Let L be the line through A = (1, 2,−1) and B = (5,−3, 4).
Answer the following questions below:
1. Find a direction vector of L
2. Find a parameterization of L.
3. Find the two points on L that are at distance 2 away from A.
4. Find a unit speed parameterization of L.

Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) [tex]P(X \geq 48) = 0[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

From past experience, she is successful on 2% of her calls.

This means that [tex]p = 0.02[/tex]

50 calls.

This means that [tex]n = 50[/tex]

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

[tex]E(X) = np = 50*0.02 = 1[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]

[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]

[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]

So

[tex]P(X \geq 48) = 0[/tex]

Answer:

Step-by-step explanation:

a.10^4=10000

b.10×9×8×7=5040

Answer:

Baking a cake is a chemical change.

Step-by-step explanation:

The baking powder or baking soda will undergo a chemical reaction. The heat helps baking powder or soda produce tiny bubbles of gas which makes the cake light and fluffy. That's why chemical reactions are involved in baking a cake.

Answer:

The interest is $20 per year

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

using the formula you gave, you can plug in the numbers, i=200 * .10 * 1 since you start with 200 dollars, have a 10% interest rate, and it has been one year, then solve to get 20

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

The expression A' represents the statement for all of the elements which are not in set A.

A set is a collection of well defined objects.

Given that A students wants to write an expression for all of the elements which are not in set A.

The elements within set A are denoted by A.

We have to find  all of the elements which are not in set A.

U represents the universal set and A is the given set.

A'=U-A

Hence, the expression A' represents the statement for all of the elements which are not in set A.

To learn more on Sets click:

https://brainly.com/question/8053622

#SPJ1

For 2 weeks tony will spent time for practice basketball is 10 hours.

Given data :

1st week

= Tuesday = 2 hours

= Wednesday = 1 hour

= Friday = 2 hours

same for 2nd week

so total hours = 1st week + 2nd week

                       =  2 + 1 + 2 + 2 + 1 + 2

                       = 10 hours

Learn more about time refer to :

https://brainly.com/question/17146782

#SPJ1

Answer:

what do you need help with

Step-by-step explanation:

in order for me to answer you need to pit the problem

Answer:

r = 7.50 + (1.10 × (m - 1))

r = 7.50 + (1.10 × (9 - 1))

r = 16.40

The total uber rate for 9 miles is $16.3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

First-mile charge = $7.50

Additional charges after the first mile = $1.10

The total charge for 9 miles.

r = 7.50 + 1.10 x 8

r = 7.50 + 8.8

r = $16.3

Thus,

The total rate for 9 miles is $16.3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

$6.33

Step-by-step explanation:

42.40 x 0.15 = $6.33

Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.

At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.

At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.

Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4 x 7 is 28

7 full boxes

random characters so I can submit this anwser to you

Answer:

90x+(-7y)=x+y

Step-by-step explanation:

i think

Step-by-step explanation:

=>(b*-b²)+(b*4b)-(b*3b)-(2*-b²)+(2*4b)-(2*3b)

=>-b³+4b²-3b²-2b²+8b-6b

=>-b³+b²-2b²+2b

=>-b³-b²+2b

Answer:

Step-by-step explanation:

Answer: 10:9, 10/9, 10 to 9.

Step-by-step explanation:

Considering that the diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005". the maximum allowable pipe diameter is 0.501''

The maximum allowable pipe diameter is calculated by

finding the total thickness of pipe

= interior diameter + 2 * pipe thickness

= 0.49 + 2 * 0.005

= 0.49 + 0.01

= 0.50

The diameter variance gives the range of the allowable diameter to ± 0.001 for maximum allowable pipe diameter we use + 0.001

hence

= 0.50 + 0.001

= 0.501

Learn more about pipe diameters at:

https://brainly.com/question/23860097

#SPJ1

Answer:

C. 25

Step-by-step explanation:

Have a great day!

Answer:

A

Step-by-step explanation:

hope you have a great day!!

Answer:

D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

Step-by-step explanation:

Given

[tex]A:0\ 12\ 24\ 36\ 48[/tex]

[tex]B: 0\ 3\ 6\ 9\ 12[/tex]

Required

The true statement

Option D is true, and the proof is as follows.

The interpretation of D is:

[tex]B = \frac{1}{4}A[/tex]

When [tex]A = 0[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 0 = 0[/tex]

When [tex]A = 12[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 12 = 3[/tex]

When [tex]A = 24[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 24 = 6[/tex]

When [tex]A = 36[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 36 = 9[/tex]

When[tex]A = 48[/tex]

[tex]B = \frac{1}{4}A = \frac{1}{4} * 48 = 12[/tex]

Compare the calculated values with the given values of B, we have:

[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Calculated

[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Given

Hence, (d) is correct

Answer:

d yw

Step-by-step explanation:

i took the test

Answer:

73

Step-by-step explanation:

so basically this process is rather easy, okay what u have to do is find the area but since u cant u just have to try your best and go over the answer with a friend, oh you have none? Sorry for assuming, so just ask siri if you have 0 friends, the formula should look a little like this:

A=l*w or A=b*h

which than u would have to add up the circumference (sorry for not mentioning that earlier) so the new formula would be a little like this

A+C=

than thats your answer (it should be 12.)

Answer:

12

Step-by-step explanation:

(0.4+ 1.6) x 6 = 2 x 6 = 12

Answer:

12

Step-by-step explanation:

(0.4 + 1.6) x 6

(2) x 6

12

Answer:

9%

Step-by-step explanation:

Given that

The invested amount is $1,000

The future value is $2,400

The time period is 12 years

We need to find out the annual rate that compounded continously

So,

As we know that

Amount = Present value × e^(rate × time)

$2,500 = $1,000 × e^(rate × 12)

2.5 = e^(rate × 12)

ln 2.5 = 10r

ln 2.5 ÷ 10 = r

r = 9%

Answer:

24

all u have to do is draw out a tree diagram or multiply 6*4

Answer:

janajaaajwjjwwjwjwuwjwjjw

Answer: the answer is 21 squared

Answer:

21cm²,22cm  (write both of them. they give you the total marks.)

Step-by-step explanation:

Answer:

6.36

Step-by-step explanation:

42.40x0.15=6.36

....

Answer:

$6.36

Step-by-step explanation:

42.4 x 0.15 = 6.36

Answer:

yeah they are the same

Step-by-step explanation:

-2.11428571429

Step-by-step explanation:

By using the commutative property, regardless of how the numbers are listed using addition or multiplicaton, they will equal the same thing.

So, a+b=b+a, which is what is present for your question.

Answer:

1/2

Step-by-step explanation:

Answer:

Option D is correct

Step-by-step explanation:

The options for the question is

a)cluster sample

b)convenience sample

c)simple random sample

d)stratified random sample

e)systematic random sample

Solution

The sampling here comprises of students from all the major of college. Here the major can be considered as "strata" of the educational institute. Out of these, strata or majors five students are selected on random basis.

This is a form of stratified random sample

Hence, option D is correct

Answer:

5 2/3

Step-by-step explanation:

Hope it helps plz give brainliest ! :D