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dsp73
4 years ago
5

Explain why there must be two lines on any given plane.

Mathematics
1 answer:
777dan777 [17]4 years ago
8 0

Answer:

there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Step-by-step explanation:

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A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte
Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that \mu = 48, \sigma = 12

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 48}{12}

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

8 0
3 years ago
For what value of C will y = sin(x - C) be an even function?<br> a. 2π<br> b. π<br> c. π/2
telo118 [61]

Answer:

you are actually incorrect the answer is  2π

3 0
3 years ago
Read 2 more answers
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

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

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

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

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

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
50 points for answering!!!!!! <br> Write the standard equation of each circle
MaRussiya [10]
(x – h)^2<span> + (y – k)^</span>2<span> = r^</span><span>2</span>
7 0
4 years ago
Read 2 more answers
Two shirt screening companies charge a set up fee and a charge for each shirt made.
lara31 [8.8K]

Answer:

The correct option is;

Shirt Express charges less per shirt. For the cost to be the same 74 shirts must be ordered

Step-by-step explanation:

1) The given table for Shirt Express can be used to find the equation of the total cost of each made by Shirt Express as follows;

The rate of change of the function m is given as follows;

m = \dfrac{y_2 - y_1 }{x_2 - x_1}

Therefore, we have;

m = (438 - 353)/(50 - 40) = 8.5

Te equation in slope and intercept form is then y - 438 = 8.5(x - 50)

From which we have;

y = 8.5·x - 8.5×50 + 438 = 8.5·x + 13

y = 8.5·x + 13

Therefore, Shirt Express initially charges 13 per shirt which is less than the 50 Shirt Custom charges

2)  the cost to be the same, we equate both shirts equations to get;

8.5·x + 13 = 8·x + 50

0.5·x = 50 - 13 = 37

x = 37/0.5 = 74 shirts

Therefore, for the cost to be the same 78 shirts must be ordered

4 0
3 years ago
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