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otez555 [7]
3 years ago
8

For a given triangle it is known that cos A =-0.5, where 0° Based on the information given above, the value of angle(s) A i

n standard position
could be
A)60°
B)120°
C)210°
D)300°
Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Answer:

120

Step-by-step explanation:

Here, we want to get the possible value of A

Now, we should understand that the value of an angle in triangle cannot be more than 180

Also, cosine can only be negative in the second and the 3rd quadrant

So,

arc cos (-0.5) = 120 , 300 , 60

But 60 is not correct as it will give a negative value

300 is not correct also as it is more than the angles present in a triangle

Thus, our answer is 120

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Please help I need 1, 2, 5, and 6!
BlackZzzverrR [31]

Step-by-step explanation:

1. 21√n/2

2. 2/3 3√x

(3) - 5/2b 7/2

4. (10m) 6/5

8 0
3 years ago
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w
jok3333 [9.3K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The sales level that is the cut-off between quarters that are considers as "failure" and those that are not is evaluated as

          y = 6.3 \ million \ dollars

Step-by-step explanation:

   From the question we are told that the

            Mean is \mu = 8 \ million \ dollars

           Standard deviation is \sigma = 1.3 \ million \ dollars

 Let Y be the random variable that denotes the sales made quarterly among health care information system

    The normal distribution for this data is mathematically represented as

                            Y ~ N (\mu = 8 , \sigma^2 = 1.69)

  From the question we are told that a quarter is consider a failure by the company if the sales level that quarter in the bottom 10% of the of all quarterly sales

            So

 The the Probability of obtaining quarterly sales level that is equal to  10% of all quarterly sale (It is not below 10%) is mathematically represented as

                    P[Y < y ] = 0.10

 This can be represented as a normal distribution in this manner

                  P [ \frac{Y- \mu}{\sigma }  < \frac{y -\mu}{\sigma} ] = 0.10

         Where  \frac{Y - \mu }{\sigma }  = Z ~ N(0 , 1)      

{This mean that this equal to the normal distribution between 0, 1  which is the generally range of every probability }

Therefor we have

                   P[Z < \frac{y- 8}{1.3} ]

The cumulative distribution function for a normal distribution of y  is mathematically  represented as

                \phi [\frac{y- 8}{1.3} ] = 0.10

This is because a cumulative distribution function of a random value Y or a distribution of Y evaluated at y is the probability that Y will take will take a value that is less or equal to y

                 \frac{y- 8}{1.3} = \phi ^{-1}(0.10)

Calculating the inverse of the cumulative distribution function value of 0.10 which is negative the  the critical value(Critical values determine what probability a particular variable will have when a sampling distribution is normal or close to normal.) of 0.01

                    \phi ^{-1}(0.10) =- [1 - \frac{0.10}{2}]

                                    =  - 1.28155

                 \frac{y - 8}{1.3}  = - 1.2816

                => y = 8 - (1.2816)(1.3)

                      y = 6.3 \ million \ dollars

                 

     

5 0
3 years ago
The table shows pattern p and patterns q complete the table
mario62 [17]

ANSWER

P=8,Q=16

EXPLANATION

We can see from the table that both pattern P and Q have an initial value of 24.

Pattern P is reducing by a constant difference of 4.

The next value for pattern P is

12-4=8.

Also pattern Q is reducing by a constant value of 2.

The next value for pattern Q is,

18-2=16

5 0
3 years ago
Read 2 more answers
The town halls of Havertville and Northtown are shown on the map.
MrRissso [65]

Answer:

The distance between the two town halls is 6 units

Step-by-step explanation:

7 0
3 years ago
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spin [16.1K]

Answer: B= 8.8

Step-by-step explanation:

B/2 = 4.4

B/2 (2) = 4.4 (2)

B = 8.8

8 0
3 years ago
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