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3 years ago

What is the difference between midpoint and perpendicular bisector?

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

8 0

Answer:

a midpoint is a point that is in the middle of a line or segment. a bisector is a LINE that intersects in the middle of a line or segment.

morpeh [17]3 years ago

7 0

Answer:The midpoint can be any middle part of a line, and the perpendicular Bisector is can only be 90 degrees.

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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

3 0

3 years ago

F(x) = 1,200x + 400. What is the meaning of the y intercept of the function ?

vesna_86 [32]

Answer:

see below

Step-by-step explanation:

F(x) = 1,200x + 400

The y intercept is the value of the function when the x value is o

When x = 0 the y value is 400

It is the initial value of the function

8 0

3 years ago

Select the correct answer. Which expression represents the series ? 1+5+25+125+625? creating and solving formulas for geometric

Art [367]

Answer:

The given series can be written as

∑ (5)^i

i = 0

We know that the series is

1+5+25+125+625

This is equal to

(5)^0 + (5)^1 + (5)^2 + (5)^3 + (5)^4

Thus,

For i from 0 to 4,

We get the general representation.

3 0

3 years ago

P(-3,-5) and Q(1, -3) represent points in a coordinate<br> plane. Find the midpoint of PQ.

Karolina [17]

Step by step explanation :

The two points are ,

P( -3 , -5)
Q (1 , -3)

We can find the midpoint by finding the median of x coordinate and y coordinate .

$\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}$

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3 years ago

Ellen Newman has an income of $18,150 and claims 5 exemptions. The amount allowed for each exemption is $1,000. Her state tax is

Vanyuwa [196]

State tax is computed by first subtracting the amount of exemptions (5*$1000=$5000) from annual income and then multiplying it by the state tax.

($18150-$5000)*5%= $657.50

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3 years ago