PLEASE HELP!!!

Mathematics

2 answers:

kolezko [41]3 years ago

4 0

Answer:

The correct answer is 2

Step-by-step explanation:

liq [111]3 years ago

4 0

Answer:

y ≤ $\frac{2x}{ 3}$ + $\frac{1}{ 5}$ .

Step-by-step explanation:

Given : Graph .

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down and solid line

It has solid line it mean inequality has equal to sign.

It is shaded down it mean inequality y has less than or equal to sign.

Slope = $\frac{y_{2}-y_{1} }{x_{2}- x_{1}}$ .

Slope = $\frac{2.2- 0.2 }{ 3- 0}$ .

Slope = $\frac{2}{ 3}$ .

Y intercept = 0.2 = $\frac{2}{ 10}$ .

y intercept = $\frac{1}{ 5}$ .

Equation of line y = mx + b

Where m = slope , b = y intercept .

Plug the values of slope and y intercept .

y ≤ $\frac{2}{ 3}$ + $\frac{1}{ 5}$ .

Therefore, y ≤ $\frac{2x}{ 3}$ + $\frac{1}{ 5}$ .

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A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$