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Jet001 [13]
3 years ago
15

Which set of polar coordinates describes the same location as the rectangular coordinates (4,-4)

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0
R=4
theta=pi/2

x= r cos(theta) = 4 cos(pi/2) = 4(0) = 0
y = r sin(theta) = 4 sin(pi/2) = 4(1) = 4

(0,4) is the answer.
SOVA2 [1]3 years ago
3 0

Answer:

(4 sqrt2, 315 degrees)

Step-by-step explanation:

apex

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4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a
borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

z-score = \frac{x-mean}{SD}

So,

For 85:

z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1

z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

z_2-z_1 = 0.9082-0.1587=0.7495

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

4 0
3 years ago
I need help with 1-10 Answer as many as you can please and Thank you !
Vaselesa [24]

1. one hour and 25 minutes

2. 1,007.993

3.Yes it can. How? Simple. Can a triangle tessellate. Yes Inference in to a 3-D shape the same exact result.

4. 9:00 AM

5. 20 x 3 = 60

6. 4 x 8 = 32

7. 20 - 13 = 7

this is all i know i hope this helps :0)

8 0
3 years ago
In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Answer the question and get Brainly, A sail for a boat is in the shape of a right Tiangle. The longest side is 20 ft. long. One
lana66690 [7]

Answer:

<h3>The answer is D.</h3>

Step-by-step explanation:

Explanation:

The rule of a triangle is that it the other two sides could not be longer than longest side of the triangle. If the two sides added up together is greater than the longest side, the triangle would no longer be connected. Since 8 + 12 ft still works for the longest side of the triangle, it will be considered the length of the third side.

3 0
2 years ago
Read 2 more answers
Which of the following are independent variables?
Lapatulllka [165]

Answer:

i think that it is oil

Step-by-step explanation:

because it does not change

4 0
3 years ago
Read 2 more answers
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