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yanalaym [24]
2 years ago
6

The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five

years.
A pie chart titled Performances. Titus Andronicus, 25 percent; Henry I V, 13 percent; Twelfth Night, 17 percent; Othellow, 19 percent; The Tempest, 10 percent; Other, 16 percent.
If the company has performed Twelfth Night 25 times in the past five years, how many times have they performed in total? Round to the nearest whole performance, if necessary.
a.
42
b.
50
c.
147
d.
221

Mathematics
2 answers:
Rufina [12.5K]2 years ago
7 0

Answer:

(C)147

Step-by-step explanation:

Percentage of Twelfth Night= 17%

The company has performed Twelfth Night 25 times in the past five years

Let the total number of performance over the past five years=x

Therefore:

17% of x=25

0.17x=25

x=25/0.17

x=147.06

x=147 (to the nearest whole performance).

The company has performed a total of 147 performances.

<u>The correct option is C</u>

<u />

kakasveta [241]2 years ago
6 0

Answer:

The answer is C on edge 2020.

Step-by-step explanation:

You might be interested in
Which of the following is the estimated sum of sixty-five and one-hundred-fifty using compatible numbers?A.200B.210C.220D.230
posledela
Compatible numbers are those closest to these numbers- 65 rounded to the nearest tens is 70, and adding that to 150 we get B. 210.
---
Hope this helps!
6 0
2 years ago
21. Given directed line segment WV , find the coordinates of R
Jobisdone [24]

Answer:

R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)

Step-by-step explanation:

Let the coordinate of the points W, V and R are (x_1,y_1), (x_2,y_2), and (x_s,y_s)respectively.

The coordinate of the section point, (x_s,y_s), which divides the line joining the two points (x_1,y_1) and (x_2,y_2) in the ration m:n is

x_s=\frac {nx_1+mx_2}{m+n} and

y_s=\frac {ny_1+my_2}{m+n}.

The given ration is, m:n=3:4

R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)

=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right).

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

6 0
2 years ago
In a certain community, eight percent of all adults over age 50 have diabetes. If a health service in this community correctly d
____ [38]

Complete question is;

In a certain community, 8% of all people above 50 years of age have diabetes. A health service in this community correctly diagnoses 95% of all person with diabetes as having the disease, and incorrectly diagnoses 10% of all person without diabetes as having the disease. Find the probability that a person randomly selected from among all people of age above 50 and diagnosed by the health service as having diabetes actually has the disease.

Answer:

P(has diabetes | positive) = 0.442

Step-by-step explanation:

Probability of having diabetes and being positive is;

P(positive & has diabetes) = P(has diabetes) × P(positive | has diabetes)

We are told 8% or 0.08 have diabetes and there's a correct diagnosis of 95% of all the persons with diabetes having the disease.

Thus;

P(positive & has diabetes) = 0.08 × 0.95 = 0.076

P(negative & has diabetes) = P(has diabetes) × (1 –P(positive | has diabetes)) = 0.08 × (1 - 0.95)

P(negative & has diabetes) = 0.004

P(positive & no diabetes) = P(no diabetes) × P(positive | no diabetes)

We are told that there is an incorrect diagnoses of 10% of all persons without diabetes as having the disease

Thus;

P(positive & no diabetes) = 0.92 × 0.1 = 0.092

P(negative &no diabetes) =P(no diabetes) × (1 –P(positive | no diabetes)) = 0.92 × (1 - 0.1)

P(negative &no diabetes) = 0.828

Probability that a person selected having diabetes actually has the disease is;

P(has diabetes | positive) =P(positive & has diabetes) / P(positive)

P(positive) = 0.08 + P(positive & no diabetes)

P(positive) = 0.08 + 0.092 = 0.172

P(has diabetes | positive) = 0.076/0.172 = 0.442

8 0
2 years ago
What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po
kolbaska11 [484]
Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
    n = total sample size

Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>
7 0
2 years ago
^ Casey was able to map line segment UV onto line segment ST using a translation and a rotation.
yarga [219]

Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

4 0
2 years ago
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