Lorenzo made a table and a graph for the equation y = 4x.
x
у
12
11
10
9
8
7
6
1
4
2.
8
3
12
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12
Did Lorenzo make these items correctly? Select the true statement,
A. The graph is correct, but the table is not
B. Both are correct
C. Both are incorrect
D. The table is correct, but the graph is not

Answer:

a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b) 4000 automotive lights.

Step-by-step explanation:

For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that 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.

An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.

This means that, respectively, [tex]n = 30, p = 0.001[/tex].

a. Probability that an automotive light has two or more defective bulbs.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

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

[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]

[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

The number of expected trials to obtain n successes with p probability is given by:

[tex]E = \frac{n}{p}[/tex]

In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So

[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]

4000 automotive lights.

Answer:

If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)

Step-by-step explanation:

1. Determine a single event with a single outcome.

2. Identify the total number of outcomes that can occur.

3. Divide the number of events by the number of possible outcomes.

Answer:

3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

400×1.2⁷ ≅ 1433 mice

Answer:

B) $16

Step-by-step explanation:

Alright so first you want to take the total amount of money made :

$128

Next you want to find 25% of this number (or 1/4) and subtract it from the total.

So :

128 / 4 = 32

So now we take 128 and subtract 32. (32 = 1/4 or 25% of 128)

128 - 32 = 96

Ken now has $96 left over after spending money on games.

So now that we have this number we need to find 1/6 of it because he took 1/6 of the money after he bought games and put it towards charity.

So :

96 / 6 = 16

16 is equal to 1/6 of his leftover money after games and is the amount the charity received.

B) $16

I hope this helps! :)

If you are confused or have any questions please comment or dm and I would be happy to help.

Also change the pfp FeelsGoodMan

Answer:

B) $16

Step-by-step explanation:

1. First let's find how much he spent on games. Multiply 0.25 to 188. 0.25 x 128 = 32.

2. Now subtract that amount from the original $128.  128 - 32. = 96.

3. Then, multiply 1/6 from 96. 1/6 x 96 = 16. This $16 is the amount the charity will receive.

Answer:

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.

Cammie ran three times as far.

The situation can be modeled with algebra tiles by  

✔ three orange x tiles

.

The situation can be represented as an algebraic expression as  

✔ 3x

.

Step-by-step explanation:

Hope this helps!!

ig- crochetsbyandrea

Answer:

1 three orange x tiles

2 3x

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: hope this help:)

Answer:

D

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

FIRST STEP:

4*3 =12

6.5*3 =19.5

SECOND STEP:

21*12*19.5 =4914

Answer:

D

Step-by-step explanation:

i solved it

Answer:

B) -3x=4y-6

Step-by-step explanation:

(-2,-3); x= -2 and y= -3

B) -3x=4y-6

-3x= 4(-3) - 6= -12-6= -18

x= -18/-3=6... wrong

Answer:

D. √2

Step-by-step explanation:

Solve for x by applying trigonometric ratio.

Reference angle = 45°

Hypotenuse = 2

Adjacent side = s

Thus:

Cos (45) = adj/hyp

Cos (45) = s/2

2×Cos(45) = s

2 × √2/2 = s (cos (45) = √2/2)

√2 = s

s = √2

Answer:

Is that 11/3 because of rise over run??? I'm not sure

Answer:

b).$1.340,00

Step-by-step explanation:

Sana po makatulong ako sayo..

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

[tex]P(x)=-x^2+1280x-3300[/tex]

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

[tex]R(x)=1300x-x^2[/tex]

And the cost function is:

[tex]C(x)=3300+20x[/tex]

Then the total profit function will be:

[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]

And the maximum profit will be:

[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]

Answer:

Step-by-step explanation:jk

Answer:

10

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

0 is the best answer.

Step-by-step explanation:

Answer:

40 cheesburgers

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

45% is 9/20

18 cheeseburgers is 9/20 of all the cheese burgers

36 cheeseburgers is 18/20 of all the cheeseburgers

40 cheese burgers is 20/20 of all cheeseburgers

Answer:

Mean is 84

Step-by-step explanation:

Answer:

Your slope would be: -5

Step-by-step explanation:

First we need to format it into a linear equation which is: y= mx+b

y+5= (x+3)

and than minus 5 on each side to get:

y=(x+3)-5

than use distributive property to get:

y= -5x+-15

your slope would be:

-5

and than you can get any coordinates from the line if you graph the line on the site "desmos" so just use that site :)

hope it helps!

Answer:

4

Step-by-step explanation:

so you start with the number -2 and than you add 6 because your multiplying the 2 subtraction symbols to get a positive so your answer would be 4

Answer:

See answer below

Step-by-step explanation:

For the first expression

3 x (x - 2) + 2 = 3 x^2 - 6 x + 2

evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

2 x^2 + 3 x - 18

we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.

Answer:



Let 'x' represent the height of the statue.

1 ft = 0.3048 m

5.5 ft = 5.5*0.3048 m

Using the similar triangles we can write:

x : 3 = 12 : (5.5*0.3048)

x = 21.47 m

The statue is 21.47 meters tall

Answer:

<

Step-by-step explanation:

there ya go :) hope that helps youuu

btw you're doing great on that :D

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

Answer:

-37.5 m

Step-by-step explanation:

If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:

... (15/24)×(-60 m) = -37.5 m

Answer:

-218.75

Step-by-step explanation:

you probably don't need the answer anymore but I still thought I should put it out there

Answer:

5x - 8 < 37

Step-by-step explanation:

I'm so sorry if this is wrong

Answer:

in this question what we have to do please can you tell

Answer:

-40

Step-by-step explanation:

This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.