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Andrei [34K]
2 years ago
13

The parking meter charges $2 for the first hour, then $.75 for each hour thereafter. Nate only has $5. How many hours can he par

k?
Mathematics
2 answers:
frozen [14]2 years ago
8 0

Answer:5 hours

Step-by-step explanation:

torisob [31]2 years ago
5 0

Answer:

5 hours

Step-by-step explanation:

We can express the information given using an equation

y = 0.75(x - 1) + 2

Where y represents the total amount charged and x represents the hours

If Nate has only $5, we can plug that into y and solve for x

5 = 0.75(x - 1) + 2

3 = .75(x - 1)

4 = x - 1

5 = x

Nate can park for 5 hours

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Every year the state department of education gathers statistical information from all schools to award a letter grade showing th
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The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are
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Answer:

Z_{H_0}= -1.85

Step-by-step explanation:

Hello!

The high school dropout rate, as a percentage of 16- through 24- year-olds who are not enrolled in school and have not earned a high school credential was is 2009 8.1%.

To thest the claim that this percentage has decreased, a polling company takes a random sample of 1000 people between the ages of 16 and 24 and finds out that 6.5% of them are highschool dropouts.

The study variable is

X: Number of individuals with age between 16 and 24 years old that are highschool dropouts.

The parameter of interest is the proportion fo highschool dropouts p

And the sample proportion is p'= 0.065

The hypotheses are:

H₀: p ≥ 0.081

H₁: p < 0.081

To study the population proportion, you have to approximate the distribution of the sampling proportion to normal applying the Central Limit Theorem, then the statistic to use is an approximate standard normal:

Z_{H_0}= \frac{(p'-p)}{\sqrt{\frac{p*(1-p)}{n} } } = \frac{0.065-0.081}{\sqrt{\frac{0.081*0.919}{1000} } } = -1.85

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2 years ago
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4 0
1 year ago
points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top
Leona [35]

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

5 0
2 years ago
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