Guys can someone help me with these problems please?

Heidi is making a tower using sugar cubes. Each sugar cube has a side length of 1 cm. Each layer has 4 sugar cubes, arranged in

Archy [21]

Answer:

3 layers

Step-by-step explanation:

Given

$L = 1cm$ --- side length of the cube

Each layer = 2 * 2 cube

$Volume = 24cm^3$

Required

Determine the number of layers

First, we calculate the volume of each layer:

The length of the layer is:

$Length = 2 * L$

$Length = 2 * 1cm$

$Length = 2cm$

Next, we calculate the volume of each layer:

$Volume = Length^3$

$Volume = (2cm)^3$

$Volume = 8cm^3$

The number of layer is calculated by dividing the volume of the tower by the volume of each layer

$Layers = \frac{24cm^3}{8cm^3}$

$Layers = 3$

4 0

3 years ago

To track the reptile population around a lake, researchers marked 200 turtles. A few weeks later, they counted 480 turtles, of w

True [87]

Answer:

1500

Step-by-step explanation:

64/200 = 32/100 = 16/50 =

8/25 of 480 turtles marked

divide 480 by 8 and then multiply the quotient by 25

480/8= 60

60*25=1500

6 0

3 years ago

4. Amazon executives believe that at least 70% of customers would return a product 2 days after it arrives at their home. A samp

inysia [295]

Using the normal distribution and the central limit theorem, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$