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3 years ago

Is -2.22 a rational or real or integers

Mathematics

2 answers:

Sholpan [36]3 years ago

8 0

Answer:

Integers and rational are the same thing. -2.22 is integer/rational.

It is NOT a real number because a real number is a value of a continuous quantity that can represent a distance along a line and that has nothing to do with -2.22.

mezya [45]3 years ago

3 0

All because -2.22 is a real number, it’s a rational number because it can stop and a integer because it’s negative

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Find the standard form of the equation of the hyperbola satisfying the given conditions: X intercept +/- 6; foci at (-10,0) and

uysha [10]

Answer:

$\frac{x^{2}}{36} - \frac{y^{2}}{64}=1$

Step-by-step explanation:

Given an hyperbola with the following conditions:

Foci at (-10,0) and (10,0)
x-intercept +/- 6;

The following holds:

The center is midway between the foci, so the center must be at (h, k) = (0, 0).

The foci are 10 units to either side of the center, so c = 10 and $c^2 = 100$
The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.

Since the intercepts are 6 units to either side of the center, then a = 6 and $a^2 = 36.$

$Then, a^2+b^2=c^2\\b^2=100-36=64$

Therefore, substituting $a^2 = 36.$ and $b^2=64$ into the standard form

$\frac{x^{2}}{a^2} - \frac{y^{2}}{b^2}=1\\We \: have:\\ \dfrac{x^{2}}{36} - \dfrac{y^{2}}{64}=1$

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3 years ago

HELPPPP HOMEWORKKK 15 Points

Arlecino [84]

Answer:

x=12

Step-by-step explanation:

First, you know a triangle is equal to 180. Since you know the sum of the other two angles equal the outside angle, you can make them equal to each other, like 112=6x+3x+4. Combine like terms to 112=9x+4. Subtract 4 on both sides and divide by 9 on both sides to leave x by itself. This will leave you with x=12

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2 years ago

Does this table represent a function? Why or why not? <br><br> Pick A,B,C or D

stepladder [879]

The answer would be D.

In order for a table to represent a function, each x-value needs to pair with exactly one y-value and no more.

In the table shown here, none of the x-values repeat and all of them pair with a unique y-value which means that it’s a function.

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3 years ago

A flagpole casts a 20-foot shadow at the

storchak [24]

Answer:

20-foot shadow

Step-by-step explanation:

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1 year ago

A population of values has a normal distribution with μ = 157.7 and σ = 57 . You intend to draw a random sample of size n = 24 .

alexgriva [62]

Answer:

$z=1.64$

And if we solve for a we got

$a=157.7 +1.64*57=251.18$

So the value of height that separates the bottom 95% of data from the top 5% is 251.18.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(157.7,57)$

Where $\mu=157.7$ and $\sigma=57$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.05$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.64$

And if we solve for a we got

$a=157.7 +1.64*57=251.18$

So the value of height that separates the bottom 95% of data from the top 5% is 251.18.

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3 years ago