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3 years ago

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1. is the number written in scientific notation? if not, explain. 4.8 x 100^7 a) no; it is not written as a number times a power

of 10. b) yes; the number is written in scientific notation. c) no; the first factor is not a number between 1 and 10.

1 answer:

Nonamiya [84]3 years ago

3 0

<span>no; it is not written as a number times a power of 10.</span>

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Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in

grin007 [14]

Answer:

$(B) P(B)=\dfrac{16}{31}$

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

$P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}$

The only correct option is the probability of B which is $\frac{16}{31}$

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3 years ago

If T is the midpoint of CE then CT=TE

mr_godi [17]

Answer: true statement

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2

weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

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3 years ago

What type of relationship does this pair of angles have? A.They are complementary angles.

Zinaida [17]

The answer to this question is D

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3 years ago

You created a new playlist in 100 of your friends listened to it and shared if they likedThe new playlist or not nadhi said the

Nostrana [21]

Given

You created a new playlist in 100 of your friends listened to it and shared if they liked

The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Dylan said that for every three people who like to playlist one person did not

Find out Do Nadhii and Dylan Agree or not.

To proof

As given in the question

created a new playlist in 100 of your friends listened to it and shared if they liked

new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Simply the ratio of people who liked the playlist to those who did not like the playlist

$= \frac{75}{25}$

$= \frac{3}{1}$

Thus

$\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}$

also

Dylan said that for every three people who like to playlist one person did not

In the form of ratio written as

$\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}$

the value of both new playlist and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.

The value both of their ratio are equivalent .

Thus Nadhii and Dylan Agree

Hence proved

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3 years ago