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kvasek [131]
2 years ago
11

Write a real world situation that could be modeled be the equation 120 + 25x =45x

Mathematics
1 answer:
Savatey [412]2 years ago
4 0
Is renting a car
company A charges $120 plus 25 dollars per day

company B charges 45 dollars per day

at how many days will the costs be equal

120+25x
x=days
45x

120+25x=45x
subtract 25x from btoh sdies
120=20x
divide both sdie sb 20
6=x

the answer is 6 days
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Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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:

n = 1095, \pi = \frac{478}{1095} = 0.4365

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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
2 years ago
What is the mean absolute deviation for the set of data below?<br><br> 2, 8, 10, 16
Evgesh-ka [11]

Solution: We are given below data:

2, 8, 10, 16

Now to find the mean deviation, we use the below formula:

MD= \frac{\sum|X-\bar{X}|}{N}

Where:

\sum,  represents the summation

X, represents the observation.

\bar{X}, represents the mean

N represents the number of observation.

\bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9

\sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16

Therefore, the mean deviation is:

MD= \frac{16}{4}

        = 4

5 0
3 years ago
Read 2 more answers
A kennel is moving 160 dogs to a new facility each dog has its own crate the facility manager rents 17 trucks each truck holds 9
mina [271]
This will only be able to hold 153 dogs in total. He will need 1 additional truck to hold the last 7 dogs. 
4 0
2 years ago
Solve the equation 3(2x+2)=3x-15<br>x=-7<br>x=-17/3<br>x=3<br>x=7​
Nady [450]

3(2x+2)=3x-15

mutiply the bracket by 3

(3)(2x)(3)(2)= 6x+6

6x+6= 3x-15

move 3x to the other side

sign changes from +3x to -3x

6x-3x+6= 3x-3x-15

6x-3x+6= -15

3x+6= -15

move +6 to the other side

sign changes from +6 to -6

3x+6-6= -15-6

3x= -21

divide by 3 for both sides

3x/3= -21/3

x= -7

Answer: x= -7

4 0
3 years ago
Read 2 more answers
Brainliest + Points
bagirrra123 [75]

(5.5 \times 75 \\

maybe u had to multiply the rate and monthly payment

6 0
2 years ago
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