(20 points)
What is the value of x?
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A:9.5
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B:10.6
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C:12.0
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D:25.0
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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:

The surface area of the square pyramid is 34.63cm².

Step-by-step explanation:

[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} } =3^{2} +2[/tex]×3×[tex]\sqrt{\frac{3^{2} }{4} +4^{2} }[/tex]≈34.63cm^2

Answer:

A - Stratified random sampling reduces sampling variability.

Step-by-step explanation:

saw it on the review

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:

14

Step-by-step explanation:

-5x+26=-44

-26        -26

-5x=-70

5       5

x=14

Answer:

x=14

Step-by-step explanation:

Let's solve your equation step-by-step.

−5x+26=−44

Step 1: Subtract 26 from both sides.

−5x+26−26=−44−26

−5x=−70

Step 2: Divide both sides by -5.

−5x−5=−70−5x=14

Answer:

x=14

Answer:

Step-by-step explanation:

Answer:

12.76 in³

Step-by-step explanation:

The volume of a sphere formula is V = (4/3)πr³.

Here we use 3.14 for π and 1.45 in for r.  We get:

V = (4/3)(3.14)(1.45 in)³ ≈ 12.76 in³

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

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

Answer:

A. is the answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: C: 204 ft

Step-by-step explanation: plz mark me brainliest. 12x17=204

Step-by-step explanation:

r-16=10

r=10+16

r=26

I hope this helps.

Answer:

r = 26

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

the area should be 3/4

Step-by-step explanation:

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:

D

Step-by-step explanation:

D is positively skewed

Answer:

8 and 5

Step-by-step explanation:

Answer:

8 and 5

Step-by-step explanation:

Answer:

The measure of side FG is 3.

Step-by-step explanation:

Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.

From the given question,

scale factor = 5

measure of side F'G' = 15

Thus,

scale factor = [tex]\frac{measure of side F'G'}{measure of side FG}[/tex]

side F'G' = scale factor x side FG

⇒ 15 = 5 x side FG

So that,

side FG = [tex]\frac{15}{5}[/tex]

             = 3

The measure of side FG is 3.

Answer:

c

Step-by-step explanation:

just count

Answer:

C

Step-by-step explanation:

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:

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 A (3) and F (7)

Step-by-step explanation:

Hope this helped :)

Answer:

-89

Step-by-step explanation:

Answer: 3:4

Step-by-step explanation:

Answer:

hope it becomes helpful to you ☺️☺️

good luck