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Harrizon [31]
2 years ago
10

If an angle of 11pi/30 radian is in standard position. What is the reference angle in radian?

Mathematics
1 answer:
bixtya [17]2 years ago
4 0

Answer:

\frac{11\pi}{30}

Step-by-step explanation:

The reference angle is an acute angle that angle in standard position makes with the positive x-axis.

The given angle in radians is

\frac{11\pi}{30}

This angle is already acute and hence it is itself a reference angle.

The reference angle of any angle in the first quadrant is the same angle.

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Using a proportion, what can you infer about the number of households in her town that have more than three children?
eduard

Answer:

About 296 households have more than three children.

Step-by-step explanation:

The complete question is:

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below. Children in 50 Households Number of Children Number of Households 0 5 1 11 2 13 3 10 4 9 5 2 Using a proportion, what can you infer about the number of households in her town that have more than three children? About 242 households have more than three children. About 269 households have more than three children. About 296 households have more than three children. About 565 households have more than three children.

Solution:

The data provided for the number of children and number of households is:

Number of Children (<em>X</em>)          Number of Households (<em>f</em> (X))

               0                                                   5

               1                                                    11

               2                                                   13

               3                                                   10

               4                                                    9

               5                                                    2

           TOTAL                                             50

Compute the probability of households having more than three children as follows:

P (More than 3 children) = P (4 children) + P (5 children)

                                        =\frac{9}{50}+\frac{2}{50}

                                        =\frac{11}{50}

                                        =0.22

Let the random variable <em>Y</em> be defined as the number of households having more than three children.

The probability of the random variable <em>Y </em>is, <em>p</em> = 0.22.

The entire population, i.e. total number of addresses in Carmen's town with numbers ranging from zero to five children, consists of <em>N</em> = 1,346 households.

Compute the expected number of households having more than three children as follows:

E(Y) =N\times p

         =1346\times 0.22\\=296.12\\\approx 296

Thus, about 296 households have more than three children.

4 0
2 years ago
Yea yea yea yea yea help please i have a zero in this class lol
noname [10]

Answer:

D. -3z+2

Step-by-step explanation:

Steps:

Remove parentheses: (a) = a

= 5z+9-(8z+7)

....

Simplify

5z+9-8z-7: -3z+2

3 0
3 years ago
Read 2 more answers
Expression Twins
Bezzdna [24]

Answer:

Step-by-step explanation:

5 0
2 years ago
A shipping crate contains 576 boxes of cereal. you open the top of the crate and you count 12 boxes across the front and 6 along
alisha [4.7K]
There are 8 layers in the crate!
Our volume is 576 units, or cereal boxes. 576 = 12 × 6 × UNKNOWN.
We can find our unknown number by dividing:
576 ÷ 12 ÷ 6 = 8 layers!
I hope this explained it! 
5 0
3 years ago
Read 2 more answers
Solve on the interval [0,2pi)<br> (sinx-1)(2sin^2 x-5sinx+2)
BabaBlast [244]
Sin x - 1 = 0
sin x = 1
x 1 = π / 2
2 sin² x + 5 sin x + 2 = 0
Substitution: u = sin x
2 u² - 5 u + 2 = 0
2 u² - 4 u - u + 2 = 0
2 u ( u - 2 ) - ( u - 2 ) = 0
( u - 2 ) ( 2 u - 1 ) = 0
( sin x - 2 ) ( 2 sin x - 1 ) = 0
sin x - 2 = 0
sin x = 2 ( does not have solution )
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 2 = π / 6 ,  x 3 = 5 π / 6
Answer:
x = π / 6 ,  π / 2  and 5 π / 6. 
6 0
3 years ago
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