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3 years ago

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient? –8 –4 0 1

2 answers:

8 0

The leading coefficient is the coefficient of the highest power in this case x^2 (x squared)

x^2 has no number written before it , so it's 1 (last choice)

timama [110]3 years ago

7 0

Answer:

1 is leading coefficient. last option is correct

Explanation:

We have been given the quadratic function $x^{2}-8x-4$

We know that leading coefficient is the coefficient of the variable having highest exponent.

So, in order to state the leading coefficient we first of all find the highest exponent of the given function.

Clearly, the given function is quadratic and hence, the highest exponent is 2.

The coefficient of the variable of highest exponent is 1.

Therefore the leading coefficient is 1. last option is correct

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In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th

Salsk061 [2.6K]

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

$P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%$

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

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3 years ago

A social psychologist predicted that ratings of an individual’s social desirability would be influenced by their physical attrac

marshall27 [118]

Answer:

It is stated in the query that the more attractive the individual, the higher their rank of desirability.

Step-by-step explanation:

This means that we should conclude that the alternative explanation of "higher degree of desire contributes to higher levels of social attractiveness"

In the event of a null hypothesis, we will believe that the degree of attractiveness has no impact on the score of cultural desirability.

(1) Null hypothesis:- The level of attraction does not have an impact on the rating of social desirability.

(2) Alternate hypothesis:- The level of attraction has a positive effect on the ranking of social desirability.

(3) The error of Type I is characterized as the rejection of the true null hypothesis. Therefore, in this case, the type I mistake would be that "the level of attraction has a positive effect on the rating of social desirability while the level of attraction does not have an impact on the rating of social desirability."

(4) The error of type II is characterized as the failure to reject the false null hypothesis. Thus, in this situation, the Type II error would be that "the level of attraction has no impact on the rating of social desirability while the real level of attraction has a positive effect on the rating of social desirability."

(5) We know that the likelihood of having a Form I error is equal to the degree of significance (in percent terms). The significance level, in this case, is 0.05, so the likelihood of making a form I error is 0.05 * 100=5 percent.

Therefore, there is a 5 percent risk of making a Type I mistake.

3 0

3 years ago

What function is graphed below?

tester [92]

The answer for the exercise shown above is the first option, which is:
<span> f(x)=log(x-3)
The explanation is shown below:
If you substitute the x in the function for values, you will obtain the graph attached above. As you can see on the mentioned graph, when the variable x has the value 4, the value y is 0. Therefore, you have:
</span> f(x)=log(x-3)
  f(x)=log(4-3)
  f(x)=log(1)
  f(x)=0<span>
</span>

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3 years ago

Read 2 more answers

What is the equation, in point-slope form, for a line that goes through (2, −6)(2, −6) and has a slope of −34−34 ?

Keith_Richards [23]

The answer is the last one option: y+6=-34(x+2). I told you the reason in the other similar question.

8 0

3 years ago

The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year

Zinaida [17]

Answer:

$y= 250000(1.022)^x$