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iogann1982 [59]
2 years ago
6

25 points | look at the image please

Mathematics
2 answers:
Anton [14]2 years ago
8 0

Answer:

Ok I look now what

Step-by-step explanation:

forsale [732]2 years ago
7 0
RidxitctocoycoycoycotxirxuezyeaywEuzirxoycpucypcitxurzue
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There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could pl
Dafna11 [192]

Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

6 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 8 meters cubed. Yolanda found the volume
LenKa [72]

Answer:

Yolanda should have found the volume by multiplying 8 by 2/3.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Given: circle k(O), m∠P=95°, m∠J=110°, m∠LK=125°<br> Find: m∠PJ
IRINA_888 [86]

Answer:

The measure of the arc PJ is 75\°

Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

so

m

we have

m

substitute

m

m

step 2

Find the measure of arc KJ

we know that

The inscribed angle measures half that of the arc comprising

so

m

substitute the values

95\°=\frac{1}{2}(125\°+arc\ KJ)

190\°=(125\°+arc\ KJ)

arc\ KJ=190\°-125\°=65\°

step 3

Find the measure of arc PJ

we know that

The inscribed angle measures half that of the arc comprising

so

m

substitute the values

70\°=\frac{1}{2}(65\°+arc\ PJ)

140\°=(65\°+arc\ PJ)

arc\ PJ=140\°-65\°=75\°

5 0
3 years ago
Identify the equation in standard form of the line that passes through the point (6,−8) and has the slope of −2 .
Arturiano [62]

Answer:

y = -2x + 4

Step-by-step explanation:

y = -2x + b

-8 = -2(6) + b

-8 = -12 + b

4 = b

6 0
3 years ago
Expand and evaluate the power.
Alika [10]
Hi there, 2.5 to the third power=2.5*2.5*2.5=15.625, Therefore, the answer is D. 15.625
6 0
3 years ago
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