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3 years ago

I need help with these questions for Quadratic functions

Mathematics

1 answer:

STALIN [3.7K]3 years ago

7 0

9514 1404 393

Explanation:

1. The general form of a quadratic in standard form* is ...

$f(x)=ax^2+bx+c$

An example is ...

$f(x)=2x^2+3x-5$

The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.

2. The general form of a quadratic in vertex form can be written as ...

$f(x)=a(x-h)^2+k$

An example is ...

$f(x)=2(x -3)^2 -5$

The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.

_____

* In the UK, "standard form" is vertex form.

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Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

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Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

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3 years ago

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marin [14]

The answer will be -1/9

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As the value of the multiple coefficient of determination increases,

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Answer:

a.the goodness of fit for the estimated multiple regression equation increases.

Step-by-step explanation:

As the value of the multiple coefficient of determination increases,

a. the goodness of fit for the estimated multiple regression equation increases.

As we know that the coefficient of determination measures the variability of response variable with the help of regressor. As we know that if the value of the coefficient of determination increases strength of fit also increases.

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A pipe is 25 inches long and has a diameter of

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Answer:

The lateral area is 392.5 sq. inches.

Step-by-step explanation:

The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:

Lateral Area = $2\pi r h$

Where

r is the radius (half of diameter)

h is the height

Given, diameter = 5

so,

radius = 5/2 = 2.5

Also,

height = 25 inches (same as length, here)

Now we use 3.14 for $\pi$ and substitute the values to get the lateral area:

Lateral Area = $2\pi r h = 2(3.14)(2.5)(25)=392.5$

The lateral area is 392.5 sq. inches.

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In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. what percent of the cars finished the

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Answer:40%

Step-by-step explanation: 12/30=.4

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