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4 years ago

Can anyone answer this question please?

Mathematics

1 answer:

SIZIF [17.4K]4 years ago

4 0

When comparing the slopes of the functions you must first make y the subject of formula.

6x - y - 2 = 0 => y = 6x - 2 => slope is 6

2y = 3/2 x + 6 => y = 3/4 x + 3 => slpoe = 3/4

5 = 2x + 4y - 3 => 4y = -2x + 5 + 3 = -2x + 8 => y = -1/2 x + 2 => slope = -1/2

The first function is steepest followed by the second function and then the third function.

The slope is not affected by the y-intercept neither is the y-intercept affected by the slope.

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Let $b=$ Ben's age
Let $d=$ Daniel's age

We know:
$b=d+20$
and
$b-3=3(d-3)$

Plug the value of $b$ into the second equation:
$(d+20)-3=3(d-3)$
$\rightarrow d+17=3d-9$
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$\rightarrow-2d=-26$
$\rightarrow d=13$

Since Ben is 20 years older than Daniel, Ben is 13+20=33 years old.

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3 years ago

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Snowcat [4.5K]

To calculate what is asked we use the formula for radioactive decay. It is expressed as follows:

An = Ao (e^(-kt))

We calculate as follows:

An = Ao (e^(-kt))
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Hope this answers the question.

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3 years ago

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Answer:

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3 years ago

Suppose you were given a 95% confidence interval for the difference in two population means. What could you conclude about the p

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Answer:

(a) The population means are not same.

(b) The population means are same.

Step-by-step explanation:

The hypothesis to test whether there is a significant difference between two population means is:

H₀: There is no difference between the two population means, i.e. μ₁ - μ₂ = 0.

Hₐ: There is no difference between the two population means, i.e. μ₁ - μ₂ ≠ 0.

The decision rule based on confidence interval for the difference between two population means is:

If the confidence interval consists the null value of the difference, i.e. 0 then the null hypothesis will be accepted or else it will be rejected.

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Since the null value of the difference is not contained in the interval, it can be concluded that the null hypothesis will be rejected.

Thus, the population means are not same.

(b)

It is provided that the confidence interval for the difference between two population means does contains 0.

Since the null value of the difference is contained in the interval, it can be concluded that the null hypothesis will not be rejected.

Thus, the population means are same.

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