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3 years ago

For the basic function f(x)=x, what conclusions can you make about f(x) and f(x)-5? Select all that apply.

Mathematics

1 answer:

babunello [35]3 years ago

7 0

Answer:The ansewers are c and d.

Step-by-step explanation:

The function f(x)=x is really y=x.

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Suppose that a recent poll found that 49% of adults believe that the overall state of moral values is poor. Complete parts (a)

Lunna [17]

Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 250, p = 0.49$

$E(X) = np = 250*0.49 = 122.5$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.49*0.51} = 7.9$

The mean of X is 122.5 and the standard deviation is 7.9.

3 0

3 years ago

A line passes through point (-6,-5) and has a slope of -3/2 <br><br> write in Ax+by=c

Evgesh-ka [11]

Answer:

-6x+-5y= -3/2

Step-by-step explanation:

Hope this helps

7 0

3 years ago

Nancy bought a soft drink for 2 dollars and 9 candy bars. She spent a total of 38 dollars. How much did each

natima [27]

Answer:

Step-by-step explanation:

Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:

38 - 2 = 36

Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:

36 / 9 = 4

So, each candy bar costs 4 dollars

Hope this helps :)

3 0

3 years ago

Read 2 more answers

A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between

victus00 [196]

Answer:

a) $\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \cos \left(2\pi\cdot \frac{t}{4.2} \right)$ , b) $\frac{dB}{dt}\approx 5.595$

Step-by-step explanation:

a) The rate of change of the brightness of the Cepheid can be determined by deriving the function in time:

$\frac{dB}{dt} = \left(\frac{2\pi}{4.2} \right)\cdot 0.25\cdot \cos (2\pi\cdot \frac{t}{4.2})$

$\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \cos \left(2\pi\cdot \frac{t}{4.2} \right)$

b) The rate of increase after one day is:

$\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \left(2\pi \cdot \frac{1}{4.2} \right)$

$\frac{dB}{dt}\approx 5.595$

4 0

3 years ago

How do you answer this for a elimination simulatoneons equation

denis23 [38]

$\it 3x+2y=14
\\
5x-2y=18
\\
------\\
8x \ \ \ \ \ \ \ =32 \Rightarrow x = 32:8\Rightarrow x=4 \ \ \ (*)$

$\it 3x+2y=14 \stackrel{(*)}{\Longrightarrow} 3\cdot4+2y=14 \Rightarrow 12+2y=14 \Rightarrow 2y=14-12\Rightarrow 
\\\;\\
\Rightarrow 2y=2 \Rightarrow y=2:2 \Rightarrow y=1$

Therefore, the solution is: x = 4, y=1.

3 0

3 years ago

Read 2 more answers