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3 years ago

5

Remember that you can multiply by the reciprocal of the divisor when you divide by a fraction. find each quotient. simplify if p

ossible
1. 1/3÷2
2. 1/7÷7
3. 1/2÷8
4. 1/8÷2

1 answer:

QveST [7]3 years ago

4 0

1. 1/6
2.1/47
3. 1/16
4. 1/16

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James folds a piece of paper in half several times,each time unfolding the paper to count how many equal parts he sees. After fo

Snezhnost [94]

Answer:

There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

The needed function is $y = 2 ^n$

Step-by-step explanation:

Let us assume the piece of paper James decides to fold is a SQUARE.

Now, let us assume:

n : the number of times the paper is folded.

y : The number of parts obtained after folds.

Now, if the paper if folded ONCE ⇒ n = 1

Also, when the pap er is folded once, the parts obtained are TWO equal parts.

⇒ for n = 1 , y = 2 ..... (1)

Similarly, if the paper if folded TWICE ⇒ n = 2

Also, when the paper is folded twice, the parts obtained are FOUR equal parts.

⇒ for n = 2 , y = 4 ..... (2)

⇒ $y = 2^2 = 2^n$

Continuing the same way, if the paper is folded SEVEN times ⇒ n = 7

So, $y = 2^ n = 2^7 = 128$

⇒ There are total 128 equal parts.

Lastly, if the paper is folded ELEVEN times ⇒ n = 11

So, $y = 2^ n = 2^{11} = 2048$

⇒ There are total 2048 equal parts.

Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

And the needed function is $y = 2 ^n$

8 0

4 years ago

A) x = -2<br> B) y =2<br> C) y= -2

LenKa [72]

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

$y=a(x-h)^2+k$ so that means that $a=\frac{1}{8}$ . We can use that to solve for p in the formula

$p=\frac{1}{4a}$ so

$p=\frac{1}{4(\frac{1}{8}) }$ which simplifies to

$p=\frac{1}{\frac{1}{2} }$ which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

6 0

3 years ago

{4x-2y<0}<br> {5x+3y<-11}

kkurt [141]

Finding the sum for y in the equation 4x-2y< 0
so 4x - 2y = 0
4x - 2y - 4x would equal 0 - 4x
-2y = -4x
-2y divided by -2 equals -4x / -2
That means y=2x

3 0

3 years ago

Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t

Wittaler [7]

Answer:

$a=30 +1.04*8=38.32$

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.

C) 38.32

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,8)$

Where $\mu=30$ and $\sigma=8$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

We want to find a value a, such that we satisfy this condition:

$P(X>a)=0.15$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.04$

And if we solve for a we got

$a=30 +1.04*8=38.32$

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.

C) 38.32

7 0

4 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=35°, and IJ = 72 feet. Find the length of HI to the nearest tenth of a foot.

Dafna1 [17]

Answer:

125.5 feet

Step-by-step explanation:

8 0

3 years ago