All categories

3 years ago

How can Brady use fraction strips to show that 3÷4 and 7÷8 are not equivalent

Mathematics

1 answer:

kolbaska11 [484]3 years ago

6 0

Brady can draw 2 rectangular boxes, both the same size and shape, break the top one up into 4 parts and color in 3 of the 4 boxes, this represents the fraction 3/4. Break the second box up into 8 parts and color in 7 of them. You will see that 7/8 is more than 3/4.

You might be interested in

I can’t figure this out at all, please help me!

Sidana [21]

The Bell Curve aka Normal Distribution aka Gaussian is important stuff that everybody functioning in modern society should understand at least up to the 68-95-99.7 rule.

A normal distribution is characterized by a mean μ and a standard deviation σ. The distribution has the characteristic bell shape, with the center of the bell at x=μ.

The value of σ says how wide the bell is. That's where the 68-95-99.7 rule comes in. The first value, 68, means that 68% of the area of the bell curve is contained in plus or minus one standard deviation. That means there's a 68% chance a random x drawn from this distribution is between μ-σ and μ+σ.

The 95 means that 95% of the area of the bell within two standard deviations of the mean. A random x has a 95% chance of being between μ-2σ and μ+2σ.

It's the same story for 99.7% except that encompasses everything within three standard deviations of the mean.

Now let's answer the question. We have μ=10, σ=1.5.

a. We want a 95% probability, which we learned is within two standard deviations, two sigma of the mean. So the lower bound is 10 - 2(1.5) = 7 and the upper bound is 10 + 2(1.5) = 13.

Answer: 7 to 13

b. We're asked for 68%; we know that's one sigma, from 10-1.5 to 10+1.5.

Answer: 8.5 to 11.5

μ=72, σ=2

We want P(x < 68)

In general to do these sorts of problems we convert our x test on the particular normal distribution given to a z test on a standard normal distribution with mean zero and standard deviation one.

z = (x - μ)/σ = (68 - 72)/2 = -2

We're interested in P(z < -2), i.e. the probability we landed more than two standard deviations below the mean. The 68-95-99.7 rules says 95% is between plus or minus two sigma, which leaves 5%, split equally between being less than minus two sigma and more than plus two sigma.

Answer: 2.5%

I forgot to answer part b. Here we go.

Between 70 and 72 inches is between -1 standard deviation below the mean and the mean. So we want the area of the bell curve between z=-1 and z=0. That's half of the 68% that we get when we go from z=-1 to z=1.

Answer: 34%

8 0

3 years ago

BNHA fans whats your favorite pairing/duo and why?

igor_vitrenko [27]

My Favorite paring from BNAH has to be Honestly be Kirishima and Bakugou cause Kiri and Baku have made such an amazing bond over the time of the anime also I would Love to know yours and your opinion. Peace out

:P :D

4 0

3 years ago

A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no mo

sesenic [268]

Answer:

≈ $44.4%$ $%$ %

Step-by-step explanation:

The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be $\frac{20}{45}$ which is about 44.4%.

3 0

2 years ago

Which equation has the same solution as this equation?

lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1 , b = -16 & c = 12

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}$

$x=\frac{16\pm\sqrt{256-48}}{2}$

$x=\frac{16\pm\sqrt{208}}{2}$

$x=\frac{16\pm4\sqrt{13}}{2}$

$x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}$

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20 and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6 and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x = 8 + 2√13 and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8 and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0

3 years ago

I need help on number 1

Neko [114]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*5^2

=3.14*25

=78.5 ft^2

5 0

3 years ago