<img src="https://tex.z-dn.net/?f=%20%7C2v%7C%20%20%3D%2012" id="TexFormula1" title=" |2v| = 12" alt=" |2v| = 12" align="absmi

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SIZIF [17.4K]

3 years ago

ddle" class="latex-formula">

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

8 0

Answer:

v=6

Step-by-step explanation:

2v is positive so keep it

then 2v=12

v=6

GrogVix [38]3 years ago

7 0

-12 - 2v = -12
_. _. _
-2. -2. -2

6 = v = 6

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Find an equation for the ellipse that satisfies the given conditions.

svetoff [14.1K]

Answer: (x^2)/25 + (16y^2)/375) = 1

Step-by-step explanation:

since foci are symetrically located on x-axis about origin, the equation of the ellipse must be of the following form:

(x^2)/(a^2) + (y^2)/(b^2) = 1, where a = semi-major axis, and b = semi-minor axis,

and: e = eccentricity = sqrt(a^2 - b^2)/a = 0.25; foci located at (+/- sqrt(a^2 - b^2),0) = (+/- 1.25,0)

---> sqrt(a^2 - b^2) = 1.25 ---> 1.25/a = 0.25 ---> a = 1.25/0.25 ---> a = 5; and sqrt(a^2 - b^2) = 1.25 = 5/4

---> a^2 - b^2 = (5/4)^2 = 25/16; or 5^2 - b^2 = 25/16 ---> 25 - b^2 = 25/16;

---> b^2 = 25 - (25/16) = 25[1 - 1/16] = 25(15)/16 = 375/16

---> (x^2)/25 + (y^2)/(375/16) = 1 ---> (x^2)/25 + (16y^2)/375) = 1

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4 0

3 years ago

Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval

tatyana61 [14]

Answer:

E. 99.7%

Step-by-step explanation:

Calculate each z-score.

z = (x − μ) / σ

z = (173 − 128) / 15

z = 3

z = (x − μ) / σ

z = (83 − 128) / 15

z = -3

You can use a z-score table, or use the empirical rule.

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3 years ago

Point F is the midpoint of segment DE. DF = 2x+6 and DE = 2x+36. Find DE.

tensa zangetsu [6.8K]

Answer: It already tells you what DE= 60

Step-by-step explanation:

Since F is the midpoint of DE that means DF=FE

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When DF and FE is added your answer should equal DE

So you write the equation $4x+12=2x+36$ to find x and once x is found substitute your answer for x

$4x+12(-12)=2x+36(-12)$ subtract 12 on both sides 36-12= 24

$4x=2x+24$ subtract 2x on both sides 4x-2x=2x

$2x=24$ divide 2 into both sides 24/2=12 x=12

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3 years ago

Help!!!!!! algebra 1

Vinil7 [7]

Answer:

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Step-by-step explanation:

When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.

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3 years ago

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A company is developing a new high-performance wax for cross country ski racing. In order to justify the price marketing wants,

andrew11 [14]

Answer:

A)Yes they should market the wax, because it melts before 55 seconds

C) Null hypothesis: mean <55 vs. Alternative hypothesis :mean =55

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Step-by-step explanation:

The selected samples for the champion are : 57.9, 62.9, 50.6, 50.5,48.2,47.2,50.2 and 43.1

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Sum =57.9 + 62.9 + 50.6 + 50.5+48.2+47.2+50.2+ 43.1 =410.6

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Assuming Significant =0.05 thus applying this level will give you 51.28-51.38

if specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion, then the null hypothesis is correct

Then;

Null hypothesis: mean <55

Alternative hypothesis :mean =55

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3 years ago