The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of19.6 and a standard deviation of 5.0. At Voldemort High, 64 seniors take the test. Assume the individualscores at this school are modeled using the same distribution as national scores. What is the samplingdistribution of the sample average score for this random sample of 64 students

Answer:

the closest answer I got was A

Step-by-step explanation:

hope this helped at all

Answer:

It's B

Step-by-step explanation:

17 meters because 5^2+12^2=17 meaning the answer must be d

Answer:

yes you are right! the answer is c

Step-by-step explanation:

**reminder: the hypotnuse is always your longest side**

first do 5 square = 25

then do 12 squared = 144

now add 25+144= 169

and finally you do 169 square root which equals 13

Hope this helped!

Answer:

17.3 ft

Step-by-step explanation:

To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.

b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}

b = √784 - 484 {Subtract 484 from 784 to get 300.}

b = √300 {Find the square root of 300.}

b = 17.32051 {Round to the nearest tenth.}

b = 17.3 ft.

The bottom of the ladder will be 17.3 ft from the bottom of the building.

I hope this helps! ^w^

Answer:

Step-by-step explanation:

We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .

Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.

Answer:

The volume is 40.96 cubic feet

Step-by-step explanation:

Given

[tex]V\ \alpha\ h * d^2[/tex]

Where

[tex]V = Volume\\ h = height\\ d = distance[/tex]

[tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]

Required

The volume when h = 32 and d = 4

[tex]V\ \alpha\ h * d^2[/tex]

Express as an equation

[tex]V = khd^2[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = \frac{V}{hd^2}[/tex]

Substitute [tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]

[tex]k = \frac{15.84}{22 * 3^2}[/tex]

[tex]k = \frac{15.84}{22 * 9}[/tex]

[tex]k = \frac{15.84}{198}[/tex]

[tex]k = 0.08[/tex]

To solve for V when h = 32 and d = 4, we have:

[tex]V = khd^2[/tex]

[tex]V = 0.08 * 32 * 4^2[/tex]

[tex]V = 0.08 * 32 * 16[/tex]

[tex]V = 40.96[/tex]

The volume is 40.96 cubic feet

The volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

For this case, we have:
V = volume of the wood varying jointly as height of the tree and square of the distance around the trunk.

Let we take:

V will of course increase as r or h increases, and as it varies jointly, thus:

[tex]V \propto h r^2[/tex]

Let  the constant of proportionality be 'k', then:

[tex]V = kr^2h[/tex] (in cubic foot)

For case 1, it was specified that V = 15.84 cubic foot when r = 3 ft and h = 22 ft,

Putting these values gives us:

[tex]15.84 = k(3)^2(22)\\\\k = \dfrac{15.84}{198} = 0.08[/tex]

Thus, we have:

[tex]\rm V = 0.08r^2 h \: \rm ft^3[/tex]

Assuming second wood was also obtained from same kind of tree, we get the volume of the wood for h = 32 and r = 4 feet as:

[tex]V = 0.08 (4)^2 (32) = 40.96 \: \rm ft^3[/tex]

Thus, the volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]

Learn more about proportionality here:

https://brainly.com/question/13082482

Answer:

Candice

Step-by-step explanation:

Answer:

y=2/3x-13/3

Step-by-step explanation:

this is the equation

Answer:

The sale price was 54.55 but if you round it up its 55 hope i helped!

Step-by-step explanation:

Answer:

The answer is within the range of 0.1 - 0.9.

