What is this question trying to ask and why is c the correct answer?

Mathematics

2 answers:

harkovskaia [24]3 years ago

6 0

Answer: (C) 1

Step-by-step explanation:

The question is asking which y-value are not represented in the graph. IN other words, they are asking for which values are not included in the range.

You can do this by graphing the equations:

y = x + 2 for x ≥ 0 has a y-intercept of +2 with y-values increasing

Note: +2 is included so has an closed dot

y = x - 2 for x < 0 has a y-intercept of -2 with y-values decreasing

Note: -2 is not included so has an open dot

Therefore, there are no y-values between +2 and -2 (including -2). The only option provided between these values is 1, which is option C.

Leni [432]3 years ago

5 0

Step-by-step explanation:

The given function is an increasing piecewise function with a jump at x=0 from

f(0-) = -2 to f(0)=+2.

Hence values of f(x) in the interval (-2,+2] cannot be achieved, since

for all x<0, f(x)<-2, and

for all x>=0, f(x)>= +2.

See attached graph for visual explanation.

You might be interested in

Beth’s music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother’s songs is 3:2

denpristay [2]

Answer:

IDK

nvm its writ 5 in beths colum

sorry for my spelling

Step-by-step explanation:

i got it right on apex

3 0

3 years ago

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.895 g and a standard deviation

kvasek [131]

Answer:

3.67% probability of randomly seleting 37 cigarettes with a mean of 0.809 g or less.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .