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3 years ago

No row or column contains products with only odd numbers?

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Hi!!Could you please explain your question more?

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An equation of an ellipse is given. x2 16 + y2 25 = 1 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex (x, y

eimsori [14]

Answer:

(a)

The vertices are at (0,-5) and (0,5).
The coordinates of the foci are (0,-3) and (0,3).
Eccentricity=3/5

(b)Length of the major axis=10

Step-by-step explanation:

When the major axis of an ellipse is parallel to the y-axis.The standard form of the equation of an ellipse is given as:

$\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1$

Given the equation:

$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1$

(I)The coordinates of the vertices are $(0, \pm a)$

$a^2=25\\a^2=5^2\\a=5$

Therefore, the vertices are at (0,-5) and (0,5).

(II)The coordinates of the foci are $(0, \pm c)$ where c^2=a^2-b^2$

$c^2=a^2-b^2\\c^2=25-16\\c^2=9\\c=3$

The coordinates of the foci are (0,-3) and (0,3).

(III)Eccentricity

This is the ratio of the distance c between the center of the ellipse and each focus to the length of the semi major axis.

Simply put, Eccentricity =c/a

Eccentricity=3/5

(b)Length of the major axis

The length of the major axis=2a

=2(5)=10.

4 0

3 years ago

It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sampl

leva [86]

Answer:

$P(X=7)$

And using the probability mass function we got:

$P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271$

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.23)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find the following probability:

$P(X=7)$

And using the probability mass function we got:

$P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271$

5 0

3 years ago

The system of equations is inconsistent.

Artist 52 [7]

There are an infinite numbers of solutions. The only information given in the second equation is the y-intercept of y =5 where the second line crosses the y-axis. And there are an infinite number of lines crossing that point and also intersecting the first linear equation.

8 0

4 years ago

For Halloween, you go trick - or - treating in your neighborhood. You notice that a lot of people are giving out starbursts this

gavmur [86]

Answer13/20

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Now say you only have $1700 to invest and the highest interest rate you can find is 3.7% compounded annually. If you decide to w

Andreyy89

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+r\right)^{t}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1700\\
r=rate\to 3.7\%\to \frac{3.7}{100}\to &0.037\\
t=years\to &8
\end{cases}
\\\\\\
A=1700(1+0.037)^8$

7 0

4 years ago