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Lunna [17]
2 years ago
11

Considering the sign up fee and monthly membership fee for a gym the equation c=30m+25 can be used to represent the total cost o

f a gym membership for m months what is the amount of the sign up fee
Mathematics
1 answer:
Naddik [55]2 years ago
7 0

Answer:

$25

Step-by-step explanation:

Cost  = 30 x months  +  25

Every month you will pay 30$

At 0 months when  you sign up  substitute m=0

Cost  = 30x 0  +25 =  0  +25 =25

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10<br> Using the quadratic formula to solve x2 = 5 – X, what are the values of x?
loris [4]

x^2 = 5 - x

x^2 + x - 5 = 0

-1 +/-\frac{ \sqrt{ {1}^{2} - 4(1 \times  - 5) } }{2}

x = (1 + √21) / 2

x = (1 - √21) / 2

6 0
3 years ago
26 ÷ -6<br><br>as a mixed number and simplified ​
Fed [463]

Answer:

-4 1/3

Step-by-step explanation:

26 ÷ -6

= 26 / -6    (divide both top and bottom by 2)

=  13 / 3

= -13 / 3

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7 0
3 years ago
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What is the value of x?​
LiRa [457]

Answer:

98°

Step-by-step explanation:

x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

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5 0
2 years ago
Best known for its testing program, ACT, Inc., also compiles data on a variety of issues in education. In 2004 the company repor
GarryVolchara [31]

Answer:

\mu_p -\sigma_p = 0.74-0.0219=0.718

\mu_p +\sigma_p = 0.74+0.0219=0.762

68% of the rates are expected to be betwen 0.718 and 0.762

\mu_p -2*\sigma_p = 0.74-2*0.0219=0.696

\mu_p +2*\sigma_p = 0.74+2*0.0219=0.784

95% of the rates are expected to be betwen 0.696 and 0.784

\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

\mu_p +3*\sigma_p = 0.74+3*0.0219=0.806

99.7% of the rates are expected to be betwen 0.674 and 0.806

Step-by-step explanation:

Check for conditions

For this case in order to use the normal distribution for this case or the 68-95-99.7% rule we need to satisfy 3 conditions:

a) Independence : we assume that the random sample of 400 students each student is independent from the other.

b) 10% condition: We assume that the sample size on this case 400 is less than 10% of the real population size.

c) np= 400*0.74= 296>10

n(1-p) = 400*(1-0.74)=104>10

So then we have all the conditions satisfied.

Solution to the problem

For this case we know that the distribution for the population proportion is given by:

p \sim N(p, \sqrt{\frac{p(1-p)}{n}})

So then:

\mu_p = 0.74

\sigma_p =\sqrt{\frac{0.74(1-0.74)}{400}}=0.0219

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

\mu_p -\sigma_p = 0.74-0.0219=0.718

\mu_p +\sigma_p = 0.74+0.0219=0.762

68% of the rates are expected to be betwen 0.718 and 0.762

\mu_p -2*\sigma_p = 0.74-2*0.0219=0.696

\mu_p +2*\sigma_p = 0.74+2*0.0219=0.784

95% of the rates are expected to be betwen 0.696 and 0.784

\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

\mu_p +3*\sigma_p = 0.74+3*0.0219=0.806

99.7% of the rates are expected to be betwen 0.674 and 0.806

5 0
3 years ago
Lazy help me asap.......
damaskus [11]

Answer:

3 3/11 im sure its correct.

4 0
2 years ago
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