What is the volume in cubic feet of a square pyramid with base edges 40 ft and slant height 25 ft

A piece of machinery depreciated depriciates 6000 the first year, 5700 the second year and 5400 the third year. If the rate of d

Harrizon [31]

Answer:

The amount of depreciation of piece of machine after 6 years is 4,410 unit .

Step-by-step explanation:

Given as :

The first year depreciation amount = 6000

The second year depreciation amount = 5700

The third year depreciation amount = 5400

let the rate of depreciation = R

I.e R = $\dfrac{\textrm initial value - \textrm afinal value}{\textrm initial value}$ × 100

or, R = $\frac{6000-5700}{5000}$ × 100

Or R = $\frac{300}{5000}$ × 100

So , R = 5 %

This rate of depreciation is constant

Time period = 6 years

Now,

Value of machine after n years = initial value × $(1-\dfrac{\textrm rate}{100})^{n}$

or, Value of machine after 6 years = 6000 × $(1-\dfrac{\textrm 5}{100})^{6}$

Or, Value of machine after 6 years = 6000 × $(0.95)^{6}$

∴ Value of machine after 6 years = 6000 × 0.7350

I.e Value of machine after 6 years = 4,410

Hence The amount of depreciation of piece of machine after 6 years is 4,410 unit . Answer

3 0

3 years ago

From midnight to 4:00 am, the temperature dropped 1.75°C each hour. If the temperature at 4:00 am was -16°C, what was the temper

ANTONII [103]

Answer: -11 degrees Celsius

Step-by-step explanation:

4:00 am = -16 degrees

You know that 4:00am is four hours after midnight and you know that the temperature decreases by 1.75 degrees every hour so during that time it has dropped by:

1.75x4=7 degrees

Because it is -16 at 4:00am, you know it was 7 degrees higher at midnight

-16+7=-11

It was -11 degrees at midnight

6 0

3 years ago

When testing a hypothesis about a single mean, a sample size of 200 is selected from a normally distributed population. If the p

Evgen [1.6K]

Answer:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$\sigma$ represent the population standard deviation for the sample

$n=200$ sample size

$\mu_o$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to $\mu_o$ , the system of hypothesis would be:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

5 0

3 years ago

Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages i

oee [108]

Answer:

150= $\frac{1}{4}$ x, or 4(150)=x