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zzz [600]
2 years ago
14

Draw a Venn diagram to illustrate this conditional: Cars are motor vehicles.

Mathematics
1 answer:
frutty [35]2 years ago
5 0
A Venn diagram is characterized by a group of circles to represent the classification of objects. For this condition, the circle representing the cars is found inside the circle representing motor vehicles. This is because all cars are motor vehicles. So cars is just a part of the motor vehicles along with other kinds. The Venn diagram is shown in the picture attached.

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What is the equation of the line that passes through the point (-5, 7)<br> and has a slope of –1/5?
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The equation is y = -1/5x + 6
8 0
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Divide 2/3 by 5<br><br> 2/15<br> 7 1/2<br> 3/10<br> 3 1/3
Zinaida [17]
7.5 is the answer for this questio
6 0
1 year ago
the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot do
Ivahew [28]

Answer:

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,

  • Determine the probability that Frank will win the contest,
  • Determine the probability that Frank will not win the contest'

Solution :

We know that,

Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

We have,

\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=\frac{2}{9}

So, total outcomes = 2 + 9 = 11,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability that Frank will win the contest = \frac{2}{11}

And,

The probability that Frank will win the contest = \frac{9}{11}

5 0
3 years ago
Read 2 more answers
Find all the zeros of the equation
lapo4ka [179]

Divide both sides by -3, and replace x^2 with y. Then

-3x^4+27x^2+1200=0\iff y^2-9y-400=0

Factorize the quadratic in y to get

y^2-9y-400=(y+16)(y-25)=0\implies y=-16,y=25

which in turn means

x^2=-16,x^2=25

But x^2\ge0 for all real x, so we can ignore the first solution. This leaves us with

x^2=25\implies x=\pm\sqrt{25}=\pm5

If we allow for any complex solution, then we can continue with the solution we ignored:

x^2=-16\implies x=\pm\sqrt{-16}=\pm i\sqrt{16}=\pm4i

6 0
3 years ago
Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Fac
skad [1K]

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)

6 0
3 years ago
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