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patriot [66]
3 years ago
8

one light bulb is selected at random from a lot of 110 light bulbs of which 2% are defective. what is the probability that the l

ight bulb selected is defective
Mathematics
1 answer:
Rasek [7]3 years ago
8 0
First, find 2% of 110

2% = 0.02

0.02 · 110 = 2.2 

Probability: 2.2 / 110

Hope this helps :)
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Write 289% in decimal form.
Veseljchak [2.6K]
There r 2 ways to do this....percent to decimal

(1) u can divide by 100.....289/100 = 2.89
(2) u can move the decimal 2 spaces to the left....2.89

just so u know ... decimal to percent
(1) multiply by 100
(2) move decimal 2 spaces to right
3 0
3 years ago
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What is the ratio of seats to wheels in a group of tricycles?
Morgarella [4.7K]
Each tricycle has 3 wheels and one seat, so the ratio of seats to wheels is 1:3
4 0
3 years ago
What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
2 years ago
Which of the following is equivalent to the expression 2/5 divided by 4 ?
erik [133]

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

5 0
2 years ago
Set up a System of Equations and Solve
Bumek [7]

Answer:

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

Step-by-step explanation:

Let

x-----> the cost of the ice cream cone

y----> the cost of the ice cream basket

z---> the cost of the donut

we know that

2x+y=12.75 ------> y=12.75-2x ------> equation A

x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B

x+y+z=9.75 ----> equation C

substitute equation A and equation B in equation C and solve for x

x+(12.75-2x)+((7.50-x)/2)=9.75

Multiply by 2 both sides

2x+25.50-4x+7.50-x=19.50

3x=25.50+7.5-19.50

3x=13.5

x=$4.50

Find the value of y

y=12.75-2(4.50)=$3.75

Find the value of z

z=(7.50-4.50)/2=$1.50

therefore

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

6 0
3 years ago
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