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3 years ago

Can anyone help pls ? This is my last question pls

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

Answer:

107

Step-by-step explanation:

(3+10^2)+4

10^2=10x10=100

3+100=103

103+4=107

Bogdan [553]3 years ago

3 0

Answer:

107

Step-by-step explanation:

Pemdas - Parantheses First

3+10 2 (p<em>e</em>mdas)

10*10=100+3=103 Parantheses Done!

103+4=107

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A set of a thousand numbers has a mean of zero.

Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

-----------------------------

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

Here we know that:

The mean of the set is 0.
The set has 1000 elements.
998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

$\frac{1 + 1 + 1 + ... A + B}{1000} = 0$

We can rewrite this as:

$1 + 1 + 1 +... + A + B = 0$

And we have 998 ones, then:

$1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A$

Now we have B isolated.

With this, the mean of A and B can be written as:

$\frac{A + B}{2} = \frac{A - 980 - A}{2} = -490$

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

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3 years ago

Dunkin Donuts makes its doughnuts for $2.00 each. DD wnats a 50% markup on the

vesna_86 [32]

Answer:
Cost of each donut should be $3.00

Step-by-step explanation:

please tell me if I am wrong. 2.00 x 0.5 is 1. 2 + 1 is 3.

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2 years ago

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You accept a job with a salary of $36,600. After 6 months, you receive a 5% raise. What is your new salary?

CaHeK987 [17]

Your new salary is; $38,430

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3 years ago

Find the area. Round to the nearest tenth.

olga_2 [115]

Answer:

Step-by-step explanation:

The area of a triangle is

$A=\frac{1}{2}bh$ and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:

$6^2=4^2+h^2\\36=16+h^2\\20=h^2\\h=2\sqrt{5}$

That's the height that we will sub into the area formula:

$A=\frac{1}{2}(12)(2\sqrt{5})\\A=12\sqrt{5}\\A=26.8$

8 0

3 years ago

You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob

koban [17]

Answer:

a) No, because the probabilities of winning the 2nd game are dependant on the result of the 1st game. The probabilities are different if you win or lose the first game.

b) P=0.42

c) P=0.08

X | P(X)

------------------

0 | 0.42

1 | 0.50

2 | 0.08

e) E(x)=0.66

s.d.=0.62

Step-by-step explanation:

a) No, because the probabilities of winning the 2nd game are dependant on the result of the 1st game. The probabilities are different if you win or lose the first game.

b) The probability of losing the first game is

$P(G_1=L)=1-P(G_1=W)=1-0.4=0.6$

The probability of losing the second game, given that the first game was lost is:

$P(G_2=L|G_1=L)=1-P(G_2=W|G_1=L)=1-0.3=0.7$

So the probability of losing both games is:

$P(G_2=L\&G_1=L)=P(G_1=L)*P(G_2=L|G_1=L)=0.6*0.7=0.42$

c) The probability of winning both games is:

$P(G_2=W\&G_1=W)=P(G_1=W)*P(G_2=W|G_1=W)=0.4*0.2=0.08$

d) The variable X can take values 0, 1 and 2.

X=0 is when both games are lost. This happens with probability P=0.42.

X=2 is when both games are won. This happens with probability P=0.08.

X=1 is when one game is won and the other is lost. This happens with probability P=1-0.42-0.08=0.50.

Then the table of probabilities become:

X | P(X)

------------------

0 | 0.42

1 | 0.50

2 | 0.08

e) The expected value is:

$E(x)=\sum p_ix_i=0.42*0+0.50*1+0.08*2=0.00+0.50+0.16=0.66$

The variance and standard deviation of x are:

$V(x)=\sum p_i(x_i-E(x))^2\\\\V(x)=0.42(0-0.66)^2+0.50(1-0.66)^2+0.08(2-0.66)^2\\\\V(x)=0.42*0.4356+0.50*0.1156+0.08*1.7956\\\\V(x)=0.183+0.058+0.144=0.385\\\\\\\sigma=\sqrt{V(x)}=\sqrt{0.385}=0.62$

The standard deviation can

5 0

3 years ago