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Eduardwww [97]
3 years ago
12

What is the value of x in simplest radical form?

Mathematics
1 answer:
jeka943 years ago
8 0

Answer:

x = 97

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 65² + 72² = 4225 + 5184 = 9409 ( take the square root of both sides )

x = \sqrt{9409} = 97

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Fluoxetine, a generic anti-depressant, claims to have, on average, at least 20 milligrams of active ingredient. An independent l
san4es73 [151]

Answer:

t=\frac{18.7-20}{\frac{5}{\sqrt{80}}}=-2.326    

df=n-1=80-1=79  

p_v =P(t_{(79)}  

Step-by-step explanation:

Information given

\bar X=18.7 represent the sample mean for the content of active ingredient

s=5 represent the sample standard deviation for the sample  

n=80 sample size  

\mu_o =20 represent the value that we want to test

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

The statistic would be:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Now we can calculate the statistic:

t=\frac{18.7-20}{\frac{5}{\sqrt{80}}}=-2.326    

P value

The degrees of freedom are calculated like this:

df=n-1=80-1=79  

Since is a one left tailed test the p value would be:  

p_v =P(t_{(79)}  

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3 years ago
A ray is a defined term because it ?
Feliz [49]
A ray is a defined term because it has no width or depth is described using an undefined term has an informal definition travels forever in one way
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Evaluate the expression when y = 3 <br> B.) 12y
Archy [21]
12y = 12*3 = 36  ← answer
3 0
3 years ago
As – 16a,<br> as – 4a3,<br> 2a3 + 8a - 4a2 - 16
vfiekz [6]

Answer:

1) as-16a

taknig a as common

=a(s-16)

2)as-4a³

taking a as common

=a(s-4a²)

3)2a³+8a-4a²-16

taking common terms

=2a(a²+4)-4(a²+4)

=(2a-4)(a²+4)

again taking common

=2(a-2)(a²+4)

i hope this will help you :)

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3 years ago
A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?
polet [3.4K]

Answer:

46 miles per hour

Step-by-step explanation:

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So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

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