete?

Step-by-step explanation:

(2x+1)(x^3+2x^2-3) I need this answer

Answers

Answer:

2^4+5^3+2^2−6−3

Step-by-step explanation:

Distribute, Combine like terms, Rearrange terms from most ^# to least- then -3

Answer:

= 2x⁴+5x³+2x²-6x-3

Step-by-step explanation:

(2x+1)(x³+2x²-3)

= (2x⁴+4x³-6x)+(x³+2x²-3)

= 2x⁴+4x³-6x+x³+2x²-3

= 2x⁴+5x³+2x²-6x-3

Which fraction is equivalent to 10/15

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

divide each number by the GCF of the two: 5

10/5 = 2

15/5 = 3

Simplify it: 2/3

Final Answer for 6.39 ÷ 0.09?

Answers

Answer:

71 is the answer. Good luck

Answer:

71

Step-by-step explanation:

count the numbers of triangles in the figures​

Answers

Answer:

A

Step-by-step explanation:

look it carefully.

In a given equation, C varies inversely with D. If C is 50 when D = 11.5 , find C when D = 20

Answers

Answer:

Sry I don't know yrrrrrrrrrrrr

someone please help me answer this

Answers

b= 30
a2+b2=c2
72^2+b^2 = 78^2
5184+b^2 = 6084
b2 = 900
b = 30

Answer:

b = 30 km is the answer

Step-by-step explanation:

a = 72 km

b = ?

c = 78 km

According to the Pythagoras theorem,

a² + b² = c²

72² + b² = 78²

5184 + b² = 6084

b² = 6084 - 5184

b² = 900

b = 30 km

∴ b = 30 km is the length of the missing leg

Which of the following is true about the figure?

a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM​

Answers

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

find the angle of elevation of a kite on a 50m
string flying 40m vertically above the ground.

Answers

sin(x)=40/50
x= sin^-1(40/50)
x= 53.1301023542—>53.1 rounded to the nearest tenth
angle of elevation is 53.1

The angle of elevation of a kite is 53.13°

What is angle of elevation?

"It is the angle formed by the line of sight and the horizontal plane for an object above the horizontal surface."

What is sine angle?

"For a right triangle, the sine of acute angle [tex]\theta[/tex] is,

[tex]sin(\theta)=\frac{opposite ~side}{hypotenuse}[/tex]"

For given question,

Consider the following diagram for given question.

The length of the string (AC) = 50m

The kite is flying 40m vertically above the ground.

⇒AB = 40m

We need to find the angle of elevation [tex]\theta[/tex]

Consider the sine of angle  [tex]\theta[/tex]

[tex]\Rightarrow sin(\theta)=\frac{AB}{AC} \\\\\Rightarrow sin(\theta)=\frac{40}{50}\\\\\Rightarrow sin(\theta)=0.8\\\\\Rightarrow \theta=sin^{-1}(0.8)\\\\\Rightarrow \theta=53.13^{\circ}[/tex]

Therefore, the angle of elevation of a kite is 53.13°

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Sin 17° cos 13° + cos 17° sin 13°​

Answers

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

The population of racoons in a town increased by 10% from Year 1 to Year 2. The population of racoons in Year 2 is 66.

Answers

Answer:

59.4 year one

Step-by-step explanation:

i dont know  if this what you mean but i think this is what you mean

NO FILE HOSTING LINKS!!!!!!
BRAINLIEST!!!
PLEASE HELPP
Answer each part. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

A. 7 pounds

B. $1.60

Step-by-step explanation:

For A you Divide 21 by 3

For B you Divide 14 by 9

Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.

Answers

Answer:

f(x)=39.59 (1.09)

Use the model to predict the home’s value.

After 12 years, the home’s value will be about $

111 thousand.

After 35 years, the home’s value will be about $

808 thousand.

Step-by-step explanation:

Edge 2021 :)

A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A general exponential equation is given as,

y = A(1+b)ˣ

Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,

38.9 = A(1+b)ˣ

A = 38.9

Therefore, the equation can now be written as,

y = 38.9(1+b)ˣ

Substitute the second point in the equation,

y = 38.9(1+b)ˣ

62.4 = 38.9(1+b)⁵

1.604113 = (1+b)⁵

1+b = 1.09912

b= 0.09

Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.

