MATHEMATICS
MIDDLE SCHOOL

Answer: First, list the fractions in between. 2.41, 2.42, 2.43, 2.44, 2.45, 2.46, 2.47, 2.48, 2.49, then 2.5. When looking at the list, you can see that 2.45 is halfway between 2.4 and 2.5. One other way to find it is thinking what is between 0 to 10? The answer is 5. Therefore, halfway between 2.4 and 2.5 is 2.45, and that is the area of the park.

MIDDLE SCHOOL

What is the difference between "x times x" and "x plus x"?

Well first off x times x is squaring whatever the number is while x plus x is just multiplying by 2

Well, it's multiplication and addition.

They use different operations.

They use different operations.

HIGH SCHOOL

(a) Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin x at the point (π/6, 4) (b) Find the unit vectors that are perpendicular to the tangent line.

In this exercise we need to use the concept of derivative. In each item, we will get two vectors, Thus, we will have four unit vectors in all. Therefore, let's solve this problem step by step:

a.1) First vector

We know that the derivative is the slope of the tangent line of a function at a certain point. First of all, we need to parameterize the function. To do this, just say that , therefore:

Therefore. let's name to the first vector:

By evaluating this derivative at the point at the point (π/6, 4), that is, we have:

Finally, the unit vector is found by dividing this vector by its norm:

Norm:

Therefore:

a.1) Second vector

This vector can be found by multiplying the previous one by -1, therefore:

b.1) First vector

This vector is found by rotating one of the tangent unit vector 90 degrees. To do this, we need to interchange the components of the vector and set up one of them negative, say:

For this purpose, let's take the vector , so the first unit normal vector is:

b.2) Second vector

This vector is also found as in the item a.2), therefore:

So the following are the answer of your questions and i hope this will help to your study and your assignments:

a.(sqrt(13)/13, 2sqrt(39)/13)

b.(2sqrt(39)/13. -sqrt(13)/13)

I hope you understand my answer and feel free to ask for more clarification and questions. Have a nice day

a.(sqrt(13)/13, 2sqrt(39)/13)

b.(2sqrt(39)/13. -sqrt(13)/13)

I hope you understand my answer and feel free to ask for more clarification and questions. Have a nice day

HIGH SCHOOL

Which statement is correct about a line and a point?

A line and a point can be collinear” is correct about a line and a point.

In geometry a line:

• is straight (no curves),

• has no thickness, and

• extends in both directions without end (infinitely).

In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built.

Answer is A) Colinear

MIDDLE SCHOOL

If 30 percent of a certain number is 240 what is 50 percent the number

Answer:

The value of 50 % of number is 400 .

Step-by-step explanation:

Given as :

Let The number be x

According to statement

30 percent of a number is 240

I.e 30 % of x = 240

Or, × x = 240

Or, 0.3 × x = 240

So. x =

∴ x = 800

SO, The number is 800 .

Now again 50 percent of that number = y

I.e y = 50 % of x

or, y = 50 % of 800

Or, y = × 800

Or, y = 0.5 × 800

∴ y = 400

Hence The value of 50 % of number is 400 . Answer

Answer:

400

Step-by-step explanation:

0.30 * x = 240

x = 240/0.30 = 800

0.50 * 800 = 400

MIDDLE SCHOOL

Which numbers are greater than 3x10^-7

3x10^-7 = 3 / (10^7) = 3 / 10000000 = 0.0000003;

A number greater then 0.0000003 is 1.

A number greater then 0.0000003 is 1.

HIGH SCHOOL

What conditions (and theorem) must be met in order for a sampling distribution of means to be approximated by a normal distribution?

For the answer to the question above what conditions (and theorem) must be met in order for a sampling distribution of means to be approximated by a normal distribution? The answer is

n p > 10

n(1-p) > 10

Hope you know what n and p are

n p > 10

n(1-p) > 10

Hope you know what n and p are

MIDDLE SCHOOL

Is 145 oz bigger than 9lb

Answer:

yes 145 equals 9.0625 in lb

Step-by-step explanation:

Answer:no because 1lb= 16 oz so 9×19= 144

Step-by-step explanation:

COLLEGE

the memeory card on the digital camera can hold 430 pictures Melcher used 18% of the memory card whie taking picutures at a family reunion about how pictues can Melcher still take at another event round to the nearest whole number

X= # more pictures available

x= total pictures - (total pictures * 18%)

x= 430 - (430 * 18%)

x= 430 - (430 * 0.18)

x= 430 - 77.4

x= 352.6

x= 353 pictures available to take - rounded up because you cannot use a half a picture

Hope this helps! :)

x= total pictures - (total pictures * 18%)

x= 430 - (430 * 18%)

x= 430 - (430 * 0.18)

x= 430 - 77.4

x= 352.6

x= 353 pictures available to take - rounded up because you cannot use a half a picture

Hope this helps! :)

COLLEGE

The length of time (in seconds) an individual takes to use an ATM is Normally distributed with mean 100 and standard deviation 10. When Jackson arrives at an ATM, he finds 4 individuals waiting in a queue to use the machine. Let T be the duration (again, in seconds) of the period that starts when the first individual in queue accesses the ATM and ends when the last individual in queue leaves the ATM. Find P(T<360).

Answer:

0.1587

Step-by-step explanation:

let X be the length of time (in seconds) an individual takes to use an ATM

X is N(100,10)

T = the duration (again, in seconds) of the period that starts when the first individual in queue accesses the ATM and ends when the last individual in queue leaves the ATM.

Required probability = P(T