The number p is 20 more than the number q . using algebra write the relationship between p and q .

Answers

Answer 1

Answer: From what we know, p is 20 more than q. So, we can assume p = 20 + q. Q can also be found by subtracting 20 from both sides. So, q = p - 20.

Hope this helped!

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Approximately 4% of silicon wafers produced by a manufacturer have fewer than two large flaws. If Y, the number of flaws per wafer , has a Poisson distribution, what proportion of wafer have more than five large flaws?

Answers

Y ~ Po (λ)

P(Y < 2) = P(Y ≤ 1) = 0.04

Plug into the pdf for Po(λ), and solve for λ

After that, use your answer to find P(Y > 5)

HIJK is definitely a parallelogram? True or False.

Answers

HIJK has parallel sides and also congruent opposite angles, therefore, it is TRUE that it is a parallelogram.

What are Some Properties of a Parallelogram?

In a parallelogram, the opposite angles are always congruent.

Opposite sides are equal in length and are also parallel to each other.

Quadrilateral HIJK has opposite angles that are congruent and also has sides that are parallel. Therefore, it is true that it is a parallelogram.

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ9

Is 8/6 greater than or less than 11/12

Answers

$(8)/(6)\ \ \ \ and\ \ \ \ (11)/(12)\ \ \ \ \ | make\ a\ common\ denominator\ 12\n\n(16)/(12)\ \ \ and\ \ \ \ (11)/(12)\n\nNow\ it\ is\ visible\ that\ (16)/(12) \ >\ (11)/(12)\ so\ (8)/(6) \ >\ (11)/(12)\$

Greater because 8/6 is equal to a Whole number well more than a Whole number and 11/12 is less than aWhole number

1. Consider the right triangle ABC given below. a. Find the length of side b to two decimal places.
b. Find the length of side a to two decimal places in three different ways.

2. Solve the triangles below.

Answers

#1)
A) b = 10.57
B) a = 22.66

#2)
A) a = 1.35 (across from the 15° angle)
∠C = 50.07° (the angle at the top of the triangle)
∠B = 114.93°

B) ∠A = 83°
b = 10.77 (across from angle B)
a = 15.11 (across from angle A)

Explanation
#1)
A) Since b is across from the 25° angle and we have the hypotenuse, we have the information for the sine ratio (opposite/hypotenuse):
sin 25 = b/25

Multiply both sides by 25:
25*sin 25 = (b/25)*25
25*sin 25 = b
10.57 = b

B) We will first use the cosine ratio. Side a is the side adjacent to the angle and we have the hypotenuse, and the cosine ratio is adjacent/hypotenuse:
cos 25 = a/25

Multiply both sides by 25:
25*cos 25 = (a/25)*25
25*cos 25 = a
22.66 = a

Now we will use the Pythagorean theorem. We know from part a that side b = 10.57, and the figure has a hypotenuse of 25:
a²+(10.57)² = 25²
a² + 111.7249 = 625

Subtract 111.7249 from both sides:
a²+111.7249-111.7249=625-111.7249
a² = 513.2751

Take the square root of both sides:
√a² = √513.2751
a = 22.66

#2)
A) Let A be the 15° angle, B be the angle to the right and C be the angle at the top of the triangle. This means side a is across from angle A, side B is across from angle B, and side c is across from angle C.

Using the law of cosines,
a²=3²+4²-2(3)(4)cos(15)
a²=9+16-24cos(15)
a²=25-24cos(15)
a²=1.8178

Take the square root of both sides:
√a² = √1.8178
a = 1.3483≈1.35

Now we can use the Law of Sines to find angle C:
sin 15/1.35 = sin C/4

Cross multiply:
4*sin 15 = 1.35* sin C

Divide both sides by 1.35:
(4*sin 15)/1.35 = (1.35*sin C)/1.35
(4*sin 15)/1.35 = sin C

Take the inverse sine of both sides:
sin⁻¹((4*sin 15)/1.35) = sin⁻¹(sin C)
sin⁻¹((4*sin 15)/1.35) = C
50.07 = C

To find angle B, add angle A and angle C together and subtract from 180:
B=180-(50.07+15) = 180-65.07 = 114.93

B) To find angle A, add angle B and angle C together and subtract from 180:
180-(52+45) = 180-97 = 83

Now use the Law of Sines to find side b (across from angle B):
sin 52/12 = sin 45/b

Cross multiply:
b*sin 52 = 12*sin 45

Divide both sides by sin 52:
(b*sin 52)/(sin 52) = (12*sin 45)/(sin 52)
b = 10.77

Find side a using the Law of Sines:
sin 83/a = sin 52/12

Cross multiply:
12*sin 83 = a*sin 52

Divide both sides by sin 52:
(12*sin 83)/(sin 52) = (a*sin 52)/(sin 52)
15.11 = a

Muriel says she has written a system of two linear equationsat has an infinite number of solutions One of the equationsof the system is 3y 2x 9. Which could be the otherequation?

Answers

The equation of the line is
3y = 2x - 9

For the system to have infinite number of solutions, the equations of the lines must be equivalent i.e., the equations will result to the same equation if the coefficient of one variable in an equation is made equal to the coefficient of the same variable to the other equation. So,

The possible answers are
y = 2/3 x - 3
3/2 y = x - 9/2

Or any multiples or rearrangements of either equations.

Answer:

y=2/3x-3

Step-by-step explanation:

Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?(Please show work too :) )

Answers

Answer:

$38.16

Step-by-step explanation:

12*3=36

36*0.06=2.16

36+2.16=38.16

Hope this helps! :)

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