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3 years ago

What would be the correct answer for this?

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

First let's understand the discriminant. Discriminant is an equation of D = b²-4ac. Discriminant is to find how many solutions do the equation have. In case for Quadratic Equation, there are 3 types of solutions which are:

No solutions or D < 0 — When D < 0, the equation does not have real roots.
One solution or D = 0 — When D = 0, the equation has one real root.
Two solutions or D > 0 — When D > 0, the equation has two real roots.

To find discriminant graphically, we need to know that the x-axis plane represents the solutions to the equations. All equations can be drawn as a graph. Some graphs do not intersect x-axis while some graph do.

If a graph intersects x-axis, the equation for that graph has solutions.
If a graph doesn't intersect x-axis, the equation doesn't have any real solutions.

You may also notice that some graphs intersect x-axis more than one point. Like I said that the x-axis represents the roots or the solutions. Intersecting x-axis "n" times means that the equation has "n" roots.

For example, if a graph intersects x-axis 8 points - the equation has 8 roots or solutions.

From the graph, the parabola intersects on x-axis just only one point. That means there is only one solution. The question asks to find the discriminant of the function. Recall that if D = 0, there's only one real root. Therefore the discriminant for the function is zero.

Answer

The discriminant for function is zero.

Let me know if you have any doubts!

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For A = {x|x is an integer greater than 7} and B = {x|x is an integer less than or equal to 12}

PIT_PIT [208]

Question

For A = {x|x is an integer greater than 7} and B = {x|x is an integer less than or equal to 12}

Answer:

B.) A intersetion B

Hope this helps!

3 0

3 years ago

The pet store has 20 mice: 11 are white, five are

luda_lava [24]

Answer:

The answer is: 5/20 or a 25% chance

4 0

3 years ago

Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequentl

Pachacha [2.7K]

Answer:

a) 0.24356 or 24.36%

b) [102.39 , 105.61]

c) The interpretation of this confidence interval is that in samples of 427 people aged 65 years and older, there is a 99% probability that the number of people that suffers sleep apnea is between 103 and 105.

Step-by-step explanation:

This can be considered a binomial distribution (a person either has sleep apnea or not).

Based on the sample we have the probability of suffering the condition is

p = 104/427 = 0.24356

and q (the probability of not suffering the condition) is

q=1-0.24356=0.75644

So the proportion of people aged 65 years and older who have sleep apnea is 0.24356 or 24.36%

To check if we can approximate this binomial distribution with the Normal distribution we must see that

np ≥ 5 and nq ≥ 5

where n is the sample size. Since

427*0.24356 ≥ 5 and 427*0.75644 ≥ 5

we can approximate the binomial with a Normal distribution with mean

np = 427*0.24356 = 104

and standard deviation

$\large s=\sqrt{npq}=\sqrt{427*0.24356*0.75644}=8.867$

The 99% confidence interval (without the continuity correction factor) is given by the interval

$\large [\bar x-z^*\frac{s}{\sqrt n}, \bar x+z^*\frac{s}{\sqrt n}]$

where

$\large \bar x$ is the sample mean

s is the sample standard deviation

n is the sample size

$\large z^*$ is the 0.01 (99%) upper critical value for

the Normal distribution N(0;1).

The value of $\large z^*$ can be found either by using a table or a computer to find it equals to

$\large z^*=2.576$

and our 99% confidence interval (without continuity correction) is

$\large [104-2.576*\frac{8.867}{\sqrt{427}}, 104+2.576*\frac{8.867}{\sqrt {427}}]=[102.8946,105.1054]$

We can now introduce the continuity correction factor. This should be done because we are approximating a discrete distribution (Binomial) with a continuous one (Normal).

This is simply done by widening the interval in 0.5 at each end, so our final 99% confidence interval is

[102.3946 , 105.6054] = [102.39 , 105.61] rounded to 2 decimal places.

The interpretation of this confidence interval is that in samples of 427 people aged 65 years and older, there is a 99% probability that the number of people that suffers sleep apnea is between 103 and 105.

If another study found a 15% of elderly people suffered sleep apnea, that would mean that in a sample of 427 only 64 would have the condition. Since that number is less than 103 by far, that would give us a reason to doubt about the conditions that framed the study (sample size, sampling method, age of people, etc.)

4 0

3 years ago

What past paper is this, can you please put a link to the question paper that this question came from :

neonofarm [45]

Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:

$D = \frac{3}{17}n$