All categories

2 years ago

Can someone help me with 2) and 3)

Mathematics

2 answers:

zzz [600]2 years ago

8 0

2) 15+12=27
3) 66/6=11

Marat540 [252]2 years ago

4 0

2: 15+12= 27
3: 66/6=11

You might be interested in

Which of the following represents the approximate circumference of a circle with a diameter of 5.8 ft? A. 9.106 ft C. 18.212 ft

mario62 [17]

Answer:

C-18.212 feet

Step-by-step explanation:

7 0

2 years ago

A realtor collects the data set given in DS 12.2.4 concerning the sizes of a random selection of newly constructed houses in a c

Yuliya22 [10]

The table is missing in the question. The table is attached below.

Solution :

Let X = appraised value

Y = area (square feet)

The regression line is given by :

$\hat y = b_0+b_1X$

$b_1=\frac{n\sum XY-\sum X \sum Y}{n \sum X^2-(\sum X)^2}$

$=\frac{15(5964990)-(2157)(33370)}{15(404799)-(2157)^2}$

$=12.3267$

$b_0=\frac{\sum Y}{n}-b_1\frac{\sum X}{n}$

$=\frac{33370}{15}-\left(12.3267 \times \frac{2157}{15}\right)$

$b_0=452.0841$

The regression line is :

$\hat Y = 452.0841+12.3267 X$

To estimate the error variance, we have:

Error variance, $\sigma =\sqrt{\frac{\sum (Y-\hat Y)^2}n-2{}}$

$=\sqrt{\frac{587682.3}{15-2}}$

$=212.6178$

8 0

2 years ago

Determine how long it will take for $4000 to quadruple in a bank account earning 3.57% interest compounded continuously. Round t

tankabanditka [31]

Answer:

12 months, so 1 year

Step-by-step explanation:

5 0

2 years ago

What are expressions equal to 16a+40

Liula [17]

8a+8a+40
It is equivalent

8 0

2 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

2 years ago