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3 years ago

Find the center, vertices, and foci of the ellipse with equation 2x2 + 7y2 = 14.

Mathematics

2 answers:

Harman [31]3 years ago

4 0

Answer:

Center: (0, 0); Vertices: (-√ 7,0),(√ 7,0) Foci: (-√ 5,0),(√ 5,0)

Step-by-step explanation:

Center is at (0,0) because you can see it when graphed. Same with everything else.

Molodets [167]3 years ago

3 0

Answer:

Vertex 1 : ( √ 7 , 0 ) Vertex 2 : ( − √ 7 , 0 )

Foci: Ordered pair negative square root 5 comma 0 and ordered pair square root 5 comma 0

center:(0,0)

Step-by-step explanation:

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Help I don’t get this one question

erastova [34]

The answer would be A. -18x^7

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3 years ago

Read 2 more answers

Find the probability for the given situations, and then match the situations with the number of times each event is predicted to

Ulleksa [173]

Answer:

(a)3

(b)4

(d)5

Step-by-step explanation:

(a)Josie rolls a six-sided die 18 times.

P(she rolls a two)=1/6

Therefore, the estimated number of times she rolls a two in 18 trials

=1/6 X 18

(b)Slips of paper are numbered 1 through 10.

P(the number 10 appear)=1/10

If one slip is drawn and replaced 40 times, expected number of 10

=1/10 X 40

(c)A spinner consists of 10 equal- sized spaces: 2 red, 3 black, and 5 white.

P(red)=2/10

If the spinner is spun 30 times, expected number of red space

=2/10 X 30

(d)A card is picked from a standard deck

P(drawing an ace)=4/52

If the card is picked 65 times and replaced each time.

Expected Number of Aces =4/52 X 65 =5

8 0

4 years ago

Fill in the blank by performing the indicated elementary row operation(s).

Scilla [17]

In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

$\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]$

The following operation is given:

$R_1 \rightarrow -6R_2 + R_1$

In which $R_1$ is the element at the first line and $R_2$ is the element at the second line.

Updating the first line:

$R_{1,1} = -6*1 + 6 = 0$

$R_{1,2} = -6*-5 - 1 = 30 - 1 = 29$

$R_{1,3} = -6*0 + 5 = 5$

Thus, the filled matrix will be given by:

$\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]$

For another example where row operations are applied on a matrix, you can check brainly.com/question/18546657

6 0

3 years ago

What is -6 3/4 and 27/5 and -5 5/8 as a decimal? Please help

7nadin3 [17]

The answer is, in order, -4.5, and -4.375

8 0

3 years ago

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6

Natali [406]

Answer:

She must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.

Step-by-step explanation:

We are given that an engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6 mm.

And she considers to be 90% sure of knowing the mean will be within ±0.1 mm.

As we know that the margin of error is given by the following formula;

The margin of error = $Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }$

Here, $\sigma$ = standard deviation = 3.6 mm

n = sample size of components

$\alpha$ = level of significance = 1 - 0.90 = 0.10 or 10%

$\frac{\alpha}{2} = \frac{0.10}{2}$ = 0.05 or 5%

Now, the critical value of z at a 5% level of significance in the z table is given to us as 1.645.

So, the margin of error = $Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }$

0.1 mm = $1.645 \times \frac{3.6}{\sqrt{n} }$

$\sqrt{n} = \frac{3.6\times 1.645}{0.1 }$

$\sqrt{n}$ = 59.22

n = $59.22^{2}$ = 3507.0084 ≈ 3507.

Hence, she must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.

8 0

4 years ago