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s344n2d4d5 [400]

3 years ago

7

claim: the mean pulse rate (in beats per minute) of adult males is equal to 6969 bpm. for a random sample of 125125 adult ma

les, the mean pulse rate is 69.269.2 bpm and the standard deviation is 10.910.9 bpm. find the value of the test statistic. the value of the test statistic is nothing. (round to two decimal places as needed.)

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

t=0.21

Step-by-step explanation:

Given $\bar x=69.2, s=10.9, n=125$ and a population mean $\mu=69$ .

#We state our hypothesis as:

$H_o:\mu=69\\\\H_a:\mu\neq 69$

The evidence available should validate either the null or alternative hypothesis.

#We calculate the test statistic as:

$t=\frac{\bar x-\mu_}{s/\sqrt{n}}\\\\\\=\frac{69.2-69}{10.9/\sqrt{125}}\\\\\\=0.2051$

$\approx0.21$

Hence, the test statistic is t=0.21

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

Which of the following is the correct classification of ∆mnp if m<m=35° and m<p=47°?

AnnZ [28]

Answer:

D. Obtuse.

Step-by-step explanation:

We are told that in $\Delta MNP$ $m\angle M=35^o$ and $m\angle P=47^o$ . We are asked to classify our given $\Delta MNP$ .

We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.

Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.

So we can set an equation as:

$m\angle M+m\angle P+m\angle N=180^o$

Upon substituting our given values we will get,

$35^o+47^o+m\angle N=180^o$

$82^o+m\angle N=180^o$

$82^o-82^o+m\angle N=180^o-82^o$

$m\angle N=98^o$

As measure of angle N is 98 degrees, so angle N is an obtuse angle.

Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, $\Delta MNP$ is an obtuse triangle and option D is the correct choice.

4 0

3 years ago

Read 2 more answers

32 markup 12.5% retail price

Leya [2.2K]

Answer: 36 is the correct answer.

12.5% = .125

32 x .125 = 4

32 + 4 = 36

Step-by-step explanation: I hope this helped you out.

6 0

3 years ago

Suppose you roll a special 31-sided die. What is the probability that one of the following numbers is rolled?

madreJ [45]

Answer:

34.78 is the answer to ur question

4 0

2 years ago

6 ) hey pls help me with his I have the answers all I need is to show the work

morpeh [17]

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

5 0

3 years ago