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Illusion [34]
3 years ago
12

The area, a, of an ellipse can be determined using the formula a=TTxy where x and y are half the lengths of the largest and smal

lest diameters of the ellipse. Which is an equivalent equation solved for y
Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0
a=\pi xy

To solve for y, divide both sides by \pi x:

y=\frac{a}{\pi x}

erastovalidia [21]3 years ago
4 0

Answer:

Area of an ellipse(a), ,having x and y being the  lengths of the largest and smallest diameters of the ellipse = π xy

  The  lengths of the largest and smallest diameters of the ellipse is called Major Axis and Minor axis of the ellipse.

  \rightarrow a=\pi x y\\\\\rightarrow y=\frac{a}{\pi \times x}

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An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than
Sauron [17]

The test statistic for the hypothesis would be 1.413.

Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.

The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.

Hypothesis:

Null hypothesis:H₀:μ=13

Alternative hypothesis:Hₐ:μ>13

Here, μ be the mean weight loss of all participants.

n=30,

Degree of freedom n-1=30-1=29

\bar{x}=13.8 and s=3.1

To test the null hypothesis H₀, the value of test static would be calculated as follows:

\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.

Learn more about hypothesis from here brainly.com/question/14783359

#SPJ4

6 0
2 years ago
the vertices of ABC are points A(1,1), B(4,1), and C(4,5). find the cosines of the angles of the triangle.
pickupchik [31]

Answer:

  • cos(A) = 3/5
  • cos(B) = 0
  • cos(C) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.

  Cos = Adjacent/Hypotenuse

__

<h3>Angle A</h3>

In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...

  cos(A) = AB/AC

  cos(A) = 3/5

__

<h3>Angle B</h3>

The right angle in the triangle is angle B. The cosine of a right angle is 0.

  cos(B) = 0

__

<h3>Angle C</h3>

The side adjacent to angle C is CB, so its cosine is ...

  cos(C) = CB/AC

  cos(C) = 4/5

7 0
2 years ago
Read 2 more answers
Jack was 8 years older than pricillla. Together their ages totaled 166. what are their ages
mylen [45]
The answer is 58 I think 166-8= 158
4 0
3 years ago
Read 2 more answers
I need help is due today!!!:Cool tees is having a back to school sale where all t-shirts are discounted by 15%. Joshua wants to
Softa [21]

Answer:

$64.5745

Step-by-step explanation:

You had to do this:

9.99+11.99+11.99+21.00+21.00=75.97

 x     =     85

75.97      100        85*75.97=6457.45

100x=6457.45

6457.45/100= 64.5745

8 0
3 years ago
A father's age is 4 times as that of his son's age. in 5 years time, the father will be 3 times as old as his son. what are thei
Vadim26 [7]

Answer:

<h3>present age of son = 10 </h3><h3>present age of father = 40</h3>

Step-by-step explanation:

Let, present age of son be 'x'

present age of father be 'y'

y = 4x→ equation ( i )

After five years,

Son's age = x + 5

father's age = y + 5

According to Question,

y + 5 = 3(x + 5)

Put the value of y from equation ( i )

4x + 5 = 3(x + 5)

Distribute 3 through the parentheses

4x + 5 = 3x + 15

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S. and change its sign

4x - 3x = 15 - 5

Collect like terms

x = 15 - 5

Calculate the difference

x = 10

Now, put the value of X in equation ( i ) in order to find the present age of father

y = 4x

plug the value of X

= 4 \times 10

Calculate the product

= 40

Therefore,

Present age of son = 10

present age of father = 40

Hope this helps..

Best regards!!

8 0
3 years ago
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