Can a triangle have side lengths 3,13, and 7

1 answer:

6 0

No. This is because the two smaller lengths must be greater than the largest length (7+3=10) this is less than 13 meaning the triangle won’t work

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in a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the hono

Alexus [3.1K]

Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job

We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)

We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability

P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate

Convert this to a percentage to get roughly 36.67% and this rounds to 37%

Final Answer: 37%

4 0

2 years ago

When AB=3x+8 and GJ=2x+24 what is AB?

valina [46]

Answer:

AB= GJ ➗2

2x+24➗2= x+12

i'm not sure

4 0

2 years ago

What is the exact area of a circle with a radius of 12 ft

lisov135 [29]

Answer:

The area is approximately 453 ft²

Step-by-step explanation:

Area of a circle = $\pi r^{2}$

If $\pi$ = 22/7, and r = 12 ft

Area = (22/7)×12²

= 3.143*144

= 452.592 ft²

≈ 453 ft²

5 0

3 years ago

Simplify expression:<br> 3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

lyudmila [28]

$3^{-(4a+1)}-3^{-(4a-1)} + 3^{-4a} =3^{-4a-1 }-3^{- 4a+1 } + 3^{-4a}=\\ \\=3^{ -4a }*3^{-1}-3^{ - 4a }*3^1 + 3^{-4a} =3^{-4a}(3^{-1}-3+1)=3^{ -4a }*(\frac{1}{3}-2)=\\ \\=3^{ -4a }*(-1\frac{2}{3})=3^{ -4a }*(-\frac{5}{3})=3^{ -4a }*(-5)*\frac{1}{3} =-5 *3^{ -4a }*3^{-1}=\\ \\ =-5 *3^{ -4a +(-1)}=-5 *3^{ -4a -1}$

3 0

3 years ago

What are the approximate values of the non-integral roots of the polynomial equation?

irga5000 [103]

Answer:

-4, -2, -3-2i, -3+2i

Step-by-step explanation:

The of the polynomial equation are those values of x, for which f(x)=0.

Consider equation

$f(x)=0\\ \\(x^2+6x+8)(x^2+6x+13)=0$