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
saveliy_v [14]
3 years ago
10

Use the set B = {5, 7, 9, 11} to determine n(B). n(B) = 0

Mathematics
1 answer:
kkurt [141]3 years ago
5 0

9514 1404 393

Answer:

  n(B) = 4

Step-by-step explanation:

There are four (4) elements in set B.

  n(B) = 4

You might be interested in
What other information do you need in order to prove the triangles congruent using the SAS congruence postulate?
ziro4ka [17]

Answer:

I think D

Step-by-step explanation:

I think that the answer is D, since the angles are not visibly shown to be equal. If you knew answer D, you would then be able to see that segments BC and CD are congruent. I am not 100% sure, however.

4 0
3 years ago
A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
3 years ago
Brainliest to the first person who answers this what’s the surface area of the first picture and what’s the volume of the second
ycow [4]

Answer:

459.6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi
Oksana_A [137]

Answer:

(a) E(X) = 950

(b) $ COV = 0.007255$

(c) P(X > 980) = 0.00001\\\\

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$ COV = \frac{\sigma}{E(X)} $

Where the standard deviation is given by

\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892

So the coefficient of variance is

$ COV = \frac{6.892}{950} $

$ COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

P(X > 980)  = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980)  = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980)  = 1 - P(Z < 4.28)\\\\

The z-score corresponding to 4.28 is 0.99999

P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0
3 years ago
How long dose it take to get ban on here?
aksik [14]
Pretty long why? don't get yourself banned on purpose or break the code of conduct please young ppl are on here
6 0
3 years ago
Read 2 more answers
Other questions:
  • 300 flips of a coin, the rate of head is=0.35 find the probability
    12·1 answer
  • What <br> operation of addition is subtraction.
    11·1 answer
  • 19<br> Complete the equation for f[x]
    9·1 answer
  • You are playing poker and drawing 5 cards without replacement from a deck of card? What is the probability that you draw a hand
    6·1 answer
  • A pipe is 24 feet long. It needs to be cut into pieces that are each 34 feet long. How many pieces can be made from the pipe? Wr
    12·2 answers
  • On average, a server is tipped 95 cents for each customer served. If 18 customers are served, how much money, in dollars, should
    8·1 answer
  • 7th grade work (: haha
    15·1 answer
  • For Greta's birthday party, her parents ordered 6 pizzas. If they cut the pizzas into sixths, how many pieces will there be? Cho
    11·1 answer
  • Tim wants to ride his bike for 25 miles or less on some mountain bike trails.
    9·1 answer
  • PLEASEEE HELPPP!!!!!<br><br> Select all that are<br> equal to 6^4(6^-5)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!