First you need to find the area of the lawn. To find the area of a square, you multiply two sides together. You have two sides given, which is super helpful.

I put in my calculator, (40+4/5)x(50+7/8) and this gave me the answer of 2075.7.
You need to then divide that number by 500, and divide it by 300, and then round up, cause if you round down you’re not gonna have enough seed.

2075.7/500 = 4.1514, but then this needs to be rounded up or he’ll be 0.1514 short. So he needs 5 bags for the highest setting.

2075.7/300 = 6.919, so for the lowest setting, he needs 7 bags of seed.

This should be correct.

Hope this helps :)

6 0

3 years ago

US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average

scoray [572]

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

$\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50$

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79$

The 99% confidence interval for the population mean is (7661.21, 7918.79).

8 0

3 years ago