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3 years ago

Verify the identity.

Mathematics

2 answers:

sleet_krkn [62]3 years ago

5 0

Answer:

Van Wayne en diere net banako maile Sondag wetenskap en

nataly862011 [7]3 years ago

5 0

Jeosejiwsnwn disbelief issijsise :)

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How many ways are there for Alice, Bob, Charlie, David and Eve to line up from left to right, such that Charlie is somewhere to

steposvetlana [31]

Answer:

120 ways

Step-by-step explanation:

Alice, Bob, David, Charlie, Eve

David, Alice, Bob, Charlie, Eve

Alice,David, Bob, Charlie, Eve

Charlie, Eve ,Alice,David, Bob,

Charlie, Eve ,Alice, Bob, David,

Charlie, Eve ,David, Alice, Bob,

Alice,Charlie, Eve , Bob, David,

Alice,Charlie, Eve , David, Bob,

Bob,Alice,Charlie, Eve , David, and so .

This is a permutation question as the order of placing Charlie to the left of Eve is important.

So the total number of people n= 5 and the possible order is 4 keeping Charlie left of Eve. Eve cannot have the last position to keep Charlie on the left.

Using the formula of nPr = n!/ (n-r)! we get

5! / (5-4)! = 120 ways in which Charlie can be placed to the left of Eve.

6 0

2 years ago

Ben has 12 models cars in his room. These cars represent 1/2 of the model car in Ben's wholecollection. How many model car ben h

Maksim231197 [3]

Answer:

Step-by-step explanation:

if 12 cars are half of his collection, his entire collection is 12(2) which equals 24

6 0

2 years ago

A sociologist wants to determine if the life expectancy of people in africa is less than the life expectancy of people in asia.

Colt1911 [192]

Answer:

The sample statistics are attached.

First, we need to determine the hypothesis.

The null hypothesis should be: $H_{o} : u_{africa} \geq u_{asia}$ .

The alternative hypothesis should be: $H_{a}: u_{africa}$

The next step is about calculating the t statistics based on the samples. This t test will give the probability value or p-value, which determines if there's enough to reject the null hypothesis. The formula we need to use to find the t-value is: $t=\frac{x_{1}-x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1} } +\frac{s_{2} ^{2} }{n_{2} } } }$

Replacing all the values into the formula, we have:

$t=\frac{52.4-58.1}{\sqrt{\frac{(7.4)^{2} }{45}+\frac{(8.8)^{2} }{35} } } \\t=\frac{-5.7}{\sqrt{1.2+2.2} } =\frac{-5.7}{1.8} =-3.2$

Therefore, the t-value is -3.2.

Now, we using a level of significance of 0.01, and a degree of freedom (df) of 34, we use the t-table to find the p-value for this results. (df = N -1; in this case, we take the smaller sample, which is 35, giving us 34 of df).

Therefore, according to the table attached, the p-value is less than 0.01, which is less than our level of significance. This result means that the null hypothesis is rejected. In other words, there's enough evidence to say that the life expectancy of people in Africa is less than the life of expectancy of people in Asia.

3 0

3 years ago

How to subtract hexadecimal number when one is bigger than the other?

Inessa05 [86]

Hello,

In order to be simple: let's code hexadecimal numbers on 4 digits.

Example: 500-200=300 (in décimal)

$500_{10}=01F4_{16}\\\\
200_{10}=00C8_{16}\\\\
For\ subtract\ 00C8\ we\ calculate\ 15th\ complement\\\\
C_{15}(00C8)=FF37\\\\

16th\ complement= FF37+0001=FF38\\\\

Then\ we\ add\\\\

01F4+FF38=(1)012C\ on\4\ digits:\ 012C\\

012C_{16}=300_{16}

$

7 0

3 years ago

What is the parametric form of the line r=(2,-3,0) + t (1,0,-1)?

NeX [460]

Answer:

Step-by-step explanation:

r=(2,-3,0) + t (1,0,-1)

r=(2+t, -3+0t,0+(-t))

x(t)=2+t

x(t)=t+2

y(t)=0t-3

y(t)=-3

z(t)=0+(-t)=-t

z(t)=0-t

z(t)=-t

6 0

2 years ago

Verify the identity.​

Verify the identity.