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iren2701 [21]
2 years ago
5

Help. i don’t understand. i need to graph this. graph the inequality

Mathematics
1 answer:
Harman [31]2 years ago
8 0
I really hope this helps.

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Unit 3 Exam
ohaa [14]

Answer:

b=√119

Step-by-step explanation:

a2+b2=c2

(5×5)+(b2) =(12×12)

25+b2=144

b2=144-25

b2= 119

b=√119

5 0
3 years ago
Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m
konstantin123 [22]

Answer:

The required probability is 0.6517

Step-by-step explanation:

Consider the provided information.

North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.

μ₁ = 130 and σ₁ = 8

Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

μ₂ = 120 and σ₂ = 10

As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be \sqrt{\sigma_1^2+\sigma_2^2}

Therefore,

μ = 130-120=10

\sigma = \sqrt{8^2+10^2}=12.806

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:

z=\frac{\bar x-\mu}{\sigma}

z=\frac{5-10}{12.806}\approx-0.39

Now by using the z table we find the z- score of -0.39 is 0.6517.

Hence, the required probability is 0.6517

6 0
3 years ago
A submarine starts at the surface of the Pacific Ocean and descends 60 feet
Svet_ta [14]

Answer:

360 feet

Step-by-step explanation:

We need to multiply the number of hours, 6, with 60 feet: 6*60 = 360 feet The submarines depth after 6 hours will be 360 feet.

4 0
2 years ago
One number is 4 times as large another. The sum of their reciprocals is 45/4. Find the two numbers
Reptile [31]
Let, 
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

\frac{1}{x} + \frac{1}{y}= \frac{45}{4}...................................equation (2)

Taking equation (2)
\frac{1}{x} + \frac{1}{y}= \frac{45}{4}

Substituting the value of "x" from equation (1), we get,

\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}

\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}

\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}

\frac{1+4}{4y} = \frac{45}{4}

\frac{5}{4y} = \frac{45}{4}

Cross multiplying, we get,

5*4 = 45*4y

20 = 180y
<u />
\frac{20}{180}  = y

\frac{1}{9}  = y

y =  \frac{1}{9}

Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

x = 4( \frac{1}{9} )

x= \frac{4}{9}

So, the numbers are \frac{1}{9} and \frac{4}{9}

7 0
3 years ago
Read 2 more answers
Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.
Juliette [100K]

Answer:

The correct answer is 20%

Hope this helped! :)


^-^


5 0
3 years ago
Read 2 more answers
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