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andreev551 [17]
3 years ago
9

Sketching a Hyperbola In Exercises 19-32, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola.

Then sketch the hyperbola using the asymptotes as an aid.
25. \frac{(x-1)^{2}}{4}-\frac{(y+2)^{2}}{1}=1
Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Step-by-step explanation:

her this is the answer for the question

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Aiden got a loan for $600 that has a 5% simple interest for<br> 2 years.
podryga [215]

Answer:

The simple interest is $60 for 2 years

Step-by-step explanation:

1. 600*0.05=30

2. 30*2=60

6 0
3 years ago
Explain how to use a pattern to find 35.6 divided by 10 to the power of 2
posledela
As we know, sometimes questions such as these that include the powers and patterns can be a little confusing. I'll walk you through the process of finding this answer.

Firstly, we both know that 10 to the power of 2 simply means this :

10 * 10 = 100

Now, considering we already know what 10 to the power of 2 is, it makes the rest of the question a lot easier. All we have to do is divide 35.6 by the numbers we got.

35.6 / (10 * 10) = 0.356

There you have it, the answer is 0.356. If you need further assistance or you don't understand something, don't hesitate to ask me! I'm always open to people commenting on my profile or even sending me a private message. :)

- Sofie
4 0
3 years ago
To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government dat
denis-greek [22]

Answer:

a) The standard deviation of x must be 0.25 inches.

b) We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

Step-by-step explanation:

The 68-95-99.7 states that:

68% percent of the measures of a normally distributed sample are within 1 standard deviation of the mean.

95% percent of the measures of a normally distributed sample are within 2 standard deviations of the mean.

99.7% percent of the measures of a normally distributed sample are within 3 standard deviations of the mean.

The standard deviation of the population is 2.8. This means that \sigma = 2.8.

(a) What standard deviation must x⎯⎯⎯ have so that 95% of all samples give an x⎯⎯⎯ within one-half inch of μ?

We want to have a sample in which 2 standard deviations are within 0.5 inches of the mean.

So, the standard deviation of the sample must be:

2s = 0.5

s = 0.25

The standard deviation of x must be 0.25 inches.

(b) How large an SRS do you need to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a)?

We have that the standard deviation of a sample of length n is given by the following formula:

s = \frac{\sigma}{\sqrt{n}}.

We want s = 0.25 and we have \sigma = 2.8. So

0.25 = \frac{2.8}{\sqrt{n}}

0.25\sqrt{n} = 2.8

\sqrt{n} = 11.2

\sqrt{n}^{2} = (11.2)^{2}

n = 125.44

We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

8 0
4 years ago
I NEED HELPPPP<br> 2( 2.5 - | -6|) need the answer ASAPPPPP
Sloan [31]

The equivalent value of the expression is -7

<h3>Modulus of a function</h3>

The modulus of an expression of value is equal to the positive of such function or value.

Given the expression

2(2.5 - |-6|)

Since the value of -6 is a modulus, the expression will become;

2(2.5 - |-6|) = 2(2.5) - 2(6)

2(2.5 - |-6|) = 5 - 12

2(2.5 - |-6|) = -7

Hence the equivalent value of the expression is -7

Learn more on equation here: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
Read the proposition and the implication shown below. "If the lights are off, there is no one inside." Which statement is a cont
charle [14.2K]
The contrapositive switches the hypothesis and the conclusion and negates both in this form:
Statement: If A, then B
Contrapositive: If not B, then not A. 

In this case, the statement is: 
<span> "If the lights are off, there is no one inside."
Contrapositive:
If there is someone inside, the lights are on. </span>
4 0
3 years ago
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