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3 years ago

-False29) A rectangle can be a square.True(6р apo

Mathematics

1 answer:

AveGali [126]3 years ago

4 0

False because a rectangle has 4 sides and a triangle had three sides so it will be false

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A simple random sample of size nequals=8181 is obtained from a population with mu equals 77μ=77 and sigma equals 27σ=27. (a) De

ivanzaharov [21]

Answer:

a) $P(\bar X>81.5)=1-0.933=0.067$

b) $P(\bar X$

c) $P(73.4$

Step-by-step explanation:

1) 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".

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

$X \sim N(\mu=77,\sigma=27)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

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

On this case $\bar X \sim N(77,\frac{27}{\sqrt{81}})$

Part a

We want this probability:

$P(\bar X>81.5)=1-P(\bar X$

The best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X >81.5)=1-P(Z$

$P(\bar X>81.5)=1-0.933=0.067$

Part b

We want this probability:

$P(\bar X\leq 69.5)$

If we apply the formula for the z score to our probability we got this:

$P(\bar X \leq 69.5)=P(Z\leq \frac{69.5-77}{\frac{27}{\sqrt{81}}})=P(Z$

$P(\bar X\leq 69.5)=0.0062$

Part c

We are interested on this probability

$P(73.4$

If we apply the Z score formula to our probability we got this:

$P(73.4$

$=P(\frac{73.4-77}{\frac{27}{\sqrt{81}}}$

And we can find this probability on this way:

$P(-1.2$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.2$

3 0

4 years ago

A loan of$8000 was repaid in 24 equal monthly installments of $400 . The rate of interest on the loan was

Lesechka [4]

Answer:

Step-by-step explanation:

24(400) = 9600 = total amt paid

9600 - 8000 = 1600 = amt of interest paid

I = PRT T = 2 yr

1600 = 8000(2)R

1600 = 16000R

1600/16000 = 1/10 = .01 = 1%

8 0

3 years ago

the lowest point in the united states is located in death valley and is 282 below sea level. the highest point in the united sta

Setler79 [48]

In a number line which goes from north to south, the upper portion has positive numbers and the lower portion has negative numbers.
so the elevation at Mt. McKinley will be written as +20,236
and at death valley it will be -282

4 0

3 years ago

Read 2 more answers

A three-dimensional representation of an object or structure having all parts in the same proportion of their true size is calle

Rasek [7]

Answer:

Is called an Isometric projection

5 0

2 years ago

In circle "R" below, determine the length of arc AB if BR = 5 units.

riadik2000 [5.3K]