Round each addend to the nearest whole number and estimate the sum.

1 answer:

8 0

Round each addend to the nearest whole number and estimate the sum.19.43 + 11.5 + 3.08
=> 19.43 = 19 nearest whole number
=> 11.5 = 12 Nearest whole number
=> 3.08 = 3 nearest whole number
=> 19 + 12 + 3 = 34 is the estimated whole number sum.

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PLEASE HELP DUE TODAY DO A AND B PARTS PLEASE PLEASE HELP ME FIGURE OUT THE LENGTH 100 POINTS

aksik [14]

Answer:

Length A: 5 ft

Width B: 4 ft

volume = 88 ft³

Step-by-step explanation:

Length A: 8 - 3 = 5 ft

Width B: 8 - 4 = 4 ft

Volume

The easiest way to calculate the volume is to split the trough into two rectangular prisms. (imagine drawing a horizontal line from the internal corner of A and 4ft to the left 8ft side).

Volume of a rectangular prism = width x length x height

Volume of rectangular prism 1: B x 8 x 2 = 4 x 8 x 2 = 64 ft³

Volume of rectangular prism 2: 3 x 4 x 2 = 24 ft³

Total volume = 64 + 24 = 88 ft³

6 0

2 years ago

Read 2 more answers

Suppose the weights of tight ends in a football league are normally distributed such that σ2=400. A sample of 11 tight ends was

AlladinOne [14]

Answer:

$217.636-1.96\frac{20}{\sqrt{11}}=205.817$

$217.636+1.96\frac{20}{\sqrt{11}}=229.455$

So on this case the 95% confidence interval would be given by (205.82;229.46)

Step-by-step explanation:

Assuming the following data: Weight 150 169 170 196 200 218 219 262 269 270 271

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma= \sqrt{400}= 20$ represent the population standard deviation

n=11 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

In order to calculate the mean we can use the following formula:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

The mean calculated for this case is $\bar X=217.636$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$