c(n) = -6 + 5(n-1) Find the 8th term in the sequence.​

Answer:

(a) 0.5282

(b) 0.4718

Step-by-step explanation:

It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .

It is also provided that the box selected has 6 defective keyboards.

So, the probability of selecting a defective keyboard is, p = 6/20.

Let X = number of defective keyboards.

The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.

(a)

Compute the probability that this shipment will be accepted as follows:

[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]

               [tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]

Thus, the probability that this shipment will be accepted is 0.5282.

(b)

Compute the probability that this shipment will not be accepted as follows:

P (shipment not accepted) = 1 - P(shipment accepted)

                                          = 1 - 0.5282

                                          = 0.4718

Thus, the probability that this shipment will not be accepted is 0.4718.

Answer:

The second graph  (where the line goes through the points -2 and 1)

Step-by-step explanation:

A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.

Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.

okay so the 2x+6 is the red line

x<12 is the purple region

-3/4x+8 is the blue line

x is greater than or equal to 12 is black

the second picture shows when 8 ≤ x ≤ 16

in the second photo it shows the region where 8≤x≤12 which is the red shaded part

Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}

Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.

That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}

Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.

Answer: x = 18/b

................................

Answer:

you can put your answer as 9 or 2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

This is because when rounding you multiply 55 by 6 that is equal to 330 which is near 324. However if you want the answer spot on it would be 294

Answer:

324

Step-by-step explanation:

so you would times 53.5 by 5.5 and you would get 294.25 so i rounded up and the most logical  estimation there was is 324 pounds  

Answer:

The answer is -11/6

Step-by-step explanation:

Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

Answer:

1000 is the answer that you are looking for

hope this helps\

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]

                           = [tex]\frac{210}{3.5}[/tex]

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]

                                             = [tex]\frac{60}{1}[/tex]

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

Answer:

24, -5, -5, -40, -5

Step-by-step explanation:

To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Answer:

12) 24

13) -5

14) -5

15) -40

16) 5

Step-by-step explanation:

Things to remember when you multiply/divide with negatives.

*Two negatives that are multiplied/divided are positive.

*A positive multiplied/divided by a negative turns negative.

*A negative multiplied/divided by a positive remains a negative.

Simplified version of the equations:

12) 6×4= 24

13) 20÷(-4)= -5 *The negative sign of the 4 turns the outcome into a negative.

14) -15÷3= -5

15) 5×(-8)= -40 *Don't forget the negative sign from the 8.

16) 10÷2= 5

You can also input these equations into a calculator.

Hope this helps!

Answer:

We will use the thales's theorem to solve for x

Let ? be x

then, the other segment on the same line as x will be 20 - x since the line is 20 units long

According to thales's theorem:

"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"

Hence, we can write that,

9 / 3 = 20-x / x

3x = 20 -  x

4x = 20

x = 5 units

Hence, the length of the line segment marked as '?' is 5 units

Answer:

y= 20

Step-by-step explanation:

114 = 3y + 54

114 - 54 = 3y

60 = 3y

y = 60 ÷ 3

y = 20

Answer:

48 inches, 4 feet

Step-by-step explanation:

since each foot is 12 inches and we have 4 feet, we can multiply both numbers to convert 4 feet to inches. 12*4= 48 inches

to convert 48 inches to feet, we can divide by 12 since 12 inches is a foot. 48/12=4 feet

Answer:

>

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

-_/18 = -4.24 which is less than -4

Answer: 2472

Step-by-step explanation: It is just 2744 minus 272

Answer:

2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper

Answer:

y=5/2 x

Step-by-step explanation:

The standard form of a linear equation is Ax +By=C

The slope is the number with the letter x

The slope would be -10

The y intercept is the number at the end of the equation.

The y intercept is 1

Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)

If that is the case, then vector v = (-2,4) and vector u = (2,1)

Add the corresponding coordinates to get

v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)

The general rule for adding vectors is

if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)

Answer:

x=3

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

c=coffee, j=juice

c + j >=127

j = c +9

c + c + 9 >=127

2c >=127-9

2c>=118

c>= 59

check by 59+59+9=127

Answer:

50

Step-by-step explanation: