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Tom [10]
2 years ago
9

Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of

them (including herself) candy that cost $3.75 each and drinks that cost $4.25 each.
Mathematics
1 answer:
N76 [4]2 years ago
7 0

Answer:

4(x+8) OR 4x+32

Step-by-step explanation:

4x+(4*3.75)+(4*4.25)

There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.

If you want to factor it, the answer would be 4(x+8)

If you want it simplified, it would be 4x+32

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bazaltina [42]

Answer:

{(3x + 4)}^{2}

Step-by-step explanation:

<em>thinked</em><em> </em><em>number</em><em> </em><em>=</em><em> </em><em>x</em>

<em>multiply</em><em> </em><em>by</em><em> </em><em>3</em>

<em>x \times 3 \\ =  3x</em>

<em>add</em><em> </em><em>4</em><em> </em>

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4 0
3 years ago
Read 2 more answers
A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of
GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.989.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0
3 years ago
Which sequence is modeled by the graph below? coordinate plane showing the points 1, 2; 2, 2; 3, 2; 4, 2
prisoha [69]

We will start with plotting the x coordinates and y coordinates on the graph

The points 1, 2; 2, 2; 3, 2; 4, 2  have been plotted on the graph which has been attached as an image to the solution.

We can see that the value of y is staying constant (2) for all values of x.

Hence, the points represent the equation y = 2.

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3 years ago
What is the area of the polygon? Show your work! ​
stepan [7]

Answer:

6+6=12 cm

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6+6= 12 cm

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Step-by-step explanation:

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