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ruslelena [56]
3 years ago
13

Of the coffee makers sold in an appliance​ store, 4.0% have either a faulty switch or a defective​ cord, 2.5% have a faulty​ swi

tch, and​ 0.1% have both defects. What is the probability that a coffee maker will have a defective​ cord? Express the answer as a percentage.
Mathematics
1 answer:
lukranit [14]3 years ago
6 0

Answer: Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

Step-by-step explanation:

Since we have given that

Let A be the event of getting a faulty switch.

Let B be the event of getting a defective cord.

Here, P(A∪B) = 4% = 0.04

P(A∩B) = 0.1% = 0.001

P(A) = 2.5% = 0.025

We need to find P(B):

As we know that

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\0.04=P(A)+0.025-0.001\\\\0.04=P(A)+0.024\\\\P(A)=0.04-0.024=0.376

Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

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How many solution does this have and how do you solve it
Vadim26 [7]

Answer:

Infinite solutions

Step-by-step explanation:

To determine the number of solutions a system has, you need its slope. If the slopes are the same, check if the equations are equivalent or not.

To find the slope, rearrange the equation to isolate "y", which makes it slope-intercept form y = mx + b.

"x" and "y" represent points on the line.

"m" represents the slope, which is how steep a line is.

"b" represents the y-intercept (where the graph hits the y-axis).

Isolate "y" in both equations:

x + 3y = 0

3y = -x        Subtract 'x' from both sides

y = -x/3        Divide both sides by 3.

y = -\frac{1}{3}x

The slope is -1/3.

9y = -3x

y = -3x/9        Divide both sides by 9

y = -\frac{3}{9}x        Reduce the fraction to lowest terms

y = -\frac{1}{3}x

The slope is -1/3, but the two equations are the same.

Since the equations are the same, or <u>equivalent</u>, the two lines are always touching. The solution of a system means where two lines intersect, or meet. Therefore, <u>there are infinite solutions</u>.

5 0
3 years ago
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the o
uranmaximum [27]

Let

x--------> the time in hours

y-------> the distance in miles

we know that

The speed is equal to

Speed=\frac{distance}{time}

in this problem

Speed=\frac{y}{x}

y=(Speed)*x

<u>Equation First Train</u>

y1=70x

<u>Equation Second Train</u>

y2=80x

y1+y2=600\ miles ---------> equation 1

Substitute the values of y1 and y2 in the equation 1

70x+80x=600

Solve for x

150x=600

x=4\ hours

therefore

<u>the answer is</u>

4\ hours

4 0
3 years ago
Read 2 more answers
Show your full solution
alex41 [277]

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

3 0
3 years ago
A city-wide gardening club is up of men, women and children in the ratio 5:4:11.
Sever21 [200]

Answer:

Women: 448  Men: 560  Children: 1232

Step-by-step explanation:

5+4+11 = 20/2240 = 112

Women = 4 x 112 = 448

Men = 5 x 112 = 560

Children = 11 x 112 = 1232

Total = 1232 + 560 +448 = 2240

3 0
3 years ago
I’ll mark y brainlist for the correct answer!
inna [77]

Answer:

16 / C

Step-by-step explanation:

-4 x -4 = 16

4 x 4 = 16

two negatives cancel out when multiplying, that is why it equals 16*

5 0
3 years ago
Read 2 more answers
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