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vodka [1.7K]
2 years ago
9

2. Destiny rents games from a company that charges a $9.00 monthly fee and $2.50 for each game rental. She ends up paying $26.50

for the month of July. The equation 2.5x + 9 = 26.5 represents this situation. Solve the equation for x. What does this value of x mean in terms of the context?
Mathematics
1 answer:
slega [8]2 years ago
7 0

Answer:

x = 7

and it means that 7 games were rented that month

Step-by-step explanation:

Here, we are to solve for x from the given equation

we have this as:

2.5x + 9 = 26.5

2.5x = 26.5-9

2.5x = 17.5

x = 17.5/2.5

x = 7

What x means in this case is that the number of games rented in the month is 7

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Which came first? the chicken or your mom
NemiM [27]

Answer:

what if my moms a chicken?

Step-by-step explanation:

asking for a friend

6 0
3 years ago
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes
jok3333 [9.3K]

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

P(X = r) = nCr * p^{r}  * (1 - p)^{n - r}

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

5 0
3 years ago
Find the length of the third side of each triangle
LuckyWell [14K]

Answer:Where is the picture?

Step-by-step explanation:

5 0
3 years ago
Which graph best represents the function f(x)=2x ?
yan [13]

Answer:

B

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents 2(2^x) = 2^{x+1}, B is the one you want, C is \frac{2^x}2 = 2^{x-1} and D looks like 4^x = 2^2^x

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2 years ago
Julius, a manager in a data analytics company, has assigned five of his team members to a particular project. At the end of ever
zloy xaker [14]

Answer:

B. The Gantt chart

Step-by-step explanation:

The best chart that would best fulfill Julius's requirement is the Gantt chart

A Gantt chart is a type of chart that is used to give a visual illustration of tasks or project schedule for a particular time. Gantt chart is a special bar chart plot with the tasks to be performed on the vertical axis, and time intervals on the horizontal axis. Gantt charts are used for planning projects of all sizes. They show the start date of the project, the list of project tasks, the people working on each task, start and finish time for the tasks, grouping of the tasks, tasks linkage and progress of the tasks.          

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