B.) Now the value of the house after 12 years,

y=38.9(1.09)ˣ

y=38.9(1.09)¹²

y = 109.41

The home’s value will be about $ 109.41 thousand.

C.) After 35 years, the home’s value will be,

y=38.9(1.09)ˣ

y=38.9(1.09)¹⁰⁰

y = 215.079.68

After 35 years, the home’s value will be about $215.079.68 thousand.

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Please help I’ll mark you as brainliest if correct

Answers

Answer:

190.5 Centimeters.

Step-by-step explanation:

Brainliest pls?

A triangle on a sphere could have____
degrees.
A. 175
B. 220
C. 180
D. any number of

Answers

Answer:

I guess it is 180

Step-by-step explanation:

have a good day!

A triangle on a sphere could have 220 degrees. Therefore, the correct option is option B among all the given options.

What is spherical triangle?

This spherical triangle is indeed a shape created on a sphere's surface by three.  The spherical triangle is indeed a shape created on a sphere's surface by three large circular arcs coming together pairwise at its three vertices.

The spherical triangle, which is frequently referred to as an Euler triangle when three of its vertices are intersected pairwise by circular arcs, is the spherical equivalent of the planar triangle. The spherical triangle, also known as an Euler triangle, is the spherical equivalent of the planar triangle. A triangle on a sphere could have 220 degrees.

Therefore, the correct option is option B.

To know more about spherical triangle, here:

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Jack bought 3 slices of cheese pizza and 4 slices of
mushroom pizza for a total cost of $12.50. Grace
bought 3 slices of cheese pizza and 2 slices of
mushroom pizza for a total cost of $8.50.
a. What is the cost of one slice of cheese pizza and
one slice of mushroom pizza?
b. Jordyn met Jack and Grace for pizza. She bought 5
cheese slices and 2 mushroom pizzas. How much did
she spend?

Answers

A) each slice costs 1.70 1.70x2=3.40 (8.50/5=1.70)
B)each slice still costs 1.70 1.70x7=11.90

Write a proportion

Four fruit smoothies use 2 1/2 cups bananas. How many cups of bananas are needed to make six fruit smoothies? Will give Brainest if explained

Answers

Step-by-step explanation:

4 smoothies = 2 1/2 banana

you need to make 2 more smoothies, So half of what you did already.

(2.5)/2= 1.25 then add them (2.5)+(1.25)

6 smoothies = 3.75 or 3 3/4, same thing.

A cooler contains eleven bottles of sports drink: five lemon-lime flavored, three orange flavored, and three fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Answers

Answer:

the reason you picked up more lemon lime drinks was because it had the most in the cooler.

Step-by-step explanation:

Answer:

25/121 chance of grabbing a lemon-lime bottle twice.

Step-by-step explanation:

5/11 chance the first time, times 5/11 for the second time (no removal factor) is 25/121 chace, or around a 20.66% chance.

The sum of two numbers is 66. The smaller number is 18 less than the larger number. What are the numbers?

Answers

x+y=66
x-18=y

x+x-18=66
2x=66+18
2x=84
x=84/2
x=42

y=x-18
y=42-18
y=24

Check:
42+24=66

42-18=24

Good luck.

Please help with this, its do right know

Answers

The answer is A because it can be put into the equation: y= 3x+10

Answer:

A

Step-by-step explanation:

y = 3x + 10

Ur welcome

i’ll give brainliest please help it's due in 30 min

Answers

Answer: √8
Explanation: x=(5/√8) x (√8 √8)

what is the sum, product of
[tex]2 {x}^{2} + 3x = 0[/tex]

Answers

I believe the sum of the root is: -3/2
And the product of the root is: 0

I hope this helps and have a great week :)

HELP PLEASEEE!!! ILL GIVE BRAINLIEST

Answers

Answer:

A:8yd

B:2ft

Step-by-step explanation:

A.....All sides of a square are equal and a square has four side so take 32yd/4 and get 8

B.....square root of 4

How many pairs of glasses can we make with the foil beads and how many foil beads will be left over ?

Answers

Answer:

I hate to break it, but you ain't giving any information or numbers

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