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kiruha [24]
3 years ago
11

4. On a beach trip, Lucy rents a bike from "Wheels by the Waves", where

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

6 hours

Step-by-step explanation:

The equation for this would be

c=3h+12

It costs $3 per hour, and there is a $12 cost no matter how many hours the bike is rented for

We know,c, or the cost is $30, so we can substitute that in

30=3h+12

Solve, by isolating the variable,h

First, subtract 12 on both sides

30=3h+12

18=3h

Divide by 3 on both sides

h=6

So, she rented the bike for 6 hours

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Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c
nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
What is an example of similar triangles or polygons that you may see in the real world?
Roman55 [17]

triangles ABC AND MAc the right angle and angle b

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3 years ago
Which is equivalent to 12=4x-Y
Valentin [98]
Missing informations but this can be turned into y=4x-12
6 0
3 years ago
Please help me solve -2(-3-3n)+1
vivado [14]

Answer:

6n +7

Step-by-step explanation:

You cannot solve since this is an expression, you can only simplify

-2(-3-3n)+1

Distribute the -2

-2*-3 -2*-3n +1

6 +6n +1

Combine like terms

6n +7

8 0
3 years ago
Read 2 more answers
If sinø= 4/7, what is cosø?
balandron [24]
If sine (theta) = 4/7 then theta is found by:
arc sine (4/7) = theta
theta = 34.85 Degrees
cosine (34.85) = 0.82065




4 0
3 years ago
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