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3 years ago

6

According to the number line, what is the distance between points A and B?

2 answers:

olga_2 [115]3 years ago

6 0

In the given number line point A is on the left of 0 at number -2 on the number line while point B is on the right of 0 at number 12.

The distance of A to 0 is 2 units .Point B is at a distance of 12 units from 0. The distance between a number's place on the number line and 0 is called the number's [absolute value]

A and B are l-2 l+12= 2+12 =14 units apart from each other.

Distance AB= 12+2=14 units.

exis [7]3 years ago

4 0

14 Units is the Answer.

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if two positive integers P and Q can be expressed as p = a b square and q equals A cube B where A and B being prime numbers then

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P = ab^2
q = a^3 b

p = a * b * b
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Pairing the duplicates we have LCM = a*a*a*b*b = a^3 b^2 answer

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3 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

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Rounding up:

A sample of 997 is needed.

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3 years ago

Round the decimal number to the nearest hundredth 56192

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Answer:

0.5600

Step-by-step explanation:

The thousandths place is lower than 5 so then you round down to the nearest ten.

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3 years ago

What is the equation of the line with a slope of

Fofino [41]

It should be C on a Friday

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2 years ago

Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's asser

katrin [286]

Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY ( $m_{1}$ ) = $\frac{y-y'}{x-x'}$

= $\frac{-3+4}{2-0}$

( $m_{1}$ ) = $\frac{1}{2}$

Similarly, slope of XZ ( $m_{2}$ ) = $\frac{-6+4}{2-0}$

( $m_{2}$ ) = (-1)

$m_{1}\times m_{2}=-\frac{1}{2}$

Which should be (-1) if XY and XZ are perpendicular to each other.

Now we can say that XY and XZ are not perpendicular.

Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.

Option (4) will be the answer.

5 0

3 years ago