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3 years ago

Fill in the table using this function rule. y=-2x +4

Mathematics

1 answer:

Anton [14]3 years ago

3 0

Answer

i think this is what you mean

Step-by-step explanation:

x y

2 0

1 2

0 4

-1 6

-2 8

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Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several d

djyliett [7]

Answer:

The sample size is $n =33$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 1.5 seconds

The standard deviation is s = 4 seconds

Given that the confidence level is 97% then the level of significance is mathematically represented as

$\alpha =( 100 -97)\%$

=> $\alpha = 0.03$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.17$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2$

=> $n =[ \frac{2.17 * 4 }{1.5} ]^2$

=> $n =33$

7 0

3 years ago

What is the equation of the line in standard form of the graph below?

Mashcka [7]

Answer:

Step-by-step explanation:

8 0

2 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the ar

Studentka2010 [4]

Answer:

Alternative Hypothesis:H₁: μ ≠ 0.41

Step-by-step explanation:

Step(i):-

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

Step(ii):-

Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.

Given data

Null hypothesis: H₀ : μ = 0.41

Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis

Alternative Hypothesis:H₁: μ ≠ 0.41

7 0

2 years ago

What is the slope of the line that goes through the points (1,-5) and (4,1)

dem82 [27]

Answer:

D. 2

Step-by-step explanation:

So you use the formula with is $\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$ . so you get (1 - -5)/(4-1). this gets you to 6/3 and you get 2

5 0

3 years ago

The derivative of (x^2 +1)(x^3+ 1) (by definition and basic rule)

dlinn [17]

Answer:

f'(x) = 5x^4 + 2x + 3x^2

Step-by-step explanation:

To find the derivative of this equation we can do two things.

One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.

it might be clearer when I show you:

$f(x) = (x^2 + 1)(x^3 + 1)\\f'(x) = (2x)(x^3 + 1) + (x^2 + 1)(3x^2)\\Simplify:\\f'(x) = 2x^4 + 2x + 3x^4 + 3x^2 = 5x^4 + 3x^2 + 2x\\$

If you are not familiar with this rule you can first write out the function and then use the basic rule:

$f(x) = (x^2 +1)(x^3+1) = x^5 + x^2 + x^3 + 1\\f'(x) = 5x^4 + 2x + 3x^2$

If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still

8 0

3 years ago