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Tems11 [23]
3 years ago
9

What’s the correct answer for this question?

Mathematics
2 answers:
julsineya [31]3 years ago
8 0

Answer:

\frac{11}{24}

Mars2501 [29]3 years ago
6 0

Answer:

D. 11/24

Step-by-step explanation:

Total students' reading preferences = 240

Using electronic device = 110

Probability of having electronic device = 110/240

= 11/24

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If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
Five years after 650 high school seniors graduated, 400 had college degree and 310 were married. Half of the students with a col
nalin [4]
I THINK THE ANSWER IS -70 I THINK

3 0
3 years ago
A string of holiday lights contain 20 bulbs. the bulbs are wired in series, so that if any bulb fails, the whole string will go
sergij07 [2.7K]
This is equal to the probability that no light fail.  Probability of  one light not failing = 0.98.

P(no light fails) = 0.98^20  =   0.67  or 67%   to nearest percent.
5 0
3 years ago
A rope is swinging In such a way that the length of the arc traced by a knot at its bottom end is
Sati [7]

Answer:

  13.6 ft

Step-by-step explanation:

The geometric sequence of arc lengths can be described by ...

  f(n) = a·b^n

We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):

  20 = a·b^3

  12 = a·b^7

Then ...

  12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5

We want the 6th term, which we can get from the 7th term by multiplying by b^-1.

  b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622

Then the 6th swing had an arc length of ...

  f(6) = f(7)·b^-1

  f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft

3 0
2 years ago
1. Five more than a number is eight.
kolezko [41]

Answer

<u>3</u>, the number is 3

Step-by-step explanation:

work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.

4 0
3 years ago
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