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3 years ago

Find the value of this expression

Mathematics

1 answer:

WINSTONCH [101]3 years ago

5 0

Answer:

-5/4

Step-by-step explanation:

Im guessing you were too lazy to do this on your own but its really self explanatory.

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Geometry help please!!

Nostrana [21]

Answer: 13

Step-by-step explanation:

Equilateral triangle means that all sides are equal

Soo

3x + 1 must be equal to 5x - 9

3x + 1 = 5x - 9

-2x = -10

x = 5

Substitute x as 5 into either side value

3(5) + 1 = 15 + 1 = 16

So, all sides equal 16

Which means that y + 3 also equals 16

y + 3 = 16

y = 13

7 0

3 years ago

University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some studen

ira [324]

Answer:

A. 0.1

B. 0.8

C. 0.5

Step-by-step explanation:

Given:

P(Science) = 0.3

P(Arts) = 0.6

P(none) = 0.2

From the above, it is understood that the events are independently events; meaning that the probability that a students gets a Bachelor of Science degree does not affect the probability of the same student getting a Bachelor of Arts degree.

A. The probability that a student gets a Bachelor of Science and Bachelor of Arts degree

Let P(Arts and Science) = the probability that a student gets a Bachelor of Arts degree and Bachelor of Science degree

For independent events,

P(A) + P(B) - P(A and B) + P(none)= 1

If we translate the above formula to suit our needs, we have something like this

P(Science) + P(Arts) - P(Arts and Science) + P(none) = 1

P(Arts) + P(Science) - P(Arts and Science) + P(none) = 1

From this, we have

0.3 + 0.6 - P(Arts and Science) + 0.2 = 1

1.1 - P(Arts and Science) = 1

-P(Arts and Science) = 1 - 1.1

-P(Arts and Science) = -0.1

P(Arts and Science) = 0.1

B. The probability that a student gets a Bachelor of Science or Bachelor of Arts degree

For independent events

P(A or B) = P(A) + P(B) - P(A and B)

So, P(Arts or Science) = P(Arts) + P(Science) - P(Arts and Science)

P(Arts or Science) = 0.3 + 0.6 - 0.1

P(Arts or Science) = 0.8

C. The probability that a student gets only Bachelor of Arts

P(A only) = P(A) - P(A and B)

P(Arts) = P(Arts) - P(Arts and Science)

P(Arts) = 0.6 - 0.1

P(Arts) = 0.5

6 0

4 years ago

Multiply 532 and 734 using natural logarithms

Amiraneli [1.4K]

I think the sander is 102 because Blake’s

6 0

3 years ago

The table shows the relationship between the number of drops of food color added to different number of cups of cake frosting:

stepladder [879]

I'd say that they are all equivalent because when you divided all of them it equals each other.

2:6 = 1/3

3:9 = 1/3

4:12 = 1/3

6 0

2 years ago

Read 2 more answers

14. The figure shows a slice of an apple pie in the shape of a sector of a circle with centre O and radius 8cm. A cut is made al

Strike441 [17]

Step-by-step explanation:

(i) Using the law of cosines, we can find that

$cos(O) = \frac{8^{2}+8^{2} - 7^{2}}{8*8*2}$ ≈ 0.62, so O ≈ 0.9

(ii) Since the whole pie has 2π radians (or 360 degrees), we can divide 0.9 by 2π to get around 6.9 slices from the pie

(iii) The area of the shaded segment can be found by finding sector OAB and subtracting triangle OAB from that. Sector OAB can be found by finding the area of the pie (π*8², since 8 is the radius) and dividing that by 6.9, so we get 64π/6.9 ≈ 29. Then, the area of the triangle is √p(p-a)(p-b)(p-c), with p being the perimeter and a, b, and c being the sides. Plugging 7, 8, and 8 in, we get 25.1781 as our area, so the difference is around 3.8

4 0

3 years ago