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Sholpan [36]
3 years ago
7

Samantha is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie w

atched. Plan B costs $14 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Samantha watches x per month, and let B represent the monthly cost of Plan B if Samantha watches x movies per month. Graph each function and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.
Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

Samantha would have to watch 4 Movies so x=4

Step-by-step explanation:

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lutik1710 [3]
What type of graphs
 if it is a bar graph look at the hights or the ranges
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6 0
3 years ago
Graph a parabola whose vertex is at (3,5)(3,5)left parenthesis, 3, comma, 5, right parenthesis with yyy-intercept at y=1y=1y, eq
Rudik [331]

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

<h3>How to get the equation of the parabola?</h3>

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

If you want to learn more about parabolas, you can read:

brainly.com/question/1480401

4 0
2 years ago
An auto mechanic knows the average time it takes to replace a defective car radiator is 70 minutes with a standard deviation of
horsena [70]
<span>Given that the average time it takes to replace a defective car radiator is 70 minutes with a standard deviation of 12 minutes.

The 90% confidence interval of a random sample of 50 is given by

90\% \ C.I.=70\pm1.645 \frac{12}{\sqrt{50}}  \\  \\ \Rightarrow 70+1.645 \frac{12}{\sqrt{50}} \ and \ 70-1.645 \frac{12}{\sqrt{50}}</span>
8 0
3 years ago
onsider the following hypothesis test: H 0: 50 H a: &gt; 50 A sample of 50 is used and the population standard deviation is 6. U
kondaur [170]

Answer:

a) z(e)  >  z(c)   2.94 > 1.64  we are in the rejection zone for H₀  we can conclude sample mean is great than 50. We don´t know how big is the population .We can not conclude population mean is greater than 50

b) z(e) < z(c)  1.18 < 1.64  we are in the acceptance region for   H₀  we can conclude H₀ should be true. we can conclude population mean is 50

c) 2.12  > 1.64 and we can conclude the same as in case a

Step-by-step explanation:

The problem is concerning test hypothesis on one tail (the right one)

The critical point  z(c) ;  α = 0.05  fom z table w get   z(c) = 1.64 we need to compare values (between z(c)  and z(e) )

The test hypothesis is:  

a) H₀      ⇒      μ₀  = 50     a)  Hₐ    μ > 50   ;    for value 52.5

                                          b) Hₐ    μ > 50   ;     for value 51

                                          c) Hₐ    μ > 50   ;      for value 51.8

With value 52.5

The test statistic    z(e)  ??

a)  z(e) =  ( μ  -  μ₀ ) /( σ/√50)      z(e) = (2.5*√50 )/6   z(e) = 2.94

2.94 > 1.64  we are in the rejected zone for H₀  we can conclude sample mean is great than 50. We don´t know how big is the population .We can not conclude population mean is greater than 50

b) With value 51

z(e) =  ( μ  -  μ₀ ) /( σ/√50)    ⇒  z(e) =  √50/6    ⇒  z(e) = 1.18

z(e) < z(c)  we are in the acceptance region for   H₀  we can conclude H₀ should be true. we can conclude population mean is 50

c) the value 51.8

z(e)  =  ( μ  -  μ₀ ) /( σ/√50)    ⇒ z(e)  = (1.8*√50)/ 6   ⇒ z(e) = 2.12

2.12  > 1.64 and we can conclude the same as in case a

8 0
3 years ago
The bill for a meal at a restaurant before tax is $84.00. The sales tax rate is 7% and you want to leave a 20% tip based on the
34kurt
Find 20% first
20% of 84 is 16.8

tax is 7% of 84 which is 5.88

total

84+16.8+5.88=$106.68
4 0
3 years ago
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