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valentina_108 [34]
3 years ago
10

X) sec’A + cosec?AsecA. cosecA​

Mathematics
1 answer:
VikaD [51]3 years ago
3 0

Answer:

(Sin A + Cos A)/Sin A. Cos A

Step-by-step explanation:

As we know

Sec A = 1/Cos A

and Cosec A = 1/Sin A

Given Equation

Sec A + Cosec A

Substituting the given values, we get -

1/cos A + 1/Sin A

(Sin A + Cos A)/Sin A. Cos A

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Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. To get the b
ale4655 [162]

Answer:

$122.1

Step-by-step explanation:

We are given the following data in the question

$124, ​$256 ​, $118, ​$441, ​$122, ​$335, ​$340, ​$191

Step 1

Find the mean

Mean = Sum of Terms / Number of Terms

Number of Terms = 8

Mean = ($124 + $256 ​+ $118 + ​$441 + $122 + ​$335 + ​$340 + ​$191 )/ 8

Mean = $1927/8

= $240.875

Approximately to 1 decimal place

$240.9

Step 2

Standard deviation formula

S = √( x - μ)²/ N - 1),

N = Number of terms

μ = Mean

S = √[($124 - $240.9)² + ($256 - $240.9)² + ($118 - $240.9)² + (​$441 - $240.9)² + ($122 - $240.9)² + ​($335 - $240.9)² + ​($340 - $240.9)²+ ​($191 -$240.9)²/ 8 - 1]

S = $122.0895

Approximately to 1 decimal place

S = $122.1

Therefore, the standard deviation for the given data is $122.1

7 0
4 years ago
Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on th
mariarad [96]

Answer:

Carmen's prediction is low because 200 times \frac{1}{4} is 50.

Step-by-step explanation:

First of all we are going to define the sample space for this exercise.

The sample space is Ω = {1,2,3,4,5,6,7,8}

Given the event A : ''Roll an 8-sided die an get a multiple of 4''

The probability for the event A is P(A)=\frac{2}{8}=\frac{1}{4}

Because they are two numbers (4 and 8) over a total of eight numbers (1,2,3,4,5,6,7,8) that are multiple of 4.

Now, given the random variable X : ''Total of numbers multiples of 4 If she rolls

an 8-sided die 200 times''

X can be modeled as a Binomial random variable.

X ~ Bi (n,p)

X ~ Bi (200,\frac{1}{4})

In which n is the total times she rolls the 8-sided die and p is the success probability.We define a success as obtain a number multiple of 4.

The mean for this variable is

E(X)=np=200.\frac{1}{4}=50

We answer that Carmen's prediction is low because 200 times \frac{1}{4} is 50.

8 0
3 years ago
Read 2 more answers
Find the equation of the circle that has a diameter with endpoints (7,3) and (7,-5)
muminat

Answer:

(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16

Step-by-step explanation:

1) coordinates of the center

x0=(x1+x2)/2=(7+7)/2=7

y0=(y1+y1)/2=(3-5)/2 = -1

(7, -1) - coordinates of the center

2) radius of the circle

length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8

r = length of the radius = length of the diameter / 2 = 8/2 = 4

3) the equation of the circle

(x-x0)² + (y-y0)²= r²

(x-7)² + (y+1)² = 4²=16

3 0
4 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Vanyuwa [196]
The radical expression is D

3 0
3 years ago
Read 2 more answers
26=8+v into z real world scenario
zheka24 [161]

Answer:

v=18

Step-by-step explanation:

26=8+v

<em>Swap sides:</em>

8+v=26

<em>Subtract 8 from both sides:</em>

8+v-8=26-8

<em>Group like terms:</em>

v+8-8=26-8

<em>Simplify the arithmetic:</em>

v=26-8

v=18

3 0
2 years ago
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