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Licemer1 [7]
2 years ago
9

Let f(x) = x2 – 4, x < 0. What is f-1?

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

Answer:

-3

Step-by-step explanation:

f(x) = x2 – 4

replace x with -1

f(-1) = (-1)^2 – 4

= -3

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Simplify.<br><br> 5 - {-(-2)}<br><br> A)-3<br> B) 3<br> C)-7<br> D) 7
Fed [463]
<span>5 - {-(-2)}
</span>5 - {+2} (negative + negative = positive)
<span>5 - 2 (negative + positive = negative)
</span>3
5 0
3 years ago
PLZ HELP NOW! Mandy earns money based on how many hours she works. The following table shows Mandy's earnings. Hours 1 2 3 Earni
vampirchik [111]

Answer:

In khan academy, just plot the points and the answer is yes.

Step-by-step explanation:

Use the table to plot the points and you'll figure out that it's proportional- so the answer to the question below is yes. Doesn't need too much explaining.

8 0
3 years ago
6. Assume that a component passes a test is 0.85 and that components perform independently. What is the probability that the thi
Tanzania [10]

Answer:

3.90% probability that the third failure will occur on the tenth component tested

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not fail. Components perform independently. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Assume that a component passes a test is 0.85

So they fail with probability of p = 1 - 0.85 = 0.15

What is the probability that the third failure will occur on the tenth component tested

First 9 components: Two failures, that is, P(X = 2) when n = 9.

10th component: Failure with probability 0.15.

So

P = 0.15P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{9,2}.(0.15)^{2}.(0.85)^{7} = 0.2597

So

P = 0.15P(X = 2) = 0.15*0.2597 = 0.0390

3.90% probability that the third failure will occur on the tenth component tested

5 0
3 years ago
One factor in rating a National Hockey League team is the mean weight of its players. A random sample of players from the Detroi
lukranit [14]

Answer:

1) Random: A random sample needs to be obtained in order to apply inference for the mean

2) Normality condition: The sampling distribution of \bar X needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.

3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.

Step-by-step explanation:

For this case we need three conditions:

1) Random: A random sample needs to be obtained in order to apply inference for the mean

2) Normality condition: The sampling distribution of \bar X needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.

3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.

Data given and notation  

\bar X=203 represent the sample mean

s=10.9 represent the sample standard deviation  

n=17 sample size  

\mu_o represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We can assume the following system of hypothesis.

Null hypothesis:  \mu = \mu_o  

Alternative hypothesis :\mu\neq \mu_o  

The degrees of freedom on this case:

df=n-1=10-1

Compute the test statistic

The statistic for this case is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

7 0
3 years ago
Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
iren2701 [21]

Answer: f(x) = –3x + 14

Step-by-step explanation:

The point slope form of an equation is expressed as

y - y1 = m(x - x1)

The given equation is

y + 1 = –3(x – 5)

Comparing with the point slope equation,

y1 = - 1

Slope, m = - 3

x1 = 5

The equation of a straight line can also take the slope intercept form,

y = mx + c

Where

m is the slope(change in y /change in x)

c represents the intercept.

We would determine the intercept by substituting x = 5 , y = -1 , m = - 3, into y = mx + c. It becomes

- 1 = - 3 × 5 + c

- 1 = -15 + c

c = - 1 + 15 = 14

The equation becomes

y = -3x + 14

7 0
3 years ago
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