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densk [106]
3 years ago
13

A ride in a taxi cab costs $2.50 for the pick-up charge and $0.50 for every mile, m, after that. Which equation can be used to f

ind the cost, c, of a taxi cab rid?
Mathematics
1 answer:
Nata [24]3 years ago
8 0
The equation is 0.5m+2.50=c
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For a given angle θ, sin θ = 1. What is cos θ?
sergiy2304 [10]

Answer:

sin90 =1

cos 90 = 0

Step-by-step explanation:

θ = 90 degrees

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2 years ago
Select all angle measures for which cos0= 1/2
mrs_skeptik [129]

Answer:

cos -60° = \frac{1}{2} ,

cos 660° =  \frac{1}{2}

Step-by-step explanation:

hope it helps

6 0
2 years ago
The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

The critical value of \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
3 years ago
Graph: y-3=1/2 (x+2)
777dan777 [17]

Answer:

See below

Step-by-step explanation:

y-3=1/2(x+2) Indicates a graph with slope 1/2 that runs through the point (-2,3). I have graphed it below. Hope this helps!

6 0
2 years ago
Write the equation of the line fully simplified slope-intercept form. ​
Vladimir [108]
Y=-2/3x-5
i think is the answer
4 0
3 years ago
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