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3 years ago

Please help me ASAP I need it

Mathematics

1 answer:

natita [175]3 years ago

4 0

Answer:

XYZ, SAS

Step-by-step explanation:

Because angle B corresponds with angle Y, side AB corresponds with side XY, and side BC corresponds with YZ, we see that side A corresponds with side X, side B corresponds with side Y, and side C corresponds with side Z.

This means that triangle ABC corresponds with triangle XYZ. Since we only know one angle and two sides, they are congruent due to the SAS postulate.

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One month, a homeowner used 150 units of gas and 520 units of electric for a total cost of $84.20. The next month, 210 units of

Savatey [412]

Answer:

Let g represent the cost of gas and e represent the cost of electricity.

150g + 520e = 84.20 ⇒ 7(150g + 520e = 84.20) ⇒ 1050g + 3640e = 576.80

210g + 405e = 82.35 ⇒ -5(210g + 405e = 82.35) ⇒ -1050g - 2025e = -411.75

1615e = 165.05

e = 0.10

150g + 520(0.10) = 84.20

150g + 52 = 84.20

140g = 32.20

g = 0.23

Answer: gas = $0.23, electricity = $0.10

Step-by-step explanation:

4 0

3 years ago

Let X equal the number of flips of a fair coin that are required to observe

Nataliya [291]

Answer:

(a) I attached a photo with the diagram.

(b) $f(x) = \big( \frac{1}{2} \big)^{x-1}$

(d) 4

(e) $k^2/2$

Step-by-step explanation:

(a) I attached a photo with the diagram.

(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.

To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.

1 - Your first outcome is HEADS and all the others are different except the last one.

2 - Your first outcome is TAILS and all the others are different except the last one.

Therefore the probability of the event is

$f(x) = P(X=x) = \frac{2}{2^x} = \frac{1}{2^{x-1}} = \big( \frac{1}{2} \big)^{x-1}$

(c)

P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.

$E(X > 4) = 1 - P(X \leq 3) = 1 - ( P(X = 0 ) + P(X = 1) + P(X = 2) + P(X = 3))\\= 1 - ( \frac{1}{2} + \frac{1}{4} ) = \frac{1}{4}$

(d)

Remember that this is a geometric distribution therefore

$E[X] = p/(1-p)$ , in this case $p = 1/2$ so $E[X] = 1$ and

$E[X+1]^2 = ( E[X] +1 )^2 = (1+1)^2 = 2^2 = 4$

Also

(e)

This is a geometric distribution so its variance is

$Var(X) = \frac{1-p}{p^2} = 1/2 / 1/4 = 1/2$

And using properties of variance

$Var(kX - k ) = Var(kX) = k^2 var(X) = k^2 /2$

3 0

4 years ago

Plz help ASAP!!!!!!!!!

N76 [4]

2. angle one congruent to angle two
3. angle congruence postulate
4. measure angle 2 is 90°
6. definition of right triangle

6 0

3 years ago

I need halp puh-lease

kozerog [31]

The answer should be 6! all you have to do is plug the numbers into the equation!
it would be like this:
-1^2+3^2+(-1)-3
doing all of that would equal 6!

4 0

3 years ago

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PLEASE HELP ITS A TIMED TEST! Jerry has 2 1/2 pounds of peanuts to share equally. He plans to share the peanuts among 5 people.

Anuta_ua [19.1K]

2 1/2 divided by 5=.5 everyone gets 1/2 of a pound. Good luck :)

7 0

3 years ago

Read 2 more answers