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3 years ago

Please answer this correctly without making mistakes my work is due today

Mathematics

1 answer:

Misha Larkins [42]3 years ago

8 0

Answer:

24.24

Step-by-step explanation:

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

One senior from the high schools will be selected at random. What is the probability that the senior selected will not be from h

DochEvi [55]

Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

<h3>What is a probability? </h3>

A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching the problem on the internet, it is found that:

538 seniors responded with a choice other than college.

Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.

Hence:

$p = \frac{396}{538} = 0.7361$

0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

You can learn more about the probability concept at brainly.com/question/26148436

8 0

2 years ago

What is the slope of the line that passes through the points A(0, 1) and B(2, 7)?

Alenkinab [10]

Answer:

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

7-1/2-0

6/2

Best of Luck!

4 0

3 years ago

This question relates to concepts covered in Lectures 1 & 2. You can use any of the excel files posted to work through the q

liubo4ka [24]

Answer:

mean of this demand distribution = 100

Step-by-step explanation:

To find the mean of this demand distribution;

Mean = Expected vale = E[x]

for discrete provability function,

we say E[x] = ∑(x.p(x))

x p(x) x.p(x)

10 0.1 1

30 0.4 12

60 0.4 24

90 0.7 63

∴ ∑(x.p(x)) = ( 1 + 12 + 24 + 63 )

∑(x.p(x)) = 100

7 0

3 years ago

70 days=?Weeks <br> Hey guess if u help me I will help u thx

hjlf

The answer is 10 weeks

6 0

3 years ago

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