Find x. (More info in the pic)

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

Answer:

a.) P(duel end in round 1 ) = 0.892

b.) P(duel ends in the 3rd round) = 0.010

c.) P(duel ends in a draw) = 0.418

Step-by-step explanation:

Let

P(A) - Probability that Student A will hit the green.

P(¬A) - Probability that Student A will miss the green.

P(B) - Probability that Student B will hit the green.

P(¬B) - Probability that Student B will miss the green.

Given,

P(A) = 0.55 , P(B) = 0.76

As we know that,

P(A) + P(¬A) = 1

⇒P(¬A) = 1 - P(A)

            = 1 - 0.55

            = 0.45

⇒P(¬A) = 0.45

And

P(B) + P(¬B) = 1

⇒P(¬B) = 1 - P(B)

            = 1 - 0.76

            = 0.24

⇒P(¬B) = 0.24

So, we get

P(A) = 0.55 , P(B) = 0.76

P(¬A) = 0.45, P(¬B) = 0.24

a.)

P(duel end in round 1 ) = P( both hit on green or only one hit on green )

                                     = P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]

                                     = 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]

                                     = 0.418 + [ 0.132 + 0.342 ]

                                     = 0.418 + [ 0.474 ]

                                     = 0.892

⇒P(duel end in round 1 ) = 0.892

b.)

P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )

                                                = [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [     P(A).P(¬B) + P(¬A).P(B) ] }

                                               = [ 0.45(0.24) ] ×  [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }

                                               = [ 0.108 ] ×  [0.108] × { 0.418 + [ 0.132 + 0.342 ] }

                                               = 0.011664 × 0.892

                                               = 0.010404 ≈ 0.010

⇒P(duel ends in the 3rd round) = 0.010

c.)

P(duel ends in a draw) = P(both students' shots land on the green)

                                     = P(A).P(B)

                                     = 0.55(0.76)

                                     = 0.418

⇒P(duel ends in a draw) = 0.418

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D

Answer:

-2 i think i am not sure though

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

Answer:

Step-by-step explanation:

Here are your workings

4.87 x 7.23  simplify

Step 2

(4.87)(7.23)  Add brackets(Optional)

Then you multiply the two exponents to get 35.2101

Your answer would be 35.2101

Complete question :

Which inequality is true if p = 2.8?

3p < 10.2

13.6 ≤ 3.9p

5p > 17.1

8.5 ≥ 2.5p

Answer:

3p < 10.2

8.5 ≥ 2.5p

Step-by-step explanation:

To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :

3(2.8) < 10.2

8.4 < 10.2 ( true)

13.6 ≤ 3.9p

13.6 ≤ 3.9(2.8)

13.6 ≤ 10.92 ( False)

5p > 17.1

5(2.8) > 17.1

14 > 17.1 ( False)

8.5 ≥ 2.5p

8.5 ≥ 2.5(2.8)

8.5 ≥ 7 (True)

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

Ok so if you are rounding it to the nearest tenths place the answer would be 6

hope that's right!!

Answer:

well if you want to get to a whole number it would be 6

Step-by-step explanation:

you get that by well let's say it was 5.5 the second number is over half so it would round up to a whole of 6 but if it was 5.4 it would round down to 5.

I can explain better if needed

Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Answer: x intercept = 6

This is the location (6,0)

===============================================================

Explanation:

I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12

To find the x intercept, plug in y = 0 and solve for x

2x + 3y = 12

2x + 3(0) = 12

2x = 12

x = 12/2

x = 6

The boundary line 2x+3y = 12 crosses the x axis at x = 6.

We can say the x intercept is x = 6. This is the location (6,0).

Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.

Answer:

189

Step-by-step explanation:

6 imes 4.5divide2

13.5

13.5

67.5

54

40.5

Answer:

70% Decrease

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

x = 0.8888888889

Step-by-step explanation:

I think this is the answer... :)

Answer:

M<ADE= 59

Step-by-step explanation:

(4x+15) + (13x+7)=90

x=4

ADE=DBC

13*4=52

52+7=

59

_________________________________

4*4=16

16+15=31

59+31=90

an soo 59 and 31 equal 90 the answer for your question Find mADE.

(4x + 15) -(13x +7° ) the answer is (59)!

Answer:

.........................................................................................................................................................................

Step-by-step explanation:

Answer:

PS = 116

Step-by-step explanation:

Given:

PR = 6x + 16

RS = 12x - 26

Required:

Find PS

Solution:

Since R is the midpoint of PS, therefore,

PR = RS

6x + 16 = 12x - 26

Collect like terms

6x - 12x = -16 - 26

-6x = -42

Divide both sides by -6

x = -42/-6

x = 7

✔️PS = PR + RS (segment addition postulate)

PS = 6x + 16 + 12x - 26

Plug in the value of x

PS = 6(7) + 16 + 12(7) - 26

PS = 42 + 16 + 84 - 26

PS = 116

Answer:

square root of 81.

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

Its b,c,d

Step-by-step explanation:

Answer:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Step-by-step explanation:

I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:

[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]

Sum rule tells us:

[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]

From this we get:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]

Don't forget to add the constant!

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Answer:

Step-by-step explanation:

9/10+5/6 =

27/30+25/30 =

52/30 = 1 22/30 =1 11/15

Answer: 26/15

Step-by-step explanation:

1. First find the common denominator, which is 30

2. Add them

3. Simplify (common factor of 2)

[tex]\frac{27}{30} + \frac{25}{30} \\\\\frac{52}{30} \\\\\\\frac{26}{15}[/tex]

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

Answer:

Faster runner speed: 11 mph

Slower runner speed: 9 mph

Distance from starting point: 9.9 miles

Step-by-step explanation:

Let the slower runner speed be: x

Faster runner speed: x+2

1 hour 6 minutes = 1.1 hours

Slower: 1.1(x) = 1.1x miles

Faster: 1.1(x+2) = 1.1x+2.2 miles

This means that the faster runner had gone 2.2 miles more than the slower runner.

1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)

1.1x > 11 - 2.2 miles

1.1x > 8.8 miles

x > 8.8 / 2.2 miles

x > 8 mph

1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)

x < 11 / 1.1 miles

x < 10 miles

8 < x < 10

Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.

Slower runner distance to the end:

1.1(9) = 9.9 miles

11 - 9.9 = 1.1 miles

Faster runners distance from the end (when coming back)

1.1(9+2) = 1.1(11) = 12.1 miles

12.1 - 11 = 1.1 miles

The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point

Answer: (0,5); y= 4

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

Answer:

Bbc

Step-by-step explanation: