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densk [106]
3 years ago
8

A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that re

presents the relationship between
the number of lines (x) and the cost of the plan (y) per month.
Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

y = 15x + 55

Step-by-step explanation:

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Consider the following hypotheses:
Fantom [35]

Answer:

Step-by-step explanation:

Given that a hypothesis test (right tailed) was conducted for comparing sample mean with population mean.

H0: \bar x = 12.6\\HA: \bar x  > 12.6

Sample size n = 25

Population std dev = \sigma = 3.2

Std error of sample mean = sigma/sqrt n = 3.2/5 = 0.64

Sample mean = 13.4

Mean difference = 13.4-12.6 = 0.80

since population std deviation is known we can use Z test

Z= mean diff/std error = 1.25

a) p valu e= 0.10565

= 0.1057

b) Since p value is >0.10 accept H0.

C. Do not reject H0 since the p-value is greater than 0.10

c) If n =100, then we have std error of mean = 1/2 original = 0.32

Test statistic = 0.8/0.32 = 2.5

p value = 0.00621

d) Here since p <0.10, we reject null hypotehsis

B. Reject H0 since the p-value is smaller than 0.10

6 0
3 years ago
Determine if the triangle with the given sides is acute, obtuse, or right. 36, 49, 60
kotykmax [81]
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
</span>1) Square all 3 sides.
2) Sum the squares of the 2 shortest sides.
3) Compare this sum to the square of the 3rd side.

if sum > 3rd side²   Acute Triangle
if sum = 3rd side²   Right Triangle<span>
if sum < 3rd side²   Obtuse Triangle

1) 1,296   2,401   3,600
2) Sum = 3,697
3) </span><span>3,697 is greater than 3,600
Therefore, the triangle is acute.

Source:
http://www.1728.org/triantest.htm


</span>
4 0
3 years ago
Prove that when x &gt; 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Pythagore
klemol [59]

First we need to see the pythagorean formula which is

a^2 + b^2 = c^2

Substituting the given values of a,b , we will get

(x^2 -1)^2 + (2x)^2

= x^4 +1 -2x^2 +4x^2

= x^4 +1 +2x^2

= (x^2 +1)^2

And

(x^2 +1)^2 = c^2

So we have

a^2 + b ^2 = c^2

So the given triangle is a right triangle .


4 0
3 years ago
Cindy read for å of an hour on Friday. She read for of an hour
Anettt [7]

Answer:

gjxnsthsjtdjts

Step-by-step explanation:

ueuwutetjskydjy

5 0
3 years ago
4+5(6t+1) and 9+30t equivalent or not equivalent
andrezito [222]

Answer:

No, 4+5(6t+1) EQUALS 9+30t

And 9+30t Equals 3(3+10t)

Step-by-step explanation:

GCF=3

3(9/3 + 30t/ 3) =

3(3+10t)

And

4+5(6t+1)

4+30t+5

30t+ (4+5)

Simplifying =

30t+9

4 0
3 years ago
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