All categories

2 years ago

Point F is on circle C. What is the length of line segment GF? 12.5 units 15.0 units 17.5 units 20.0 units

1 answer:

7 0

The answer:
According to the image, the length of line segment GF can be found with
GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5

therefore, GF= GC +CF=12.5+7.5=20

so the answer is 20.0 units

You might be interested in

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1

BigorU [14]

Answer:

a: Sample mean: 20, Sample standard deviation: 1.732

b: 19.13 <µ < 20.87

c: 18.84< µ < 21.16

d: as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a: Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

3 0

2 years ago

1. Find three rational numbers between 7/12 and 7/11

Sonbull [250]

Step-by-step explanation:

In this problem, we need to find three rational numbers between 7/12 and 7/11.

First rational no :

$c=\dfrac{\dfrac{7}{12}+\dfrac{7}{11}}{2}\\\\c=\dfrac{161}{264}$

Second rational no :

$d=\dfrac{\dfrac{7}{12}+\dfrac{161}{254}}{2}\\\\d=\dfrac{1855}{3048}$

5 0

2 years ago

Given: m∠ATB = 63°, arc AB = 115° Find: arc DC

Flura [38]

Answer:

The measure of arc DC is $11\°$

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

$m\angle ATB=\frac{1}{2}[arc\ AB+arc\ DC]$

substitute the given values

$63\°=\frac{1}{2}[115\°+arc\ DC]$

$126\°=[115\°+arc\ DC]$

$arc\ DC=126\°-115\°=11\°$

6 0

2 years ago

A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-

sergiy2304 [10]

Answer:

The t-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

$CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}$

Here,

$\bar x_{d}$ = sample mean of the difference,

$s_{d}$ = sample standard deviation of the difference,

n = sample size (both samples are of same size).

$t_{\alpha/2, (n-1)}$ = critical value of t

(n - 1) = degrees of freedom

The information provided is:

n = 5

Confidence level = 95%

The critical value of t is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}$

$=t_{0.025, 4}$

$=2.776$

*Use a t-table for the critical value of t.

Thus, the t-value used for the 95% confidence interval of paired data is 2.776.

4 0

2 years ago

The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has

pishuonlain [190]

The correct answer is:

x³ = 27/125; and

x = 3/5.

Explanation:

Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us

x³.

The current voltage is 27/125; this gives us the equation

x³ = 27/125.

To solve this, take the cubed root of both sides:

∛(x³) = ∛(27/125)

x = (∛27)/(∛125)

x = (∛(3*3*3))/(∛(5*5*5))

x = 3/5

7 0

2 years ago

Read 2 more answers