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cupoosta [38]
2 years ago
15

If events A and B are independent, P(A) = 0.62, and P(

Mathematics
1 answer:
professor190 [17]2 years ago
5 0

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

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the answer is 8.83 inches per piece, the 2 whole numbers it lies between are 8 and 9

Step-by-step explanation:

53/6= 8.83

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One side of a square flower bed is 21 feet long. How many plants are needed if they are to be spaced 21 inches apart around the
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48 plants.

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On one side there would be  21 * 12  inches / 21 inches =- 12 plants.

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How do you solve #6?
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You seem to already see that you need to multiple x with the other numbers. When you start off solving it you'd get.. x-6=x2(to the power of) + 6x .    Then just move the equation over from the left to the right. and solve, I've got -6+x2(power of 2)+7x, that's it
7 0
3 years ago
Find the value of the letter in each of the following. Give your answers to 1 d.p.
Damm [24]

Answer:

a) z = 70.5°

b) s = 83.6°

c) x = 0.7cm

Step-by-step explanation:

We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.

a) We are given the following values

Hypotenuse = 21 inches

The triangle is divided into two to give us a right angle triangle

The adjacent side = 14inches/2 = 7 inches

We are to find Angle z

The Trigonometric function we are using is Cosine

cos z = Adjacent / Hypotenuse

cos z = 7/21

cos z = 1/3

z = arc cos(1/3)

z = 70.528779366°

To 1 decimal place

z = 70.5°

b) We are given the following values

Hypotenuse = 12 cm

The triangle is divided into two to give us a right angle triangle

The opposite side = 16cm/2 = 8 cm

We are to find Angle s, but it is split into 2

So we represent the half as x

The Trigonometric function we are using is Sine

sin x = Opposite/ Hypotenuse

sin x = 8/12

sin x = 2/3

x = arc sin(2/3)

x = 41.810314896°

Remember in the question, we are to find s.

s = x° × 2

s = 41.810314896 × 2

s = 83.620629792

To 1 decimal place

s = 83.6°

c) From the above diagram, we are to find the Opposite side represented by x

Our triangle is split into two equal halves

Adjacent side = 2cm

Angle θ = 36°/2 = 18°

We are using Trigonometric function tan to solve for question c

tan θ = Opposite/ Adjacent

tan 18° = Opposite/ 2

Cross Multiply = tan 18° × 2

0.3249196962 × 2

= 0.726542528cm

To one decimal place,

x = 0.7cm

3 0
3 years ago
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