A die is rolled 200 times with the following results.
Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?

a number less than 3
a.
0.68
c.
0.34
b.
0.56
d.
0.66

Answer:

B v D v M ;

(B ٨ M) V (B ٨ D) V (M ٨ D) ;

B V (D ٨ M)

Step-by-step explanation:

Given :

B : Applicant present a birth certificate

D: Applicant presents a drivers license

M applicant presents a marriage license

1.)

This means that any one of the three must be presented :

Birth certificate OR Driver's license OR Marriage certificate

B v D v M

2.)

This means any two combination of the three certificates :

(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)

(B ٨ M) V (B ٨ D) V (M ٨ D)

3.)

That is birth certificate alone will suffice or a driver's incense and a marriage certificate

B V (D ٨ M)

Answer:

Bee is correct .

Step-by-step explanation:

AI thought that while proving congruent , he/she need to look at the closest side.This thinking is wrong.

Answer:

17》6

18》12

19》8

20》3

21》2

the bar with age 18 this is because as you minus from both sides the middle number will be in age 18

Answer:

x= -2

Step-by-step explanation:

Answer:

okay so look

Step-by-step explanation:

you calculate the area of the whole square then the area of the triangle , then you subtract the area of the square with the area of the triangle so you'll get the area of the blue region

Answer: C) 18

Step-by-step explanation:

Your problem → Simplify square root of 324

First find factors of 324

2 324

2 162

3 81

3 27

3 9

3 3

1

324=2×2×3×3×3×3

324 = 2^2 × 3^4

Taking squareroot

∴√324=√2^2 × 3^4

=2 × 3^2

=18

∴ 324 is a perfect square

Answer:

[tex]Mean = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 2, 4, 6, 12, 8, 10.[/tex]

Required

Determine the mean

The mean of a data is calculated as thus:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 6[/tex]

So, the formula becomes:

[tex]Mean = \frac{2+4+6+12+8+10}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

Answer:

152.4 cm

Step-by-step explanation:

multiply the length value by 30.48

Answer:

1.9059 x 10 -12

Step-by-step explanation:

Answer:

77.3

Step-by-step explanation:

V=lwh

4.6*4.2*4.0=77.28

77.28 to the nearest tenth is 77.3

This question is incomplete, the complete question is;

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.

Answer: P( x, y ) = ( -5/13, 12/13 )

Step-by-step explanation:

Given that;

p( x, y ) is on the unit circle,

Radius of the circle must be 1

so the equation x² + y² = r²

x = 12/13 and r = 1

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

Answer:

Please check the explanation.

Step-by-step explanation:

Given the quadratic equation

5x²−2x−9 = 0

To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.

Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then

ax²+bx+c = a(x-x₁)(x-x₂)

Now,

solving the quadratic function 5x²−2x−9 = 0

[tex]-5x^2+2x+9=0[/tex]

subtract 9 from both sides

[tex]-5x^2+2x+9-9=0-9[/tex]

Simplify

[tex]-5x^2+2x=-9[/tex]

Divide both sides by -5

[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]

[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]

Add (-1/5)² to both sides

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]

[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

so solving

[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{\sqrt{46}+1}{5}[/tex]

similarly solving

[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]

Thus, the roots are:

[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]

Conclusion:

Since the roots are irrational, we do not factor further.

Therefore, we leave 5x²−2x−9 as it is.

Answer:

167

Step-by-step explanation:

from 50-60 we have 30 students

60-70. 50 students

70-80. 45 students

80-90. 27 students

90-100. 15 students

30+50+45+27+15= 167

167 students passed

Answer:

167

Step-by-step explanation:

30+50+45+27+15=167

Step-by-step explanation:

Ratio

= Difference between Prediction and Actual / Prediction

= (99 - 88)/99 = 11/99.

Percentage Error

= Difference between Prediction and Actual * 100%

= (99 - 88) * 100% = 11.1%. (1)

The ratio (a) & percent error (b) will be option A which is a=11/99 and b= 11.11% respectively

Approximate value = 99 frames

Exact value = 88 frames

∴ Ratio (a) = (99-88)/99

∴ a = 11/99

∴ Percent error (b) = (11/99) x 100

∴ b = 11.11%

So, the answer of ratio (a) & percent error (b) will be 11/99 and 11.11% respectively

Learn more about Ratio and percent error here:

https://brainly.com/question/5493941

#SPJ2

Answer:

57

Step-by-step explanation:

eliana is coolll

Answer:

z = 25

Step-by-step explanation:

adjacent angles in a rhombus are supplementary

3z - 15 + 7z - 55 = 180

10z - 70 = 180

10z = 250

z = 25

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: [tex]-9(x + 3) + 12 = -3(2x + 5) - 3x[/tex]

[tex]\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0[/tex]

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.

Answer:

x=8

Step-by-step explanation:

44-20=24

24/4=8

Answer:

I am not sure about that

Answer:

Solutions are x=-3, and x = 4.

Step-by-step explanation:

Factor left side of the equation

(x+3)(x-4) = 0

Set Factors Equal To Zero

x + 3 = 0 x - 4 = 0

x = -3 or x= -4

Answer:

62

Step-by-step explanation:

u serious?

Answer:

62

Step-by-step explanation:

change the plus eight to number

54+8=62

9514 1404 393

Answer:

Step-by-step explanation:

The conversions between SI prefix values can be found in any table of those prefixes. Other conversions needed are ...

  1 tbsp = 14.7876478125 mL . . . . commonly rounded to 15 mL

  1 gal = 3.785411784 L

  1 day = 86,400 s

__

  F = 9/5C +32 . . . . . formulas for conversion between temperature scales

  K = C +273.15

_____

Applying the necessary conversions, we have ...

1. 708 mm = 0.708 m  . . .  1000 mm = 1 m

2. 15.6 km = 1560 dam  . . .  100 dam = 1 km

3. 108 cc = 108 mL  . . .  1 cc = 1 mL

4. 8 tbsp ≈ 118.3 mL  . . .  using the above conversion

5. 16.5 L ≈ 4.36 gal  . . .  using the above conversion

6. 3,569 s ≈ 0.04131 days  . . .  using the above conversion

7. 4 score = 960 mo  . . .  1 score = 240 months

8. 299 K = 25.85 °C

9. 200 °F = 93 1/3 °C

10. 10,866 mg = 0.010866 kg  . . .  1,000,000 mg = 1 kg

_____

Additional Comment

For conversions other than temperature, the conversion factor used is one that is equivalent to 1. That is, the numerator has the same value as the denominator—only the units are different. The conversion in general looks like ...

  [tex]nn\text{ units you have}\times\dfrac{A\text{ units you want}}{B\text{ units you have}}=\dfrac{nn\cdot A}{B}\text{ units you want}[/tex]

where the conversion factor is ...

  A units you want = B units you have

Use Euler’s Formula to find the missing number.

18

Answer:

Use Euler’s Formula to find the missing number.

Faces: __8__

Edges: 15

Vertices: 9

Answer is 8

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

is it

Graph this function.

f(t) = -1/3x + 8

Find the asymptotes

Vertical Asymptotes:

[tex]x = 0[/tex]

Horizontal Asymptotes:

[tex]y = 8[/tex]

No oblique asymptotes

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