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Serjik [45]
2 years ago
14

The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the diffe

rence of the lengths of the highways when 1 = 1 = 4? Explain.
Mathematics
1 answer:
Mashutka [201]2 years ago
3 0

Step-by-step explanation:

13.5 is the difference of the length of the roads

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Find the area of the shape below
maks197457 [2]

Answer:

204 ft^2

Step-by-step explanation:

<u>triangle on the left</u>:

A= l x w x 1/2

A = 12 x 5 x 1/2

A = 30 ft^2

<u>triangle on the right</u>:

Same thing

A = 30 ft^2

<u>square in the middle</u>:

A = l x w

A = 12 x 12

A = 144 ft^2

<u>Add them up</u>:

30 + 30 + 144 = 204 ft^2

3 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
Maria types a 5 page paper in 40 minutes. At this rate, how many pages will she type in 136 minutes?
kvv77 [185]
In this equation, X = 17
8 0
3 years ago
Does this graph represents a function? why or why not?
ankoles [38]

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

3 0
3 years ago
Algebra ,, will mark brainliest!!
Viktor [21]

Answer:

B

Step-by-step explanation:

(1 1/2,-2)

solve for x and get 1 1/2

solve for y and get -2

7 0
2 years ago
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