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Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

Answer:

104 gallons

Step-by-step explanation:

320/31=10.323 miles per gallon

1070/10.323=103.66 <---round to whole number

104 gallons needed

Answer:

1/10

of the box is left

so 2 ounces are left

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The number of laps per minute is given by equation A = 2/3 laps per minute

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of laps per minute be represented as A

Now , the value of A is

The total number of laps = 10 laps

The total time for 10 laps = 15 minutes

So , the number of laps per minute = number of laps / total time for 10 laps

On simplifying the equation , we get

The number of laps per minute A = 10 / 15

The number of laps per minute A = 2/3 laps per minute

Hence , the number of laps per minute is ( 2/3 ) laps

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Answer:

13x^2 - 6x -11

Step-by-step explanation:

Answer:

angle 1 and angle 3

Answer:

so for the mean u add all the numbers on there and then divide it by 5 since there are 5 numbers on there so 78+84+100+78+81=421 now we divide 421 by 5 so 421÷5= 84!

now the median would be 100? and the mode is 78 since 78 is the number that showed the most!

Answer:

Volume  6082.12338 cm3

Step-by-step explanation:

Step-by-step explanation:

use the pythagorean theorem to find the length of the leg in the triangle below

Answer:

naruto

Step-by-step explanation:

rasengan

Answer:

what you should be asking is what the color of the balls are and if their juicy

Answer:

50 meters

Step-by-step explanation:

the island is 50 meters away

Answer:

About 54 meters or 53.8 meters

Step-by-step explanation:

Pythagorean theorem a^2+b^2=c^2

20^2+50^2=53.8^2

Answer:

(2, -1)

Step-by-step explanation:

I just plugged (y-x<-3) into desmos (if you haven't used desmos, use it. Its a lifesaver) and the only coordinate pair that was part of the line, is (2,-1)

Hope that helps!

Answer:

(6,2)

coz if y=2 & x=6

then substitute in to the equation

and we get 2-6=-4

so -4 is less than -3; in number line. thats it!!!!!

Answer:

2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.

Part A: 5 out 25 lobsters have dangerous levels of mercury

Part B: the 95% confidence interval is given by (4.45, 5.65)

since everything is given all I had to do is find the critical value which can be found from the resource packet = 2.064

Using the formula we find 5.05+-2.064*1.45/5 = ( 4.45,5.65)

For this case, we have 95% of confidence that the true mean for the average number of lobsters with dangerous levels of mercury is between 4.45,5.65

Answer:

The sides of all the shapes are straight

Step-by-step explanation:

Pedro animal has the shape of a horse. The animal is made up of different shapes, we can see that the shapes Pedro animal is made up of consist of two triangles, three rectangles and a hexagon.

All this shapes mentioned above (triangle, rectangle and hexagon) that are used in making this animal have sides with straight edges. Therefore the sides of all the shapes are straight.

Answer:

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

Answer:

r=1.5

Step-by-step explanation:

4r+17=23 *Subtract 17 from each side

4r=6 *Divide both sides by 4

r=1.5

Answer:

The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:

[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]

According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:

[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]

The description of what each ordered pair means is; as described below

The table is missing but from online sources, we can say the following;

An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.

An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.

Thus, the Ordered Pair is (x,y)

Where,

x is the distance measure of a point from the primary axis "x"

y is the distance measure of a point from the secondary axis "y"

In the Cartesian plane, the point where the two lines meet at “0” is the origin.

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Answer:

Option 1: negative infinity to infinity

Step-by-step explanation:

negative infinity to infinity

Answer:

Its A

Step-by-step explanation:

Answer:

(24x+9)yd

153yd

Step-by-step explanation:

The perimeter is the sum of all the sides, so put all the sides together.

(7x+3)+(6x+3)+(6x+3)+(5x)

7x+6x+6x+5x+3+3+3

24x+9

IF x=6:

(24(6)+9)yd

(144+9)yd

153yd

Answer:

30

Step-by-step explanation:

It is easier if you do 5 six times for example

5, 10, 15, 20, 25, 30

Hope this helps ;)

Answer:To find the present value of a cash flow expected to be paid or received in the future, you will ??? the future value cash flow by (1 + I)NN.

-divide

-multiply

What is the value today of a $12,000 cash flow expected to be received 17 years from now based on an annual interest rate of 7%?

-$3,799

-$3,039

-$37,906

-$4,749

Your broker called earlier today and offered you the opportunity to invest in a security. As a friend, she suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be:

-Everything else being equal, you should invest if the current cost of the security is greater than the present value of the security’s expected future cash flows.

-Everything else being equal, you should invest if the present value of the security’s expected future cash flows is less than the current cost of the security.

-Everything else being equal, you should invest if the discounted value of the security’s expected future cash flows is greater than or equal to the current cost of the security.

Now that you’ve thought about the decision rule that should be applied to your decision, apply it to the following security offered by your broker:

Jing Associates, LLC, a large law firm in Denver, is building a new office complex. To pay for the construction, Jing Associates is selling a security that will pay the investor the lump sum of $23,000 in two years. The current market price of the security is $14,245.

Assuming that you can earn an annual return of 8.50% on your next most attractive investment, how much is the security worth to you today?

-$16,606

-$24,421

-$19,537

From strictly a financial perspective, should you invest in the Jing security?

-Yes

-No

Why or why not?

-Because the discounted value of the security’s future cash flows is greater than the cost of the security.

-Because the cost of the security is greater than the discounted value of the security’s future cash flows.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2+2=4

Answer:

i say b.

Step-by-step explanation:

Answer:

I say d

Step-by-step explanation:

It seems most correct, 4 fails and one correct, the fifth try