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Illusion [34]
3 years ago
9

What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical

number?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

3n-5=8n+4

Step-by-step explanation:

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64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number
9966 [12]

Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642

P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649

P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115

Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

C) P(x < 4) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(x < 4) = 0.0305

5 0
3 years ago
Can someone explain the formula for the area of a pentagon, and the formula for the length of an arc of a portion of a circle? P
RSB [31]
So a pentagon is constructed by five identical triangles, that's why you can find the area of one triangle and multiply it with 5:
A_pentagon=A_triangle*5
To find the area of a triangle you must use tangens.
You can watch this for more on that on youtube. 

For the length of an arc or a portion of a circle you can find it using: 
arc lenght = 2π*r(A/360), where A=angle. 
So if you know radians, then 2π is a whole circle. And to calculate for the specific circle you have to use the radius. That's why you multiply with radius, which is the only difference between any two different circles. you then multiply with the  part of the circle that you want to find the lenght for, which is A/360 (because there are 360° in a circle)

I hope that helped. 


4 0
3 years ago
2/4 plus 1/2. Please help
Rus_ich [418]

Answer:

1

Step-by-step explanation:

2/4 + 1/2 = 1

Hope this helps you!

4 0
3 years ago
Read 2 more answers
In circle A shown below, m is 67° and m is 74°. <br> What is m∡FDE?
deff fn [24]
Use this theorem: in a circle, the measure of an angle formed by two chords that intersect inside the circle is half the sum of the arcs formed by the chords.

In this case the sum of the arcs formed by the chords is 67° + 74° = 141 °, then the half is 141° / 2 = 70.5°.

Answer: 70.5°
8 0
3 years ago
PLEASE HURRYYYYYY
BlackZzzverrR [31]
C) r = T + 25.3 because you isolate the r variable
8 0
3 years ago
Read 2 more answers
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