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Olenka [21]
3 years ago
6

Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru

ctors, and 4 science instructors. If an instructor is selected, find the probability of getting a science instructor or a math instructor.
Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

11/19

Step-by-step explanation:

Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.

The probability of selecting a science instructor is 4/19

The probability of selecting a math instructor is 7/19

The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

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Write y=2x^2+12x+14 In vertex form
ratelena [41]

Answer:

\large\boxed{y=2(x+3)^2-6}

Step-by-step explanation:

The vertex form of a parabola f(x) = ax² + bx + c:

y=a(x-h)^2+k

(h, k) - vertex

h=\dfrac{-b}{2a}\\\\k=f(h)

We have the equation:

y=2x^2+12x+14\\\\a=2,\ b=12,\ c=14\\\\h=\dfrac{-12}{2(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+12=2(9)-36+12=18-36+12=-6

Finally:

y=2(x-(-3))^2+(-6)=2(x+3)^2-6

7 0
3 years ago
F (n)=3+4 (n-1). find f(5) and f(6)
Rasek [7]
3+16=19,

3+20=23

So the correct answer would be 19 and 23
5 0
3 years ago
The Rally family has 3 types of pets: cats, dogs, and horses. Their total number of pets is 12. The ratio of cats to dogs to hor
ss7ja [257]

Answer:

4

I multiplyed them all by two and then added them to see f it equaled 12 and it did

7 0
3 years ago
a fish tank is 50 cm long, 30 cm wide, and 40 cm high. It contains water up to a height of 28 cm. How many more cubic centimeter
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Surface area = 50 x 30 = 150
Per cm of height 150 cubic cm needed
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6 0
3 years ago
A mix for 5 servings of instant potatoes requires 1 1/4 cups of water. The amount of water needed to make 11 servings is?
Vladimir [108]
2.75 cups or 2 3/4 cup
6 0
3 years ago
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