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2 years ago

Whats the answer to this?

Mathematics

2 answers:

strojnjashka [21]2 years ago

8 0

Answer: 6

Step-by-step explanation:

Let the taco be t. Let the hat = h. Let the guitar = g.

Based on the first equation, we get 2t = 8.

Divide by 2 on both sides:

t = 4.

We can plug in the value of t into the second equation.

Then, h + 4 = 7.

So, h = 3

Plug the value of h into the third equation.

We get that 3 + g = 5.

Therefore, g = 2

We are asked to find the value of g + t:

Which is 2 + 4 = 6

jasenka [17]2 years ago

3 0

The answer I believe is 7

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Which table represents a quadratic relationship?

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In each case, the x-values are equally-spaced. Thus looking at second differences will tell you if the relation is quadratic. If the second differences are non-zero and constant, then the values have a quadratic relationship.

A. First differences are 2-4 = -2, 1-2 = -1, 0.5-1 = -0.5. Second differences are -1-(-2) = 1, -0.5-(-1) = 0.5. Since 1 ≠ 0.5, this relation is not quadratic. (It is exponential with a base of 1/2.)

B. First differences are 128-135 = -7, 105-128 = -23, 72-105 = -33. Second differences are -23-(-7) = -16, -33-(-23)=-10. Since -16 ≠ -10, this relation is not quadratic. (It is cubic, since 3rd differences are constant at +4.)

C. First differences are -23.2-(-23.4) = 0.2, -23.0-(-23.2) = 0.2, -22.8-(-23.0) = 0.2. Second differences are zero, so this is not a quadratic relation. (It is linear, with a slope of 0.2.)

D. First differences are 56-90 = -34, 26-56 = -30, 0-26 = -26. Second differences are -30-(-34) = 4, -26-(-30) = 4. These are constant (=4), so the relation is quadratic.

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2. Create an estimated probability distribution for the time teens spend texting.

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Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

Frequency* 0.2 0.09 0.25 0.18 0.11 0.07 0.05 0.02 0.01 0.02 0.01

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The table shows the number of hours, to the nearest half hour per day, that teens spend texting according to a random sample of 870 teenagers aged 13–18 in a large urban city.

Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

Frequency 170 82 220 153 92 58 40 15 12 18 10

Step-By-Step Explanation:

As we need the estimated probability distribution for teens spending time texting, we will be needing the total sample size.

As given in the problem statement,

Total Sample Size = 870

To calculate estimated probability distribution, we will convert the frequency sample into estimated probability distribution, for that:

Estimated Probability Distribution (Frequency*)= $\frac{Frequency.Sample.Size.of.that.hour}{Total.Sample.Size}$