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koban [17]
2 years ago
6

A basket of 40 pairs of pliers at a discount hardware store includes 5 pairs of 6-inch pliers. A second basket contains 20 hamme

rs, including 3 large hammers. What is the probability of drawing a 6-inch pair of pliers from the first basket without looking?
Mathematics
2 answers:
Kryger [21]2 years ago
4 0
First, add all the numbers together, which is 68. Then divided 100 by 68, which gives you the number 1.47, and that's your answer.
Ket [755]2 years ago
4 0

Answer: Our required probability is \frac{1}{8}

Step-by-step explanation:

Since we have given that

Number of pairs of pilers = 40

Number of pairs of 6-inch pilers = 5

So, Probability of drawing a 6-inch pair of pilers from the first basket without looking is given by

\frac{\text{Number of favourable outcome}}{\text{ Total number of outcomes}}\\\\=\frac{5}{40}\\\\=\frac{1}{8}

Because in another basket of hammers, there is no pilers.

Hence, our required probability is \frac{1}{8}

You might be interested in
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15
daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) =  52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X =  40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0
1 year ago
Dylan has a total of 25 marbles. He gives 5 marbles to his sister, Jane. What
elena-14-01-66 [18.8K]
1/5th of the marbles
4 0
2 years ago
The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals
Anton [14]
Assuming you mean y=10x+150 and y=20x+115, you need to use a simultaneous equation, because you have two equations with two unknowns (x and y)

rearrange so
10x-y=-150
20x-y=-115

multiply the top by -1, so that if we add the two lines together, the y will cancel out
-10x+y=150
20x-y=-115

add the two lines together
10x=35
x=3.5

so the time is 3 and a half weeks

then we can sub in x to find y
20x-y=-115
20(3.5)-y=-115
70-y=-115
-y=-185
y=185

so 185 tickets were sold !
you can sub these values into your original equations to check your answer :)
5 0
2 years ago
Read 2 more answers
A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets
Lostsunrise [7]

Answer:

3

Step-by-step explanation:

The coach divides her 9-player squad into 3-player groups. This means that she has 9 players and she wants to share them into 3s.

The number sets of three groups she will have can be obtained by dividing the total number of her players by the 3. That is:

9 / 3 = 3 sets

Therefore, she will have 3 sets of 3-player groups.

7 0
2 years ago
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i
lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51

E)

P(X \geq 3)=1-P(X

F)

E(X)=\frac{1}{p}

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

E(X)=\frac{1}{0.7}=1.42

G)E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33

8 0
2 years ago
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