Find the equation for the inverse relation of y = x2 +7.

Which statements are true about the graph of the system of linear inequalities? Check all that apply. y > 3x – 4 y < x + 1

romanna [79]

Answer:

The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < x + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.

Step-by-step explanation:

y > ... means the shading will be above the corresponding line.

y < ... means the shading will be below the corresponding line.

These lines have different slopes, so the solution spaces must overlap, hence there must be solutions to the system.

_____

Comment on last choice

It isn't clear exactly what is intended by the last offered statement. Both of the listed points are in the solution space of y > 3x-4. Neither point is in the solution space of y < x+1.

Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.

The y-intercepts of the two boundary lines are (0, 1) and (0, -4). Neither of these points is in the solution space of the system of inequalities.

3 0

3 years ago

Read 2 more answers

The null and alternative hypotheses for a population proportion, as well as the sample results, are given. Use StatKey or other

zloy xaker [14]

Answer:

$z=\frac{0.38 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=-2.4$

$p_v =P(z$

And we can use the following excel code to find it:

"=NORM.DIST(-2.4,0,1,TRUE)"

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.38$ estimated proportion of interesst

$p_o=0.5$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is lower than 0.5:

Null hypothesis: $p \geq 0.5$

Alternative hypothesis: $p < 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.38 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=-2.4$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

And we can use the following excel code to find it:

"=NORM.DIST(-2.4,0,1,TRUE)"

4 0

3 years ago

Is a ratio a rate always, sometimes, or never?

Shalnov [3]

A ratio is a statement of how two numbers compare so never

7 0

3 years ago

PLEASE HELPPPPPP FINDING CIRCUMFERENCE AND AREA OF A CIRCLE

11111nata11111 [884]

Answer:

The circumference of the circle is 28.26 m.

The area of the circle is 63.585 $m^{2}$ .

Step-by-step explanation:

To solve for the circumference of the circle, start by using the circumference formula of a circle, which is $C= 2\pi r$ . However, 3.14 will be used instead of $(\pi)$ for this formula.

First, the radius of the circle needs to be found. To find the radius of the circle, divide the diameter by 2 because the radius equals half of the diameter. The radius is 9 m divided by 2, which equals 4.5 m.

Next, plug in the radius into the formula, and the formula will look like $C=(2)(\pi )(4.5 m)$ . Then, solve the equation, and the answer will be 28.26 m.

To solve for the area of the circle, start by using the area formula of a circle, which is $A=\pi r^{2}$ . However, 3.14 will be used instead of $(\pi)$ for this formula.

For the area, plug the radius into the formula, and the formula will look like $A= (3.14)(4.5m)^{2}$ . Then, solve the equation, and the answer will be 63.585 $m^{2}$ .

3 0

3 years ago

PLEASEE HELP MEEE

Thepotemich [5.8K]

The task is to find the original coordinates with the transformed ones given, so you have to apply the inverse of the stated transformations.

Q"( 6,-1),R"(0,-1) and S"(0,-7)
-> rotate 90 anti-clockwise
Q'(1,6), R'(1,0),S'(7,0)
-> translate left by 7 units
Q(-6,6), R(-6,0), S(0,0)

3 0

4 years ago