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4vir4ik [10]
2 years ago
6

bag contains 15 marbles numbered from 1 to 15. Two marbles are selected from the bag at the same time. Let event E = the two num

bers do NOT differ by 10 How many outcomes are in the complement of E? A) 5 B) 10 C) 25 D) 200
Mathematics
2 answers:
lbvjy [14]2 years ago
7 0
The numbers DO differ by 10 if they are

- 1 and 11
- 2 and 12
- 3 and 13
- 4 and 14
- 5 and 15

Each outcome technically has two ways of occurring, but since we're taking two marbles at a time, that would be the same as saying, for instance, that drawing 1 and 11 is the same as drawing 11 and 1. We only count such an event once.

So the answer is (a) 5.
Kisachek [45]2 years ago
6 0

Answer:

5!

Step-by-step explanation:

The complement of E is when the numbers differ by 10,

(1, 11), (2, 12), (3, 13), (4, 14), (5, 15)

Thus, there are 5 outcomes where the numbers differ by 10.

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What would be the value of 150 after eight years if you earn 12 percent interest per year
Monica [59]
The answer depends on what type of interest. If you are using compound interest, then the interest is different every year, as the amount you earn goes up because the amount you have in the bank goes up. Simple interest is the opposite, as you earn one amount each year, and it does not change.
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371
5 0
3 years ago
Read 2 more answers
A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
ollegr [7]

Answer:

g o f = g(f(x)) = 32x^2 + 32x + 4

Step-by-step explanation:

Given

f(x) = 4x +2

g(x) =2x^2 - 4

Required:

Find g o f

This is calculated as:

gof = g(f(x))

g(x) =2x^2 - 4

So:

g(f(x)) = 2(4x+2)^2 - 4

g(f(x)) = 2(4x+2)(4x+2) - 4

g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4

g(f(x)) = 32x^2 + 32x + 8 - 4

g(f(x)) = 32x^2 + 32x + 4

5 0
3 years ago
P= -24<br>q= 12<br>r= -6<br><br>a. (pxq):(q+r)<br>b. (pxr):(r-q)<br><br>what the answer?​
kolezko [41]

Step-by-step explanation:

a. ( p × q ) ( q + r )

= ( -24 × 12 ) ( 12 + -6 )

= 288 × 18

= 5184

b. ( p × r ) ( r - q )

= ( -24 × -6 ) ( -6 - 12 )

= ( 144 ) ( -18 )

= -2592

5 0
3 years ago
Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
Solve for z. z/12=6 3/4
Tatiana [17]
6 3/4=6*4+3/4=24+3/4=27/4

z/12=27/4
4z=27*12
4z=324
z=81
3 0
3 years ago
Read 2 more answers
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