Consider a binomial experiment with n = 5 trials where the probability of success on a single trial is p = 0.30. (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule.

Answers

Answer 1

Answer:

0.16807 ; 0.83193

Step-by-step explanation:

Given that:

Number of trials, n = 5

Probability of success, p = 0.30

P(r = 0)

Using the binomial probability relation :

P(x =r) = nCr * p^r * (1 - p)^(n - r)

(a) Find P(r = 0).

P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)

= 1 * 1 * 0.16807

= 0.16807

(b) Find P(r ≥ 1) by using the complement rule

P(r ≥ 1) = 1 - P(r = 0)

P(r ≥ 1) = 1 - 0.16807

P(r ≥ 1) = 0.83193


Related Questions

Which pair of expressions is equivalent? A. 4x – 12 and 3(x – 3) e B. 2x B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x - 4 D. X-5 - 10x and -11% - 5​

Answers

Answer: C

Explanation: 11x-4+2x is equal to 13x-4

Hello can someone please help me with this. I'll give 50 points.

A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. How many of each type of computer should the business buy?
a. 9 laptops and 21 tablets
b. 11 laptops and 19 tablets
c. 19 laptops and 11 tablets
d. 21 laptops and 9 tablets

Answers

Answer:

I think it's A because that's only 10,620

Answer: b. 11 laptops and 19 tablets

Step-by-step explanation:

1.9t-5 simplify using commutative property

Pls help lolll

Answers

Answer:

There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.

Step-by-step explanation:

Helppppp pleaseeeeeeeeeeeeee

Answers

I’m sorry but I can’t see it it s flipped over
1.. No
2...Yes
3...No
4...Yes

Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?

Answers

Answer: 3 is the oppos ire of -3 and it takes 6 steps to get to it

Step-by-step explanation:

Answer:

"Which number is the opposite of -3?": The number that is opposite of (-3) is 3

"Starting at -3, how many steps does it take to get to the opposite of -3?": It takes 6 steps to get to the opposite of -3.

" What does this number of steps represent?": This number represents the distance between -3 and 3.

Step-by-step explanation:

Jaye walked 50 dogs this week. 40% of the dogs were brown. How many of the dogs were brown?

Answers

Answer: 30

Step-by-step explanation:

50x .4 = 20

50-20=30

40% in decimal form is .04 so to find out the answer you must multiply 50 by .04 which gives you 20. There are 20 brown dogs.

FREE BRAINLIEST
Write an equation in point slope form for the line that passes through each point with the given slope.
(1,4), m=6

Answers

Answer:

y = 6x -2

Step-by-step explanation:

Answer:

y = 6x - 2

Step-by-step explanation:

pass (1,4)

y = mx + b

b = y - mx = 4 - 6 x 1 = -2

y = 6x - 2

Sunflower we haved renewed your helper thank you with working with our business

Answers

Answer: wdym? do u need any help

Step-by-step explanation:

Pls answer the question

Answers

Answer:

x is the right answer because the x value is only going to one output

Joshua finished the mile race in 22.7 minutes. Blake finished the race 8 3/10 minutes sooner than Joshua finished it. How many minutes did it take Blake to finish the race?

Answers

Answer:

31 mins

Step-by-step explanation:

22.7+8 3/10=31 mins

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Whats the Standard form of 3-7i/2+6i

Answers

Answer:

[tex]3+\frac{5i}{2}[/tex]

Step-by-step explanation:

Simplify and write the answer in the standard form, a+bi. Hope this helps!

How many inches are in 4 1/2 yards of fabric?

Answers

Answer: 162 inches

Step-by-step explanation: 4 yards are 144 inches and 1 yard alone is 36 when you divide it by half it’s 18. (144+18=162)

To convert [tex]4 \dfrac{1}{2}[/tex]  yards of fabric to inches, multiply by 36.

Therefore, there are 162 inches in [tex]4 \dfrac{1}{2}[/tex]  yards.

For the measurement, we know

1 yard = 36 inches

The given measurement is: [tex]4 \dfrac{1}{2}[/tex]  yards

Convert it into an improper fraction,

[tex]4\dfrac{1}{2} = \dfrac{4 \times 2 + 1}{2} \\\\ = \dfrac{9}{2}[/tex]

Thus, [tex]4 \dfrac{1}{2}[/tex]  yards can be written as [tex]\dfrac{9}{2}[/tex]  yards.

