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Zarrin [17]
3 years ago
13

Ashton has 2/3 of an hour to complete her essay. If it takes her 1/9 of an hour to write a paragraph, how many paragraphs can As

hton complete in the time she has left?​
Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:

6 paragraphs

Step-by-step explanation:

2/3 = 6/9

6/9 ÷ 1/9 = 6

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An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cu
Sholpan [36]

Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

<h3>What are the hypothesis?</h3>
  • At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_0: p \leq 0.5

  • At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_1: p > 0.5

<h3>Test statistic</h3>

The <em>test statistic</em> is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5

The value of the <em>test statistic</em> is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}

z = 3.75

Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is z^{\ast} = 1.645.

Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

To learn more about the z-distribution, you can take a look at brainly.com/question/16313918

3 0
2 years ago
23. The nth term of a sequence is n2 + 3. Find the first 3 terms of this sequence.
Setler79 [48]
23.
assuming you meann^2+3

first term is n=1, so 1²+3=1+3=4
2nd is n=2 so 2²+3=4+3=7
3rd is n=3 so 3²+3=9+3=12

the first 3 terms are 4,7,12


24.
5th term is 5²+3=25+3=28
10th term is 10²+3=100+3=103

difference is 103-28=75
7 0
3 years ago
One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.
Dimas [21]

Answer:

The ratio of the amount for swordfish to the amount of salmon is 6:4

Step-by-step explanation:

Given as :

The price for 1 pound of swordfish = The price of 1.5 pound of salmon

So, On this relation

The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 )  pound of salmon

i.e The price for 2 pound of swordfish = The price of 3 pound of salmon

Now According to question

Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39

Let the money she pay for swordfish = 2 sw

And The money she pay for salmon = 3 sa

∵, The total money she pay for both  = $ 39

I.e  2 sw + 3 sa = 39

As 2 sw = 3 sa

So, 3 sa + 3 sa = 39

Or, 6 sa = 39

or, sa = \frac{39}{6} = \frac{13}{2}

∴ sw = \frac{13}{2} × \frac{3}{2}

or, sw = \frac{39}{4}

Now, the ratio of the amount for swordfish to the amount of salmon = \frac{\frac{39}{4}}{\frac{13}{2}}

I.e The ratio = \frac{6}{4}

Hence The ratio of the amount for swordfish to the amount of salmon is 6:4

Answer

3 0
3 years ago
Subtract 7x+3y-5z from 8x-3y+5z​
spayn [35]

Answer:

x - 6y + 10z

Step-by-step explanation:

7x + 3y - 5z - (8x - 3y + 5z)

= 7x + 3y - 5z - 8x + 3y - 5z

= 7x - 8x + 3y + 3y - 5z - 5z

= - x + 6y - 10z

OR

= -(- x + 6y - 10z)

= x - 6y + 10z

5 0
3 years ago
What is the perimeter of trapezoid ABCD?
vitfil [10]
I think B but don't take my word!!!
3 0
3 years ago
Read 2 more answers
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