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Bogdan [553]
2 years ago
14

wanting to cut down his television-watching time slowly, Vince decides to watch 30 fewer minutes of television each week after t

he first.If Vince watches 6 hours of television during the first week,which of the following equations predicts vince's hours of television n weeks after the first
Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

f(n) = - 0.5n + 6

Step-by-step explanation:

Because Vince cuts down his television watching at a steady pace, his situation models a linear function. As such, we can use slope-intercept form to write and predict his hours watching tv in n weeks.

Slope-intercept form is y=mx+b. In this case, we are choosing to use f(n) instead of y to show the number of hours he is watching tv. We are also choosing to use n weeks instead of x. So we have the form f(n)=mn+b.

We know that Vince starts out at watching 6 hours a week. This is our initial value known as the y-intercept and represented by b. As each week passes, he will decrease from the previous week by 30 minutes or -0.5 hours since 30 out of 60 minutes is 0.5. And since he is decreasing it should be a negative rate of -0.5 and is represented by m.

We substitute b=6 and m=0.5 into our form to get f(n)=-0.5n+6. Let's test week 1. After 1 week he should be down from 6 hours to 5.5 hours or 5 hours and 30 minutes. Let's substitute n=1.

f(n)=-0.5(1)+6=-0.5+6=5.5

We can substitute for any n week and find the amount.


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Mandarinka [93]

Answer:

45.8

Step-by-step explanation:

We need to find the surface area for this entire figure!

We can see that this is a pyramid here - we must find the area of the 3 triangles and the base triangle at the bottom.

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To find the area of a triangle, use  Area = base*height/2

Area=3(\frac{5*7}{3} )+(\frac{5*4.3}{2})\\Area=35+10.75=45.75

Round to the nearest tenth: 45.75 -> 45.8

4 0
3 years ago
If two lines never intersect when graphed. Which of the following best describe the number of solution to this system of linear
serg [7]

Think of when If you cross two lines you get a point where they meet

A point is a solution.

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3 years ago
A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

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where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

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The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

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diamong [38]

find the prime factors of each term in order to find the GCF

answer is pq^2

4 0
3 years ago
Mark said, "in the data set,4, 5, 5, 8, the mean and mode the same. " Is he correct? Explain why or why not in your explanation
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Answer:

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Step-by-step explanation:

the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)

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