1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lilavasa [31]
3 years ago
9

Can someone please write 2x^2 + 16x + 35 in the form of a(x + b)^2 + c?

Mathematics
1 answer:
KIM [24]3 years ago
8 0

2(x+4)^2+19

you can kinda work backwards to get this.

You might be interested in
What is the slope of the line through -1,-7 and 3,9
Lelechka [254]

Answer:

The slope is 4

Step-by-step explanation:

You can find the point by doing

9+7

____

3+1

which equals 16/4 = 4

the slope is 4

5 0
2 years ago
Read 2 more answers
-7πh = 98π <br> solve for h
ICE Princess25 [194]

Answer:

h = -14

Step-by-step explanation:

-7πh = 98π

⇔ -7h = 98   (Just Divide both sides by π)

⇔ h = 98 ÷ (-7) = -14

5 0
10 months ago
Read 2 more answers
A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic
stellarik [79]

Answer:

a) There is a 59.87% probability that none of the LED light bulbs are defective.

b) There is a 31.51% probability that exactly one of the light bulbs is defective.

c) There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

d) There is a 100% probability that three or more of the LED light bulbs are not defective.

Step-by-step explanation:

For each light bulb, there are only two possible outcomes. Either it fails, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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

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

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 10, p = 0.05

a) None of the LED light bulbs are defective?

This is P(X = 0).

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

P(X = 0) = C_{10,0}*(0.05)^{0}*(0.95)^{10} = 0.5987

There is a 59.87% probability that none of the LED light bulbs are defective.

b) Exactly one of the LED light bulbs is defective?

This is P(X = 1).

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

P(X = 1) = C_{10,1}*(0.05)^{1}*(0.95)^{9} = 0.3151

There is a 31.51% probability that exactly one of the light bulbs is defective.

c) Two or fewer of the LED light bulbs are defective?

This is

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 2) = C_{10,2}*(0.05)^{2}*(0.95)^{8} = 0.0746

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.5987 + 0.3151 + 0.0746 0.9884

There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

d) Three or more of the LED light bulbs are not defective?

Now we use p = 0.95.

Either two or fewer are not defective, or three or more are not defective. The sum of these probabilities is decimal 1.

So

P(X \leq 2) + P(X \geq 3) = 1

P(X \geq 3) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = C_{10,0}*(0.95)^{0}*(0.05)^{10}\cong 0

P(X = 1) = C_{10,1}*(0.95)^{1}*(0.05)^{9} \cong 0

P(X = 2) = C_{10,1}*(0.95)^{2}*(0.05)^{8} \cong 0

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0

P(X \geq 3) = 1 - P(X \leq 2) = 1

There is a 100% probability that three or more of the LED light bulbs are not defective.

8 0
3 years ago
What is the answer to this?
schepotkina [342]

Answer:photo math

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
4x - 35 = 234<br><br> Solve for 'x'.
andrezito [222]

Answer:

X= 67.25

Step-by-step explanation:

4x-35=234

Add 35 to both sides

4x= 269

Divide both sides by 4

X= 67.25

4 0
3 years ago
Other questions:
  • Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box.
    14·2 answers
  • Carly says she walks 300 mm to school each day is this reasonable
    13·2 answers
  • -1+(-4)=? What is the answer
    9·2 answers
  • find the distance between franklin and fairview if they are 0.8 in apart on a map with a scale of 1 in: 18.3 mi
    11·1 answer
  • 31 Two identical umber cubes are shown in the picture. The edge length of these number cubes was the combined volume of the two
    8·1 answer
  • What kind of property is used in the following example?
    5·1 answer
  • Find the value of the the missing angle in grades in each of the following figures.​
    8·1 answer
  • Jessica has 3 cards in a bag, each marked with a letter. The letters are X, Y, and Z. Without
    6·2 answers
  • What am I supposed to do here?
    12·1 answer
  • A rectangle is 4xcm wide and 2cm long what do you notice
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!