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dimaraw [331]
2 years ago
11

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠

QRO? (6 points)
Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q

m∠ QPO + (x + 16)° + (6x − 4)° = 360°
m∠ QPO = (x + 16)° + (6x − 4)°
m∠ QPO + (2x + 16)° = 180°
m∠ QPO = (6x − 4)° + (2x + 16)°
Mathematics
1 answer:
krek1111 [17]2 years ago
6 0

Answer:

Step-by-step explanation:

m∠ QPO + (x + 16)° + (6x − 4)° = 360°

m∠ QPO = (x + 16)° + (6x − 4)°

m∠ QPO + (2x + 16)° = 180°

m∠ QPO = (6x − 4)° + (2x + 16)°

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Determine whether the series is convergent or divergent. 1 4 + 3 16 + 1 64 + 3 256 + 1 1024 + 3 4096 +
Alla [95]

This series converges.

S=\dfrac14+\dfrac3{16}+\dfrac1{64}+\dfrac3{256}+\dfrac1{1024}+\cdots

S=\left(\dfrac34+\dfrac3{16}+\dfrac3{64}+\dfrac3{256}+\dfrac3{1024}+\cdots\right)-\left(\dfrac12+\dfrac1{32}+\dfrac1{512}+\cdots\right)

S=\displaystyle\sum_{n=1}^\infty\frac3{4^n}-\sum_{n=0}^\infty\frac1{2^{4n+1}}

Both component series are geometric with ratios less than 1, so they both converge.

\displaystyle\sum_{n=1}^\infty\frac3{4^n}=1

\displaystyle\sum_{n=0}^\infty\frac1{2^{4n+1}}=\frac12\sum_{n=0}^\infty\frac1{16^n}=\frac8{15}

So we have

S=\dfrac7{15}

8 0
3 years ago
A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12 years. The average age of all ho
frosja888 [35]

Answer:

the probability of that the sample mean will have 12year or larger is 0.4013, .

Step-by-step explanation:

The probability that a sample mean is 12 or larger for a sample from the horse population is:

Given,

N, number of sample =60 horses

x₁, variate mean= 12 years.

x, mean age = 10 years.

σ, standard deviation = 8 years.

To calculate for the probability, we are going to use the formula of normal distribution.

normal distribution is calculated by:

z=[ x₁−x]/ σ

where z is called the normal standard variate,

x₁ is the value of the variable,

x is the mean value of the distribution and

σ is the standard deviation of the distribution.

The z-value corresponding to 12year is

z=[ x₁−x]/ σ

z=[12 −10]/ 8 =2/8=0.25

we will use the table of normal distribution to find the corresponding z value.

From Table of z, the area corresponding to a z-value of 0.25 is 0.0987.

The total area under the standardized normal curve is unity and since the curve is symmetrical,

The area to the right of the z=0.25 ordinate is 0.5000−0.0987= 0.4013.

Thus, the probability of the sample mean is 0.4013, for 60 horses, it is likely that 60 * 0.4013 =24.08 = 24 horses will have 12year or larger.

7 0
3 years ago
What is the measure of ZA?<br> А,<br> [?] degrees<br> 45°<br> &gt;c<br> B<br> С
julia-pushkina [17]

Answer:

∠A = 45°

Step-by-step explanation:

◺ABC is a right angled triangle.

Sum of interior angles in a triangles is 180.

∠A + ∠B + ∠C = 180°

∠A + 90° + 45° = 180°

∠A = ( 180 - 90 - 45 )°

∠A = 45°

Note : -

□ is 90°

7 0
2 years ago
Currently, professional men's basketball players score an average of 18.2 points per game with a standard deviation of 4.5 point
Dennis_Churaev [7]

Answer:

The 1990s basketball player did better than the current basketball player because his z-score is higher.

Step-by-step explanation:

i just took the test

8 0
3 years ago
Read 2 more answers
The area of the triangle below is 2/5 square foot. What is the length, in feet, of the base of the triangle? Area = bh/2
Gnesinka [82]

Answer:

2/3 feet.

Step-by-step explanation:

We have to calculate the length of the base of the triangle, in this case they give us the area of the triangle but still it is necessary to know the height of the triangle to calculate the length of the base, otherwise it would be impossible.

I have found an image where the graph is, which I will attach where you can see that the height is 6/5 ft. The area of the triangle is:

A = b * h / 2

solved for b which is the length of the base of the triangle would be:

b = 2 * A / h

replacing:

b = 2 * (2/5) / (6/5)

b = 20/30

b = 2/3

Which means that the length of the base of that triangle is 2/3 feet.

3 0
3 years ago
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