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1 year ago

Which rule is true for the horizontal number line?

Mathematics

1 answer:

krek1111 [17]1 year ago

7 0

The correct statement is B, D and E

<h3>What is number line?</h3>

Number lines are the horizontal straight lines in which the integers are placed in equal intervals.

The complete question is

Which rule is true for the horizontal number line?

A. All negative numbers are located to the right of zero.

B. Negative numbers are arranged in a descending order from left to right.

C. Positive numbers are arranged in a descending order from left to right.

D. All positive numbers are located to the right of zero.

E. Negative numbers are arranged in an ascending order from right to left.

All negative numbers are located to the left of zero.

Negative numbers are arranged in a descending order from left to right.

Positive numbers are arranged in a ascending order from left to right.

All positive numbers are located to the right of zero.

Negative numbers are arranged in an ascending order from right to left.

Learn more about number line here:

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

What is the salesperson's commission on a<br> $1300 sale if the commission rate is 10%?

Radda [10]

Answer:

$130

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the x-intercept of the line:<br><br>8x - 4y = -24

sertanlavr [38]

X-intercept = (-3,0)

6 0

3 years ago

9. Write an equation for the line that is parallel to the given line and that passes through the given point.

timurjin [86]

Answer:

y -11 = 2(x -3)

Step-by-step explanation:

The slope of the given line is the x-coefficient: 2. The parallel line will have the same slope.

When you know the slope and a point on the line, it is convenient to use the point-slope form of the equation of a line:

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Your line's equation is ...

y -11 = 2(x -3)

7 0

2 years ago

Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C

Lesechka [4]

Answer:

Solution : $-\frac{3}{4}-\frac{3}{4}i$

Step-by-step explanation:

$-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]$

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

$\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}$