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
exis [7]
3 years ago
11

1/6 +3/8 = in simplest form

Mathematics
1 answer:
MrRa [10]3 years ago
4 0
1/6+3/8=13/24 (13/24 is the simplest form in this case)
You might be interested in
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
andriy [413]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

(c) Standard deviation of defective light bulbs = 3.67

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

Standard deviation of defective light bulbs is given by = S.D. = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.67

8 0
3 years ago
Plz someone answer this with an explanation
worty [1.4K]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
Identify which property you would use first to solve the following equation.
IceJOKER [234]

Answer:

Distributive property

Step-by-step explanation:

In order to solve this equation we first need to distribute 3 into 2y+5, we use the distributive property to do this.

5 0
2 years ago
Pls answer i’ll give brainliest
oee [108]

Answer:

PQR and JK

Step-by-step explanation:

ΔGHJ ≈ ΔPQR by the Transitive Property of Congruence. GH ≈ JK since corresponding parts of congruent figures are congruent.

Pls mark as brainliest. I would really appreciate it if you did.

4 0
3 years ago
Emmy throws a doggy toy up in the air. The path of the toy is modeled by the function f(x)=−x^2+4x+5, where x is the number of f
Molodets [167]

Answer:

9feet

Step-by-step explanation:

Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.

AT maximum height, the velocity of the toy will be zero. Hence;

df(x)/dx = 0

-2x + 4 = 0

-2x = -4

x = -4/-2

x = 2

Get the maximum height;

Substitute x = 2 into the given function;

f(x)=−x^2+4x+5

f(2)=−2^2+4(2)+5

f(2) = -4+8+5

f(2) = 9feet

Hence the maximum height of the toy is 9feet

4 0
3 years ago
Other questions:
  • The length of a table is 110 cm to the nearest cm
    13·1 answer
  • Find the slope of the line: the length of a bus route is 4 miles long on the sixth day and 4 miles long on the seventeenth day.
    8·1 answer
  • What is the means-to-MAD ratio of the two data sets, expressed as a decimal?
    8·1 answer
  • MANY POINTS
    7·1 answer
  • What is 4.238 x 7.5.​
    7·1 answer
  • Tina says that 3:8 is equivalent to 36:64, what did Tina do wrong
    7·1 answer
  • Let f(x) be a 5th degree polynomial. If 4, 2 + 3i, and −5i are zeros of f(x), list all other zeros.
    13·1 answer
  • Keith has landscaping bricks that are 0.75 feet long.
    5·1 answer
  • You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how ma
    11·1 answer
  • The original selling price of a share of stock was d dollars. The selling price for a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!