Step-by-step explanation:

For example, 0.5 could be the answer.

you should add two sums to get higher equation that means he took 45 minutes last year that is

42+3=45

Answer:

3 combinations

Step-by-step explanation:

Answer:

a) X  = 2/15 , 8/15, 1/3

b) attached below ( probability plot )

C) F(x )     attached below

d) cumulative probability plot

Step-by-step explanation:

a) Determine the probability of Function X

P( x = 0 ) =  6 / 45 = 2 /15  = 0.1333

P( x = 1 )  = 8/15  = 0.5333

P( x = 2 ) = 1/3  = 0.3333

Hence the probability of Function X = 2/15 , 8/15, 1/3

b) Graph of the probability Function of X

 x           0              1               2        

p(x)    0.1333     0.5333     0.3333

attached below is the plot ( probability plot )

c) Determine the Distribution function of CX

using the results achieved in part ( a )

attached below is the solution

d) Graph of distribution function of X

x              0                  1           2

p(x)     0.1333          0.6667     1

attached below is the plot ( cumulative probability plot )

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know ∠C is 90°

Now, to find ∠B, you should use the following equation:

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

B = 60

Hope it helps!!

Answer:

3

Step-by-step explanation:

36-27 = 9

[tex]\sqrt{9} = 3[/tex]

Answer:

Alli khanaw .................

Answer:

8x^36

Step-by-step explanation:

first term (a) = [tex]8x^{8}[/tex]

Second term (t2)= [tex]8x^{12}[/tex]

common ratio (r)

= [tex]\frac{8x^{12} }{8x^{8} }[/tex]

= [tex]x^{4}[/tex]

now the 8th term of the G.S is

t8 = [tex]ar^{n-1}[/tex]

  = [tex]8x^8 * (x^4)^8^-^1[/tex]

  = [tex]8x^8 * (x^4)^7\\[/tex]

  = [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]

hope it will help

Answer:

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

FG

Step-by-step explanation:

COOL AIDS BRO FAX AND MORE STUFF

The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For each pair of functions F and G below, find f(g(x)) and g(f(x)).

a)  f(x) = x - 4 and g(x) = x + 4

Then f(g(x)) will be

[tex]\rm f(g(x)) = x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = x[/tex]

The functions f and g  are not inverse of each other.

b) f(x) = -3/x and g(x) = 3/x

Then f(g(x)) will be

[tex]\rm f(g(x)) =- x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = -x[/tex]

The functions f and g  are not inverse of each other.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

Once Kenny gets 6 hats sold, he could gain the $3 he spent back, and once Ben sells 4 hats, he could gain the $1 he spent back.

Step-by-step explanation:

Answer:

3.280

Step-by-step explanation:

You just add a 0

Answer: 4

Step-by-step explanation:

4^2=16

Answer:

4

Step-by-step explanation:

When we square something we just multiply it by itself.

2 x 2 = 4 so not 2

3 x 3 = 9 so not 3 either

4 x 4 = 16 this one is correct!

8 x 8 = 64 not this one either

So the answer is 4 BOOM

Answer:

surface tension

Step-by-step explanation:

It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.

The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.

Answer: 375 ft

Step-by-step explanation:

once you  get all of the areas for the boxes which should be 100, 200, 75. add them all up to obtain the area of the shape which should equal 375 ft.

Answer: 1/8

Step-by-step explanation: hoped this helped :))

There is 1820 ways of teams of 4 can she make without repetition using combination formula.

What is combination?

  Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.

Here There are 16 total swim team members and 4 swimmers that will be chosen for each relay team.

So, n=16 and r=4. Then

=> nCr =  [tex]\frac{n!}{r!(n-r)!}[/tex]

=> 16C4 = [tex]\frac{16!}{4!(16-4)!}[/tex]

=> 16C4 = [tex]\frac{16!}{4!*12!}[/tex]

=> 16C4 = [tex]\frac{16*15*14*13}{4*3*2*1}[/tex]

=>16C4 = 4*5*7*13 = 1820

Hence there is 1820 ways  of teams of 4 can she make without repetition.

To learn more about combination refer the below link

https://brainly.com/question/28065038

#SPJ1

Answer:wheres the question

sadStep-by-step explanation:

sadsadsa

Answer: 6

Explanation: 8 + 4 divided by 2 = 6

I know this is definitely the correct answer but I forgot which theorem it is. If you need any further explanation I will gladly try and find some more.