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ICE Princess25 [194]

3 years ago

12

Translate the sentence into an inequality. Twice the difference of a number and 7 is at most −20 . Use the variable y for the un

known number.

1 answer:

3241004551 [841]3 years ago

5 0

If the number is y then the inequality is
twice the difference of y and 7=2(y-7)
at most- 20=less than or equal to
2(y-7)≤-20

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For a hypothesis test of means, we believe the null hypothesis to be equal to 11 units. On a sample size of n = 25, the sample m

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i think maybe cna be C, im not sure, im in 7 but i try to help u

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3 years ago

Natali [406]

The statements that are true about the given points on the line are; Options B, C and D

<h3>How to identify points on a Plane?</h3>

A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.

Let us check each of the given options;

A) There are exactly two planes that contain points A, B, and F;

If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.

Since we can't make two planes with them, then the statement is false.

B) There is exactly one plane that contains points E, F, and B;

Due to the same reasoning in part A, the statement is true assuming the points are not collinear.

C) The line that can be drawn through points C and G would lie in plane X;

The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.

D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.

E) The only points that can lie on plane Y are points E and F.

This statement is false because infinite points can lie on a plane.

Read more about plane points at; brainly.com/question/11958640

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4 0

2 years ago

Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct resul

madreJ [45]

Answer:

$z=\frac{0.755 -0.8}{\sqrt{\frac{0.8(1-0.8)}{98}}}=-1.114$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of successes is not significantly less than 0.8 or 80%

Step-by-step explanation:

Data given and notation

n=98 represent the random sample taken

X=74 represent the number of cases correct

$\hat p=\frac{74}{98}=0.755$ estimated proportion of successes

$p_o=0.8$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

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 true proportion of successes is less than 0.8.:

Null hypothesis: $p\geq 0.8$

Alternative hypothesis: $p < 0.8$

When we conduct a proportion test we need to use the z statisitc, 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:

$z=\frac{0.755 -0.8}{\sqrt{\frac{0.8(1-0.8)}{98}}}=-1.114$

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of successes is not significantly less than 0.8 or 80%

5 0

3 years ago

4. A rectangle-shaped picture frame has a length of 4b cm and an area of 12ab² square cm. Find the width.

oksian1 [2.3K]

Answer:

$\boxed{\sf Width \ of \ the \ rectangle = 3ab}$

Given:

Length of the rectangle = 4b cm

Area of the rectangle = 12ab² square cm

To Find:

Width of the rectangle

Step-by-step explanation:

$\sf \implies Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \implies 12 a{b}^{2} = 4b \times Width \\ \\ \sf \implies Width \times 4b = 12a {b}^{2} \\ \\ \sf Divide \ both \ side \ by \ 4b: \\ \sf \implies Width \times \frac{4b}{4b} = \frac{12a {b}^{2} }{4b} \\ \\ \sf \frac{4b}{4b} = 1: \\ \sf \implies Width = \frac{12 a{b}^{2} }{4b} \\ \\ \sf \implies Width = \frac{3ab \times \cancel{4b}}{ \cancel{4b}} \\ \\ \sf \implies Width = 3ab$

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3 years ago

in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people

-Dominant- [34]

Answer:

A.) 119

420 * 0.85 is 357 and 357 * 1/3 is 119

Hope this helps ^^

5 0

3 years ago

Read 2 more answers