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
antoniya [11.8K]
2 years ago
10

Find the Surface Area of the cone.

Mathematics
1 answer:
STatiana [176]2 years ago
6 0

Cone surface area:

πr(r + s)

= 3,14 × 3 × (3 + 7)

= 3,14 × 3 × 10

= 9,42 × 10

= 94,2 m²

Nt: I from IDN

You might be interested in
Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos
crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c)  P(X = 2) is unusual, P(X = 0) is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{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 \pi is the probability of X happening.

A number of sucesses x is considered unusually low if P(X \leq x) \leq 0.05 and unusually high if P(X \geq x) \geq 0.05

In this problem, we have that:

Two cans are randomly chosen, so n = 2

Two out of 18 cans are filled with diet coke, so \pi = \frac{2}{18} = 0.11

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that P(X = 2) is unusual, since P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0
3 years ago
(25)2×100÷23+[24÷(13−5)]
hram777 [196]

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

7 0
3 years ago
The sum of 4 consecutive integers is 40 what is the third number in this sequence?
Dmitry [639]
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40                     The third number in the sequence is x+2
4x+6=40                                           8.5+2=10.5
4x+6-6=40-6                               Therefore the third number in the sequence is
4x=34                                             10.5
4x/4=34/4
x=8.5
3 0
3 years ago
Hey guys I have more questions comming soon​
gavmur [86]

Answer:

25a-40b-10 is your answer, hope this helped :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. Solve.
Ivahew [28]

Step-by-step explanation:

2x × 3x +(-5×1)=6x-6=o

7 0
3 years ago
Read 2 more answers
Other questions:
  • A druggist wants to reduce a 20-ounce quantity of a 7% solution of iodine to a 4% solution by adding pure alcohol. How much alco
    9·1 answer
  • The number pi goes on forever with no repeating pattern; therefore, it is rational. A) True or B) False
    11·1 answer
  • A television with a 5:3 screen shows an image with a ratio of 5:4 which creates a letter boxed image. What percent of the screen
    10·1 answer
  • Given that f(x) = x^2-3/2
    11·1 answer
  • The sale price of every item in a store is 85% of its usual price.
    5·1 answer
  • While Tina is shopping, she finds a pair of pants she wants to buy that is priced at $35 but is on sale for 60% off. What expres
    12·2 answers
  • Find the equation of the line. Use exact numbers <br><br> Y= __ x+ __
    10·1 answer
  • Solve for X. Show your work<br><br> 2x + 6 = x - 5
    6·1 answer
  • Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class
    15·1 answer
  • What number goes to the blank space t make the following equation true<br><br> 43+29= +60
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!