All categories

3 years ago

Solve the problem and then click on the correct graph. y ≤ |x|

Mathematics

2 answers:

NARA [144]3 years ago

4 0

Answer:

First picture

Step-by-step explanation:

The y-value is the shaded part, which represent the "lesser than or equal to".

The absolute x or |x| is = -x or x. That is why two lines spread apart. The no-shaded part presents the absolute x.

8_murik_8 [283]3 years ago

3 0

Answer:

1st one.

Step-by-step explanation:

The line

For it is lesser than or equal to, then the line is made up of a continuous trace, in this case (red line). All the values that satisfy this function, for y whose absolute value is lesser than or equal to x are in this shaded region.

As we are talking of absolute value, of y≤ -x or y≥x then the line goes to left and to the right. And the parameter "b" is equal to 0, the graph goes through the origin. (0,0)

The Shaded region

As it is <em>lesser than or equal to </em>it is shaded down.

Examples below of points ∈ to this function:

$(1,-1)\Rightarrow y\leq |x|\Rightarrow y\leq|-1|\Rightarrow y\leq 1\Rightarrow -1\leq1\\(2,-1)\Rightarrow y\leq |x|\Rightarrow y\leq|2|\Rightarrow y\leq 2\Rightarrow -1\leq2\\(2,1)\Rightarrow y\leq |x|\Rightarrow y\leq|2|\Rightarrow y\leq 2\Rightarrow 1\leq2\\$

You might be interested in

Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data

Bad White [126]

Answer:

The correct options are;

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A

Step-by-step explanation:

Here we have for City A

Maximum - Minimum = 10

Interquartile range =3

City B

Maximum - Minimum = 18.5

Interquartile range =9.5

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A.

7 0

3 years ago

Read 2 more answers

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

5 0

4 years ago

2 hundredths + 6 hundredths = ________ hundredths?

IRISSAK [1]

Answer:

8 hundredths

Step-by-step explanation:

2 + 6 = 8

8 0

3 years ago

Which point is an x-intercept of the quadratic function

daser333 [38]

The x-intercept of f(x) = (x + 6)(x - 3)
f(x) = 0 → (x + 6)(x - 3) = 0 → x + 6 =0 or x - 3 =0
x = -6 or x = 3
Therefore the x-intercepts are: (-6; 0) and (3; 0)
Your answer is (-6; 0)

8 0

4 years ago

Read 2 more answers

Arrange in order from greatest to least using the > sign : 8.067 / 8.006/8.06

Assoli18 [71]

Answer:

8.067>8.06>8.006

Step-by-step explanation:

Remember that what ever the number is after the decimal is the the greatest.

5 0

3 years ago