Since 1 yard = 36 inches

Therefore,

(9/2) yards = (9/2)x36 inches

= 9 x 18 inches

= 162 inches

Hence,

The measurement  [tex]4 \dfrac{1}{2}[/tex]  yards are equivalent to 162 inches.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

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Inverse function of y=1-x/7

Answers

Answer:

x = (7,0)

y = (0,1)

Step-by-step explanation:

What is the density of the glass in 2.5 g/cm in kg/m

Answers

We are given:                                                                                                        

Density of glass in g/cm³ = 2.5

Finding the density in kg/m³:                                                                              

In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg

Converting the g to kg:

2.5 g/cm³ * 1

Since 1kg = 1000g, 1kg/1000g = 1

2.5 g/cm³ * 1kg / 1000g

the g in the numerator and the denominator will cancel out and we will get:

2.5 kg / 1000 cm³

Converting the cm³ to m³:

We know that 1 m³ = 10⁶ cm³

So, 10⁶ cm³ / 1 m³ = 1

Multiplying the density by 1

2.5 kg / 10³ cm³   *   1

2.5 kg / 10³ cm³   *   10⁶ cm³ / 1 m³

the cm³ in the numerator and the denominator will cancel out

2.5 * 10⁶ kg / 10³ m³

2.5 * 10³ * 10³ kg / 10³ m³

2.5 * 10³ kg / m³

2500 kg/m³

sam can make 10 bracelets in 4 hours. how many bracelets can he make in 1 hour. 2 hours. and 3 hours.

Answers

Answer:

1 hour- 2 bracelets ; 2 hours 2 bracelets; 3 hours 4 bracelets

Step-by-step explanation:

i dont know if correct

3 Write an expression
to represent:
"Twice a number 51
increased by 51"

Answers

Answer:

51x 3+51 is the answer from my side

12x+5y=95
find the x-intercept

Answers

Answer:

(95/12,0)

Step-by-step explanation:

Answer:

(7.916, 0)

Step-by-step explanation:

In order to find the X-intercept, let y=0

12x + 5(0) = 95

12x = 95

95/12x = 7.91666...

Therefore, the x intercept is (7.916, 0)

There are 99 females and 121 males participating in a marathon. What percent of the participants are male

Answers

Answer:

0.55 = 55%

Step-by-step explanation:

total people:  220

121/220 = 11/20 = 55%

brainileist pweeeeeez

Answer:

55%

Step-by-step explanation:

121/99+121

0.55

55%

explain the steps that you would use to explain the equation -2x+10>50 to solve for x.

Answers

Step-by-step explanation:

make it braintliest please

Solve for please X/2+6=-2

Answers

X=-16
X/2+6=-2
Subtract 6 from both sides
X/2=-8
Multiply by 2
X=-16

Answer:

x = -16

Step-by-step explanation:

Find the value of X. Show your work.

Congruent triangle

Answers

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

Answer: x=-6

you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure

64 + 27 = 91

180 - 91 = 89

so 89 is the third interior angle of the triangle. now let's find the exterior angle.

you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:

89 + 97 + x = 180

186 + x = 180

-186        -186

x = -6

now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.

64+27+89 does equal 180

and 97+(-6)+89 does equal 180

i hope this helps!

Find the volume of a cone with a height of
9in and a diameter of 12in.

Answers

Answer:

339.12 in³

Step-by-step explanation:

volume of cone: v = Bh/3 = πr²h/3

v = (3.14 * (12/2)² * 9 )/ 3 = 339.12

When simplifled, the value of the expression (15 - 11) 2 + 64 +4 is equal to
10
4
24
18

Answers

Answer:

I genuinely dont see the answer lol

Step-by-step explanation:

P - Parenthesis

E - Exponent

M - Multiply

D - Divide

A - Add

S - Subtract

[tex](15 - 11)2 + 64 + 4 \\ (4)2 + 64 + 4 \\ 8 + 64 + 4 \\ 72 + 4 \\ 76[/tex]

How do you write 8.2 × 102 in standard form?

Answers

Answer:

If this is supposed to be scientific notation then it is 820. if it is 8.2 times one hundred and two then it is  836.4.

Step-by-step explanation:

Hope this helps. :)

I have too many different answers. Can someone find the right one?

Answers

Answer:

790 feet

Step-by-step explanation:

19 can be written as 152/8 and 3/4 is equal to 6/8

152/8 + 6/8 = 158/8

158 x 5 = 790

A pole that is 2.8 m tall casts a shadow that is 1 m long. At the same time, a nearby building casts a shadow that is 39.5 m long. How tall is the building? round youre answer to the nearest meter

Answers

Answer:

110.6 meters

Step-by-step explanation:

39.5 x 2.8 = 110.6


Which function is represented by the graph?

Answers

Answer:

f(x) = -2|x| + 1 aka the first option

Step-by-step explanation:

Which three lengths could be the lengths of the sides of a triangle?
a. 11cm, 11 cm, 24 cm
b. 18 cm, 12 cm, 9 cm
c. 9 cm, 19 cm, 10 cm
d. 4 cm, 7 cm, 23 cm

Answers

Step-by-step explanation:

If it is an isosceles triangle, Option A is most suitable.

But if it's a scalene triangle, Option B,C and D would suffice.

need help right now due today I will get brainiest with all the answers

Answers

Answer:

9. 9 1/2

10. 1 1/2

11. 15 3/4

12. 1 1/3

13. 12 stores sell shoes.

14. the area of the floor is 7,606.625 ft²

15. 3 1/3

16. 4 skateboards

hope this helps. have a good day

I need help ASAP!!,!
Which of the following would be in the solution set to the system of inequalities given below?

Answers

Answer:

(-4,0)

Step-by-step explanation:

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