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2 years ago

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Mathematics

2 answers:

Yuliya22 [10]2 years ago

6 0

The answer is 110 440/4=110

gulaghasi [49]2 years ago

4 0

The answer is 110 adult tickets. Let x= student tickets and y= adult tickets.

We know that the total tickets sold was 440. That means the total number of student tickets (x) plus the total number of adult tickets (y) equaled 440. Putting it into an equation, you get:

x+y=440

Now we know that the amount of student tickets is equal to three times as many adult tickets, so in an equation that is seen as:

x=3y

In order to solve for one variable, plug in 3y for the x value of the first equation to get:

y+3y=440

then solve:

4y=440
y= 440/4
y=110

The total number of adult tickets sold was 110 tickets.
(This method used in math is technically called "Solving Systems of Equations", just fyi).

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The following data comparing wait times at two rides at Disney are listed below: Position Pirates Splash Mountain Sample Size 32

myrzilka [38]

Answer:

a) $(14.68 -18.77) - 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =-12.968$

$(14.68 -18.77) + 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =4.788$

b) $t=\frac{14.68-18.77}{\sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}}}}=-1.10$

Step-by-step explanation:

Data given and notation

$\bar X_{A}=14.68$ represent the mean for Pirates

$\bar X_{B}=18.77$ represent the mean for Splash Mountain

$s_{A}=11.87$ represent the sample standard deviation for the sample Pirates

$s_{B}=16.79$ represent the sample standard deviation for the sample Slpash Mountain

$n_{A}=32$ sample size selected for Pirates

$n_{B}=30$ sample size selected for Splash Mountain

$\alpha=0.02$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a

The confidence interval would be given by:

$(\bar X_A -\bar X_B) \pm t_{\alpha/2} \sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}$

The degrees of freedom are given by:

$df = n_A +n_B -2 = 32+30-2 = 60$

Since we want 98% of confidence the significance level is $\alpha =1-0.98 =0.02$ and $\alpha/2 =0.01$ , we can find in the t distribution with df =60 a critical value that accumulates 0.01 of the area on each tail and we got:

$t_{\alpha/2}= 2.39$

And replacing we got for the confidence interval:

$(14.68 -18.77) - 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =-12.968$

$(14.68 -18.77) + 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =4.788$

Part b

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the means are equal, the system of hypothesis would be:

Null hypothesis: $\mu_{A} = \mu_{B}$

Alternative hypothesis: $\mu_{A} \neq \mu_{B}$

the statistic is given by:

$t=\frac{\bar X_{A}-\bar X_{B}}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{14.68-18.77}{\sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}}}}=-1.10$

6 0

2 years ago

I need help assap

Bad White [126]

It’s 2=x because you have start with 2 then 5

5 0

2 years ago

Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.

inysia [295]

<h2>Hello!</h2><h2>Let me help you.</h2>

As I understand, you need to write an equation that relates $t \ and \ y$ . This problem will be solved using equations. The problem states:

<em>Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.</em>

<em />

From this statement, we know that:

t: Number of candies Nick bought.

y: Number of friends.

Since I am included in this problem, the number of people involved here can be expressed as:

$y+1$

Since each of us got 7 candies, then it is true that:

$\frac{t}{y+1}=7 \\ \\ t=7(y+1)$

<em>So t (number of candies) is a function of y(number of friends).</em>

6 0

2 years ago

Solve the system <br> {f (x) = 2x-1<br> {g (x) = x^2-4

Murrr4er [49]

Answer:

2 sets of possible solutions:

x=3, y = 5

and

x=-1, y = -3

Step-by-step explanation:

Using the graphical method, (see attached)

you can graph both equations and find their intersection points.

From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)

Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.

y = 2x + 1 ------------------- eq. (1)

y = x² - 4 ------------------- eq. (2)

4 0

3 years ago

What is the slope please help

mylen [45]

Slope: rise over run
4 up and 2 to left
4/2 = 2, the slope is 2

8 0

2 years ago