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Sladkaya [172]
2 years ago
5

The hypotenuse of a right triangle measures 13cm and one of its legs

Mathematics
1 answer:
hoa [83]2 years ago
8 0

Answer:

6.9

Step-by-step explanation:

Use the Pythagorean theorem :

a^2 + b^2 = c^2

so,

11^2 + b^2 = 13^2

121 + b^2 = 169

b^2= 48

b = 6.928

Round to the tenth : 6.9

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The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c
ivanzaharov [21]

Answer:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma= 500 represent the population standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The confidence2 level is 98% or 0.98 then the significance level would be \alpha=1-0.98=0.02 and \alpha/2=0.01, the critical value for this case would be z_{\alpha/2}=2.326, replacing into formula (b) we got:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

8 0
3 years ago
Really Need Help ! ASAP
SCORPION-xisa [38]

Answer:

hope the above solution will help you

5 0
3 years ago
An object is thrown upward from the top of 80 ft tower.The height h of the object after t seconds is represented by the quadrati
Sedaia [141]

Answer:The object will hit the ground after 5 seconds


Step-by-step explanation:

Given height of tower =80 ft

h=-16t^{2}+64t+80

When the object will hit the ground its height=0

0=-16t^{2}+64t+80

Multiplying both sides by -1

16t²-64t-80=0

Dividing by 16 both sides

t²-4t-5=0

(t-5)(t+1)=0

t=5 or -1

So t=5 since time cannot be negative

The object will fall after 5 seconds



6 0
2 years ago
Read 2 more answers
5 5/9 - 2 4/9?? Help!
joja [24]

Answer:

The answer would be 3 1/9

Step-by-step explanation:

5-2= 3 5/9-4/9 = 1/9

4 0
3 years ago
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X % of $5 = $4<br><br> Please help
ASHA 777 [7]
Answer: 80%

Explanation 4/5=.8
4 0
3 years ago
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