How do I solve this problem?

6x + 9 <7x

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Answer: x^2/9 + y^2/4 = 1

Step-by-step explanation:

Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]

Step-by-step explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].

[tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2} } =1[/tex]  

[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]

[tex]\frac{x^{2} }{9 } +\frac{y^{2} }{4} } =1[/tex]

Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

Answer:

[tex]tan(30) = \frac{A}{B}[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find tan(30)

Let the side opposite 30 degrees be A and the side adjacent 30 degrees be B

So [using tangent identity]:

[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

This gives:

[tex]tan(30) = \frac{A}{B}[/tex]

Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

stream·er

/ˈstrēmər/

Learn to pronounce

See definitions in:

All

Journalism

Fishing

Angling

Astronomy

noun

a long, narrow strip of material used as a decoration or symbol.

"plastic party streamers"

Similar:

pennant

pennon

flag

banderole

banner

standard

ensign

gonfalon

burgee

ribbon

vexillum

a banner headline in a newspaper.

"his appearance was announced with a streamer headline"

FISHING

a fly with feathers attached.

"a streamer fly"

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

Answer:

? = 49.5

Step-by-step explanation:

Find the missing components of angles:

? = 49.5

B = 40.5

C = 90

Find the missing components of sides:

a = [tex]\sqrt{231}[/tex]

b = 13

c = 20

Yes the Frist question is 15 students

the second question is 5 well I mean if you do it by Khan academy

the third one is well three dozen eggs are cracked, so probably 12?

Answer:

Standard line equation:

y=ax+b

The point (5,1) is on the line. so :

1=a(5)+b → 1=5a+b

The point (1,-5) is also on the line. Then :

-5=a(1)+b → -5=a+b

Subtract the two equations in terms of a and b. we have:

6=4a → a=3/2 , b=-6.5

y=1.5x-6.5

Answer:

-89

Step-by-step explanation:

Answer:

One and Four

Step-by-step explanation:

Answer:

choices 1, 3, & 4 are true, 2 is not

Step-by-step explanation:

Answer:

b is 9

Step-by-step explanation:

okay

please mark me as brainlist and be happy also add me on sñap

arshad2623f

i will be happy <3

Answer:

its 9 this has to be at least 20 characters

Answer:

Y would be 6

Step-by-step explanation:

it's shown in the graph that when you go to the x value of 5 and follow it the only point there is (5,6) so the answer is 6

Answer:

theres the answers. hope this helps!

Step-by-step explanation:

Answer:

What are the dimensions, a, b, and c, of the net?

a = ✔ 5 cm

b = ✔ 13 cm

c = ✔ 15  cm

Step-by-step explanation:

I took it!

Answer:

10

Step-by-step explanation:

#3 maybe be wrong, sorry if it is

Answer:

same, equal measure

Hope it helps

Please mark me as brainliest

Thank you

Answer:

O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4(2+5) / 2

4(7) / 2

28 / 2

14

Step-by-step explanation:

Sorry its messy but if you cant understand tell me

Answer:

All i have is the area which is 4.5·π cm² + 18 cm² =

Step-by-step explanation:

Answer:

What is the perimeter

The surface area of the cone is 16π square units.

The surface area of the cone is given by;

⇒ Area = πrl + πr²

Here, We have;

A right cone has a slant height of 6 and a radius of 2.

Substitute all the values in the formula

⇒ Area = πrl + πr²

⇒ Area = π x 2 x 6 + π x 2²

⇒ Area = 16π

Hence, The surface area of the cone is 16π square units.

Learn more about the surface area here;

brainly.com/question/2835293

#SPJ5

Answer:

see in the picture, we can see that SPRQ is a parallelogram

=> 70 = 14x

⇔ x = 70/14

⇔ x = 5

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

6/100

3/50

0.06

6%

Answer:

The answer is [tex]\sqrt{25}[/tex]

Step-by-step explanation:

Please mark brainliest

angles sum: 180(6-2) = 720

50 + 37 + 42 = 129

129 + 5x + 7x - 1 + 3x + 40 = 720

15x + 168 = 720

15x = 552

x = 36.8

check:

129 + 5(36.8) + (3(36.8) + 40) + (7(36.8) - 1) = 720

Correct answer??

180-50 = 130

180-37 = 143

180-42 = 138

Known internal angles:

130 + 143 + 138 = 411

15x + 39 + 411 = 720

15x = 270

x = 18

Answer:

b

5x+3

Step-by-step explanation:

5×3=15+4=18

5×4=20+3=23

5×8=40+3=43

5×10=50+3=53

hope this helps